Power System Time Domain Simulation Using a Differential Transformation Method




Liu, Yang
Sun, Kai
Yao, Rui
Wang, Bin

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Institute of Electrical and Electronics Engineers


This paper proposes a novel approach for power system dynamic simulation based on the differential transformation (DT). The DT is introduced to study power systems as high-dimensional nonlinear dynamical systems for the first time, and is able to avoid computations of high-order derivatives with nonlinear differential equations by its transform rules. This paper, first, proposes and proves several new transform rules for generic nonlinear functions that often appear in power system models, and then uses these rules to transform representative power system models such as the synchronous machine model with trigonometric functions and the exciter model with exponential and square root functions. This paper also designs a DT-based simulation scheme that allows significantly prolonged time steps to reduce simulation time compared to a traditional numerical approach. The numerical stability, accuracy, and time performance of the proposed new DT-based simulation approach are compared with widely used numerical methods on the IEEE 39-bus system and Polish 2383-bus system.


This version is the accepted manuscript. See final published version at https://doi.org/10.1109/TPWRS.2019.2901654. © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.


differential transformation method, power system simulation, transient stability, numerical integration


Liu, Y., Sun, K., Yao, R., & Wang, B. (2019). Power System Time Domain Simulation Using a Differential Transformation Method. IEEE Transactions on Power Systems, 34(5), 3739-3748. doi:10.1109/TPWRS.2019.2901654


Electrical and Computer Engineering