Parallel-in-Time Power System Simulation Using a Differential Transformation Based Adaptive Parareal Method

Yang Liu, Byungkwon Park, Kai Sun, Aleksandar Dimitrovski, Srdjan Simunovic

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

For parallel-in-time simulation of large-scale power systems, this paper proposes a differential transformation based adaptive Parareal method for significantly improved convergence and time performance compared to a traditional Parareal method, which iterates a sequential, numerical coarse solution over extended time steps to connect parallel fine solutions within respective time steps. The new method employs the differential transformation to derive a semi-analytical coarse solution of power system differential-algebraic equations, by which the order and time step, as well as the window length with a multi-window solution strategy, can adaptively vary with the response of the system. Thus, the new method can reduce divergences and also speed up the overall simulation. Extensive tests on the IEEE 39-bus system and the Polish 2383-bus system have verified the performance of the proposed method.

Original languageEnglish
Pages (from-to)61-72
Number of pages12
JournalIEEE Open Access Journal of Power and Energy
Volume10
DOIs
StatePublished - 2023

Keywords

  • Differential transformation
  • Parareal
  • parallel algorithms
  • power system simulation
  • power system stability

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