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Mismatch_from_cross-string_shade.md

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Effects from shade are complicated, but can be summarized in two orthogonal categories:
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1. shade across all modules parallel to strings
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2. shade across few modules perpendicular to strings
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## shade parallel to rows
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Row-to-row shade in fixed-tilt systems, typically in winter, is an example of
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shade across all modules that is parallel to strings. When I originally wrote
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about [PV electrical mismatch]]({filename}PV-electrical-mismatch.md), I analyzed
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this type of shade using [PVMismatch](https://sunpower.github.io/PVMismatch/)
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to simulate shade across the bottom row of a single string of 10 modules in a
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10 string system. The conclusion of that post was that the string performed as
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well as the most shaded cell, so even though only the bottom cells were shaded,
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the modules in the string lost most of their power. I shaded the bottom cells
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80% to simulate only diffuse light, and the string lost roughly 80% of output.
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The other 9 strings operated at full capacity, so the system only lost 8%. The
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[NIST ground mount array](https://www.nist.gov/el/energy-and-environment-division-73200/heat-transfer-alternative-energy-systems/photovoltaic-1)
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is an example of a system that will have row-to-row shade in winter that will
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cause most of the strings to lose almost all of their output even when only
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the bottom row of cells is shaded.
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![NIST Google](./images/nist-ground-array.png)
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This topic is also covered in
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## shade not parallel to rows
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However, that post also contained a picture of a rooftop with non-uniform shade
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that was not consistent across each module of the string. The shade cast from
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the roofline cut diagonally across the modules in the string, which was wrapped
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in two rows to fit.
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![non uniform shade on a roof](./images/20150923_170418.jpg)
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I didn't analyze the shade from this system in that post, so it raises the
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question whether the rule of thumb I recommended would still apply?
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## shade perpendicular to rows
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To simplify the question, the rest of this post analyzes a PV system with a
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shade obstacle like a wind turbine tower or a telephone pole that casts shade
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perpendicular to the rows.
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>TL;DR: When shade cuts perpendicular to strings, cells go into reverse bias,
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bypass diodes activate in the shaded submodules, and the other modules operate
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at higher voltage to match the voltage of unshaded parallel strings.
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