Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal
Abstract In this Part 1 article of this series of articles, a new methodology to refine the Co-Content function $$\left(CC\left(V,I\right)\right)$$ C C V , I is proposed, consisting on fitting the current minus the short-circuit current $$(I-{I}_{sc})$$ ( I - I sc ) , to an $$N-1$$ N - 1 order polyn...
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Springer
2024-12-01
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| Series: | Discover Electronics |
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| Online Access: | https://doi.org/10.1007/s44291-024-00036-9 |
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| author | Victor-Tapio Rangel-Kuoppa |
| author_facet | Victor-Tapio Rangel-Kuoppa |
| author_sort | Victor-Tapio Rangel-Kuoppa |
| collection | DOAJ |
| description | Abstract In this Part 1 article of this series of articles, a new methodology to refine the Co-Content function $$\left(CC\left(V,I\right)\right)$$ C C V , I is proposed, consisting on fitting the current minus the short-circuit current $$(I-{I}_{sc})$$ ( I - I sc ) , to an $$N-1$$ N - 1 order polynomial, where $${N}_{points}=N$$ N points = N , is the number of measured current–voltage $$\left(IV\right)$$ I V points, and integrating it to calculate $$CC\left(V,I\right)$$ C C V , I . 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 , are then deduced, in the case of a constant percentage noise or a percentage noise of the maximum current $$\left({I}_{max}\right)$$ I max . In the former case, $${R}_{s}$$ R s , $${R}_{sh}, n, \text{and } {I}_{lig},$$ R sh , n , and I lig , can be deduced with less than 10% error, using only $${P}_{V}=$$ P V = 51 $$\frac{number\, of \,points}{V}$$ n u m b e r o f p o i n t s V , even if the noise is as large as $${p}_{n}=0.1\text{\%}$$ p n = 0.1 \% , with a computation time around 80 ms. $${I}_{sat}$$ I sat needs $${p}_{n}=0.05\text{\%}$$ p n = 0.05 \% or less, and $${P}_{V}$$ P V equal or larger than 501 $$\frac{number\, of\, points}{V}$$ n u m b e r o f p o i n t s V . For the latter case, $${R}_{s}$$ R s , $$\text{and } {I}_{lig},$$ and I lig , can be obtained with less than 10% error, using only $${P}_{V}=$$ P V = 251 $$\frac{number\, of\, points}{V}$$ n u m b e r o f p o i n t s V , and $${p}_{n}=0.1\text{\%}$$ p n = 0.1 \% , or smaller, with total computation time around 49 s. $${R}_{sh}, {I}_{sat}, \text{and } n$$ R sh , I sat , and n needs that $${p}_{n}\le 0.05\text{\%}$$ p n ≤ 0.05 \% , and $${P}_{V}=$$ P V = 751 $$\frac{number\, of \,points}{V}$$ n u m b e r o f p o i n t s V or larger. A computation time expression of the form $$time=E{{N}_{points}}^{m}$$ t i m e = E N points m , is deduced. The methodology proposed in this article is appliable to unevenly/randomly distributed IV data points, and it is implemented in Part 2 in solar cells’ and photovoltaic modules’ experimental $$IV$$ IV reported in the literature, to deduce their five solar cell parameters. |
| format | Article |
| id | doaj-art-6cec2fa6e04049f78735033798410996 |
| institution | Kabale University |
| issn | 2948-1600 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Springer |
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| series | Discover Electronics |
| spelling | doaj-art-6cec2fa6e04049f787350337984109962025-01-05T12:11:20ZengSpringerDiscover Electronics2948-16002024-12-011111810.1007/s44291-024-00036-9Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposalVictor-Tapio Rangel-Kuoppa0Department of Physics, Lancaster UniversityAbstract In this Part 1 article of this series of articles, a new methodology to refine the Co-Content function $$\left(CC\left(V,I\right)\right)$$ C C V , I is proposed, consisting on fitting the current minus the short-circuit current $$(I-{I}_{sc})$$ ( I - I sc ) , to an $$N-1$$ N - 1 order polynomial, where $${N}_{points}=N$$ N points = N , is the number of measured current–voltage $$\left(IV\right)$$ I V points, and integrating it to calculate $$CC\left(V,I\right)$$ C C V , I . 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 , are then deduced, in the case of a constant percentage noise or a percentage noise of the maximum current $$\left({I}_{max}\right)$$ I max . In the former case, $${R}_{s}$$ R s , $${R}_{sh}, n, \text{and } {I}_{lig},$$ R sh , n , and I lig , can be deduced with less than 10% error, using only $${P}_{V}=$$ P V = 51 $$\frac{number\, of \,points}{V}$$ n u m b e r o f p o i n t s V , even if the noise is as large as $${p}_{n}=0.1\text{\%}$$ p n = 0.1 \% , with a computation time around 80 ms. $${I}_{sat}$$ I sat needs $${p}_{n}=0.05\text{\%}$$ p n = 0.05 \% or less, and $${P}_{V}$$ P V equal or larger than 501 $$\frac{number\, of\, points}{V}$$ n u m b e r o f p o i n t s V . For the latter case, $${R}_{s}$$ R s , $$\text{and } {I}_{lig},$$ and I lig , can be obtained with less than 10% error, using only $${P}_{V}=$$ P V = 251 $$\frac{number\, of\, points}{V}$$ n u m b e r o f p o i n t s V , and $${p}_{n}=0.1\text{\%}$$ p n = 0.1 \% , or smaller, with total computation time around 49 s. $${R}_{sh}, {I}_{sat}, \text{and } n$$ R sh , I sat , and n needs that $${p}_{n}\le 0.05\text{\%}$$ p n ≤ 0.05 \% , and $${P}_{V}=$$ P V = 751 $$\frac{number\, of \,points}{V}$$ n u m b e r o f p o i n t s V or larger. A computation time expression of the form $$time=E{{N}_{points}}^{m}$$ t i m e = E N points m , is deduced. The methodology proposed in this article is appliable to unevenly/randomly distributed IV data points, and it is implemented in Part 2 in solar cells’ and photovoltaic modules’ experimental $$IV$$ IV reported in the literature, to deduce their five solar cell parameters.https://doi.org/10.1007/s44291-024-00036-9Co-content functionSaturation currentLight currentIdeality factorSeries resistanceShunt resistance |
| spellingShingle | Victor-Tapio Rangel-Kuoppa Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal Discover Electronics Co-content function Saturation current Light current Ideality factor Series resistance Shunt resistance |
| title | Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal |
| title_full | Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal |
| title_fullStr | Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal |
| title_full_unstemmed | Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal |
| title_short | Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal |
| title_sort | refinement of the co content function through an integration of a polynomial fit of i i sc i i sc part 1 theoretical analysis and proposal |
| topic | Co-content function Saturation current Light current Ideality factor Series resistance Shunt resistance |
| url | https://doi.org/10.1007/s44291-024-00036-9 |
| work_keys_str_mv | AT victortapiorangelkuoppa refinementofthecocontentfunctionthroughanintegrationofapolynomialfitofiisciiscpart1theoreticalanalysisandproposal |