期刊
IEEE TRANSACTIONS ON POWER SYSTEMS
卷 36, 期 2, 页码 1373-1384出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2020.3017019
关键词
Mathematical model; Numerical models; Computational modeling; Libraries; Analytical models; Tools; Open source software; Power systems; open-source; DAE modeling; symbolic calculation; time-domain simulation; ANDES library
资金
- Engineering Research Center Program of the National Science Foundation
- Department of Energy under NSF [EEC-1041877]
- CURENT Industry Partnership Program
This paper proposes a hybrid symbolic-numeric framework ANDES for power system DAE modeling and simulation, which can mix modeling components for descriptive modeling and numerical computation; the framework includes discontinuous components and standard transfer function blocks, and can automatically generate numerical simulation code and provide high-quality documentation.
With the recent proliferation of open-source packages for computing, power system differential-algebraic equation (DAE) modeling and simulation are being revisited to reduce the programming efforts. Existing open-source tools require manual efforts to develop code for numerical equations, sparse Jacobians, and discontinuous components. This paper proposes a hybrid symbolic-numeric framework, exemplified by an open-source Python-based library ANDES, which consists of a symbolic layer for descriptive modeling and a numeric layer for vector-based numerical computation. This method enables the implementation of DAE models by mixing and matching modeling components, through which models are described. In the framework, a rich set of discontinuous components and standard transfer function blocks are provided besides essential modeling elements for rapid modeling. ANDES can automatically generate robust and fast numerical simulation code, as well as and high-quality documentation. Case studies present a) two implementations of turbine governor model TGOV1, b) power flow computation time break down for MATPOWER systems, c) validation of time-domain simulation with commercial software using three test systems with a variety of models, and d) the full eigenvalue analysis for Kundur's system. Validation shows that ANDES closely matches the commercial tool DSATools for power flow, time-domain simulation, and eigenvalue analysis.
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