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	<title>Circuits</title>
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	<link>http://www.circuits.dk</link>
	<description>All about electronics circuits</description>
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		<item>
		<title>Multilayer air core inductor</title>
		<link>http://www.circuits.dk/multilayer-air-core-inductor/</link>
		<comments>http://www.circuits.dk/multilayer-air-core-inductor/#comments</comments>
		<pubDate>Fri, 20 Apr 2012 21:02:10 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
				<category><![CDATA[Calculators]]></category>
		<category><![CDATA[air core]]></category>
		<category><![CDATA[calculator]]></category>
		<category><![CDATA[inductor]]></category>
		<category><![CDATA[Multilayer]]></category>
		<category><![CDATA[soleonid]]></category>

		<guid isPermaLink="false">http://www.circuits.dk/?p=436</guid>
		<description><![CDATA[Formula used in this calculation is from the famous Wheelers approximations which is accurate to &#60;1% if the cross section is near square shaped. L (uH) =31.6*N^2* r1^2 / 6*r1+ 9*L + 10*(r2-r1) where&#8230; Please note that the diameter is measured from center of wire trough center of the coil and to center of the <a href='http://www.circuits.dk/multilayer-air-core-inductor/' class='excerpt-more'>[Read more]</a>]]></description>
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<table>
<tr>
<td>
<span class="su-label su-label-style-default">info</span>Formula used in this<br />
calculation is from the famous Wheelers approximations<br />
which is accurate to &lt;1% if the cross section is near<br />
square shaped.<br />
<br />
L (uH) =31.6*N^2* r1^2 / 6*r1+ 9*L + 10*(r2-r1) </p>
<p> where&#8230;</p>
<div class="su-list su-list-style-gear">
<ul>
<li>L(uH)= Inductance in microHenries</li>
<li>N = Total Number of turns</li>
<li>r1 = Radius of the inside of the coil in meters</li>
<li>r2 = Radius of the outside of the coil in meters</li>
<li>L = Length of the coil in meters</li>
<li></li>
</ul>
</div>
</td>
<td>
<img src="http://www.circuits.dk/wp-content/uploads/2012/04/multilayer-aircore-inductor.jpg" alt="Multilayer air cor inductors" title="multilayer-aircore-inductor" width="115" height="468" class="alignleft size-full wp-image-446" />
</td>
</tr>
</table>
<div class="su-column su-column-1-3 su-column-style-1">
<p class='note'><span class="su-label su-label-style-default">NOTE</span>This formula applies at &#8216;low&#8217; frequencies (&lt;3MHz) using<br />
enameled copper wire tightly wound.</p>
</div>
<p><img src="http://www.circuits.dk/wp-content/uploads/2012/04/multilayer-coil-inductor.jpg" alt="Multilayer air coils" title="multilayer air core inductor" width="468" height="120" class="aligncenter size-full wp-image-448" />   Please note that the diameter is measured from center of wire trough<br />
 center of the coil and to center of the wire on the opposite side.</p>
<form name="form1" action="">
<table cellPadding=2 border=0 width="100%">
<tr>
<td>Inductance (L):</td>
<td align="center"><input size=8 name=inductance></td>
<td>
<select name=LM style="width: 64">
<option value=0.001>uH </p>
<option ION value=1 selected>mH </p>
<option value=1000>H </option>
</select ></td>
</tr>
<tr>
<td>Coil Inner Diameter (d=2*r1):</td>
<td align="center"><input size=8 name=diameter></td>
<td>
<select name=dM style="width: 64">
<option value=1>inches </p>
<option value=0.03937 selected>mm </p>
<option value=0.3937>cm </option >
                            </select ></td>
</tr>
<tr>
<td>Coil Length (l):</td>
<td align="center"><input size=8 name=coilLength></td>
<td>
<select name=lM style="width: 64">
<option value=1>inches </p>
<option value=0.03937 selected>mm </p>
<option value=0.3937>cm </option >
                            </select ></td>
</tr>
<tr>
<td>Wire Gauge:</td>
<td align="center">
<select name=gauge>
<option>1 </p>
<option>2 </p>
<option>3 </p>
<option>4 </p>
<option>5 </p>
<option>6 </p>
<option>7 </p>
<option>8 </p>
<option>9 </p>
<option>10 </p>
<option>11 </p>
<option>12 </p>
<option>13 </p>
<option>14 </p>
<option>15 </p>
<option>16 </p>
<option>17 </p>
<option selected>18 </p>
<option>19 </p>
<option>20 </p>
<option>21 </p>
<option>22 </p>
<option>23 </p>
<option>24 </p>
<option>25 </p>
<option>26 </p>
<option>27 </p>
<option>28 </p>
<option>29 </p>
<option>30 </p>
<option>31 </p>
<option>32 </p>
<option>33 </p>
<option>34 </p>
<option>35 </p>
<option>36 </p>
<option>37 </p>
<option>38 </p>
<option>39 </p>
<option>40 </p>
<option>41 </p>
<option>42 </p>
<option>43 </p>
<option>44 </p>
<option>45 </option>
</select ></td>
<td><font color="#000000">AWG </font></td>
</tr>
<tr bgcolor="#FFFFFF">
<td colSpan=2 align="center">
<div align="center">
                              <input onclick="checkInd()" type=button value="Calculate" name=do_it>
                              </div>
</td>
<td align="center">
<div align="center">
                              <input type=reset value="Clear" name=clear>
                            </div>
</td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Number of Turns (N):</font></td>
<td align="center"><input size=8 name=N></td>
<td> turns</td>
</tr>
<tr bgcolor="#EDEDED">
<td bgcolor="#EDEDED"><font color="#000000">Turns per Layer:</font></td>
<td align="center"><input size=8 name=a11></td>
<td> turns/layer</td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Number of Layers:</font></td>
<td align="center"><input size=8 name=a10></td>
<td>layers</td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Coil Outer Diameter (D):</font></td>
<td align="center"><input size=8 name=a6></td>
<td>
<select name=DM style ="width: 64">
<option value=1>inches </p>
<option value=0.03937 selected>mm </p>
<option value=0.3937>cm </option>
</select ></td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Wire Diameter:</font></td>
<td align="center"><input size=8 name=a3></td>
<td>
<select name=wM style="width: 64">
<option value=1>mils </p>
<option value=39.37 selected>mm </option>
</select ></td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Wire Length:</font></td>
<td align="center"><input size=8 name=a8></td>
<td>
<select name=WM style="width: 64">
<option value=1>feet </p>
<option value=3.281 selected>meters </option>
</select ></td>
</tr>
<tr bgcolor="#EDEDED">
<td width=200><font color="#000000">DC Resistance (R):</font></td>
<td width=100 align="center"><input size=8 name=a2></td>
<td width=200><font color="#000000">&Omega;  (at 20&deg;C) </font></td>
</tr>
</table>
<p>                    <img src="/img/shadow-texttable.gif" border="0" width="780" height="15" alt="image"><br />
                  </form>
<p><strong>If it may happen that you find this multilayer aircoil calculator interesting for others, please consider sharing it.</strong></p>
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		</item>
		<item>
		<title>Single layer air core inductor</title>
		<link>http://www.circuits.dk/single-layer-air-core-inductor-calculator/</link>
		<comments>http://www.circuits.dk/single-layer-air-core-inductor-calculator/#comments</comments>
		<pubDate>Wed, 18 Apr 2012 23:07:38 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
				<category><![CDATA[Calculators]]></category>
		<category><![CDATA[calculator]]></category>
		<category><![CDATA[Single layer inductor]]></category>
		<category><![CDATA[solenoid]]></category>
		<category><![CDATA[Wheeler]]></category>

		<guid isPermaLink="false">http://www.circuits.dk/?p=370</guid>
		<description><![CDATA[Single layer air core inductor calculator. Winding the wire in a single layer produces an inductor with minimal parasitic capacitance, and hence gives the highest possible self-resonant frequency (SRF). Striving to obtain a high SRF and low losses is the key to producing coils which have radio-frequency properties bearing some useful resemblance to pure inductance. <a href='http://www.circuits.dk/single-layer-air-core-inductor-calculator/' class='excerpt-more'>[Read more]</a>]]></description>
				<content:encoded><![CDATA[<p><script type="text/javascript"><!--
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<span class="su-label su-label-style-default">info</span>Single layer air core inductor calculator.<br />
Winding the wire in a single layer produces an inductor with minimal parasitic capacitance, and hence gives the highest possible self-resonant frequency (SRF). Striving to obtain a high SRF and low losses is the key to producing coils which have radio-frequency properties bearing some useful resemblance to pure inductance.<br />
The calculation is based on Wheeler&#8217;s 1928 formula for a single-layer solenoid which is given in its original form as:<br />
L = a² N² / (9a + 10b)     [microHenries] , b > 0.8a<br />
Where b is the coil length in inches, and a is the radius in inches. </p>
<p>To convert this formula to SI units, we will use the symbols r = radius, D = 2r = diameter, l = solenoid length.<br />
Factoring b from the denominator gives:<br />
L = 10-6 a² N² / [ b (10 + 9a/b)]     [Henrys]<br />
The quantity a/b is dimensionless, and so we can immediately substitute in the denominator:<br />
L = 10-6 a² N² / [ b (10 + 9r/l)] = 10-6 a² N² / [ b (10 + 4.5 D/l)]<br />
Factoring 10 from the denominator gives:<br />
L = 10-7 N² ( a² / b ) / (1 + 0.45 D/l) [Henrys]</p>
<p>Please note that the accuracy of this formula is &plusmn;0.33% if the ratio of D/l>0.4. so this formula fits best for long solenoids.</p>
<div class="su-spacer" style="height:5px"></div>
<p>where..</p>
<div class="su-list su-list-style-arrow">
<ul>
<li>L is the inductance in Henry</li>
<li>D is the coil diameter in meters</li>
<li>r is the radius in meters (or D/2)</li>
<li>l is the lenght of the coil in meters</li>
<li>N is the number of turns</li>
</ul>
</div>
<div class="su-column su-column-1-3 su-column-style-0">
<p class='note'><span class="su-label su-label-style-default">note</span>This formula applies at &#8216;low&#8217; frequencies (&lt;3MHz) using enameled copper wire (magnet wire) close wound.
</p></div>
<div class="su-column su-column-1-3 su-column-style-0">
<p class ='note'><span class="su-label su-label-style-default">Tip 1</span>Small reductions in the inductance obtained can be achieved by pulling the turns apart slightly. This will also reduce self-resonance. Other combinations of wire and coil diameter may be tried but best results are usually obtained when the length of the coil is the same as its diameter.
</p></div>
<div class="su-column su-column-1-3 su-column-last su-column-style-0">
<p class ='note'> <span class="su-label su-label-style-default">Tip 2</span> If you need good induction stability in the presence of vibration then wind the coil on a support made from a suitable non magnetic plastic or ceramic former and lock the windings using epoxy glue or other suitable adhesive.
