Per-Unit System

Calculate Per-Unit System instantly with the exact formula and a worked example.

Per-Unit System

Z, Ω
V_base, kV
S_base, MVA
Z per-unit
1
Z_pu = Z / (V_b²/S_b)Calculate Per-Unit System instantly with the exact formula and a worked example.
Z_b
1
Z_pu
1

More about: Per-Unit System

What it calculates

The “Per-Unit System” calculator computes Z per-unit from 3 parameters: z, ω, v_base, kv, s_base, mva.

A standard physics formula used in educational and engineering tasks.

Example calculation

With parameters Z, Ω = 1, V_base, kV = 10, S_base, MVA = 100 the result is 1 (Z_pu = Z / (V_b²/S_b)).

How to use

  1. Enter z, ω, v_base, kv and s_base, mva — each field above is adjustable with a slider.
  2. Z per-unit is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Per-Unit System calculated?
The Per-Unit System calculator computes Z per-unit from z, ω, v_base, kv, s_base, mva. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Per-Unit System calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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