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<channel>
	<title>PitelSPOT &#187; Power Electronics</title>
	<atom:link href="http://pitelspot.com/category/power-electronics/feed" rel="self" type="application/rss+xml" />
	<link>http://pitelspot.com</link>
	<description>Make your mark.</description>
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			<item>
		<title>Visio Shapes and Engineering Template for Electrical Circuits</title>
		<link>http://pitelspot.com/2009/06/18/visio-shapes-and-engineering-template-for-electrical-circuits</link>
		<comments>http://pitelspot.com/2009/06/18/visio-shapes-and-engineering-template-for-electrical-circuits#comments</comments>
		<pubDate>Thu, 18 Jun 2009 05:27:26 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Circuits]]></category>
		<category><![CDATA[Electrical]]></category>
		<category><![CDATA[Electronics]]></category>
		<category><![CDATA[Engineering]]></category>
		<category><![CDATA[Free]]></category>
		<category><![CDATA[IEEE]]></category>
		<category><![CDATA[Shapes]]></category>
		<category><![CDATA[Template]]></category>
		<category><![CDATA[Visio]]></category>

		<guid isPermaLink="false">http://pitelspot.com/?p=700</guid>
		<description><![CDATA[If you have ever used the the Electrical  Engineer Library included with Visio, you will quickly learn just how crappy it is. Symbols do not align to the grid, they contain long connectors, and the ...]]></description>
			<content:encoded><![CDATA[<p>If you have ever used the the Electrical  Engineer Library included with Visio, you will quickly learn just how crappy it is. Symbols do not align to the grid, they contain long connectors, and the shapes are just plain unprofessional.  I believe the example image shown in Fig. 1 clearly explains my point. The circuit library I have been slowly building as a result could be useful to ECE students and practicing engineers.  If you are a student and your department is part of the <a href="http://msdn.microsoft.com/">Microsoft Development Network</a> (MSDN), which most are, you can get Visio for free.</p>
<p><a href="http://pitelspot.com/wp-content/uploads/2009/06/visiosucks.jpg"><img class="size-full wp-image-704 alignnone" title="visiosucks" src="http://pitelspot.com/wp-content/uploads/2009/06/visiosucks.jpg" alt="visiosucks" width="327" height="261" /></a></p>
<p>Fig.1 Why Visio Library Sucks</p>
<p>The advantages of the PitelSPOT Electrical Shape Library and the PitelSPOT Engineering Template are:</p>
<ul>
<li>Symbols align to a 0.1&#8243;  grid. This grid work great for those small double column articles required in IEEE journals and conference papers.</li>
<li>The Engineering Template will setup the grids and snaps  for you. To use, go to <em>File</em>=&gt; <em>New</em>=&gt; <em>New Drawing from Template</em>=&gt; then select <em>PitelSPOTEngineeringTemplate.vst</em>.</li>
<li>Symbols are minimal. Use the connector tool to join shapes.</li>
</ul>
<p>The presently supported shapes are shown in Fig. 2.</p>
<p><a href="http://pitelspot.com/wp-content/uploads/2009/06/electricalsymbolsthumb1.jpg"><img class="size-full wp-image-703 alignnone" title="electricalsymbolsthumb1" src="http://pitelspot.com/wp-content/uploads/2009/06/electricalsymbolsthumb1.jpg" alt="electricalsymbolsthumb1" width="493" height="240" /></a></p>
<p>Fig. 2. List of Included Electrical Symbols</p>
<p><strong>Version History</strong></p>
<p><strong></strong></p>
<p><strong></strong></p>
<ul>
<li><span style="font-weight: normal;">06-17-09: FREE DOWNLOAD: <a href="http://pitelspot.com/wp-content/uploads/2009/06/pitelspotengineeringtemplate.vst">PitelSPOT Engineering Template for Visio Version 1.0</a></span></li>
<li><span style="font-weight: normal;">06-17-09: FREE DOWNLOAD: <a href="http://pitelspot.com/wp-content/uploads/2009/06/pitelspotelectricalsymbols.vss">PitelSPOT Electrical  Shapes for Visio Version 1.0</a></span></li>
</ul>
<p>The dowloads listed are for free. If  there is a symbol missing, make your request in the comments below. Bribes/gratitude in the form of donations are welcomed via the Paypal link below.</p>
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		<item>
		<title>Rapid Digital Design</title>
		<link>http://pitelspot.com/2009/06/05/rapid-digital-design</link>
		<comments>http://pitelspot.com/2009/06/05/rapid-digital-design#comments</comments>
		<pubDate>Sat, 06 Jun 2009 00:43:13 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Main]]></category>
		<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Technology]]></category>

		<guid isPermaLink="false">http://pitelspot.com/?p=572</guid>
		<description><![CDATA[This article covers chapter 5 of my dissertation.