</p></div>
<div class="su-spacer"></div>
<form method="POST" action="" >
<table cellPadding=2 border=0 width="100%">
<tr align="center">
<td colspan="3">
Please note that the diameter is measured from center of wire trough<br />
center of the coil and to center of the wire on the opposite side.</p>
<div id="attachment_412" class="wp-caption aligncenter" style="width: 478px"><img src="http://www.circuits.dk/wp-content/uploads/2012/04/single-layer-aircore-inductor.jpg" alt="" title="Single layer air core inductor dimensions drawing" width="468" height="120" class="size-full wp-image-412" />
<p class="wp-caption-text">Dimensions</p>
</div>
</td>
</tr>
<tr>
<td>Required Inductance (L):</td>
<td><input size=9 name="L"></td>
<td>
<select name=LM STYLE="width: 64">
<option value=0.001>nH </p>
<option value=1 selected>uH </option >
                            </select ></td>
</tr>
<tr>
<td>Coil Diameter (D):</td>
<td><INPUT size=9 name="D"></td>
<td>
<select name=DM STYLE="width: 64">
<option value=1>inches </p>
<option value=0.001>mils </p>
<option value=0.03937 selected>mm </option >
                            </select ></td>
</tr>
<tr>
<td>Wire Diameter (d):</td>
<td><input size=9 name="d"></td>
<td>
<select name=dM STYLE="width: 64">
<option value=1>inches </p>
<option value=0.001>mils </p>
<option value=0.03937 selected>mm </option >
                            </select ></td>
</tr>
<tr>
<td colspan=1 align=center bgcolor="#FFFFFF"><input type="button" name="name" value="Calculate" onClick="solve(this.form);"></td>
<td align=center bgcolor="#FFFFFF"><input TYPE="reset" value="Clear" onClick="clearBoxes(this.form);"></td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Coil Length (l):</font></td>
<td><INPUT size=9 name="l"></td>
<td>
<select name=lM STYLE="width: 64">
<option value=1>inches </p>
<option value=0.001>mils </p>
<option value=0.03937 selected>mm </option >
                            </select ></td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Number of Turns (N):</font></td>
<td bgcolor="#EDEDED"><input size=9 name="N"></td>
<td></td>
</tr>
</table>
<p><img src="/img/shadow-texttable.gif" border="0" width="780" height="15" alt="image"><br />
</form>
]]></content:encoded>
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		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Flat spiral coil inductor</title>
		<link>http://www.circuits.dk/flat-spiral-coil-inductor/</link>
		<comments>http://www.circuits.dk/flat-spiral-coil-inductor/#comments</comments>
		<pubDate>Wed, 18 Apr 2012 14:17:15 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
				<category><![CDATA[Calculators]]></category>
		<category><![CDATA[calculator]]></category>
		<category><![CDATA[FlatSpiral]]></category>
		<category><![CDATA[inductor]]></category>
		<category><![CDATA[spiral]]></category>

		<guid isPermaLink="false">http://www.circuits.dk/?p=255</guid>
		<description><![CDATA[The formula used in this calculation is based on the Harold A. Wheeler approximationsfor air core flat spiral coil inductor. &#8230;where: 1 inch = 0,0254m=2,54cm = 25,4mm. This formula applies at &#8216;low&#8217; frequencies (&#60;30MHz) using enameled copper wire. Some people call it &#34;magnet wire&#34;. Click on image to enlarge Please note that the outer and <a href='http://www.circuits.dk/flat-spiral-coil-inductor/' class='excerpt-more'>[Read more]</a>]]></description>
				<content:encoded><![CDATA[<p> <script type="text/javascript"><!--
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/* 728x90, opprettet 16.11.10 */
google_ad_slot = "2472809530";
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google_ad_height = 90;
//-->
</script><br />
<script type="text/javascript"
src="http://pagead2.googlesyndication.com/pagead/show_ads.js">
</script></p>
<table>
<tr>
<td>
 <span class="su-label su-label-style-default">Info</span><br />
The formula used in this calculation is based on the<br /> Harold A. Wheeler approximations<br />for air core flat spiral coil inductor.</p>
<p><img src="http://www.circuits.dk/wp-content/uploads/2012/04/wheeler_formula.png" alt="" title="wheeler_formula" width="220" height="45" class="alignnone size-full wp-image-278" /></p>
<p><img src="http://www.circuits.dk/wp-content/uploads/2012/04/wheeler_A.png" alt="" title="wheeler_A" width="187" height="39" class="alignnone size-full wp-image-281" /></p>
<p>                        &#8230;where:</p>
<div class="su-list su-list-style-check">
<ul>
<li>L = inductance in &mu;H </li>
<li>Di = inner diameter in inches.</li>
<li>s = distance between windings in inches</li>
<li>w = wire diameter in inches </li>
<li>N = number of turns </li>
<li>Do = outer diameter </li>
</ul>
</div>
<p>1 inch = 0,0254m=2,54cm = 25,4mm.<br />
This formula applies at &#8216;low&#8217; frequencies (&lt;30MHz)<br />
using enameled copper wire. Some people call it &quot;magnet<br />
wire&quot;.</p>
</td>
<td>
Click on image to enlarge</p>
<p><a href="http://www.circuits.dk/wp-content/uploads/2012/04/flat-spiral-coil-inductor.jpg" ><img src="http://www.circuits.dk/wp-content/uploads/2012/04/flat-spiral-coil-inductor-150x150.jpg" alt="Flat spiral coil inductor example" title="flat-spiral-coil-inductor" width="150" height="150" class="alignleft size-thumbnail wp-image-339" /></a>
</td>
</tr>
</table>
<p>                  <!-- FORM TABLE --></p>
<form   method="post" action="">
<table cellPadding=2 border=0 width="100%">
<tbody>
<tr>
<td colspan="3">
Please note that the outer and inner diameter is measured from the center of the wire.</p>
<div id="attachment_338" class="wp-caption aligncenter" style="width: 478px"><img src="http://www.circuits.dk/wp-content/uploads/2012/04/flat-spiral-coil-dimensions.jpg" alt="Flat spiral coil dimensions drawing" title="flat-spiral-coil-dimensions-drawing" width="468" height="120" class="size-full wp-image-338" />
<p class="wp-caption-text">Dimensions</p>
</div>
</td>
</tr>
<tr>
<td>Coil inner diameter (Di):</td>
<td><input size=9 name="Din"></td>
<td>
<select name="Dim" >
<option value=1 >inches </option >
<option value=0.001>mils </option >
<option value=0.03937 selected>mm </option >
                            </select>
</td>
</tr>
<tr>
<td>Number of turns (N):</td>
<td><input size=9 name="N"></td>
</tr>
<tr>
<td>Wire Diameter (w):</td>
<td><input size=9 name="w"></td>
<td>
<select name="wm" >
<option value=1 >inches </option >
<option value=0.001>mils </option >
<option value=0.03937 selected>mm </option >
                            </select ></td>
</tr>
<tr>
<td>Spacing between turns (s):</td>
<td><input size=9 name="s"></td>
<td>
<select name="sm" >
<option value=1 >inches </option >
<option value=0.001>mils </option >
<option value=0.03937 selected>mm </option >
                            </select ></td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Inductance (L):</font></td>
<td><input size=9 name="L"></TD></p>
<td>
<select name="Lm" >
<option value=0.001 >nH </option>
<option value=1 selected>uH </option>
</select>
</td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Outer diameter (Do):</font></td>
<td><input size=9 name="Dout"></td>
<td>
<select name="Dom"  >
<option value="1" >inch</option>
<option value="25.4" selected>mm</option>
<option value="2.54" >cm</option>
</select>
</td>
</tr>
<tr bgcolor="#EDEDED">
<td><font color="#000000">Wire lenght (Wl):</font></td>
<td><input name="wl" type="text" id="Wl" size="9"></td>
<td>
<select name="wlm" >
<option value="1" selected>inch</option>
<option value="25.4">mm</option>
<option value="2.54">cm</option>
<option value="0.0254"selected>m</option>
</select>
</td>
</tr>
<tr bgcolor="#FFFFFF">
<td colspan=2 align=center><input type="button" name="name" value="Calculate" onClick="solve(this.form);"></td>
<td align=center><input type="reset" value="Clear" onClick="clearBoxes(this.form);"></td>
</tr>
</tbody>
</table>
<p>                    <img src="/img/shadow-texttable.gif" border="0" width="750" height="15" alt="image"><br />
                  </form>
<div class="su-spoiler su-spoiler-style-1">
<div class="su-spoiler-title">More about spiral inductors..</div>
<div class="su-spoiler-content">
                          A flat spiral coil is a type of an air core inductor<br />
                          usually incorporated in the primary of a tesla generator,<br />
                          RFID tag, and proximity detectors. In the same category<br />
                          as the flat spiral coils we have planar spiral coils,<br />
                          planar square spiral coils, planar rectangular spiral<br />
                          coils, planar hexagonal spiral coils and octagonal spiral<br />
                          coil. Planar coils are mostly used in high frequency<br />
                          applications and designed as tracks on a circuit board. </p>
<h4>A flat spiral coil belongs to the category of air core inductors</h4>
<p>An &#8220;air core inductor&#8221; is an inductor that does not depend upon a ferromagnetic material to achieve its specified inductance. Some inductors are wound without a bobbin and just air as the core. Some others are wound on a bobbin made of bakelite, platsic, ceramic etc.</p>
<h4>Advantages of an air core coil:</h4>
<p> Its inductance is unaffected by the current it carries.<br />
This contrasts with the situation with coils using ferromagnetic cores whose inductance tends to reach a peak at moderate field strengths before dropping towards zero as saturation approaches. Sometimes non-linearity in the magnetization curve can be tolerated; for example in switching power supplies and in some switching topologies this is an advantage.<br />
In circuits such as audio cross over filters in hi-fi speaker systems you must avoid distortion; then an air coil is a good choice. Most radio transmitters rely on air coils to prevent the production of harmonics.<br />
Air coils are also free of the &#8220;iron losses&#8221; which a problem with ferromagnetic cores. As frequency is increased this advantage becomes progressively more important. You obtain better Q-factor, greater efficiency, greater power handling, and less distortion.<br />
Lastly, air coils can be designed to perform at frequencies as high as 1 Ghz. Most ferromagnetic cores tend to be rather lossy above 100 MHz. </p>
<h4>And the &#8220;downside&#8221;:</h4>
<p> Without a high permeability core you must have more and/or larger turns to achieve a given inductance value. More turns means larger coils, lower self-resonance dur to higher interwinding capacitance and higher copper loss. At higher frequencies you generally don&#8217;t need high inductance, so this is then less of a problem.<br />
Greater stray field radiation and pickup:<br />
With the closed magnetic paths used in cored inductors radiation is much less serious. As the diameter increases towards a wavelength (lambda = c / f), loss due to electromagnetic radiation will become significant. You may be able to reduce this problem by enclosing the coil in a screen, or by mounting it at right angles to other coils it may be coupling with.<br />
You may be using an air cored coil not because you require a circuit element with a specific inductance per se but because your coil is used as a proximity sensor, loop antenna, induction heater, Tesla coil, electromagnet, magnetometer head, or deflection yoke etc. Then an external radiated field may be what you want.
