Abstract The node admittance/impedance matrix has become a common resonance analysis tool because of its clear physical meaning and intuitive presence of interaction. However, the node admittance/impedance matrix couldn′t fully describe system resonance since it neglects the disturbance source characteristics. For the scenario where the power supply is connected through converters, the node injection current is an equivalent current source, and the corresponding disturbance source on the input side might be a voltage source or other types of controlled source. Analyzing resonance merely by the node admittance/impedance matrix ignores the influence of the disturbance source output characteristics, which may lead to deviation in the analysis results, even the omission of resonance points. In this paper, the disturbance source transfer function is defined as the corresponding relationship between the source at the input side and the equivalent current source at the output side of the converter, taking the source at the input side as independent variables, the equivalent impedance model of the converter is established and the system impedance matrix is also modified. A modified impedance model considering the disturbance source transfer function is proposed from the system scale, and the influence mechanism of the disturbance source output characteristics on the resonance is revealed: the disturbance source transfer function acts on the impedance matrix array vector of the node in which it is located, which may introduce new resonance points to the system, and affects the accuracy of the resonance analysis. In addition, the source transfer function is homologous to the equivalent impedance of the converter, that is, the way the converter acts on the system resonance is not unique. Therefore, it is difficult to explain the resonance mechanism and influence degree of the converter by system-level resonant analysis, further research on the parameter scale is also needed. As one of the influencing factor analysis methods, modal sensitivity can quantify the influence of parameters and guide resonance suppression, which has been widely applied in mechanical and electrical fields. However, application scenarios of the existing methods are merely limited to the traditional AC systems, corresponding calculation methods for converters and control parameters inside are not discussed. Therefore, based on the modified system impedance model, from the component parameter scale, this paper proposes a modal sensitivity calculation method for converters, which quantifies the influence of the disturbance source output characteristics on resonance, expands the application field of modal sensitivity to the DC distribution network with converters. The proposed modal sensitivity calculation method is not affected by the scale of parameter changes, which could quantify the resonance influence degree of global influencing factors, providing guidance for resonance suppression. In practical applications, when there are multiple converters connected to the system, in order to reduce the amount of calculation, sensitivity analysis only needs to be carried out on the internal parameters of the high-sensitivity converter, so as to narrow the scope of analysis. Finally, the simulation model of a DC distribution network is built through PSCAD/EMTDC to analyze the resonance characteristics of the disturbance source transfer function, quantify the influence of converter parameters on the system resonance characteristics, and verify the effectiveness of the two scales proposed analysis method.
Wang Yingxin,Xu Yonghai,Tao Shun等. DC Distribution System Resonance Characteristics Analysis Method Considering the Output Characteristics of the Perturbation Source[J]. Transactions of China Electrotechnical Society, 2023, 38(7): 1723-1736.
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2023, Vol. 38 
