#ac-power

Three-phase AC power maths as an API, computed locally and deterministically. The power endpoint solves the three-phase power triangle from the line-to-line voltage, the line current and the power factor — the apparent power S = √3·V_L·I_L in volt-amperes, the real power P = S·cosφ in watts, the reactive power Q = S·sinφ in VAR and the phase angle — or works backwards to find the line current a load draws for a given real power. The wye endpoint gives the star-connection relationships, where the line-to-line voltage is √3 times the phase voltage and the line and phase currents are equal. The delta endpoint gives the delta-connection relationships, where the line and phase voltages are equal and the line current is √3 times the phase current. Supply a line or phase quantity and it returns the rest. Everything is computed locally and deterministically, so it is instant and private. Ideal for electrical, motor, industrial-automation, solar-inverter and building-services app developers, switchboard and motor-sizing tools, and electrical-engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is balanced three-phase power; for the single-phase power triangle use a power-factor API and for voltage drop a voltage-drop API.

api.oanor.com/threephase-api

AC power triangle and power-factor maths as an API, computed locally and deterministically. The power-factor endpoint solves the power triangle: from any two of the apparent power S (volt-amperes), the real power P (watts), the reactive power Q (VAR), the power factor (cos φ) or the phase angle it returns all of them, using S = √(P²+Q²), P = S·cosφ, Q = S·sinφ and PF = P/S. The load endpoint computes the powers of a load directly from its voltage, current and power factor — single-phase S = V·I or three-phase S = √3·V·I from line values. The correction endpoint sizes power-factor correction: the reactive power a capacitor must supply to raise the power factor from a present value to a target, Qc = P·(tanφ1 − tanφ2), and — given the supply voltage and frequency — the capacitance, C = Qc/(2π·f·V²), the basis of cutting reactive demand and utility penalties. Everything is computed locally and deterministically, so it is instant and private. Ideal for electrical-engineering and power-systems tools, motor, industrial and HVAC load analysis, energy-billing and power-quality apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is AC power and power-factor correction; for Ohm's law, reactance and resonance use an Ohm's-law API.

api.oanor.com/powerfactor-api