                           </p></div>
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		<title>Planar spiral coil inductor</title>
		<link>http://www.circuits.dk/planar-spiral-coil-inductor/</link>
		<comments>http://www.circuits.dk/planar-spiral-coil-inductor/#comments</comments>
		<pubDate>Tue, 17 Apr 2012 14:13:36 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
				<category><![CDATA[Calculators]]></category>
		<category><![CDATA[calculator]]></category>
		<category><![CDATA[coil]]></category>
		<category><![CDATA[inductor]]></category>
		<category><![CDATA[planar]]></category>
		<category><![CDATA[spiral]]></category>

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		<description><![CDATA[The first approximation is based on a modification of an expression developed by Wheeler; the second is derived from electromagnetic principles by approximating the sides of the spirals as current-sheets; and the third is a monomial expression derived from fitting to a large database of inductors (and the exact inductance values). All three expressions are <a href='http://www.circuits.dk/planar-spiral-coil-inductor/' class='excerpt-more'>[Read more]</a>]]></description>
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<p><span class="su-label su-label-style-default">Push image to enlarge</span></p>
<table>
<tr>
<td>
<a href="http://www.circuits.dk/wp-content/uploads/2012/04/square_spiral_pcb_coil.jpg"><img src="http://www.circuits.dk/wp-content/uploads/2012/04/square_spiral_pcb_coil-150x150.jpg" alt="Square planar spiral coil" title="square_spiral_pcb_coil" width="150" height="150" class="alignleft size-thumbnail wp-image-220" /></a>
</td>
<td>
<a href="http://www.circuits.dk/wp-content/uploads/2012/04/hexagon_spiral_pcb_coil.jpg"><img src="http://www.circuits.dk/wp-content/uploads/2012/04/hexagon_spiral_pcb_coil-150x150.jpg" alt="Hexagon spiral coil inductor" title="hexagon_spiral_pcb_coil" width="150" height="150" class="alignleft size-thumbnail wp-image-217" /></a>
</td>
<td>
<a href="http://www.circuits.dk/wp-content/uploads/2012/04/octagon_spiral_pcb_coil.jpg"><img src="http://www.circuits.dk/wp-content/uploads/2012/04/octagon_spiral_pcb_coil-150x150.jpg" alt="Octagon spiral coil inductor" title="octagon_spiral_pcb_coil" width="150" height="150" class="alignleft size-thumbnail wp-image-218" /></a>
</td>
<td>
<a href="http://www.circuits.dk/wp-content/uploads/2012/04/sircular_spiral_pcb_coil.jpg"><img src="http://www.circuits.dk/wp-content/uploads/2012/04/sircular_spiral_pcb_coil-150x150.jpg" alt="Sircular spiral coil inductor" title="sircular_spiral_pcb_coil" width="150" height="150" class="alignleft size-thumbnail wp-image-219" /></a>
</td>
</tr>
</table>
<p><span class="su-label su-label-style-default">Info</span>The first approximation is based on a modification of an expression developed by Wheeler; the second is derived from electromagnetic principles by approximating the sides of the spirals as current-sheets; and the third is a monomial expression derived from fitting to a large database of inductors (and the exact inductance values). <br />All three expressions are accurate, with typical errors of 2 &#8211; 3%, and very simple, and are therefore excellent candidates for use in design and synthesis. The thickness of the inductor has only a very small effect on inductance and will therefore be ignored.</p>
<div class="su-note" style="background-color:#e1e1e1;border:1px solid #c3c3c3">
<div class="su-note-shell" style="border:1px solid #f7f7f7;color:#414141"> <strong>Notes</strong>:<br />
Push &#8220;Defaults&#8221; button to fill in some values.Then push &#8220;calculate&#8221;.<br />
1&mu;m =0.001mm<br />
1&mu;m =0.00003937007874015748 inch
</div>
</div>
<form name="spiralcalc" action="">
<table width="450px">
<tr>
<td valign="top"> Number of turns (n):</td>
<td valign="top"> <input size=9 name="n" type="text">turns</td>
</tr>
<tr>
<td valign="top">Spacing between turns (s):</td>
<td valign="top"> <input size=9 name="s" type="text">&mu;m</td>
</tr>
<tr>
<td valign="top"> Turn width (w):</td>
<td valign="top"> <input size=9 name="w" type="text">&mu;m</td>
</tr>
<tr>
<td valign="top">Outer Diameter (dout):</td>
<td valign="top"> <input size=9 name="dout" type="text">&mu;m</td>
</tr>
<tr bgcolor="#DEDEDE">
<td valign="top"> <font color="#000000">Calculated Inner diameter </font></td>
<td valign="top"> <input name="Din" type="text" size="8"><font color="#000000">&mu;m</font></td>
</tr>
<tr bgcolor="#DEDEDE">
<td valign="top"> <font color="#000000">Fill factor p=(Dout-Din)/(Dout+Din)</font></td>
<td valign="top"> <input name="Rho" type="text" size="8"><font color="#000000"></font></td>
</tr>
<tr bgcolor="#DEDEDE">
<td valign="top"> &nbsp;</td>
<td valign="top"> <font color="#000000">Square</font></td>
<td valign="top"> <font color="#000000">Hexagonal</font></td>
<td valign="top"> <font color="#000000">Octagonal</font></td>
<td valign="top"> <font color="#000000">Circular</font></td>
</td>
<tr bgcolor="#DEDEDE">
<td valign="top"> <font color="#000000">Modified Wheeler</font></td>
<td valign="top"> <input name="Lws" type="text" size="8">nH</td>
<td valign="top"> <input name="Lwh" type="text" size="8">nH</td>
<td valign="top"> <input name="Lwo" type="text" size="8">nH</td>
<td valign="top"> <input name="Lwc" type="text" size="8">nH</td>
</tr>
<tr bgcolor="#DEDEDE">
<td valign="top"> <font color="#000000">Current Sheet</font></td>
<td valign="top"> <input name="Lcs" type="text" size="8">nH</td>
<td valign="top"> <input name="Lch" type="text" size="8">nH</td>
<td valign="top"> <input name="Lco" type="text" size="8">nH</td>
<td valign="top"> <input name="Lcc" type="text" size="8">nH</td>
</tr>
<tr bgcolor="#DEDEDE">
<td valign="top"> <font color="#000000">Monomial Fit</font></td>
<td valign="top"><input name="Lms" type="text" size="8">nH</td>
<td valign="top"><input name="Lmh" type="text" size="8">nH</td>
<td valign="top"><input name="Lmo" type="text" size="8">nH</td>
<td valign="top"><input name="Lmc" type="text" size="8">nH</td>
</tr>
<tr>
<td align="center"><input name="calc" type=button value="Calculate" onClick="calculate()"></td>
<td align="center"><input name="defaults" type=button value="Defaults" onClick="initdef()"></td>
</tr>
</table>
</form>
<p>&nbsp;</p>
<div class="su-note" style="background-color:#ffd633;border:1px solid #e5b800">
<div class="su-note-shell" style="border:1px solid #fff5cc;color:#4c3d00"> <strong>Reference:</strong><br />
S.S. Mohan, M. Hershenson, S.P. Boyd and T.H. Lee<br />
<a href="http://smirc.stanford.edu/papers/JSSC99OCT-mohan.pdf" target="_blank">Simple Accurate Expressions for Planar Spiral Inductances</a><br />
<i>IEEE Journal of Solid-State Circuits</i>, Oct. 1999, pp. 1419-24.<br /> For multilayer spiral pcb coils see here:<br /><a href="http://www.edn.com/file/25510-A_new_calculation_for_designing_multilayer_planar_spiral_inductors_PDF.pdf" target="_blank">A new calculation for designing multilayer planar spiral inductors</a> </div>
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		<title>Power Tips from EE-Times</title>
		<link>http://www.circuits.dk/power-tips-from-ee-times/</link>
		<comments>http://www.circuits.dk/power-tips-from-ee-times/#comments</comments>
		<pubDate>Sun, 15 Apr 2012 19:24:27 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
				<category><![CDATA[Resources]]></category>
		<category><![CDATA[emc]]></category>
		<category><![CDATA[feedback]]></category>
		<category><![CDATA[filter]]></category>
		<category><![CDATA[flyback]]></category>
		<category><![CDATA[forward]]></category>
		<category><![CDATA[mosfetdriver]]></category>
		<category><![CDATA[powerdesign]]></category>
		<category><![CDATA[powersupply]]></category>
		<category><![CDATA[smps]]></category>
		<category><![CDATA[snubber]]></category>
		<category><![CDATA[TL431]]></category>

		<guid isPermaLink="false">http://www.circuits.dk/?p=51</guid>
		<description><![CDATA[With the emphasis today on the need for more efficient and cost-effective power solutions, EE-Times created this column to provide helpful tips on a variety of power management topics. This column is geared towards design engineers at all levels. Whether you&#8217;ve been in the power business a long time or just coming on the power <a href='http://www.circuits.dk/power-tips-from-ee-times/' class='excerpt-more'>[Read more]</a>]]></description>
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<p class='note' >With the emphasis today on the need for more efficient and cost-effective power solutions, EE-Times created this column to provide helpful tips on a variety of power management topics. This column is geared towards design engineers at all levels. Whether you&#8217;ve been in the power business a long time or just coming on the power scene, you&#8217;ll find some nuggets of information that just might help you with your next design challenge.</p>
<div class="su-list su-list-style-link">
<ul>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/208802819" target="_blank">#1, July 2008: &#8220;Picking the right operating frequency for your power supply&#8221;</a><br />
Selecting the optimum operating frequency for your power supply is a complex tradeoff<br />
involving size, efficiency, and cost. In general, low-frequency designs tend to be the<br />
most efficient, but are the largest and most costly. Moving higher in switching frequency improves<br />
size and cost at the expense of circuit losses. This article use a simple buck power supply to<br />
illustrate these tradeoffs.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/209902227" target="_blank">#2, August 2008: &#8220;Taming a noisy power supply&#8221;</a>A noise-free power supply is not an accident. A good power supply layout in particular is essential to minimize lab time when bringing up a new design. A few hours or even minutes spent looking over the layout can save days of troubleshooting.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/210500098" target="_blank">#3, September 2008: &#8220;Damping the input filter&#8211;Part 1&#8243;</a>While switching regulators are often preferred over linear regulators because they are more efficient, the switching topology leans heavily on an input filter. This circuit element, combined with the supply&#8217;s typically negative dynamic impedance, can contribute to oscillation issues. Here&#8217;s how to avoid the problem.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/210604698" target="_blank">#4, October 2008: &#8220;Damping the input filter&#8211;Part 2&#8243;</a><br />
A general criterion has been established that the source impedance of an input filter should be at least 6dB less than the input impedance of a switching regulator as a safety margin to minimize the chance for oscillation. This article is about designing such a filter.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/212000569" target="_blank">#5, November 2008: &#8220;Buck-boost design uses a buck controller&#8221;</a><br />
Electronic circuits typically operate from regulated positive output voltages, often provided by buck regulators. If a negative output voltage is also required, the same buck controller often can be configured in a buck-boost topology. A negative output voltage buck-boost, sometimes called a negative flyback, operating at 50% duty-cycle provides an output voltage equal to the input voltage, only opposite in polarity. It has the ability to &#8220;buck&#8221; or &#8220;boost&#8221; the output voltage to maintain regulation by adjusting the duty cycle as the input voltage fluctuates.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/212201535" target="_blank">#6, December 2008: &#8220;Accurately Measuring Power Supply Ripple&#8221;</a><br />
Measuring power supply ripple properly is an art&#8230;..</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/powersupplies/212701082" target="_blank">#7, January 2009: &#8220;Efficiently driving LEDs offline&#8221;</a><br />
Transition Mode SEPIC Functions as a Simple LED Driver.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/213001205" target="_blank">#8, January 2009: &#8220;Reduce EMI by varying power supply frequency&#8221;</a><br />
Have you ever tested for EMI and found that no matter what you do in the way of filtering, you are still a few dB out of specification? Here is a technique that may help you pass the EMI requirements or possibly simplify your filter design.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/215900531" target="_blank">#9, March 2009: &#8220;Estimating Surface Mounted Semiconductor Temperature Rise&#8221;</a><br />
