Transient Stability Analysis of Electrical Power Systems using Polynomial Approximation based Galerkin Method

• Published in: 2023 5th International Conference on Power and Energy Technology (ICPET) pp. 1235 - 1240
• Main Authors: Li, Zhao, Khan, Wajid, Wang, Jiang, Yingxia, Wu, Chaohui, Wan, Renhai, Feng
• Format: Conference Proceeding
• Language: English
• Published: IEEE 27.07.2023
• Subjects: 3-Machine 9-Bus Power System; Behavioral sciences; Electrical Power System; Power system dynamics; Power system stability; Power transmission lines; PSCAD; Stability analysis; Trajectory; Transient analysis; Transient Stability Analysis
• DOI: 10.1109/ICPET59380.2023.10367566

Parametric problems in the transient analysis of power systems, refer to studying how changes in system parameters affect the dynamic behavior of the system. The dynamic behavior of a power system is characterized by the time-varying voltages, currents, and power flows, which are influenced by various parameters such as load demand, generation capacity, transmission line impedance, and control settings. To address these parametric problems, a proposed method based on the Galerkin method based polynomial approximation is introduced. The Galerkin method is used to determine coefficients that establish a relationship between the system parameters and the dynamic behavior. This allows for efficient and accurate approximation of the parametric transient trajectory using polynomial expressions. To evaluate the performance of the proposed method, it is tested on an IEEE 9 bus system and compared with existing processes. The results demonstrate that the proposed method significantly improves accuracy when there are significant parameter changes and strong system nonlinearity. Additionally, the method exhibits global controllable accuracy characteristics within the range of variable parameters.