Fast Power System Dynamic Simulation Using Continued Fractions

Date
2018-10-14
Authors
Liu, Chengxi
Wang, Bin
Sun, Kai
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers
Abstract

This paper proposes a novel method for power system dynamic simulation that solves power system differential algebraic equations by a semi-analytical and semi-numerical approach using continued fractions. The method implements a two-stage scheme to enhance online performance of simulation: the offline derivation stage finds approximate analytical solutions, so-called “semi-analytical solutions,” for state variables of dynamic devices, such as generators in the form of power series of time with symbolic coefficients about system conditions; the online evaluation stage substitutes values on actual system conditions for symbolic coefficients, then transforms the solution into a continued fraction to prolong its time interval of accuracy, and finally calculates the system’s trajectory over consecutive, adaptive time intervals for expected simulation results. A priori error bound for continued fractions is proposed to enable the simulation on adaptive time intervals. Compared with the conventional numerical simulation methods, the proposed continued fraction-based method has a fast simulation speed and a good suitability for parallel computing. The method is demonstrated and tested on the IEEE 9-bus system, the IEEE 39-bus system, and Polish 327-generator 2383-bus system.

Description
This version is the accepted manuscript. See final published version at https://doi.org/10.1109/ACCESS.2018.2876055. © 2018 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.
Keywords
continued fractions, differential algebraic equations, error bound, dynamic simulation
Citation
Liu, C., Wang, B., & Sun, K. (2018). Fast Power System Dynamic Simulation Using Continued Fractions. IEEE Access, 6, 62687-62698. doi:10.1109/ACCESS.2018.2876055
Department
Electrical and Computer Engineering