    - Single-Phase Grid Connected Control
    &#8211; Direct Digital Synthesis
    - All Digital Phase-Lock Loop
    - Software and Hardware in the Loop Experiments
    &#8211; Rapid Control Prototypes and System Products
 G. Pitel, “Fast ...]]></description>
			<content:encoded><![CDATA[<p>This article covers chapter 5 of my dissertation.</p>
<p>    - Single-Phase Grid Connected Control<br />
    &#8211; Direct Digital Synthesis<br />
    - All Digital Phase-Lock Loop<br />
    - Software and Hardware in the Loop Experiments<br />
    &#8211; Rapid Control Prototypes and System Products</p>
<p><a href="http://pitelspot.com/wp-content/uploads/2009/04/published_ch5_sm.pdf"><img class="size-full wp-image-565 alignleft" title="pdf_icon" src="http://pitelspot.com/wp-content/uploads/2009/04/pdf_icon.gif" alt="pdf_icon" width="50" height="50" /></a> <em><span style="text-decoration: underline;"><span style="font-family: Times New Roman; color: #0000ff; font-size: small;"><a href="http://pitelspot.com/wp-content/uploads/2009/04/published_ch5_sm.pdf">G. Pitel, “Fast power converters and rapid digital design,” UILU-ENG-2008-2509, CEME-TR-2008-02, December 2008, pp. 92-109.</a></span></span></em></p>
<p>  </p>
<p><img class="alignleft size-medium wp-image-574" title="MATLAB GUIDE GUI RDTX" src="http://pitelspot.com/wp-content/uploads/2009/04/gui-300x259.jpg" alt="MATLAB GUIDE GUI RDTX" width="187" height="170" /></p>
<p><img class="aligncenter size-medium wp-image-575" title="tool-chain" src="http://pitelspot.com/wp-content/uploads/2009/04/tool-chain-300x182.jpg" alt="tool-chain" width="317" height="192" /></p>
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		</item>
		<item>
		<title>Introduction &amp; Power Electronics Modeling</title>
		<link>http://pitelspot.com/2009/05/12/power-electronics-modeling</link>
		<comments>http://pitelspot.com/2009/05/12/power-electronics-modeling#comments</comments>
		<pubDate>Wed, 13 May 2009 01:05:40 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Main]]></category>
		<category><![CDATA[Personal]]></category>
		<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Technology]]></category>

		<guid isPermaLink="false">http://pitelspot.com/?p=556</guid>
		<description><![CDATA[Good news, my transactions was accepted&#8211;which means I can start letting dissertation chapters  trickle out into Internet land. Enjoy.
This article covers chapters 1 and 2 of my disstertation. These chapters cover:
- Dissertation Introduction
- Voltage Source ...]]></description>
			<content:encoded><![CDATA[<p>Good news, my transactions was accepted&#8211;which means I can start letting dissertation chapters  trickle out into Internet land. Enjoy.</p>
<p>This article covers chapters 1 and 2 of my disstertation. These chapters cover:</p>
<p>- Dissertation Introduction<br />
- Voltage Source Buck Converter Modeling<br />
- Boost Converter Modeling<br />
- Voltage Source Inverter Modeling</p>
<p style="TEXT-ALIGN: left"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="FONT-STYLE: italic"><a href="http://pitelspot.com/wp-content/uploads/2009/04/published_ch1_sm.pdf"><img class="alignleft size-full wp-image-565" title="pdf_icon" src="http://pitelspot.com/wp-content/uploads/2009/04/pdf_icon.gif" alt="pdf_icon" width="50" height="50" />G. Pitel, “Fast power converters and rapid digital design,” UILU-ENG-2008-2509, CEME-TR-2008-02, December 2008, pp. 1-14.</a></span></span></span></p>
<p style="TEXT-ALIGN: left">
<p style="TEXT-ALIGN: left"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><a href="http://pitelspot.com/wp-content/uploads/2009/04/inductor-current-waveform.jpg"><img class="alignleft size-medium wp-image-562" title="inductor-current-waveform" src="http://pitelspot.com/wp-content/uploads/2009/04/inductor-current-waveform-300x116.jpg" alt="inductor-current-waveform" width="256" height="108" /></a></span></span></p>
<p><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><a href="http://pitelspot.com/wp-content/uploads/2009/04/vsi-model.jpg"><img class="alignleft size-medium wp-image-558" title="vsi-model" src="http://pitelspot.com/wp-content/uploads/2009/04/vsi-model-300x175.jpg" alt="vsi-model" width="260" height="157" /></a></span></p>
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		<item>
		<title>PitelSPOT&#8217;s New Home&#8211;Skynet</title>
		<link>http://pitelspot.com/2009/01/23/pitelspots-new-home-skynet</link>
		<comments>http://pitelspot.com/2009/01/23/pitelspots-new-home-skynet#comments</comments>
		<pubDate>Sat, 24 Jan 2009 01:11:01 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Main]]></category>
		<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Software]]></category>
		<category><![CDATA[Technology]]></category>

		<guid isPermaLink="false">http://pitelspot.com/?p=424</guid>
		<description><![CDATA[ In an effort to make my life easier I decided to put PitelSPOT on its own dedicated server. In the past, all my web applications were run from my workstation, which has obvious disadvantages. ...]]></description>
			<content:encoded><![CDATA[<p> In an effort to make my life easier I decided to put PitelSPOT on its own dedicated server. In the past, all my web applications were run from my workstation, which has obvious disadvantages. I appologize to all those cutoff mid-article because I was doing some routine MATLAB/Vista reboot.  I wanted to share the hardware specifications, server features, and installed web applications.</p>
<p><strong>Hardware<br />
</strong>Intel Core i7 2.66 GHz, 130W, Quad-Core with hyperthreading (8 core equivalent)<br />
6 GB of DDR3 memory<br />
two 1 TB  Hitachi hard drives<br />
250 GB Seagate Barracuda hard drive<br />
ASUS P6T Motherboard (16-phase VRM&#8230; covered in my <a href="http://pitelspot.com/index.php/2009/01/01/fast-power-converters-and-rapid-digital-design">dissertation</a>)<br />
rackmount case with 5 hot-swappable drive bays</p>