Semiconductors mounted in thermally enhanced packages require the circuit board to function as the heat sink and provide all necessary cooling.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/216500143" target="_blank">#10, April 2009: &#8220;Simply Estimate Load Transient Response&#8221;</a><br />
This Power Tip from Texas Instruments Robert Kollman presents a simple method to estimate the transient response of a power supply by knowing the control bandwidth and output filter capacitor characteristic.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/217300383" target="_blank">#11, May 2009: &#8220;Resolve Power Supply Circuit Losses&#8221;</a><br />
This Power Tip presents a simple method to help resolve differences between calculations and actual measurement. It is based on the Taylor series expansion that states (after some liberties are taken) that any function can be resolved into a polynomial.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/218400578" target="_blank">#12, July 2009: &#8220;Maximize Power Supply Efficiency&#8221;</a><br />
This article shows how you might use the Taylor series to maximize your power supply efficiency at particular load current.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/218500155" target="_blank">#13, July 2009: &#8220;Don&#8217;t get burned by inductor core losses&#8221;</a><br />
Have you ever powered up a buck regulator, tested it at full power, then have a permanent reminder left when you perform the inductor finger-tip temperature test? Maybe, excessive core losses and ac winding losses are the culprits. With a 100-kHz switching frequency, this generally isn&#8217;t an issue because core loss constitutes around 5% to 10% of the total inductor loss. Hence, the corresponding temperature rise.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/218900164" target="_blank">#14, July 2009: &#8220;SEPIC converter makes an efficient bias supply&#8221;</a><br />
Have you considered using a single-ended primary inductor converter (SEPIC) topology for a bias supply? If you don&#8217;t need isolation, it just might make sense. The SEPIC has several features that make it more attractive than a non-isolated flyback. MOSFET and output rectifier ringing are controlled to reduce electromagnetic interference (EMI) and voltage stress. In many cases, this lets you use lower voltage parts, which may cost less and be more efficient. Also, a multiple-output SEPIC improves cross regulation between outputs, which may eliminate the need for linear regulators.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4012512/Design-a-low-cost-high-performance-LED-driver?Ecosystem=embedded" target="_blank">#15, September 2009: &#8220;Design a low-cost, high-performance LED driver&#8221;</a><br />
 As LED production costs fall, they&#8217;re being used more frequently in applications ranging from handheld devices, to automotive, to architectural lighting. Their high reliability (operational lifetimes of greater than 50,000 hours), good efficiency (175 Lumens/W), and nearly instantaneous response make them a very attractive light source. However, driving LEDs is not without its challenges.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/220601014" target="_blank">#16, September 2009: &#8220;Snubbing the forward converter&#8221;</a><br />
Do you struggle with picking snubber components? Figuring out how much capacitance and resistance to add can seem challenging. Here&#8217;s a quick way to get through the problem.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/221600356" target="_blank">#17, November 2009: &#8220;Snubbing the flyback Converter&#8221;</a><br />
Now, we look at snubbing the FET turn-off voltage in the flyback converter.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/222000672" target="_blank">#18, December 2009: &#8220;Your regulator&#8217;s output-voltage accuracy may not be as bad as you think&#8221;</a><br />
Output voltages are falling and voltage regulation requirements are getting tighter. However, your job may not be as difficult as it might seem on the surface. Even though you are forced to design with resistors with tolerance of one percent or worse, you may still be able to provide very precise output voltages.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/222300160" target="_blank">#19, January 2010: &#8220;Easily create multiple negative output voltages&#8221;</a><br />
The C&#8217;UK converter excels in this application.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/222601016" target="_blank">#20, February 2010: &#8220;Watch those unintended resonant responses&#8221;</a><br />
Have you ever snapped on the input voltage to your power supply and found that your power supply has failed? A rapid input-voltage rise time and high Q resonant circuit that can produce twice the voltage of the input supply may be the problem. Similar problems can occur if you rapidly interrupt current flow in inductive elements.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/223100643" target="_blank">#21, March 2010: &#8220;Watch That Capacitor RMS Ripple Current Rating!&#8221;</a><br />
One of the often overlooked stresses in power supplies is the input capacitor RMS (root mean square) current. If not properly understood, excessive current can cause the capacitor to overheat and fail prematurely.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/224201223" target="_blank">#22, April 2010: &#8220;Avoid These Common Error Amp Pitfalls&#8221;</a><br />
Here is a short collection of power-supply error-amplifier pitfalls that you can easily avoid. They include improperly calculating the gain of the error amplifier, asking the amplifier to do something it can&#8217;t, and improperly laying the circuit out.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/224701069" target="_blank">#23, May 2010: &#8220;Improve a power-supply&#8217;s load-transient response&#8211;Part 1&#8243;</a><br />
This power tip will focus on closing the feedback loop in an isolated power supply with a TL431 shunt regulator. It will discuss a method to widen the power supply control loop bandwidth to improve transient load and line response.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.powermanagementdesignline.com/howto/225700619" target="_blank">#24, June 2010: &#8220;Convert parallel impedances to series impedances&#8221;</a><br />
This Power Tip shows you how to do a quick conversion of parallel-to-series complex impedances (and vice versa).</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://new.eetimes.com/design/power-management-design/4201187/Power-Tip-25--Improve-a-power-supply-s-load-transient-response-Part-2-" target="_blank">#25: July 2010: &#8220;Improve a power supply&#8217;s load transient response&#8211;Part 2&#8243;</a><br />
This Power Tip, a follow-on to Power Tip 23, focuses on closing the feedback loop in an isolated power supply with a TL431 shunt regulator. It discusses a method to widen the power supply control loop bandwidth to improve transient load and line response.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4205892/Power-Tip-26--Current-distribution-in-high-frequency-conductors" target="_blank">#26: August 2010: &#8220;Current distribution in high-frequency conductors&#8221;</a><br />
In this Power Tip, we will look at the effective resistance of conductors in free space and wound structures.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4207264/Paralleling-power-supplies-using-the-droop-method" target="_blank">#27: September 2010: &#8220;Paralleling power supplies using the droop method&#8221;</a><br />
In this Power Tip, we will look at a simple method to parallel supplies.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://new.eetimes.com/design/power-management-design/4209803/Power-Tip-28--Estimating-transient-temperature-rise-in-a-hot-swap-MOSFET-Part-1?Ecosystem=power-management-design" target="_blank">#28: October 2010: &#8220;Power Tip 28: Estimating transient temperature rise in a hot-swap MOSFET-Part 1&#8243;</a><br />
In this Power Tip #28 and the next (#29), we will look at a simple method to estimate the temperature rise of a hot-swap MOSFET. A hot-swap circuit is used to limit inrush current when plugging a capacitive input device into a voltage bus that is energized.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://new.eetimes.com/design/power-management-design/4210499/Power-Tip-29--Estimating-transient-temperature-rise-in-a-hot-swap-MOSFET-Part-2-?Ecosystem=power-management-design" target="_blank">#29: November 2010: &#8220;Power Tip 29: Estimating transient temperature rise in a hot-swap MOSFET-Part 2 &#8220;</a><br />
In this Power Tip, we conclude looking at a simple method to estimate the temperature rise of a hot-swap MOSFET.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4211248/Power-Tip-30--Low-voltage-buck-IC-makes-simple--inexpensive-bias-supply-?cid=NL_PowerManagement&amp;Ecosystem=power-management-design" target="_blank">#30: December 2010: &#8220;Power Tip 30: Low-voltage buck IC makes simple, inexpensive bias supply&#8221;</a><br />
In this Power Tip, we are looking at a simple circuit to convert a high AC input voltage to a much lower DC voltage usable in applications such as e-metering. In this particular application, there is no need to isolate the output voltage from the input voltage. Here, the rectified AC input voltage can be as high as 375 VDC, and output in the range of 5 Volts at currents of several hundred milliamps. These high-volume applications are often cost-driven, so a low parts count/low cost circuit is required.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4212607/Power-Tip-31--Pick-the-right-resistance-ratio-of-synchronous-buck-MOSFETs-" target="_blank">#31: January 2011: &#8220;Pick the right resistance ratio of synchronous buck MOSFETs&#8221;</a><br />
In this Power Tip, we will look at a trade study of conduction power dissipation in a synchronous-buck power stage as a function of duty factor and the ratio of FET resistances. The results of this trade study provide a useful starting point for the selection of the FETs.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4213272/Power-Tip-32--Beware-ofcirculating-currents-in-a-SEPIC-coupled-inductor-Part-1" target="_blank">#32: February 2011: &#8220;Beware of circulating currents in a SEPIC coupled-inductorâ€“Part 1&#8243;</a><br />
In this Power Tip, we establish the leakage inductance requirements for the coupled-inductor in a SEPIC topology. The SEPIC is a useful topology when electrical isolation between the primary and secondary circuit is not required and when the input voltage is higher or lower than the output voltage. It can also be used in place of a boost converter when short circuit protection is required.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4213914/Power-Tip-33--Beware-of-circulating-currents-in-a-SEPIC-coupled-inductor---Part-2?Ecosystem=power-management-design" target="_blank">#33: March 2011: &#8220;Beware of circulating currents in a SEPIC coupled-inductorâ€“Part 2&#8243;</a><br />
In this Power Tip, we continue our discussion from Power Tip 32 â€“ Part 1 of establishing the leakage inductance requirements for a coupled inductor in a SEPIC topology. Previously, we discussed the fact that the coupling capacitorâ€™s AC voltage is impressed across the leakage inductance of the coupled inductor. The voltage across the leakage inductance can induce large circulating currents in the power supply. In Part 2, we show measured results of a power supply built with a loosely coupled and tightly coupled inductor.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4214687/Power-Tip-34--Design-a-simple--isolated-bias-supply-?Ecosystem=power-management-design" target="_blank">#34: April 2011: &#8220;Design a simple, isolated bias supply&#8221;</a><br />
Have you ever come across the need to generate an isolated power supply for gate drive, isolated sensing or communication circuits? In this Power Tip, we will take a look at a circuit that can do this with minimal parts count, complexity, and cost. This circuit finds use when you have a low input voltage available and the powered circuits allow some (five percent) supply-voltage variation.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4215828/Power-Tip-35--Minimize-transformer-interwinding-capacitance-effects-?Ecosystem=power-management-design" target="_blank">#35: May 2011: &#8220;Minimize transformer interwinding capacitance effects&#8221;</a><br />
