Solve PV Module Problem: Find I,V,P for 3 Conditions

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Discussion Overview

The discussion revolves around a problem involving a photovoltaic (PV) module consisting of 40 cells, focusing on calculating current (I), voltage (V), and power (P) under three different conditions: full sunlight, one cell in shade, and two cells in shade. The context includes theoretical and practical aspects of PV module behavior when subjected to shading.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant states that the voltage of the PV module is 20 volts in full sunlight and 19.5 volts when one cell is in shade.
  • Another participant questions the assertion that a shaded cell behaves like a 5 ohm resistor, seeking clarification on the reasoning behind this value.
  • A different participant suggests that the 5 ohm resistance might be based on empirical measurements when shading an individual cell, noting that the resistance of a non-functioning silicon cell can vary based on its physical dimensions.
  • One participant confirms that the PV module should include a bypass diode to protect against issues arising from shading.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the behavior of a shaded cell acting as a resistor and the specific resistance value of 5 ohms. There is no consensus on the explanation for this behavior, and the discussion remains unresolved.

Contextual Notes

Participants have not fully explored the implications of the bypass diode or the exact conditions under which the resistance of the shaded cell is measured. The discussion lacks detailed mathematical derivations or assumptions regarding the behavior of the PV module under varying conditions.

Jason03
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Im working on a problem that involves a PV module consisting of 40 cells each at .5 volts. The problem models the module as having all 40 cells in series. The PV module is connected to a 5 ohm load. The problem also says to assume that the same current and voltage flows through the PV module and load. So solve for I, V, and P.

I just need to find the current, power, and voltage for 3 conditions.

a) when in full sunlight

b) when 1 cell is in shade

c) when 2 cells are in shade.


my question is:

I know the voltage to be 20 volts in full sunlight and 19.5 volts when 1 cell is in shade...so when 1 cell is in shade I noticed the book saying that one .5 volt cell will now act as a 5 ohm reisistor...is this true...and why?

and if that is the case for 1 cell in the shade would I have a total of 10 ohms resistance to calculate the current flowing?
 
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any ideas?...I can understand a cell not functioning acting as a resistor...but why 5 ohms?
 
Jason03 said:
any ideas?...I can understand a cell not functioning acting as a resistor...but why 5 ohms?

I would guess it is because that's what someone measured when they shaded an individual cell. Silicon is a semiconductor, so with no light falling on the cell, it turns into a resistor. That resistance will depend on the physical dimensions of the cell.
 
its true , for this case the PV module must protect it by bypass diode
 

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