TY - JOUR
T1 - Parallel-in-Time Power System Simulation Using a Differential Transformation Based Adaptive Parareal Method
AU - Liu, Yang
AU - Park, Byungkwon
AU - Sun, Kai
AU - Dimitrovski, Aleksandar
AU - Simunovic, Srdjan
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - Differential transformation
KW - Parareal
KW - parallel algorithms
KW - power system simulation
KW - power system stability
UR - http://www.scopus.com/inward/record.url?scp=85141624784&partnerID=8YFLogxK
U2 - 10.1109/OAJPE.2022.3220112
DO - 10.1109/OAJPE.2022.3220112
M3 - Article
AN - SCOPUS:85141624784
SN - 2687-7910
VL - 10
SP - 61
EP - 72
JO - IEEE Open Access Journal of Power and Energy
JF - IEEE Open Access Journal of Power and Energy
ER -