Have you ever designed a low-power flyback converter with a high turns ratio? If so, you probably encountered problems with interwinding capacitance. In this Power Tip, we take a look at techniques to reduce the capacitance effects that allow higher frequency operation.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4217040/Power-Tip-36--Higher-voltage-LEDs-improve-light-bulb-efficiency" target="_blank">#36: June 2011: &#8220;Higher-voltage LEDs improve light bulb efficiency&#8221;</a><br />
There is much interest in replacing incandescent screw-in light bulbs with bulbs that use LEDs as the light source. Typically, a small number of LEDsâ€”between five and nineâ€”are connected in series and a power supply has to convert the line voltage to a low voltage, typically tens of volts, at currents around 350 to 700 mA. There are a number of trade-offs in determining how to best isolate the consumer from the line voltage. Isolation can be accomplished either in the power supply or in the mounting of the LEDs. In these lower-power designs, physical isolation of the LEDs is a common choice as it allows the use of a cheaper, non-isolated power supply.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4217792/Power-Tip-37--Trade-AC-line-range-for-input-capacitor-ripple-current-" target="_blank">#37: July 2011: &#8220;Trade line range for input-capacitor ripple current&#8221;</a><br />
An interesting tradeoff occurs when you select the input filter capacitor in a low-power, offline power supply. You trade the ripple-current rating of the capacitor for the voltage range over which the supply needs to operate. By increasing the input capacitor, you apply more ripple current in it and narrow the operating input voltage range of the power supply by decreasing the droop in the input capacitor.<br />
This impacts the transformer turns ratio and various voltage and current stresses within the power supply.<br />
A larger capacitor ripple current rating means less stress and a more efficient power supply.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4218752/Power-Tip-38--Simple-latch-circuit-protects-power-supplies-" target="_blank">#38: August 2011: &#8220;Simple latch circuit protects power supplies&#8221;</a><br />
Have you ever needed a simple, inexpensive latch circuit? This power tip shows one that can provide fault protection in power supplies with only pennies of components. It is basically a silicon controlled rectifier (SCR) implemented with discrete components.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://eetimes.com/design/power-management-design/4227394/Power-Tip-39--You-get-more-than-just-better-efficiency-by-going-synchronous-" target="_blank">#39, September 2011: &#8220;You get more than just better efficiency by going synchronous&#8221;</a><br />
Have you ever been asked to design a power supply with good load-transient response at light load?<br />
If so, and you allowed the power supply to go discontinuous, you probably discovered that the gain<br />
in the control loop decreases greatly at light loads. This can result in poor transient response and<br />
the need for a massive output filter capacitor. A simpler approach is to make the power supply continuous at all loads.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li><a href="http://www.eetimes.com/design/power-management-design/4229769/Power-Tip-40--Common-mode-currents-and-EMI-in-non-isolated-power-supplies-?cid=NL_PowerManagement&amp;Ecosystem=power-management-design" target="_blank">#40, October 2011: &#8220;Common-mode currents and EMI in non-isolated power supplies&#8221;</a><br />
Have you dismissed common-mode currents in a non-isolated power supply as a potential electromagnetic interference (EMI) source?</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://eetimes.com/design/power-management-design/4230562/Power-Tip-41--Powering-DDR-memory-" target="_blank"> #41, November 2011: Powering DDR memory </a><br />
Power dissipation within CMOS logic systems is primarily related to clock frequency, input capacitance of the various gates within the system, and the supply voltage. As device feature sizes and, hence, supply voltages have been reduced, significant gains have been made in lowering dissipation at the gate level.  </li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://eetimes.com/design/power-management-design/4231249/Power-Tip-42--Part-1--Discrete-devices-a-good-alternative-to-integrated-MOSFET-drivers-" target="_blank"> #42 (Part 1): Discrete devices—a good alternative to integrated MOSFET drivers</a><br />
Many times in power-supply design, an engineer is faced with the problem of limited drive current available from his control IC, or too much power being dissipated in it due to gate-drive losses. To mitigate these issues, external drivers are often used. Semiconductor manufacturers (including TI) have ready-made MOSFET-driver solutions in the form of integrated circuits</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://www.eetimes.com/design/power-management-design/4234630/Power-Tip-43--Discrete-devices-a-good-alternative-to-integrated-MOSFET-drivers--Part-2-" target="_blank"> #43: Discrete devices—a good alternative to integrated MOSFET drivers (Part 2)</a><br />
In Power Tip #42, we discussed an emitter follower used in MOSFET gate-drive circuits and saw that drive currents in the 2-A range are achievable with small SOT-23 transistors. In this Power Tip, we look at self-driven synchronous rectifiers and discuss when discrete drivers are needed to protect the synchronous rectifier gates from excessive voltages.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://www.eetimes.com/design/power-management-design/4236503/Power-Tip-44--Handling-high-dI-dt-load-transients--Part-1-" target="_blank"> #44: Handling high dI/dt load transients, Part 1</a><br />
With many central processing units (CPUs), specifications require that the power supply must be capable of providing large, rapidly changing output currents, typically as the processor changes operating modes.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://www.eetimes.com/design/power-management-design/4238184/Power-Tip-45--Handling-high-dI-dt-load-transients--Part-2?Ecosystem=power-management-design" target="_blank"> #45: &#8220;Handling high dI/dt load transients, Part 2&#8243;</a><br />
In Power Tip #44, we discussed capacitive bypassing requirements for loads with rapidly changing currents. We found it imperative to have low equivalent series inductance (ESL) capacitors physically close to the load, as less than 0.5 nH can create unacceptable voltage excursions.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://www.eetimes.com/design/power-management-design/4370957/Power-Tip-46--Time-your-synchronous-buck-FETs-properly" target="_blank"> Power Tip 46: Time your synchronous-buck FETs properly</a><br />
In this Power Tip, we investigate the importance of timing between the high-side and low-side FET gate drives in a synchronous buck regulator. Timing optimization is becoming increasingly important as engineers strive to eke out the best possible efficiency in their power supply.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://www.eetimes.com/design/power-management-design/4372834/Power-Tip-47--Tame-conducted-common-mode-emissions-in-isolated-switchers--Part-1-" target="_blank"> Power Tip 47: Tame conducted common-mode emissions in isolated switchers (Part 1)</a><br />
In this Power Tip, we continue our discussion of common mode currents which began in Power Tip 40. There we discussed how common-mode currents are created by large voltage swings found in switching stages, which drive currents into the capacitances to chassis ground.</li>
<div class="su-divider"><a href="#">Top</a></div>
<li>
<a href="http://www.eetimes.com/design/power-management-design/4375576/Power-Tip-48--Tame-conducted-common-mode-emissions-in-isolated-switchers---Part-2-?cid=NL_PowerManagement&#038;Ecosystem=power-management-design" target="_blank"> Power Tip 48: Tame conducted common-mode emissions in isolated switchers (Part 2)</a><br />
We continue our discussion of common-mode currents which started in Power Tip 47 part 1.<br />
We discussed that we can return common-mode currents to their source by using a chassis capacitor, which also reduces the source impedance of the noise. However, there is a safety limit as to how much capacitance we can use, which determines the remainder of the common-mode filter.</li>
</ul>
</div>
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		<title>Design check list</title>
		<link>http://www.circuits.dk/design-check-list/</link>
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		<pubDate>Fri, 13 Apr 2012 13:33:34 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
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		<description><![CDATA[This page is an Electronics Design Check list. It was originally obtained from a HP document. It has been extensively adapted to suit my and hopefully other design engineers requirements. Copy it and edit it as you see fit. Some checks are done automatic with most schematic and pcb layout software, but serve as reminders. <a href='http://www.circuits.dk/design-check-list/' class='excerpt-more'>[Read more]</a>]]></description>
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<p>This page is an Electronics Design Check list. It was<br />
originally obtained from a HP document. It has been<br />
extensively adapted to suit my and hopefully other design<br />
engineers requirements. Copy it and edit it as you<br />
see fit. Some checks are done automatic with most schematic<br />
and pcb layout software, but serve as reminders.</p>
<h2>Schematics</h2>
<p><strong>Drawing Basics</strong></p>
<p>1. Use a suitable universal file name for schematics,<br />
and backup the file. Consider how useful &#8220;new_powersupply.scm&#8221;<br />
will look in a few years.</p>
<p>2. Title block completed on all schematic and other<br />
drawings.</p>
<p>3. Check pin numbers of all custom-generated parts.<br />
Especially check the rotation direction on footprints,<br />
considering surface mount and DIP can be confusing.<br />
Pinout may vary between DIP and various SMD packages.</p>
<p>4. Check power and ground pins of devices. Check supply<br />
voltages as well as supply types are used appropriately<br />
(battery, switched, ref_1V ).</p>
<p>5. Check hidden power and ground connections &#8211; or don&#8217;t<br />
use them.</p>
<p><strong>Device Rules</strong></p>
<p>1. Unused CMOS inputs should always be pulled up or<br />
down. Consider logic pins not connected directly to<br />
power or ground but use resistors for in-circuit testing<br />
and modifications.</p>
<p>2. Spare connector and IC pins accessible on prototype<br />
boards, just in case. Use resistors to tie them to ground<br />
so connection points are available.</p>
<p>3. CMOS gates always operated by logic levels at the<br />
rails to minimize current.</p>
<p>4. No outputs joined together except open collector<br />
(collector or drain ORed).</p>
<p>5. Inputs have current limiting resistors to protect<br />
against expected voltages.</p>
<p>6. Outputs have current limiting to protect against<br />
shorts and can supply expected currents.</p>
<p>7. Logic circuits not loaded inappropriately (to non<br />
logic levels).</p>
<p>8. Open collector outputs have on board pullups. Check<br />
that output pullup voltage is not restricted unexpectedly<br />
by internal clamp diodes to the power rail.</p>
<p>9. Minimize opamp loads, especially LM324 and LM358<br />
outputs loaded lightly to prevent distortion as the<br />
device switches to higher current mode. (&lt; 50 microamps,<br />
and provide DC load to common).</p>
<p>10. Ensure inputs of unused opamps are not left floating,<br />
and the amplifier is configured appropriately (so it<br />
cannot oscillate).</p>
<p>11. Check time delays and slew rates of opamps used<br />
as comparators.</p>
<p>12. Use current limiting resistors on opamp inputs always<br />
(1 mA).</p>
<p>13. Check common mode input voltage range on opamps.<br />
It is not always rail to rail.</p>
<p>14. Check failure modes and effects of failed power<br />
semiconductors.</p>
<p>15. Devices with quasi-bidirectional ports must not<br />
have pull down resistors attached &#8211; they can toggle<br />
the state.</p>
<p>16. Use hard pulldowns to get a low (&lt; 1 K), or add<br />
stronger pullup resistor. Make sure inputs cannot be<br />
driven by hard voltage.</p>
<p>17. Consider grounding any crystals used on the board<br />
to proper ground to reduce EMI.</p>
<h2>I/O Connectors</h2>
<p>1. External connections filtered for RFI and expected<br />
voltages. Use ferrite beads for VHF, 100 ohms and 1<br />
