How do you calculate the power efficiency of an SMPS?
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To calculate the power efficiency of a Switch Mode Power Supply (SMPS), you can follow these steps:

1. **Measure Input Power (P_in):** Measure the input voltage (V_in) and input current (I_in) while the SMPS is operating. Use the formula:
   \[
   P_{in} = V_{in} \times I_{in}
   \]

2. **Measure Output Power (P_out):** Measure the output voltage (V_out) and output current (I_out) of the SMPS. Use the formula:
   \[
   P_{out} = V_{out} \times I_{out}
   \]

3. **Calculate Efficiency (η):** Use the following formula to find the efficiency:
   \[
   \eta = \left( \frac{P_{out}}{P_{in}} \right) \times 100\%
   \]

### Example Calculation:
- If \( V_{in} = 100 \, \text{V} \) and \( I_{in} = 1 \, \text{A} \):
  \[
  P_{in} = 100 \times 1 = 100 \, \text{W}
  \]

- If \( V_{out} = 90 \, \text{V} \) and \( I_{out} = 0.9 \, \text{A} \):
  \[
  P_{out} = 90 \times 0.9 = 81 \, \text{W}
  \]

- Then, efficiency is:
  \[
  \eta = \left( \frac{81}{100} \right) \times 100\% = 81\%
  \]

### Notes:
- Efficiency can vary with load conditions, so it's often measured at multiple points (e.g., 20%, 50%, and 100% load).
- Always consider additional losses due to components like capacitors, inductors, and switches, which may not be included in the input/output measurements.
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