// multi-utility computation suite · offline · instant · precise
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sci.synchronous-machine-power-angle Calculator
Calculates synchronous machine active and reactive power from voltage, current, power angle δ, and internal EMF Ef. P = (Ef × V/Xs) × sin δ — maximum power occurs at δ = 90° (pullout torque); machines operate below 30–40° for stability margin.
Inputs
V Kv
Electric potential difference (V). Drives current through a circuit. Household: 120 V (US) or 230 V (EU/UK).
E Kv
Reference formula or conversion factor shown for context.
Xs Ohm
Reference formula or conversion factor shown for context.
Delta Deg
Rate of energy transfer (W). P = V×I (electrical). P = F×v (mechanical). 1 horsepower ≈ 746 W.
Results
active power P (MW)
Reference formula or conversion factor shown for context.
maximum power Pmax (MW)
The largest value in the dataset or feasible range.
reactive power Q (MVAR)
Reference formula or conversion factor shown for context.
power factor
A dimensionless multiplier applied in the calculation.
P = 3VE·sin(δ)/Xs | Pmax at δ=90°
The value at the specified point or condition.
stability margin
Measure of how robust the system, structure, or process is to perturbations. Low stability means small changes can cause large deviations.