<p><strong>Server Features</strong><br />
<em>Shadow Copies</em> &#8211; Every modification done to a file is backed up seamlessly. Can restore any intance of the file<br />
<em>Image Restoration</em> &#8211; Recover entire OS and installed programs according to bi-weekly intervals<br />
<em>Off -Site Storage</em> &#8211; Copy files to external hard drive and store offsite (when I remember).<br />
<em>RemoteApp </em>- Load applications remotely within their own window. All application processing is performed on the server.<br />
<em>Consolidated Storage </em>- All of Sheryl&#8217;s and my documents are stored in the same spot, regardless of which computer we use.<br />
<em>Virtual Machine Server</em> - Emulate an entire computer in software</p>
<p><strong>Web Applications<br />
</strong>Wordpress Version 2.7<br />
Gallery 2.3<br />
Deki-Wiki Virtual Appliance<br />
FTP Site</p>
<div class="wpg2tag-image"><a href="http://pitelspot.com/wpg2?g2_itemId=23646" title="16-Phase VRM"><img src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=23648&amp;g2_serialNumber=2" width="150" height="113" id="IFid5" class="ImageFrame_None" alt="16-Phase VRM"/></a></div>
<div class="wpg2tag-image"><a href="http://pitelspot.com/wpg2?g2_itemId=23641" title="ASUS P6T Motherboard"><img src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=23643&amp;g2_serialNumber=2" width="150" height="113" id="IFid6" class="ImageFrame_None" alt="ASUS P6T Motherboard"/></a></div>
<div class="wpg2tag-image"><a href="http://pitelspot.com/wpg2?g2_itemId=23649" title="DSCF7048.JPG"><img src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=23651&amp;g2_serialNumber=2" width="150" height="113" id="IFid7" class="ImageFrame_None" alt="DSCF7048.JPG"/></a></div>
<div class="wpg2tag-image"><a href="http://pitelspot.com/wpg2?g2_itemId=23655" title="DSCF7051.JPG"><img src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=23657&amp;g2_serialNumber=2" width="150" height="113" id="IFid8" class="ImageFrame_None" alt="DSCF7051.JPG"/></a></div>
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		<item>
		<title>Fast Power Converters and Rapid Digital Design</title>
		<link>http://pitelspot.com/2009/01/01/fast-power-converters-and-rapid-digital-design</link>
		<comments>http://pitelspot.com/2009/01/01/fast-power-converters-and-rapid-digital-design#comments</comments>
		<pubDate>Thu, 01 Jan 2009 22:16:26 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Main]]></category>
		<category><![CDATA[Personal]]></category>
		<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Technology]]></category>

		<guid isPermaLink="false">http://pitelspot.com/index.php/2009/01/01/fast-power-converters-and-rapid-digital-design/</guid>
		<description><![CDATA[I decided to post my University of Illinois doctorate dissertation. If you have questions, please leave a comment below so we can have open discussions. This dissertation applies large-signal and time-domain models along with digital ...]]></description>
			<content:encoded><![CDATA[<p><span class="file-link image"><img title="Grant Solar Panels" src="http://pitelspot.com/wp-content/uploads/2009/01/p1010074.thumbnail.JPG" alt="Grant Solar Panels" align="left" /></span>I decided to post my University of Illinois doctorate dissertation. If you have questions, please leave a comment below so we can have open discussions. This dissertation applies large-signal and time-domain models along with digital control to achieve fast control performance and to quickly test/design multi-block power controllers.<br />
Fast controls are needed for motherboard level power supplies, called voltage-regulator modules (VRM), where CPU power specifications grow more stringent. Multi-block controls help interconnected power systems track numerous control objectives, such as those found in grid-interactive power electronics. The models used in the dissertation were derived using MathCAD, simulations in Simulink, and hardware experiments on a TI TMS320F2812 DSP. The main chapters are summarized below.</p>
<ul>
<li>Chapter 2: Piecewise linear, bilinear, and steady-state power converter models.</li>
<li>Chapter 3.4: Minimum-time control / nonlinear-model predictive control.</li>
<li>Chapter 3.5: Parameter system identification using recursive-least squares algorithm.</li>
<li>Chapter 4: Programmable dc-dc converter system performance using active low/high-side damper resistors.</li>
<li>Chapter 5: In depth study of  model-based techniques using a grid-interactive inverter.</li>
</ul>
<div>I would like to thank National Science Foundation (NSF ECS 06-21643) and the Grainger Center for supporting the work. Also I would like to thank my adviser Prof. Krein and the members on my committee whose guidance was greatly appreciated.<span class="Apple-style-span" style="font-family: TimesNewRomanPSMT; font-style: italic"> <span class="Apple-style-span" style="font-family: 'Times New Roman'; font-style: normal">If you decide to reference this work, please use the official reference,<span class="Apple-style-span" style="font-family: TimesNewRomanPSMT"> <span class="Apple-style-span" style="font-style: italic">G. Pitel, “Fast power converters and rapid digital design,” UILU-ENG-2008-2509, CEME-TR-2008-02, December 2008.</span></span></span></span></div>
<div><a title="Chapter on system identification" href="http://pitelspot.com/wp-content/uploads/2009/01/systemid.pdf">Download Link</a>&#8211;The full document is coming January/February.</div>
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		<item>
		<title>How to Make Neighborhood Electric Vehicles Legal in Your Town</title>
		<link>http://pitelspot.com/2008/08/19/how-to-make-neighborhood-electric-vehicles-legal-in-your-town</link>
		<comments>http://pitelspot.com/2008/08/19/how-to-make-neighborhood-electric-vehicles-legal-in-your-town#comments</comments>
		<pubDate>Tue, 19 Aug 2008 05:11:26 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Guides]]></category>
