N个并联直流电源的等效电源的3种推导方法——并联交/直流电源的一个等效定理及其推广

THREE APPROACHES TO DERIVE THE EQUIVALENT POWER SOURCE FOR N PARALLEL DIRECT POWER SOURCES

本文运用等效电压源定理(戴维宁定理),等效电流源定理(诺尔顿定理)以及直流电路的叠加原理,并结合数学归纳法,总结出3种途径用以推导N个并联直流电源的等效电动势与等效内阻,并以定理形式表达,最后对这一定理的适用范围作了推广;并对其能否向交流电路推广作了前瞻性的思考.

The equivalent voltage source theorem and the equivalent current source theorem,the principle of superposition for a linear direct current circuit,and the mathematical induction method were applied in this paper to conclude three approaches to derive the equivalent electromotive force and the equivalent inner resistance for N parallel direct power sources.These results were expressed in the form of theorems.At last,we extended our theorem to the case of parallel powers mixed with parallel resistors,and did forward thinking of whether this theorem can be extended to the alternating current circuits.