谐波源通用的非线性单端口网络矩阵模型

Matrix Model of Nonlinear Single-port Network for General Harmonic Sources

针对谐波源模型构建困难、现有模型精度低、适用范围受限等问题,该文从理论上导出一种谐波源通用的非线性单端口网络模型。文中阐释模型的导出过程,即基于端口时域电压及电流的微分方程关系,推演其频域下应遵循的耦合关系,进而建立非线性单端口网络的压控型模型和流控型模型。针对工程实际中非线性元件参数及网络拓扑未知的场景,给出模型参数的数值解法。最后,在MATLAB/Simulink环境下分别搭建复杂程度不同的谐波源网络对所提模型进行检验,并验证模型精度远高于现有的诺顿等效模型和交叉导纳矩阵模型。仿真结果表明,所提出的模型适用于非线性特征及网络拓扑各异的谐波源网络,模型精度高,参数求解方便。

In view of the difficulties in modeling harmonic source, the low accuracy of existing models and the limited scope of application, a general nonlinear single-port network model for harmonic sources was derived theoretically in this paper. Based on the differential equation of voltage and current in time domain, the coupling relationship in frequency domain was deduced, and the voltage-controlled model and the flow-controlled model of the nonlinear single-port network were established. Aiming at unknown parameters of nonlinear components and network topology in engineering practice, the numerical solution of model parameters was given in this paper. Finally, in the environment of MATLAB/Simulink, the harmonic source networks with different complexity were established to test the model, and the accuracy of the model was much higher than the existing Norton equivalent model and crossed frequency admittance matrix model. The simulation results show that the proposed model is suitable for harmonic source networks with different nonlinear characteristics and network topologies, and has high accuracy and convenient parameter solution.