		<category><![CDATA[Main]]></category>
		<category><![CDATA[Power Electronics]]></category>

		<guid isPermaLink="false">http://pitelspot.com/index.php/2008/08/19/how-to-make-neighborhood-electric-vehicles-legal-in-your-town/</guid>
		<description><![CDATA[Somehow, my wife and I managed to share a car for the past five years. This arrangment worked because we live in a small town, both work at the University, and are attached at the ...]]></description>
			<content:encoded><![CDATA[<p><img class="alignleft size-medium wp-image-440" title="1914 Detroit Electric" src="http://pitelspot.com/wp-content/uploads/2008/08/wed13fav081-300x193.jpg" alt="1914 Detroit Electric" width="300" height="193" />Somehow, my wife and I managed to share a car for the past five years. This arrangment worked because we live in a small town, both work at the University, and are attached at the hip. However, I am about to graduate and will need a car to commute. My wife still has about a year before she finishes. It is hard to justfiy getting a second car for her short trip to work. I was ecstatic when she agreed to ride a <a href="http://en.wikipedia.org/wiki/Neighborhood_electric_vehicle">neighborhood electric vehicle</a> (NEV) into work, provided it met certain cosmetic criteria. My wife is a really good sport when it comes to my unusual habits. She has no shame tailing behind on my Go-Ped electric scooter while I bicycle into work. Her response to this new brainstorm should come at no surpise. The NEV fits her transportation needs perfectly, is inexpensive, low maintenance, and fuel-free. The rules on NEVs are governed by the city you live in. I was extremely disappointed to find the Cities of Champaign and Urbana do not allow them outside of the University of Illinois district.</p>
<p>I have contacted some city council members in hopes of bringing these enviroment- and energy-friendly vehicles to public streets. Below I am documenting the steps we have gone through so far, and will update it as new events occur. I encourage you contact your city council members to support NEVs in your town. This gesture is just a small step in ending our dependence on foreign oil. Thank you and I hope you find the items below useful.</p>
<p><strong>NEV JOURNAL</strong></p>
<ul>
<li>
<div><em>(08-12-08)</em> Sheryl called our insurance agent to see if they would insure an NEV. They confirmed that they insure NEVs but at a higher rate than cars due to their lack of safty features and limited availability of replacement parts.</div>
</li>
<li>
<div><em>(08-15-08) </em>I contacted <a href="http://www.ci.champaign.il.us/government/index.php">Champaign City Council</a>, whose ordinances define where NEVs are allowed. The e-mail addresses and photos listed on the city council website suggested the members were very appoachable, and I found this to be true. Champaign also has an extensive database that lets users search previous minutes and agendas&#8211;an excellent resource for finding existing NEV ordinances.</div>
</li>
<li>
<div><em>(08-18-08) </em>I recieved a reply from a member of the city council saying he was adding NEVs to the agenda. He stated that he personally supports allowing NEVs on public streets but expects opposition for their use outside the University District, and recommends that I e-mail the other council members.<em><br />
</em></div>
</li>
<li>
<div>(08-22-08) City council study session schedule approved for next week.</div>
</li>
<li><em>(09-08-08) </em>City council is discussing expansion on 09-09-08.</li>
<li><em>(09-09-08) </em>City council passed in favor of Neighborhood Electric vehicles eight to one. <em>Stay tuned. </em>Read the <a title="Meeting Summary" href="http://pitelspot.com/wp-content/uploads/2008/12/ss_202008-062.pdf">meeting summary</a> (taken from the <a href="http://www.ci.champaign.il.us/">City of Champaign website</a>).</li>
</ul>
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		<title>Go-Ped Range Modification</title>
		<link>http://pitelspot.com/2007/12/02/goped-range-modification</link>
		<comments>http://pitelspot.com/2007/12/02/goped-range-modification#comments</comments>
		<pubDate>Sun, 02 Dec 2007 04:20:30 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Guides]]></category>
		<category><![CDATA[Main]]></category>
		<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Technology]]></category>

		<guid isPermaLink="false">http://pitelspot.com/index.php/2007/12/02/goped-range-modification/</guid>
		<description><![CDATA[Battery Selection
Battery life is often measured by cycle life, the number of full charge/discharge cycles before the battery reaches 80% of its original capacity. Keeping the discharge current relative to the battery&#8217;s amp×hour capacity low ...]]></description>
			<content:encoded><![CDATA[<p style="text-align: left;"><strong>Battery Selection</strong></p>
<div class="g2image_centered" style="text-align: left;"><a href="http://pitelspot.com/wp-gallery2.php?g2_itemId=19023"><img class="g2image_float_left" title="DSCF4706_RevA.jpg" src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=19025&amp;g2_serialNumber=2&amp;g2_GALLERYSID=ca6adb5f9fbbaf59eae269c9395502d6" alt="DSCF4706_RevA.jpg" width="113" height="150" align="left" /></a>Battery life is often measured by <em>cycle life</em>, the number of full charge/discharge cycles before the battery reaches 80% of its original capacity. Keeping the discharge current relative to the battery&#8217;s amp×hour capacity low and the discharge shallow improves battery longevity. Typical 12 V sealed lead acid (SLA) cells, like the ones found a Go-Ped, can be cycled 300 times. Here are a couple of tips about buying replacement batteries. Manufactures that do not advertise cycle life are probably not worth buying from, as they may use lower quality materials. Also, be wary of vendors that claim their cheaper batteries are &#8220;replacements for&#8221; and &#8220;perform similar to,&#8221; yet have no datasheets to back up these claims. As it turns out, Best Batteries (B&amp;B) provides lots of data about their batteries, and come stock with Go-Ped Scooters. The ESR 750 contains B&amp;B HR-9 batteries intended for high-discharge rates. The replacement battery should have the same width and length but a taller height and also be designed for high-discharge rates and high cycle life. Below is a summary for three different batteries meeting this size and discharge rate profile. All the data was taken from datasheets on the <a href="http://www.bb-battery.com">B&amp;B website</a>. I decided to get the EVP12-12 which I purchased locally from <a href="http://www.brandtservicesinc.com/">Brandt Services Inc.