徐政，王世佳，邢法财，肖晃庆
ABSTRACT： With the increasing utilization of power electronic equipment in power systems, in recent years,a number of new oscillations with unknown mechanisms have emerged. This paper puts forward the concept of the electric network resonance stability, and tries to classify the unclear reason oscillations mentioned above into the electric network resonance instability category. Thus, many complex power system oscillations can be analyzed by the linear network theory, which provides an approach to solve the actual power system problems by the mathematically mature linear system theory. The objective of this paper is to establish a method for analyzing the electric network resonance stability. By introducing the s-domain nodal admittance matrix of the electric network, this paper transforms the discrimination of the electric network resonance stability into the distribution problem in complex plane of zero point of the determinant of the s-domain nodal admittance matrix. Firstly, it is proved that the zero points of the determinant of the s-domain nodal admittance matrix are actually the eigenvalues of the system. Secondly, we use the cross iteration method of the real part and the imaginary part of the zero point to solve the zero points of the determinant of the s-domain nodal admittance matrix. Thirdly, we derive the nodal voltage mode shape and the participation factor matrix corresponding to a particular resonance mode, which can be used to locate the resonant region of this particular resonance mode in the network. Finally, we illustrate the effectiveness of the proposed method for analyzing the resonance stability of electric networks by several studied cases.
