Model railway LED district allocation calculator

Calculate branch assignment and loads and unallocated accessories with your own figures.

Your numbers

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

Use branch assignment and loads and unallocated accessories to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Accessory currents (amperes)
0.3,0.2,0.4
Branch operating limits (amperes)
0.5,0.5
Branch assignment and loads (JSON)
{"assignments":[2,2,1],"loads":[0.4,0.5],"unassigned":[]}
Unallocated accessories (count)
0

Try another scenario

Accessory currents (amperes)
0.4,0.4,0.4,0.3
Branch operating limits (amperes)
0.7,0.7
Branch assignment and loads (JSON)
{"assignments":[1,2,null,1],"loads":[0.7,0.4],"unassigned":[3]}
Unallocated accessories (count)
1
Calculation method

Calculation method

Branch assignment and loads (JSON)

Sort accessories by descending current; choose feasible branch with lowest current then index; null means gap.

Unallocated accessories (count)

Count unassigned accessories after deterministic greedy allocation.

Symbols and units
a
Accessory currents (amperes)
b
Branch operating limits (amperes)

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

  • Greedy accessory-to-branch allocation using supplied current limits; does not assess electrical protection. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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