</a> in St. Louis, Missouri, which had excellent customer service, reasonable prices, and dirt cheap shipping. The discharge rate was calculated from the Go-Ped&#8217;s specified distance, max speed, and from the stock battery&#8217;s discharge characteristics.</div>
<div class="g2image_centered" style="text-align: left;">
<table class="MsoTableGrid" style="border: medium none ; border-collapse: collapse" border="1" cellspacing="0" cellpadding="0">
<tbody>
<tr>
<td style="border: 1pt solid black; padding: 0in 5.4pt; width: 53.6pt; background-color: transparent;" width="71" valign="top"><strong><span style="font-size: x-small;"><span style="font-family: Calibri;">Model</span></span></strong></td>
<td style="padding: 0in 5.4pt; width: 78.75pt; background-color: transparent; border: 1pt 1pt 1pt medium solid solid solid none black black black #d4d0c8;" width="105" valign="top"><strong><span style="font-size: x-small;"><span style="font-family: Calibri;">L×W×H (in.)</span></span></strong></td>
<td style="padding: 0in 5.4pt; width: 56.25pt; background-color: transparent; border: 1pt 1pt 1pt medium solid solid solid none black black black #d4d0c8;" width="75" valign="top"><strong><span style="font-size: x-small;"><span style="font-family: Calibri;">Discharge Rate (A)</span></span></strong></td>
<td style="padding: 0in 5.4pt; width: 0.5in; background-color: transparent; border: 1pt 1pt 1pt medium solid solid solid none black black black #d4d0c8;" width="48" valign="top"><strong><span style="font-size: x-small;"><span style="font-family: Calibri;">Time (min)</span></span></strong></td>
<td style="padding: 0in 5.4pt; width: 55.65pt; background-color: transparent; border: 1pt 1pt 1pt medium solid solid solid none black black black #d4d0c8;" width="74" valign="top"><strong><span style="font-size: x-small;"><span style="font-family: Calibri;">Discharge Rate (A)</span></span></strong></td>
<td style="padding: 0in 5.4pt; width: 56.85pt; background-color: transparent; border: 1pt 1pt 1pt medium solid solid solid none black black black #d4d0c8;" width="76" valign="top"><strong><span style="font-size: x-small;"><span style="font-family: Calibri;">Cycle Life (cyles)</span></span></strong></td>
</tr>
<tr>
<td style="padding: 0in 5.4pt; width: 53.6pt; background-color: transparent; border: medium 1pt 1pt none solid solid #d4d0c8 black black;" width="71" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">HR9-12</span></span></td>
<td style="padding: 0in 5.4pt; width: 78.75pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="105" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">5.94×2.56×3.70</span></span></td>
<td style="padding: 0in 5.4pt; width: 56.25pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="75" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">18</span></span></td>
<td style="padding: 0in 5.4pt; width: 0.5in; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="48" valign="top"><span style="font-size: small;"><span style="font-family: Calibri;">15</span></span></td>
<td style="padding: 0in 5.4pt; width: 55.65pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="74" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">9</span></span></td>
<td style="padding: 0in 5.4pt; width: 56.85pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="76" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">NA</span></span></td>
</tr>
<tr>
<td style="padding: 0in 5.4pt; width: 53.6pt; background-color: transparent; border: medium 1pt 1pt none solid solid #d4d0c8 black black;" width="71" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">EVP12-12</span></span></td>
<td style="padding: 0in 5.4pt; width: 78.75pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="105" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">5.94×3.70×3.86</span></span></td>
<td style="padding: 0in 5.4pt; width: 56.25pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="75" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">18</span></span></td>
<td style="padding: 0in 5.4pt; width: 0.5in; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="48" valign="top"><span style="font-size: small;"><span style="font-family: Calibri;">25</span></span></td>
<td style="padding: 0in 5.4pt; width: 55.65pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="74" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">12</span></span></td>
<td style="padding: 0in 5.4pt; width: 56.85pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="76" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">300</span></span></td>
</tr>
<tr>
<td style="padding: 0in 5.4pt; width: 53.6pt; background-color: transparent; border: medium 1pt 1pt none solid solid #d4d0c8 black black;" width="71" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">EB12-12</span></span></td>
<td style="padding: 0in 5.4pt; width: 78.75pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="105" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">5.94×3.70×3.86</span></span></td>
<td style="padding: 0in 5.4pt; width: 56.25pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="75" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">18</span></span></td>
