A PV module has 20 cells connected in series. There are no protection diodes. Each cell has a Voc of 1V and Isc of 2A. One cell is completely shaded. Across the shaded cell, instead of a bypass diode, a resistor of 10 ohms is connected. Calculate the Voc of the PV module.
Answers
Answer:
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Answer:40.1A
Explanation:
When a cell in a PV module is completely shaded, it acts like a load resistor, and the current passing through it is limited by the resistance of the shaded cell. If there is no bypass diode, the entire module may be affected by the shading. To calculate the Voc and Isc of the PV module in this case, we can use the following steps:
Calculate the voltage and current across the shaded cell.
Calculate the voltage and current across the unshaded cells.
Calculate the total voltage and current of the module.
Step 1: The voltage across the shaded cell is zero, since it is acting like a short circuit. The current passing through the shaded cell is limited by the resistor connected across it, which has a value of 10 ohms. Therefore, the current through the shaded cell is:
Ishaded = V / R = 1V / 10 ohms = 0.1A
Step 2: The voltage across each unshaded cell is 1V, and the current passing through each unshaded cell is 2A. Therefore, the total voltage and current across the unshaded cells are:
Vunshaded = 1V x 19 = 19V
Iunshaded = 2A x 20 = 40A
Step 3: The total voltage of the module is the sum of the voltage across the shaded cell and the voltage across the unshaded cells, which is:
Vtotal = Vshaded + Vunshaded = 0V + 19V = 19V
The total current of the module is the sum of the current passing through the shaded cell and the current passing through the unshaded cells, which is:
Itotal = Ishaded + Iunshaded = 0.1A + 40A = 40.1A
Therefore, the Voc of the PV module is 19V, and the Isc of the PV module is 40.1A.