nF for RS232 and appropriate values for other lines<br />
or sensor inputs. No capacitors on amplifier outputs<br />
unless isolated by appropriate series impedances.</p>
<p>2. External I/O lines have a defined state when unplugged<br />
(pullup or pull down).</p>
<p>3. Make sure I/O devices can handle unknown outputs<br />
(usually inputs with weak pullup to high) until the<br />
reset is over.</p>
<p>4. Consider making all external digital inputs active<br />
low. Outputs may be either polarity but consider startup.</p>
<p>5. Consider connectors where ground made first and breaks<br />
last for hot pluggability. Phono plugs are an example.</p>
<h2>Digital Circuitry</h2>
<p>1. Check setup, hold, and access times for data and<br />
address bus.</p>
<p>2. Check capacitance and fan out limits for bus.</p>
<p>3. Check the data sheet and notes for unfamiliar ICs.<br />
Read the small print and also in between the lines.</p>
<p>4. Search for meta stable states such as a 2 gate latch<br />
which can be set and reset at the same time with an<br />
indeterminate result. Other causes are clocked circuits<br />
with runt clock pulses (too short or too low), or slow<br />
rise time clock pulses. The result may be loss of timing<br />
due to non logic levels, delayed state change or inappropriate<br />
states, causing system failure. &#8216;Slack&#8217; timing available<br />
on clock pulses is an issue in reducing the adverse<br />
effects.</p>
<p>5. Search for timing races where glitches can be generated.<br />
An example is where two signals on different inputs<br />
of a gate change at almost the same time (1 &#8211; 100 ns).<br />
The logic can generate brief glitches. An example is<br />
with decoders like 74HC138 which have several inputs<br />
changing close together and can generate a burst of<br />
glitches. Some will be &#8216;runt pulses&#8217;. These are best<br />
used in systems with a latch or gate to enable the output<br />
when the data has settled.</p>
<p>6. A reset circuit may be required to reset devices<br />
to an appropriate state at power up.</p>
<h2>Power Supplies</h2>
<p>1. Power supply filtering adequate, so input does not<br />
approach regulator dropout at lowest supply and full<br />
load ripple.</p>
<p>2. Rectifier diodes always add reverse recovery spikes<br />
that pass through regulators. These usually end up as<br />
10 mV noise pulses at line rate. Filter them with inductors,<br />
resistors and capacitors as required. Snubbers across<br />
diodes may help reduce radiation.</p>
<p>3. Use mains transformers with electrostatic shields<br />
for really low noise systems. Plugpacks will usually<br />
not suffice.</p>
<p>4. Power supply reservoir should be adequate, providing<br />
a holdup time at least 200 ms at full load and lowest<br />
supply.</p>
<p>5. Device supply decoupling adequate (especially CPU,<br />
memory devices). Consider adding series impedances for<br />
best decoupling.</p>
<p>6. Use power supply polarity reversal protection. This<br />
also ensures regulator cannot be destroyed by shorted<br />
input (battery leads).</p>
<p>7. Regulators have supply capacitors bigger than total<br />
load capacitance for protection against reverse bias.</p>
<p>8. Sufficient stabilizing capacitance on low dropout<br />
voltage regulator outputs.</p>
<p>9. Consider cascaded regulators can have high current<br />
states. Check them by slowly reducing the power below<br />
minimum system voltage (until the regulators drop out)<br />
while monitoring the current.</p>
<p>10. Solenoids and other inductive devices can generate<br />
destructive voltages. Absorption circuits may simply<br />
dump the spike on the power supply. The power supply<br />
may not absorb them if it is a lightly loaded series<br />
regulator. Even large batteries may not absorb the spike<br />
if it has enough energy. The inductive device needs<br />
snubbers and reverse clamps directly across it, not<br />
just across the switch device. The power supply may<br />
need to be appropriately clamped. Consider cars have<br />
up to 100 V spikes normally!</p>
<p>11. Check operating voltage range of overall system<br />
(low battery condition).</p>
<p>12. Consider fuses carefully, keeping in mind they protect<br />
from fires, and protect the supply, not the load.</p>
<p>13. Check any devices that power down are isolated from<br />
devices that remain powered up. Use open collector or<br />
tristate interface devices with hardware operated control<br />
line as appropriate.</p>
<p>14. Estimate total worst case power supply current,<br />
and check that circuit operation agrees.</p>
<h2>Discrete Components</h2>
<p>1. Voltage ratings and polarities of components checked.</p>
<p>2. Check polarized coupling capacitors cannot get reverse<br />
voltage. Eliminate polarized capacitors where possible.</p>
<p>3. Check if undervoltage and overvoltage protection<br />
is required.</p>
<p>4. Use over rated tantalum capacitors for longer life.</p>
<p>5. Amplifiers checked for stability.</p>
<p>6. Oscillators checked for reliable startup and within<br />
reset time of clocked systems like microprocessors.</p>
<p>7. Check heatsinking requirements for maximum power<br />
dissipation and worst-case operating temperatures.</p>
<p>8. Allow a wide safety margin for resistor power dissipation<br />
(&lt; 1/3 rating). They can easily melt solder or char<br />
boards.</p>
<p>9. Keep reverse base-emitter current/voltage on bipolar<br />
transistors low (use diode clamps).</p>
<p>10. Check for voltage transients and high voltages on<br />
FET gates. Clamp gates of FET circuits to keep within<br />
ratings. Check that FETs biased at non digital levels<br />
have &#8220;gate stoppers&#8221; to limit high frequency<br />
response and prevent parasitic oscillation.</p>
<p>11. Protect collectors/drains from fast risetime pulses<br />
that may cause inductance in leads and loads to generate<br />
damaging high voltage spikes.</p>
<p>12. Consider signal rate-of-rise and fall for noise<br />
radiation.</p>
<p>13. Separate analog signals from noisy or digital signals.</p>
<p>14. Surge current magnitude through semiconductors within<br />
rating.</p>
<h2>Reset and Supervisory</h2>
<p>1. Reset circuit designs must be reliable, both glitch-free<br />
and consistent; tested with fast and slow power supply<br />
rise and fall time. The capacitor type is inferior -<br />
consider comparator types, but test them carefully for<br />
low voltage behavior.</p>
<p>2. Check reset behavior when power supply cycles before<br />
the circuit is fully operational.</p>
<p>3. Consider watchdog timer testing, disabling and diagnostics.</p>
<p>4. Monitor power supply operation during shutdown and<br />
startup and supply on-off cycling.</p>
<h2>Printed circuit board (PCB)</h2>
<p><strong>General</strong></p>
<p>1. Copyright notice on PCB in copper.</p>
<p>2. Date code on PCB in copper.</p>
<p>3. PCB ID number and layer number on each layer in copper.</p>
<p>4. Drill legend &#8211; what sizes are used?</p>
<p>5. Netlist check &#8211; automatic and manual. Look for nets<br />
with single nodes or too many nodes.</p>
<p>6. Design rule check. A manual version can find problems<br />
missed by automatic checks.</p>
<p>7. Check for dead-end traces.</p>
<p>8. Ensure schematic software did / did not separate<br />
Vcc from Vdd, Vss from GND as needed.</p>
<p><strong>Sizing</strong></p>
<p>1. When determining board size go for a larger board<br />
within reason. This decreases time to layout or auto<br />
route, populate, debug and maintain. Small size is cute<br />
but not always needed.</p>
<p>2. Consider PCB manufacturing panel sizes when deciding<br />
on PCB sizes. (Minimize wastage of PCB&#8217;s per panel).</p>
<p>Holes on layout are probably finished sizes, after plating.</p>
<p>3. Finished hole sizes are &gt;=10 thou larger than<br />
the lead, or larger spec dictated by automatic insertion<br />
gear.</p>
<p>4. Pads &gt;=15 thou larger than finished hole sizes.</p>
<p>5. Place thru hole components on 50 thou grid.</p>
<p>6. All components &gt;= 0.2&#8243; from edge of PCB.</p>
<p>7. Silk screen legend text weight &gt;=10 thou.</p>
<p>8. Check layout rules with your pcb manufacturer.</p>
<p><strong>Mounting</strong></p>
<p>1. Are mounting holes electrically isolated or grounded?</p>
<p>2. Allow proper mounting hole clearance for hardware.<br />
Allow space around them for stand off mounts, washers,<br />
brackets.</p>
<p>3. All polarized components checked.</p>
<p>4. No acute inside angles in foil.</p>
<p>5. No traces within 20 thou of PCB edge.</p>
<p>6. Serial number blank on silk screen legend.</p>
<p>7. Thru hole drill tolerance noted.</p>
<p>8. Thru hole solder mask tolerance noted.</p>
<p>9. Thru hole route tolerance noted.</p>
<p>10. Thru hole silk screen legend tolerance noted.</p>
<p>11. Use ground planes where possible.</p>
<p><strong>Components</strong></p>
<p>1. Mounting holes matched 1:1 with mating parts.</p>
<p>2. All polarized components point same way.</p>
<p>3. Use but ensure there is minimum component body spacing.</p>
<p>4. Clearance for IC extraction tools.</p>
<p>5. Clearance for IC sockets (especially for during<br />
proto phase). Sufficient clearance for socketed ICs.</p>
<p>6. Sockets used on devices prone to damage (near I/O<br />
connectors).</p>
<p>7. CPU devices usually socketed to allow bus testing,<br />
emulator etc.</p>
<p>8. Visual references for automated assembly (future<br />
auto placement).</p>
<p>9. Tooling holes for automated assembly (future auto<br />
placement).</p>
<p>10. Tooling and mounting holes have internal plane clearance<br />
to avoid multilayer shorts. (Expect the software to<br />
look after this, but check it).</p>
<p>11. Ensure pin 1 interpretation and orientation consistent<br />
among all connectors of a given type on the board.</p>
<p>12. All ICs have pin one marking visible when chip is<br />
installed.</p>
<p>13. Standoffs on power resistors or other hot components.</p>
<p>14. Check power and ground connections to all ICs.</p>
<p>15. Check hole diameters for odd components: rectangular<br />
pins, spring pins.</p>
<p><strong>Tracks and EMI</strong></p>
<p>1. Trace width sufficient for current carried, consider<br />
trace heating especially on internal layers.</p>
<p>2. Thermal relief&#8217;s for internal power layers.</p>
<p>3. Clearance for high voltage traces.</p>
<p>4. Clearance and guards between noisy and quiet lines.<br />
Noisy ones to note are the capacitors on negative rail<br />
7661 chips, RS232 lines, digital lines and busses. Keep<br />
noisy lines short.</p>
<p>5. Bypass capacitors located close to IC power pins.<br />
Minimize loop areas of decoupling capacitors.</p>
<p>High frequency crystal cases should be flush to the<br />
PCB and grounded so they don&#8217;t become an antenna.</p>
<p>6. Check for traces running under noisy or sensitive<br />
components.</p>
<p>7. Use guard tracks round high impedance and low noise<br />
lines. Keep them short.</p>
<p>8. Component and trace keepout areas observed.</p>
<p>9. Digital and analog signal commons joined at only<br />
one point.</p>
<p>10. Place I/O devices near where their signals leave<br />
the board.</p>
<p>11. EMI and RFI filtering as close as possible to exit<br />
and entry points of shielded areas, I/O connectors.</p>
<p>12. Provide multiple vias for high current and/or low<br />
impedance traces.</p>
<p>13. Consider ground loops and voltage drops on tracks<br />
- ground ain&#8217;t ground.</p>
<p><strong>Testability</strong></p>
<p>1. Provide a ground test point, accessible and sized<br />
for scope ground clip.</p>
<p>2. Potentiometers should increase controlled quantity<br />
clockwise.</p>
<p>3. Check the orientation of all connectors using actual<br />
connector/cable.</p>
<p>4. Silkscreen text located to be readable when the board<br />
is populated.</p>
<p>5. No vias under metal-film resistors and similar poorly<br />
insulated parts.</p>
<p>6. Check for traces which may be susceptible to solder<br />
bridging.</p>
<h2>Assembly</h2>
<p>1. Assembly notes for all special operations such as<br />
glue, inductors, clamps, brackets.</p>
<p>2. Conformal coating, and masking for it.</p>
<p>3. Special static handling precautions required during<br />
assembly and test.</p>
<p>4. Wire size checked.</p>
<p>5. Cable ties or lacing cord shown where needed.</p>
<p>6. Color of wires.</p>
<p>7. Voltage drop at maximum current with specified wire<br />
for entire current path (eg. power and ground).</p>
<p>8. Cooling requirements addressed.</p>
<p>9. Control of flexing, vibration and shock.</p>
