Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 284 of 494
In photovoltaic solar cell characterization, the Fill Factor (\( \text{FF} \)) is defined as the ratio of:
A
Maximum output power point (\( P_{\text{max}} = V_m I_m \)) to the product of open-circuit voltage and short-circuit current (\( V_{\text{oc}} I_{\text{sc}} \))
B
Total solar irradiance input to the DC electrical power output
C
Short-circuit current to the reverse saturation dark current
D
Open-circuit voltage to the semiconductor band gap
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Maximum output power point (\( P_{\text{max}} = V_m I_m \)) to the product of open-circuit voltage and short-circuit current (\( V_{\text{oc}} I_{\text{sc}} \))
Concept:

The Fill Factor (\( \text{FF} \)) measures the 'squareness' of a solar cell's I-V curve, representing the ratio of maximum achievable power (\( V_{\text{mp}} I_{\text{mp}} \)) to the theoretical upper limit product (\( V_{\text{oc}} I_{\text{sc}} \)).

Formula:

$$\text{FF} = \frac{P_{\text{max}}}{V_{\text{oc}} \cdot I_{\text{sc}}} = \frac{V_{\text{mp}} \cdot I_{\text{mp}}}{V_{\text{oc}} \cdot I_{\text{sc}}} \quad (\text{where } 0.7 < \text{FF} < 0.85 \text{ for high-quality cells})$$

Solution:

  • \( V_{\text{oc}} \) is the maximum open-circuit voltage at zero current.


  • \( I_{\text{sc}} \) is the maximum short-circuit current at zero voltage.


  • The ratio \( \frac{V_{\text{mp}} I_{\text{mp}}}{V_{\text{oc}} I_{\text{sc}}} \) gives the Fill Factor \( \text{FF} \), which directly determines the overall solar cell power conversion efficiency: \( \eta = \frac{\text{FF} \cdot V_{\text{oc}} \cdot I_{\text{sc}}}{P_{\text{in}}} \).


Why other options are incorrect:

  • Option B: The ratio of DC electrical output to solar irradiance input defines the power conversion efficiency \( \eta \), not the Fill Factor.
  • Option C: \( I_{\text{sc}} / I_0 \) relates to internal illumination gain, not the Fill Factor.
  • Option D: \( V_{\text{oc}} / E_g \) is the voltage extraction fraction.

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