非线性电路频域的功率平衡  

Power Balance of Frequency Domain in Nonlinear Circuits

作　　者：梁永清[1] 黄炳华[1] 

机构地区：[1]广西大学电气工程学院,南宁530005

出　　处：《太原理工大学学报》2014年第3期328-333,共6页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(60662001)

摘　　要：当网络中具有压控非线性电导与电感,非线性导纳消耗的k次谐波复功率与非k次谐波电压成份有关。非自治电路有时包含有自激和强迫两个振荡分量,两个谐波成份要成为方程的组合解,要同时各自满足功率平衡条件。一方面两个振荡分量存在有非线性耦合的相互影响,笔者介绍各个谐波成份之间的相互耦合理论。另一方面网络中每一谐波分量都要各自遵守KCL、KVL及复功率守恒。这是各种电路定律从时域推进到频域的结果。当强迫源足够大时,原来存在的自激分量uh(t)会因而消失,只剩下一个强迫分量up(t),自振荡是否存在可以用自振分量功率平衡方程验证。For nonlinear circuit networks which comprise multi-harmonic components, the power balance principle of frequency domain was introduced, and its applications in nonlinear oscillations were also described in this paper. When the networks comprise nonlinear voltage-controlled conductance and inductance, k-harmonic complex power consumed by nonlinear admittance is related to non-k-harmonic voltage components. Non-autonomous circuits sometimes include two components, the self-excited oscillations and forced oscillations. These two harmonic components become the combination solutions of equations only if they satisfy individually the power balance condition simultaneously. One aspect, mutual nonlinear coupling influences exist between self-excited and forced oscillation components. The mutual coupling theory among various harmonic components was introduced in this paper. Another aspect, each one of the oscillation components in the network must obey individually KCL, KVL and conservation of complex power. This is a result when various circuit laws proceed from time domain to frequency domain. When the forcing source is strong enough, the originally existing self-excited oscillation Uh （t） will disappear, leaving only a forced component Up （t）. The existence of self-excited oscillation can be judged by the balance equation of power of self-oscillation components.

关 键 词：特勒根定理 复功率 非自治电路 功率平衡 振荡 

分 类 号：TN711[电子电信—电路与系统]