<td style="padding: 0in 5.4pt; width: 0.5in; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="48" valign="top"><span style="font-size: small;"><span style="font-family: Calibri;">35</span></span></td>
<td style="padding: 0in 5.4pt; width: 55.65pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="74" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">5</span></span></td>
<td style="padding: 0in 5.4pt; width: 56.85pt; background-color: transparent; border: medium 1pt 1pt medium none solid solid none #d4d0c8 black black #d4d0c8;" width="76" valign="top"><span style="font-size: x-small;"><span style="font-family: Calibri;">300</span></span></td>
</tr>
</tbody>
</table>
</div>
<p style="text-align: left;"><strong>Scooter Cavity Extension</strong></p>
<p class="g2image_centered" style="text-align: left;">The Go-Ped scooter base needs modification if it is going to accommodate the larger batteries.  Much inspiration came from user Goped19 on <a href="http://www.gopednation.com/forum/">GopedNation</a> and battery discussions on <a href="http://visforvoltage.org/">V is for Voltage Forums</a>.  The height was increased by stacking additional wood boards that mimicked the original base. I purchased one 24×24×0.75 inch thick piece of plyboard and drew two outlines using the original base as a template. Drill a large hole into each board and the cut the outline with a jigsaw, as shown Fig. 1.</p>
<p class="g2image_centered" style="text-align: left;"><a href="http://pitelspot.com/wp-gallery2.php?g2_itemId=19032"><img class="g2image_centered" title="DSCF4654.JPG" src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=19034&amp;g2_serialNumber=2" alt="DSCF4654.JPG" width="150" height="113" /></a><br />
Fig. 1 Cutting the outline</p>
<p class="g2image_centered" style="text-align: left;">The boards were stacked, carefully aligned, then locked into position with aluminum tension wire. The board&#8217;s height makes straight drilling difficult. Use a drill press to make mounting holes. When the holes are done, the boards can be clamped together with a screw, nut, and washer. This is handy for keeping boards together when sanding the edges with a belt sander a wood file, as shown in Fig. 2.</p>
<div class="g2image_centered" style="text-align: left;"><a href="http://pitelspot.com/wp-gallery2.php?g2_itemId=19035"><img class="g2image_centered" title="IMAGE_124.jpg" src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=19037&amp;g2_serialNumber=2" alt="IMAGE_124.jpg" width="150" height="113" /></a><br />
Fig. 2 Cleaning up the woodwork</div>
<p class="g2image_centered" style="text-align: left;">Finally, I connected batteries as outlined in a <a href="http://pitelspot.com/index.php/2007/11/29/go-ped-electric-scooter-battery-life/">previous post</a> and screwed down the board with 3.5 in. long, 0.25 in. dia., 20 count thread screw. The first trip to work was 3.8 miles with a 170 lb payload in econo-mode. I arrived with 60% remaining capacity according to the state-of-charge versus terminal voltage chart found in technical manual on the <a href="http://www.bb-battery.com">B&amp;B&#8217;s website</a>.</p>
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		<title>Go-Ped Electric Scooter Battery Life</title>
		<link>http://pitelspot.com/2007/11/29/go-ped-electric-scooter-battery-life</link>
		<comments>http://pitelspot.com/2007/11/29/go-ped-electric-scooter-battery-life#comments</comments>
		<pubDate>Fri, 30 Nov 2007 03:37:01 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Guides]]></category>
		<category><![CDATA[Main]]></category>
		<category><![CDATA[Power Electronics]]></category>
		<category><![CDATA[Technology]]></category>

		<guid isPermaLink="false">http://pitelspot.com/index.php/2008/08/06/go-ped-electric-scooter-battery-life/</guid>
		<description><![CDATA[If you are reading this post, you probably are experiencing decreased range and speed on your Go-Ped electric scooter. I too have experienced these problems, but I am going to share some solutions I came ...]]></description>
			<content:encoded><![CDATA[<div class="g2image_centered"><a href="http://pitelspot.com/wp-gallery2.php?g2_itemId=19023"><img src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=19025&amp;g2_serialNumber=2&amp;g2_GALLERYSID=ca6adb5f9fbbaf59eae269c9395502d6" alt="DSCF4706_RevA.jpg" title="DSCF4706_RevA.jpg" class="g2image_float_left" width="113" align="left" height="150" /></a>If you are reading this post, you probably are experiencing decreased range and speed on your Go-Ped electric scooter. I too have experienced these problems, but I am going to share some solutions I came up with. I purchased a Go-Ped ESR-750 scooter this summer for transportation in Mountain View, CA for a summer internship. I rode that scooter every day to work on turbo-mode, which was about two miles. At the end of internship, I could not even get to work on econo-mode, and when I returned home I junked the batteries to lighten the shipping cost. Later, <a href="http://pitelspot.com/index.php/2007/12/02/goped-range-modification/">I modified my scooter to fit a larger pack size</a>.</div>
<p>Two months into the internship I could not get to work any more. I opened the scoot scooter top to find 4 sealed-lead-acid (SLA) batteries with a pack configuration shown in Fig. 1.</p>
<p><img src="http://pitelspot.com/wp-content/uploads/2007/11/113007-0337-gopedelectr1.png" /><a href="http://pitelspot.com/wp-gallery2.php?g2_itemId=19038"></a><br />
Fig. 1. Stock Go-ped battery pack configuration.</p>
