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本文提出三个定理与三个推论,证明了线性非时变正弦稳态电路的功率能用迭加原理来计算的充要条件。分解独立源为初相位零与初相位90°的两个独立源,运用迭加原理,推导出化复数的代数运算为标量的代数运算来计算纯电阻(或纯电抗)线性非时变正弦稳态电路的电流、电压与有功功率(或无功功率)的方法,简化了计算。最后提出了线性非时变正弦稳态电路(包括直流稳态电路)的功率不能用迭加原理来计算的充要条件。
This paper presents three theorems and three inferences, which prove that the necessary and sufficient conditions for the power of linear time-invariant sinusoidal steady-state circuits to be calculated by the superposition principle. Decomposition of independent sources for the initial phase zero and the initial phase of 90 ° two independent sources, the use of superposition principle, the deduction of complex algebraic operations for the scalar algebra to calculate the pure resistance (or pure reactance) linear time-varying sinusoidal stability The calculation of the current, voltage and active power (or reactive power) of the state circuit simplifies the calculation. Finally, the sufficient and necessary conditions that the power of linear time-invariant sinusoidal steady-state circuit (including DC steady-state circuit) can not be calculated by superposition principle are proposed.