<p>In this article Part 2 of this series of articles, the methodology proposed in Part 1, namely, the fitting to a polynomial of the current minus the short-circuit current, i.e., <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(I-{I}_{sc}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>I</mi> <mo>-</mo> <msub> <mi>I</mi> <mrow> <mi mathvariant="italic">sc</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation><b>,</b> to calculate the Co-Content function <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="83" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left(CC\left(V,I\right)\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mi>C</mi> <mi>C</mi> <mfenced close=")" open="("> <mi>V</mi> <mo>,</mo> <mi>I</mi> </mfenced> </mfenced> </math></EquationSource> </InlineEquation> and extract the five solar cell parameters, i.e., the shunt resistance<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left({R}_{sh}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <msub> <mi>R</mi> <mrow> <mi mathvariant="italic">sh</mi> </mrow> </msub> </mfenced> </math></EquationSource> </InlineEquation>, the series resistance<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq5.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left({R}_{s}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <msub> <mi>R</mi> <mi>s</mi> </msub> </mfenced> </math></EquationSource> </InlineEquation>, the ideality factor<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left(n\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mi>n</mi> </mfenced> </math></EquationSource> </InlineEquation>, the light current<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq7.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left({I}_{lig}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <msub> <mi>I</mi> <mrow> <mi mathvariant="italic">lig</mi> </mrow> </msub> </mfenced> </math></EquationSource> </InlineEquation>, and the saturation current<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44291_2024_38_Article_IEq8.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left({I}_{sat}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <msub> <mi>I</mi> <mrow> <mi mathvariant="italic">sat</mi> </mrow> </msub> </mfenced> </math></EquationSource> </InlineEquation>, (within the one-diode solar cell model), is implemented on reported Current–Voltage (<i>IV</i>) curves found in the literature, both for laboratory made solar cells, as for and single-crystalline silicon (x-Si), multi-crystalline silicon (m-Si), cadmium telluride (CdTe), copper indium gallium selenide (CIGS), amorphous silicon (a-Si) tandem and triple-junction, amorphous silicon/crystalline silicon, heterojunction with intrinsic thin-layer (HIT), and amorphous silicon/microcrystalline silicon photovoltaic modules.</p>

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Refinement of the Co-Content function, through an integration of a polynomial fit of \(I-{I}_{sc}\). Part 2 application to experimental current–voltage curves

  • Victor-Tapio Rangel-Kuoppa

摘要

In this article Part 2 of this series of articles, the methodology proposed in Part 1, namely, the fitting to a polynomial of the current minus the short-circuit current, i.e., \(I-{I}_{sc}\) I - I sc , to calculate the Co-Content function \(\left(CC\left(V,I\right)\right)\) C C V , I and extract the five solar cell parameters, i.e., the shunt resistance \(\left({R}_{sh}\right)\) R sh , the series resistance \(\left({R}_{s}\right)\) R s , the ideality factor \(\left(n\right)\) n , the light current \(\left({I}_{lig}\right)\) I lig , and the saturation current \(\left({I}_{sat}\right)\) I sat , (within the one-diode solar cell model), is implemented on reported Current–Voltage (IV) curves found in the literature, both for laboratory made solar cells, as for and single-crystalline silicon (x-Si), multi-crystalline silicon (m-Si), cadmium telluride (CdTe), copper indium gallium selenide (CIGS), amorphous silicon (a-Si) tandem and triple-junction, amorphous silicon/crystalline silicon, heterojunction with intrinsic thin-layer (HIT), and amorphous silicon/microcrystalline silicon photovoltaic modules.