<p>From previous work I did with laptop batteries, I learned that manufacturers typically tie together parallel cells such that they form a pack similar to the one shown in Fig. 2, Step 4, which has two advantages. First, it halves the number of sensors that measure voltage. Measuring two voltages, one across B<sub>1A</sub> and another across B<sub>2A</sub> is essential for determining when to end charge and discharge, major factors that affect battery life. Unfortunately, the scooter model only measured the stack voltage, the total voltage across B<sub>1A</sub> and B<sub>2A</sub>. The second advantage is that it provides a balancing effect. If a cell becomes weaker, the adjacent cell gives it charge. Having cells reach end-of-charge and discharge in unison is the most beneficial situation. After two months my batteries were significantly damaged. I parallel tied my batteries, which allowed them to die more gracefully and it also gave me about 20% more range, both which helped me get to work and back until the end of the summer.</p>
<p><img src="http://pitelspot.com/wp-content/uploads/2008/08/batterysteps.png" alt="batterysteps.png" /><br />
Fig. 2. Steps to extend Go-Ped pack configuration</p>
<p>IMPORTANT: Do not reconfigure the battery pack if you do not know what you are doing, and expect to void your warranty too. However if you want to take preventive measures follow these steps.</p>
<p>STEPS TO MODDING GO-PED BATTERY PACK</p>
<ol>
<li>Find a well ventilated area to work in.</li>
<li>Disconnect the scooter from the charger and open the board with a torx screw driver.</li>
<li>Remove the four quick-connects at the top and bottom of the batteries.</li>
<li>Remove the two metal tabs that connect B<span style="font-size: 10pt"><sub>1A</sub></span> to B<sub>2A</sub> and the one that connect B<sub>1B</sub> to B<sub>2B</sub>.</li>
<li>
<div>Create a wire harness that replaces the function of the metal tabs and will tie together the cells.</div>
<ol>
<li>You will need two short pieces of stranded 12 AWG wire and four yellow T2 female quick connect terminals and one long 18 or 22 AWG.</li>
<li>Strip the wires and crimp both an the 18 AWG and the 22 AWG terminal into the same terminal.</li>
<li>Crimp the other terminals so that the harness forms an H shape.</li>
</ol>
</li>
<li>
<div>IMPORTANT: you must balance parallel batteries before you connect them together. Otherwise you will cause a spark and damage your batteries.</div>
<ol>
<li>Connect small resistors, about 100 Ω, between parallel batteries, and let them balance for a few hours.</li>
</ol>
</li>
<li>Once balanced you can proceed to reconnect your pack.</li>
</ol>
<p>The final connected harness should look something like the one in Fig. 3.</p>
<p><a href="http://pitelspot.com/wp-gallery2.php?g2_itemId=19038"><img src="http://pitelspot.com/gallery2/main.php?g2_view=core.DownloadItem&amp;g2_itemId=19040&amp;g2_serialNumber=2" alt="IMAGE_128.jpg" title="IMAGE_128.jpg" class="g2image_centered" width="150" height="99" /></a><br />
Fig. 3. Completed wire harness</p>
<p>Once you have made these modifications to you scooter there are some other life extension options to consider. Re-configuring the pack was a simple form of cell balancing, where charge moves between adjacent cells. There are commercial active cell-balancing products such as <a href="http://www.smartsparkenergy.com/prod_batteq.htm" target="_blank">BattEQ</a> and <a href="http://www.powerdesigners.com/powercheq.htm">Power Cheq</a> that moves charge from different levels of a stack. Check your scooter dimensions for free space. Another option is higher quality, larger capacity batteries. Ultimately I choose the last option, which I will discuss in another article and describe other scooter modifications.</p>
<p><strong>UPDATE:</strong><br />
My wife and I have been able to get a couple rides into work this summer. We have been very happy with the new pack.  I am able to ride 5 miles to work all on turbo mode .  I measured the pack once, which indicated that this distance depletes the pack by 50%. I live in Illinois, which is as flat as you can get.  I recently added some packaging foam around the batteries as the <a href="http://pitelspot.com/index.php/2007/12/02/goped-range-modification/">bigger batteries</a> were causing a lot of road vibration. This easy mod made our rides a lot more comfortable.</p>
<p>My chain was starting to get stretched out from use. I tried to use my bike chain tool to remove some links, but Go-Peds chains are much smaller. I the bought the chain tensioner add-on for the scooter which works like a charm.  Looking back, I should have built my own.  $40 for a piece for plastic is a bit pricey.</p>
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		<title>DCR Current Sensing Explained</title>
		<link>http://pitelspot.com/2007/07/01/dcr-current-sensing-explained</link>
		<comments>http://pitelspot.com/2007/07/01/dcr-current-sensing-explained#comments</comments>
		<pubDate>Sun, 01 Jul 2007 21:44:28 +0000</pubDate>
		<dc:creator>Grant Pitel</dc:creator>
				<category><![CDATA[Guides]]></category>
		<category><![CDATA[Main]]></category>
		<category><![CDATA[Power Electronics]]></category>
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		<guid isPermaLink="false">http://www.pitelspot.com/index.php/2007/07/01/dcr-current-sensing-explained/</guid>
		<description><![CDATA[There are many ways to measure a dc-dc converter’s inductor current for use in control. Direct-current resistance (DCR) is one low loss and cost method for measuring this current, it consists of a series RC ...]]></description>
			<content:encoded><![CDATA[<p class="western" style="margin-bottom: 0.14in">There are many ways to measure a dc-dc converter’s inductor current for use in control. <em>Direct-current resistance</em> (DCR) is one low loss and cost method for measuring this current, it consists of a series RC network in parallel with the inductor. The RC network has some advantages over other methods: it has lower I<sup>2</sup>R losses than shunt resistors and is cheaper than transducers. The correct RC time constant will produce a measurable capacitor voltage that matches the inductor current. However, DCR could run into issues at fast switching frequencies where parasitics arise or when the inductor coil heats-up which increase resistance. Both situations disarrange the tuned circuit network making the measurement less accurate. To demonstrate how DCR works, consider in the dc-dc converter in Fig. 1.</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_4bd832c4.gif" name="Object1" align="bottom" /></p>
