感性: U=230V, R=0.5Ω, X=1.2Ω, I=20A, cosφ=0.8 → 近似 ΔU%≈9.74%,精确≈9.89% sinφ=0.6。IR=10V,IX=24V。近似 ΔU%≈9.74%,精确≈9.89%。{"result":"Voltage regulation (inductive (lagging)), U=230 V, I=20 A, cosφ=0.8, φ=36.8699°. IR drop=10 V, IX drop=24 V. Approx ΔU% = 9.7391%, exact ΔU% = 9.8891% (voltage drop, U_no_load=252.7449 V).","metadata":{"input":{"ratedVoltage":230,"R":0.5,"X":1.2,"loadCurrent":20,"powerFactor":0.8,"loadType":"lagging"},"result":{"ratedVoltage_V":230,"resistance_R_ohm":0.5,"reactance_X_ohm":1.2,"loadCurrent_A":20,"powerFactor":0.8,"loadType":"lagging","phaseAngle_deg":36.8699,"IR_drop_V":10,"IX_drop_V":24,"regulation_approx_pct":9.7391,"regulation_exact_pct":9.8891,"noLoadVoltage_V":252.7449}}}
容性: U=230V, R=0.5Ω, X=1.2Ω, I=20A, cosφ=0.8 → 近似 ΔU%≈−2.78%,精确≈−2.17% 容性负载下 IX·sinφ 项取负。近似 ΔU%≈−2.78%,精确≈−2.17%。负值表示电压上升。{"result":"Voltage regulation (capacitive (leading)), U=230 V, I=20 A, cosφ=0.8, φ=36.8699°. IR drop=10 V, IX drop=24 V. Approx ΔU% = -2.7826%, exact ΔU% = -2.1671% (voltage rise, U_no_load=225.0156 V).","metadata":{"input":{"ratedVoltage":230,"R":0.5,"X":1.2,"loadCurrent":20,"powerFactor":0.8,"loadType":"leading"},"result":{"ratedVoltage_V":230,"resistance_R_ohm":0.5,"reactance_X_ohm":1.2,"loadCurrent_A":20,"powerFactor":0.8,"loadType":"leading","phaseAngle_deg":36.8699,"IR_drop_V":10,"IX_drop_V":24,"regulation_approx_pct":-2.7826,"regulation_exact_pct":-2.1671,"noLoadVoltage_V":225.0156}}}