<h2>Software</h2>
<p>1. Use modular design.</p>
<p>2. Have a version number and change it every time the<br />
software is modified. Have a note at beginning of software<br />
explaining what has been done in this version.</p>
<p>3. Revision (version) history noted for all changes<br />
(at top of source code)</p>
<p>4. Loops checked for exit conditions.</p>
<p>5. Communications and other &#8216;wait&#8217; timeouts checked.</p>
<p>6. All branches tested.</p>
<p>7. Check for event showers, where one event causes other<br />
events (e.g. a resize in a resize can cause a paint<br />
and a resize, which causes more, until the stack is<br />
blown.</p>
<p>8. Check for event lockouts (code running in a loop<br />
prevents events being detected).</p>
<p>9. Check for interrupt showers (where one event causes<br />
multiple interrupts.</p>
<p>10. Check stack size with maximum pushdown.</p>
<p>11. Avoid using the stack for variables if relevant,<br />
due to the confusion in popping and pushing.</p>
<p>12. Use defined variables (&#8216;option explicit&#8217; in basic).</p>
<p>13. Avoid re-entrant code &#8211; it is too hard to debug<br />
and understand.</p>
<p>14. Check the scope of variables. Global variables and<br />
constants are defined in a special include file or module<br />
if possible. Others may have local scope within a subroutine<br />
or function or a module. In Visual Basic, variables<br />
defined in a form are private to that form. Global variables<br />
are defines in a module (.BAS) file, and can be read<br />
by forms too.</p>
<p>15. Check any need for static variables. An example<br />
is a &#8216;first-time&#8217; flag. Global variables are static,<br />
as they are stored in memory somewhere. Local variables<br />
are dynamic, as they are stored on the stack for the<br />
time the procedure is running only. They are temporary.</p>
<p>16. Event driven code, like interrupts, can be executed<br />
any time. If global variables are set by this code and<br />
used in other processes it is possible for meta stable<br />
states to exist. The variable may be changed by an event<br />
elsewhere while it is being processed. Protect against<br />
this by having copies, multiple reads compared to make<br />
the copy, or proper handshake flags. An example is a<br />
hardware real time clock. Copy the value and work with<br />
the saved value, rather than reading the RTC itself<br />
each step of a procedure.</p>
<p>17. Avoid multiple &#8216;IF&#8217; statements &#8211; they are confusing<br />
and hard to understand or test. Use case statements<br />
instead, where appropriate.</p>
<p>18. Each process (subroutine, function) should be small<br />
and simple to avoid misunderstanding. Consider more<br />
than 25 lines of statements as &#8216;suspicious&#8217;.</p>
<p>19. Follow the concepts of structured programming, avoiding<br />
&#8216;spaghetti&#8217; code that is difficult to understand.</p>
<p>20. Consider the differences between &#8216;for-next&#8217;, &#8216;while&#8217;,<br />
and &#8216;until&#8217;.</p>
<p>21. CPU utilization measured, especially in critical<br />
loops such as processing an ADC or signal processing<br />
where real time response is needed.</p>
<p>22. Interrupt response time measured.</p>
<p>23. Interrupt execution time measured.</p>
<p>24. Naming conventions consistent and meaningful.</p>
<p>25. Adherence to coding style standards &#8211; others or<br />
even you may have to debug it.</p>
<p>26. Build in debug aids for example a debug flag to<br />
allow test files to be run to emulate I/O.</p>
<p>27. Power-up, power-down considerations.</p>
<p>28. Unused interrupt vectors trapped.</p>
<p>29. Unused ROM space loaded with trap or restart instructions.</p>
<p>30. Warm and cold reset differences.</p>
<p>31. ROM default, user setting, stored (non volatile)<br />
user settings considered.</p>
<p>32. Nonvolatile memory corruption possibilities checked<br />
during power-up, power-down, and program-gone-wild conditions.</p>
<p>33. Adequate comments and design notes in code. Explain<br />
I/O, steps being taken in global terms, not in terms<br />
of &#8216;load R8&#8242;. Have a software manual or topic in the<br />
technical manual if additional notes required.</p>
<p>34. Check for FIFO and buffer overruns.</p>
<p>35. Check critical timer driver code, timer event driven<br />
processes.</p>
<p>36. Check for odd address usage on 16/32 bit micros,<br />
especially an odd stack pointer</p>
<p>37. Use a standard reminder flag and check for any flagged<br />
statements in software.</p>
<h2>Test and Maintenance</h2>
<p>1. Test points on PCBs for critical circuits, hard to<br />
reach nets.</p>
<p>2. Test pads on a regular grid for (future) in-circuit<br />
or bed-of-nails functional testing.</p>
<p>3. Test and calibration procedure written before production<br />
starts.</p>
<p>4. Special test arrangements and connectors for testing<br />
- provide schematic and describe in test procedure.</p>
<p>5. Easy disassembly and reassembly</p>
<p>6. Fuses accessible and labeled</p>
<p>7. Self test mode &#8211; software has built in procedures<br />
such as analogue and digital I/O commands to aid in<br />
diagnostics.</p>
<p>8. Spare parts available.</p>
<h2>Event logging of exceptional conditions.</h2>
<p>1. Thermal cycling excursions internal to components<br />
and assemblies within acceptable limits.</p>
<p>2. Capacitors mounted below or away from heat-dissipating<br />
devices such as transformers.</p>
<p>3. Consider test aids on board such as test signal source,<br />
switches, pushbuttons and status LEDs on PCB or elsewhere.</p>
<p>4. Provide test routines in software so commissioning<br />
is automated where possible. Examples are memory test,<br />
activity LED, watchdog test and disable, I/O tests.<br />
Others are battery backup, RTC, non-volatile memory,<br />
special test cycles.</p>
<p>5. Defaults for switches and settings that make the<br />
system work in some defined way.</p>
<p>6. Error messages to indicate what problems the software<br />
has found.</p>
<h2>Safety and Environment</h2>
<p>1. Remember electronic failures are due to bad environment.</p>
<p>2. EMC addressed, but in some cases special consideration<br />
required for emission or susceptibility &#8211; eg a data<br />
logger to work on the deck of a vessel must have RADAR<br />
protection.</p>
<p>3. Resistance and tolerance of entire unit to static<br />
discharge via any path</p>
<p>4. Vibration tolerance of entire assembly and individual<br />
modules</p>
<p>5.Protection against liquids and foreign objects</p>
<p>6. Clear safety warnings in manual and wherever hazards<br />
exist. Control these hazards.</p>
<p>7. Fuse and circuit breaker size and characteristics</p>
<p>8. Fuse sizes marked near fuse holder</p>
<p>9. Room to remove fuse without damaging other components<br />
- warning to remove power.</p>
<p>10. Spare fuse storage</p>
<p>11. Shock hazards</p>
<p>12. Radiated energy warnings and shields</p>
<p>13. Applicable standards checked</p>
<h2>Documentation</h2>
<p>This topic was developed for equipment intended for<br />
in house use, not for sale to others. A system being<br />
marketed would need further steps for EMC and other<br />
compliance, contact info, parts lists, warranty and<br />
so on.</p>
<p>On developers workstations, use readily located directories<br />
for software, user manuals and other documentation.<br />
They should be project oriented.</p>
<p>Use a paper file folder during project development phase.<br />
There is still some stuff that isn&#8217;t on a computer.</p>
<p>Use the internal website for final project information<br />
stored in systems knowledge base. This allows users<br />
and Engineering staff to download their own manuals<br />
and other information. Have a separate area for each<br />
project. Use html files designed so relevant parts (e.g.<br />
manuals, checklists) can be printed.</p>
<p>User Manual: how to use, specification, field problem<br />
solving, operational checklists, tips and procedures.</p>
<p>Service manual: commissioning, calibration and test procedures,<br />
design notes as appropriate.</p>
<p>Calibration sheet template in word processor format.<br />
Used to enter test results.</p>
<p>Test and calibration results for QA documentation, accessed<br />
from project area of web site or stored as paper file<br />
and referenced from website.</p>
<p>Information that may be lost if individuals depart the<br />
organization &#8211; both computer and physical paper files<br />
properly archived (CDROM).</p>
<p>Software source code archived (CDROM), with zipped executable&#8217;s<br />
or other target files linked from internal web site<br />
(software area). This allows users to download and install<br />
their own software.</p>
<p>Correct all errors found in schematics, layouts and<br />
manuals.</p>
<h2>Functionality</h2>
<p>Get others to test the device, especially the end user.</p>
<p>Compare the original purpose and project definition<br />
with the end results.</p>
<p>Test that the specification is met, especially key<br />
items like accuracy, deployment, speed, operational<br />
resources (battery and memory reserves).</p>
<p>Make sure users understand special needs and instructions,<br />
and have been advised about hazards, where to get help,<br />
manuals etc.</p>
<p>Ensure that default conditions and configurations are<br />
such that a system will work immediately the user turns<br />
it on, or at least explain what to do next.</p>
<p>Ask users if they are satisfied.</p>
]]></content:encoded>
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		<title>Texas Instruments (Unitrode) Switching power supply design.</title>
		<link>http://www.circuits.dk/texas-instruments-unitrodeswitching-power-supply-design/</link>
		<comments>http://www.circuits.dk/texas-instruments-unitrodeswitching-power-supply-design/#comments</comments>
		<pubDate>Thu, 12 Apr 2012 22:17:31 +0000</pubDate>
		<dc:creator>Terje</dc:creator>
				<category><![CDATA[Resources]]></category>
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		<description><![CDATA[Texas Instruments (formerly Unitrode) seminars are part of TI analog technical training during which they also update on their new controllers and other power management integrated circuits. They combine tutorial review of basic principles and &#8220;hands-on&#8221; design examples on various power conversion topics. Over time they have covered virtually all important switching power supply design topics <a href='http://www.circuits.dk/texas-instruments-unitrodeswitching-power-supply-design/' class='excerpt-more'>[Read more]</a>]]></description>
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<p>Texas Instruments (formerly Unitrode) seminars are part of TI analog technical training during which they also update on their new controllers and other power management integrated circuits. They combine tutorial review of basic principles and &#8220;hands-on&#8221; design examples on various power conversion topics. Over time they have covered virtually all important switching power supply design topics and their archives provide excellent reference info for the SMPS designers. Here you will find seminar books from 1984 till present.</p>
<h2><strong>SEM300 (1984)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup067/slup067.pdf" target="_blank">Switching Power Supply Topology Review</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup068/slup068.pdf" target="_blank">Closing the Feedback Loop</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup069/slup069.pdf" target="_blank">Appendix A: Error Amplifier and Compensation Network Design</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup070/slup070.pdf" target="_blank">Appendix B: Bode Plots</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup071/slup071.pdf" target="_blank">Appendix C: Flyback-Discontinuous Inductor Current-Direct Duty Cycle Cont.</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup072/slup072.pdf" target="_blank">Switching Power Supply Design Review &#8212; 60 Watt Flyback Regulator</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup073/slup073.pdf" target="_blank">Appendix I: Transformer Design</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup074/slup074.pdf" target="_blank">Appendix II: Effective RL and C in the Feedback Loop</a></p>
