Electrical phase load balancing calculator

Calculate phase assignment by load and phase totals with your own figures.

Your numbers

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

Use phase assignment by load and phase totals to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Single-phase loads (kW)
3,2,1,4
Fixed phases: 0 unassigned, 1 A, 2 B, 3 C
1,0,0,2
Phase load limits (kW)
8,8,8
Phase assignment by load (JSON)
[1,3,3,2]
Phase totals (JSON)
[3,4,3]
Maximum minus minimum load (kW)
1

Try another scenario

Single-phase loads (kW)
[4, 2, 1, 4]
Fixed phases: 0 unassigned, 1 A, 2 B, 3 C
[1, 0, 0, 2]
Phase load limits (kW)
[8, 8, 8]
Phase assignment by load (JSON)
[1,3,3,2]
Phase totals (JSON)
[4,4,3]
Maximum minus minimum load (kW)
1
Calculation method

Calculation method

Phase assignment by load (JSON)

Exhaustively enumerate up to 12 load phase assignments, preserve fixed phases, respect limits and minimize max−min phase load; lexicographic tie break.

Phase totals (JSON)

Exhaustively enumerate up to 12 load phase assignments, preserve fixed phases, respect limits and minimize max−min phase load; lexicographic tie break.

Maximum minus minimum load (kW)

Exhaustively enumerate up to 12 load phase assignments, preserve fixed phases, respect limits and minimize max−min phase load; lexicographic tie break.

Symbols and units
a
Single-phase loads (kW)
b
Fixed phases: 0 unassigned, 1 A, 2 B, 3 C
c
Phase load limits (kW)

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; Exhaustively enumerate up to 12 load phase assignments, preserve fixed phases, respect limits and minimize max−min phase load; lexicographic tie break. 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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