<p style="margin-bottom: 0.14in"><font color="#4f81bd"><font style="font-size: 9pt" size="2"><strong>Fig. 1 Buck converter with DCR</strong></font></font></p>
<p class="western" style="margin-bottom: 0.14in">The buck converter circuit was simplified for analysis purposes by replacing the input and output with arbitrary voltage sources as shown in Fig. 2. The input voltage <em>V<sub>in</sub>(t)</em> is a voltage signal produced by switching a dc voltage source. The input voltage passes through an LC filter, where <em>L<sub>2</sub></em> is the inductor and <em>R<sub>2</sub></em> its winding resistance. The inductor and output capacitor produce a filtered output signal <em>V<sub>out</sub>(t)</em>. The components in parallel with the inductor, <em>R<sub>1</sub></em> and <em>C<sub>1</sub></em>, is the DCR network, which is chosen in such a way that the voltage <em>v<sub>C</sub></em> across <em>C<sub>1</sub></em> is proportional to the inductor current <em>i<sub>L</sub></em>.</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m2b279bf.gif" name="Object2" align="bottom" /></p>
<p style="margin-bottom: 0.14in"><font color="#4f81bd"><font style="font-size: 9pt" size="2"><strong>Fig. 2 Simplified Buck circuit</strong></font></font></p>
<p class="western" style="margin-bottom: 0.14in">The circuit is further simplified by combining the network into parallel impedance, <em>Z<sub>1</sub></em> and <em>Z<sub>2</sub></em> as shown in Fig. 3.</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/dcr-current-sensing-explained_html_6d69904a.gif" id="image326" alt="dcr-current-sensing-explained_html_6d69904a.gif" /></p>
<p style="margin-bottom: 0.14in"><font color="#4f81bd"><font style="font-size: 9pt" size="2"><strong>Fig. 3 Parallel impedance network</strong></font></font></p>
<p class="western" style="margin-bottom: 0.14in">The following derivation shows the mathematical relationship between <em>R<sub>1</sub></em>, <em>C<sub>1</sub></em>, <em>R<sub>2</sub></em>, and <em>L<sub>2</sub></em> how to choose the RC network.</p>
<p class="western" style="margin-bottom: 0.14in">The voltage across <em>C<sub>1</sub></em> is</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_757696b6.gif" name="graphics1" border="0" /> (1)</p>
<p class="western" style="margin-bottom: 0.14in">and total input current is</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_711a00f6.gif" name="graphics2" border="0" /> (2)</p>
<p class="western" style="margin-bottom: 0.14in">where the total input impedance is</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m6247b5f2.gif" name="graphics3" border="0" />. (3)</p>
<p class="western" style="margin-bottom: 0.14in">The voltage difference term in (1)<sub> </sub>replaced with <img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m2742a399.gif" name="graphics4" border="0" /> according to (2) gives</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m381aa509.gif" name="graphics5" border="0" />. (4)</p>
<p class="western" style="margin-bottom: 0.14in">Looking at the parallel impedance as a current divider, the inductor current is</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_30dca62a.gif" name="graphics6" border="0" /> (5)</p>
<p class="western" style="margin-bottom: 0.14in">Substituting (3) into (4)</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m228c30e4.gif" name="graphics7" border="0" /> (6)</p>
<p class="western" style="margin-bottom: 0.14in">then (5) into (6)</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m3a88c606.gif" name="graphics8" border="0" /> (7)</p>
<p class="western" style="margin-bottom: 0.14in">The DCR capacitor voltage is proportional to inductor the current by a factor <em>K</em> when</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_316979d4.gif" name="graphics9" border="0" /> (8)</p>
<p class="western" style="margin-bottom: 0.14in">Which is the same as</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_2eb4dd3f.gif" name="graphics10" border="0" />. (9)</p>
<p class="western" style="margin-bottom: 0.14in">Thus when</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_7037956e.gif" name="graphics11" border="0" /> (10)</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_246ac5ca.gif" name="graphics12" border="0" /> (11)</p>
<p class="western" style="margin-bottom: 0.14in">and thus</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_1c281e4f.gif" name="graphics13" border="0" /> (12)</p>
<p class="western" style="margin-bottom: 0.14in">To validate this mathematical relationship, the buck converter in Fig. 4 was simulated in Simulink™ and the results plotted Fig. 5. The parameter values for the circuit are <em>E</em> = 12 V,<em> R<sub>1</sub></em> = 1 kΩ, C<em><sub>1</sub></em> = 1 μF, <em>R<sub>2</sub></em> = 1 Ω, and <em>L<sub>2</sub></em> = 1 mH. The circuit ran at a switching frequency of 100 kHz at 50% duty cycle.</p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/model_sm.png" id="image337" alt="model_sm.png" /></p>
<p style="margin-bottom: 0.14in"><font color="#4f81bd"><font style="font-size: 9pt" size="2"><strong>Fig. 4. Simulink Buck converter model</strong></font></font></p>
<p class="western" style="margin-bottom: 0.14in"><img src="http://www.pitelspot.com/wp-content/uploads/2007/07/DCR-Current-Sensing-Explained_html_m6ede51a3.gif" name="graphics15" align="bottom" border="0" /></p>
<p style="margin-bottom: 0.14in"><font color="#4f81bd"><font style="font-size: 9pt" size="2"><strong>Fig. 5. Simulated output</strong></font></font></p>
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