A decoupled time-domain Simulation method via Invariant subspace partition for power system analysis

A decoupled method is proposed to deal with time-domain simulation for power system dynamic analysis. Traditionally, there are two main categories of numerical integration methods: explicit methods and implicit methods. The implicit methods are numerically stable but require more computational time...

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Bibliographic Details
Published inIEEE transactions on power systems Vol. 21; no. 1; pp. 11 - 18
Main Authors Yang, D., Ajjarapu, V.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2006
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
A-stability
Algorithms
Analytical models
Computational modeling
Computer simulation
decoupled method
differential and algebraic equations (DAE)
dynamical simulation
explicit methods
Hybrid power systems
Implicit methods
invariant subspace partition
Invariants
Mathematical analysis
Mathematical models
Nonlinear equations
Numerical stability
Partitions
Power system analysis computing
Power system dynamics
Power system simulation
Power system stability
power systems
stiff systems
Studies
Subspaces
Time domain analysis
time-domain simulation
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Summary:A decoupled method is proposed to deal with time-domain simulation for power system dynamic analysis. Traditionally, there are two main categories of numerical integration methods: explicit methods and implicit methods. The implicit methods are numerically stable but require more computational time to solve the nonlinear equations, while explicit methods are relatively efficient but may cause a numerical stability problem. This paper proposes a new hybrid method to take advantage of both explicit and implicit methods based on the invariant subspace partition. The original power system equations are decoupled into two parts that correspond to the stiff and nonstiff subspaces. For the stiff invariant subspace, the implicit method is applied to achieve numerical stability, and the explicit method is employed to handle nonstiff invariant subspace for the computational efficiency. As a result, the new hybrid method is both numerically stable and efficient. The approach is demonstrated through New England 39-bus and IEEE 118-bus systems.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2005.860937