Abstract
Parallel-in-time methods are emerging to accelerate the solution of time-consuming problems in different research fields. However, the complexity of power system component models brings challenges to realize the parallel-in-time power system electromagnetic transient (EMT) simulation, including the traveling wave transmission lines. This paper proposes a system-level parallel-in-time EMT simulation method based on traditional nodal analysis and the Parareal algorithm. A new interpretation scheme is proposed to solve the transmission line convergence problem. To integrate different kinds of traditional EMT models, a component-based EMT system solver architecture is proposed to address the increasing model complexity. An object-oriented C++ implementation is proposed to realize the parallel-in-time Parareal algorithm based on the proposed architecture. The results on the IEEE-118 test system show 2.30x speed-up compared to the sequential algorithm under the same accuracy with 6 CPU threads, and a high parallel efficiency around 40%. The performance comparison of various IEEE test cases shows that the system’s time-domain characteristics determine the speed-up of Parareal algorithm, and the delays in transmission lines significantly affect the performance of parallel-in-time power system EMT simulations.
Highlights
T HE electromagnetic transient (EMT) program, which simulates the temporary electromagnetic phenomena in the time domain such as voltage disturbances, surges, faults, and other transient behaviors in the power system, is essential for modern power system design and analysis [1]
There are some works can convert differential-algebraic equations (DAEs) to state-space forms [15], it dramatically increases the matrix size compared to nodal analysis; (2) Parareal can solve nonlinear DAEs according to aforementioned research works, traditional EMT model implementations often have a fixed-step assumption, which needs adaptions to be used in Parareal; (3) In power systems, the most important components are transmission lines
To address the aforementioned issues, this paper proposes a component-based system-level parallel-in-time power system EMT simulation algorithm based on the Parareal, which is implemented on the multi-core central processing unit (CPU) with object-oriented C++ programming
Summary
T HE electromagnetic transient (EMT) program, which simulates the temporary electromagnetic phenomena in the time domain such as voltage disturbances, surges, faults, and other transient behaviors in the power system, is essential for modern power system design and analysis [1]. There are some works can convert DAE to state-space forms [15], it dramatically increases the matrix size compared to nodal analysis; (2) Parareal can solve nonlinear DAEs according to aforementioned research works, traditional EMT model implementations often have a fixed-step assumption, which needs adaptions to be used in Parareal; (3) In power systems, the most important components are transmission lines. VOLUME 7, 2020 research, the proposed simulation program has the following advantages and features: 1) Based on highly abstracted component class, the system architecture is flexible and extensible to integrate different kinds of traditional EMT models of power system equipment into the parallel-in-time algorithm and maintain all the advantages from nodal analysis; 2) Initial support for delay differential equations. It can be proved that the Parareal algorithm is not limited to the solution of ODE problems, and is suitable for parallel-in-time EMT simulation
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