Electrical harmonic RMS aggregation calculator

Calculate total RMS current and current THD with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use total RMS current and current THD to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Fundamental RMS current (A)
100
Higher harmonic RMS currents (A)
10,8,5
Total RMS current (A)
100.940577
Current THD (%)
13.747727

Try another scenario

Fundamental RMS current (A)
101
Higher harmonic RMS currents (A)
[10, 8, 5]
Total RMS current (A)
101.931349
Current THD (%)
13.611611
Calculation method

Calculation method

Total RMS current (A)

Orthogonal harmonic RMS components combine by root-sum-square; THD excludes the fundamental in numerator.

Current THD (%)

Orthogonal harmonic RMS components combine by root-sum-square; THD excludes the fundamental in numerator.

Symbols and units
a
Fundamental RMS current (A)
b
Higher harmonic RMS currents (A)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Orthogonal harmonic RMS components combine by root-sum-square; THD excludes the fundamental in numerator. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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