Renewable Energy
Basic

Inverter Efficiency

Fraction of DC power converted to usable AC.

Formula

η=PacPdc\eta = \frac{P_{ac}}{P_{dc}}

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Variables

ηEfficiency
P_{ac}AC output (W)
P_{dc}DC input (W)

Example

P_dc=5000 W, P_ac=4850 W: η = 97%

How it works

An inverter takes direct current (DC) from a source like a battery or solar panel and converts it into alternating current (AC) for appliances and the grid. Efficiency is defined as useful output divided by input, so here it compares the AC power delivered by the inverter to the DC power it receives. A value of 1 would mean perfect conversion with no losses, but in real devices some energy is lost as heat, switching losses, and internal resistance.

When to use it

Use this formula when you want to measure how effectively an inverter converts DC electricity into AC electricity. It is common in solar power systems, battery backup systems, and any electronics setup where DC must be converted to AC.

Worked example, step by step

Step 1: Note the input power and output power. P_dc = 1200 W P_ac = 1080 W Step 2: Substitute into the formula. η = P_ac / P_dc = 1080 / 1200 Step 3: Calculate the ratio. η = 0.9 Step 4: Convert to a percentage. η = 90% Final answer: The inverter efficiency is 90%.

Common mistakes to avoid

  • Dividing DC input by AC output instead of AC output by DC input
  • Forgetting to convert the decimal efficiency to a percentage when required
  • Using voltage or current alone instead of power, since efficiency is based on power in and power out

Did You Know?

Modern solar inverters top 97% efficiency — only a sliver of energy is lost turning DC into grid AC.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026