<h2><strong>SEM400 (1985)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup075/slup075.pdf" target="_top">Current-Mode Control of Switching Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup076/slup076.pdf" target="_blank">Design of Flyback Transformers and Filter Inductors</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup077/slup077.pdf" target="_blank">Simulation of Switching Power Supply Performance Using the Personal Computer</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup078/slup078.pdf" target="_blank">Design Review: 150 Watt Current-Mode Flyback</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup079/slup079.pdf" target="_blank">Power Conversion Design Guide</a></p>
<h2><strong>SEM500 (1986)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup080/slup080.pdf" target="_blank">Practical Considerations in Current Mode Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup081/slup081.pdf" target="_blank">The Effects of Leakage Inductance on Multi-Output Flyback Circuits</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup082a/slup082a.pdf" target="_blank">Coupled Filter Inductors in Multi-Output Buck Regulators</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup083/slup083.pdf" target="_blank">A 300W, 300KHz Current-Mode Half-Bridge Converter with Multiple Outputs</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup084/slup084.pdf" target="_top">The Right-Half-Plane Zero &#8212; A Simplified Explanation</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup129/slup129.pdf" target="_blank">Magnetic Amplifier Control for Simple, Low-Cost, Secondary Regulation</a></p>
<h2><strong>SEM600 (1988)</strong></h2>
<p><a href="http://www-s.ti.com/sc/techlit/slup085.pdf" target="_blank">Resonant Mode Converter Topologies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup086/slup086.pdf" target="_blank">1 MHz 150W Resonant Converter Design Review</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup087/slup087.pdf" target="_blank">High Power Factor Preregulator for Off-Line Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup088/slup088.pdf" target="_blank">Placing Leakage and Wiring Inductances in the High Frequency Circuit Model</a></p>
<h2><strong>SEM700 (1990)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup089/slup089.pdf" target="_blank">Zero Voltage Switching Resonant Power Conversion</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup090/slup090.pdf" target="_blank">Isolating the Control Loop</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup091/slup091.pdf" target="_blank">Average Current Mode Control of Switching Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup092/slup092.pdf" target="_blank">Resonant Mode Converter Topologies &#8212; Additional Topics</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup093/slup093.pdf" target="_blank">Optimizing the Design of a High Power Factor Switching Preregulator</a></p>
<h2><strong>SEM800 (1991)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup094/slup094.pdf" target="_top">Load Sharing with Paralleled Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup095/slup095.pdf" target="_blank">Controlled ON-Time, Zero Current Switched Power Factor Correction Technique</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup096/slup096.pdf" target="_blank">Fixed-Frequency, Resonant-Switched PWM w/ Phase Shifted Control</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup097/slup097.pdf" target="_blank">Considerations in High Performance MOSFET, IGBT, and MCT Gate Drive Ckts.</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup098/slup098.pdf" target="_blank">Control Loop Design</a></p>
<h2><strong>SEM900 (1993)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup099/slup099.pdf" target="_blank">Distributed Power Systems</a></p>
<p><a href="http://focus.ti.com/lit/an/slup100/slup100.pdf" target="_blank">Snubber Circuits: Theory, Design and Application</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup101/slup101.pdf" target="_blank">Designing a Phase Shifted Zero Voltage Transition Power Converter</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup102/slup102.pdf" target="_blank">Design Review: 500 Watt, 40W/in3 Phase Shifted ZVT Power Converter</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup103/slup103.pdf" target="_blank">High Power Factor Preregulator Using the SEPIC Converter</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup104/slup104.pdf" target="_blank">Control Loop Design SEPIC Preregulator Example</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup105/slup105.pdf" target="_blank">Coupled Inductor Design</a></p>
<h2><strong>SEM1000 (1994)</strong></h2>
<p><a href="http://www-s.ti.com/sc/techlit/slup106.pdf" target="_blank">250KHz, 500W Pwr Factor Correction Ckt. Employing Zero Voltage Transitions</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup107/slup107.pdf" target="_blank">Portable Power &#8212; A Designer&#8217;s Guide to Power Management</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup108/slup108.pdf" target="_blank">Active Clamp and Reset Technique Enhances Forward Converter Performance</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup109/slup109.pdf" target="_blank">An Electrical Circuit Model for Magnetic Cores</a></p>
<h2><strong>SEM1100 (1996)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup110/slup110.pdf" target="_blank">Fueling the Megaprocessors &#8211; Empowering Dynamic Energy Management</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup111/slup111.pdf" target="_top">100W, 400kHz, DC/DC Conv. w/ I Doubler Sync. Rectification Achieves 92%</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup112/slup112.pdf" target="_blank">Design Considerations for Active Clamp and Reset Technique</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup113a/slup113a.pdf" target="_blank">Control Loop Cookbook</a></p>
<h2><strong>SEM1200 (1997)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup114/slup114.pdf" target="_blank">Current Sensing Solutions for Power Supply Designers</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup115/slup115.pdf" target="_blank">A Low Power Boost Converter for Battery Powered Portable Applications</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup116/slup116.pdf" target="_blank">A Unique Four Quadrant Flyback Converter</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup117/slup117.pdf" target="_blank">Design Review: 140W, Multiple Output, Very High Density DC/DC Converter</a></p>
<h2><strong>SEM1300 (2000)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup118/slup118.pdf" target="_blank">Cascaded Power Converter Topology for High Current Low Output Voltage App.</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup119/slup119.pdf" target="_blank">Hot Swap Power Management</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup119/slup119.pdf">50W Forward Converter w/ Sync. Rectification and Secondary Side<br />
Control</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup121/slup121.pdf" target="_blank">Frequency Response Measurements for Switching Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup122/slup122.pdf" target="_top">A More Accurate Current-Mode Control Model</a></p>
<h2><strong>SEM1400 (2001)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup168/slup168.pdf" target="_blank">An Analytical Comparision of Alternate Control Techniques</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup169/slup169.pdf" target="_blank">Design and Application Guide for High Speed MOSFET Gate Drive Circuits</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup170/slup170.pdf" target="_blank">Appendix A: Estimating MOSFET Parameters from the Data Sheet</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup171/slup171.pdf" target="_blank">Magnetic Field Evaluation in Transformers and Inductors</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup172/slup172.pdf" target="_blank">High-Efficiency, Regulated Charge Pumps for High-Current Applications</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup173/slup173.pdf" target="_blank">Designing Stable Control Loops</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup174/slup174.pdf" target="_blank">Internal Compensation &#8211; Boon or Bane</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup175/slup175.pdf" target="_blank">Implication of Sync. Rectifiers in Isolated, Single-Ended, Forward Conv.</a></p>
<h2><strong>SEM1500 (2003)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup204/slup204.pdf" target="_blank">Topic 1: Understanding &amp; Optimizing Electromagnetic Compatibility in&#8230;</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup203/slup203.pdf" target="_blank">Topic 2: Designing High-Power Factor Off-Line Power Supplies</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup204/slup204.pdf" target="_blank">Topic 3: Achieving High-Efficiency w/Multi-Output CCM Flyback Supply&#8230;</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup205/slup205.pdf" target="_blank">Topic 4: Transformer &amp; Inductor Design for Optimum Circuit Performance</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup206/slup206.pdf" target="_blank">Topic 5: Under the Hood of Low-Voltage DC/DC Converters</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup207/slup207.pdf" target="_blank">Topic 6: Paralleling Power&#8211;Choosing &amp; Applying the Best Technique for&#8230;</a></p>
<h2><strong>SEM1600 (2004)</strong></h2>
<p><a href="http://focus.ti.com/lit/ml/slup227/slup227.pdf" target="_blank">Topic 1: Safety Considerations in Power Supply Design</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup228/slup228.pdf" target="_blank">Topic 2: Sequencing Power Supplies in Multiple Voltage Rail Environments</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup229/slup229.pdf" target="_blank">Topic 3: Design Review: A Step-by-Step Approach to AC Line-Powered Converters</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup230/slup230.pdf" target="_blank">Topic 4: Constructing Your Power Supply – Layout Considerations</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup231/slup231.pdf" target="_blank">Topic 5: Interleaving Contributes Unique Benefits to Forward &amp; Flyback Converter</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup232/slup232.pdf" target="_blank">Topic 6: A Practical Introduction to Digital Power Supply Control</a></p>
<p><a href="http://focus.ti.com/lit/ml/slup233/slup233.pdf" target="_blank">Topic 7: Compensating DC/DC Converters with Ceramic Output Capacitors</a></p>
<h2><strong>SEM1700 (2006/07)</strong></h2>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic1BM.pdf" target="_blank">TOPIC 1: Improving Power Supply Efficiency – The Global Perspective</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic2MM.pdf" target="_blank">TOPIC 2: Green-Mode Power by the Milli-Watt</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic3BL.pdf" target="_blank">TOPIC 3: Feedback in the Fast Lane–Modeling Current-Mode Control in High-Frequency</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic4LD.pdf" target="_blank">TOPIC 4: Designing Planar Magnetics</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic5MO.pdf" target="_blank">TOPIC 5: An Interleaved PFC Preregulator for High-Power Converters</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic6DF.pdf" target="_blank">TOPIC 6: Software Design for Digital Power – Programming 101 for Analog Design</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic7MH.pdf" target="_blank">TOPIC 7: Designing a Digital Telecom Rectifier</a></p>
<h2><strong>SEM1800 (2008/09)</strong></h2>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_1_Cohen_Lu.pdf" target="_blank">Topic 1 &#8211; High Power Factor and High Efficiency&#8230;You Can Have Both</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_2_Rice_Gehrke_Segal.pdf" target="_blank">Topic 2 &#8211; Understanding Noise-Spreading Techniques and their Effects</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_3_Lynch.pdf" target="_blank">Topic 3 &#8211; Under the Hood of a DC/DC Boost Converter</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_4_Rais.pdf" target="_blank">Topic 4 &#8211; Improving System Efficiency with a New Interm.-Bus Architecture</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_5_Picard.pdf" target="_blank">Topic 5 &#8211; High-Voltage Energy Storage: The Key to Efficient Holdup</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_6_Hesse.pdf" target="_blank">Topic 6 &#8211; Using PMBus™ for Improved System-Level Power Management</a></p>
<p><a href="http://focus.ti.com/download/trng/docs/seminar/Topic_7_Hagen.pdf" target="_blank">Topic 7 &#8211; Applying Digital Technology to PWM Control-Loop Designs</a></p>
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