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Efficiency Total⚠ unverified

Electrical / Power Electronics · Compute the overall efficiency from output power and total losses

Parameters

InputSymbolUnitDefaultDescription
PoutPoutW1.0Output power
PlossesPlossesW1.0Total power losses
OutputSymbolUnitDescription
resultηEfficiency (dimensionless), in the range 0 to 1. Returns 0.0 when the total input power is not positive

The science & history

Understanding the Parameters

Derivation (Approaching a Proof)

In steady state, energy conservation for a converter with no net stored-energy change requires

$$P_{in} = P_{out} + P_{losses}.$$

Efficiency is defined as the ratio of useful output to total input:

$$\eta \equiv \frac{P_{out}}{P_{in}} = \frac{P_{out}}{P_{out} + P_{losses}}.$$

No circuit assumptions enter beyond power balance. Component-level calculators (Conduction Loss, Switching Loss, Gate Drive Power, Core Loss Steinmetz, Diode Forward Loss, …) supply the pieces of $P_{losses}$.

Example: $P_{out} = 100\,\text{W}$, $P_{losses} = 5\,\text{W}$ → $\eta = 100/105 \approx 0.952$ (95.2%), heat = 5 W.

History

Efficiency has been the headline metric for power supplies since linear regulators were displaced by switchers. Regulatory programs (80 PLUS, ErP, DoE) and thermal limits make accurate loss summation — and this total $\eta$ — a standard design checkpoint.

Related Concepts: Conduction Loss, Switching Loss, Gate Drive Power, Core Loss Steinmetz, Diode Forward Loss, Watt's Law

Notes: Registry calculator efficiency-total (unverified). Definitional; quality of $\eta$ is only as good as the loss inventory. Output is a fraction, not percent.

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