A decoupled time-domain Simulation method via Invariant subspace partition for power system analysis
A decoupled time-domain Simulation method via Invariant subspace partition for power system analysis
复制标题
用于电力系统分析的基于不变子空间划分的解耦时域仿真方法
DOI：
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复制
发表时间：
2006
影响因子：
6.6
通讯作者：
V. Ajjarapu
中科院分区：
文献类型：
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作者：
D. Yang;V. Ajjarapu
提出了一种用于电力系统动态分析的解耦方法。传统的数值积分方法主要有两类：显式方法和隐式方法。隐式方法数值稳定，但需要较长的计算时间来求解非线性方程组，而显式方法相对有效，但可能会导致数值稳定性问题。提出了一种基于不变子空间划分的显式和隐式相结合的混合方法。将原电力系统方程解耦为两部分，分别对应于刚性和非刚性子空间。对于刚性不变子空间，采用隐式方法实现数值稳定性，采用显式方法处理非刚性不变子空间，以提高计算效率。结果表明，新的混合方法在数值上是稳定的，也是有效的。通过新英格兰39母线和IEEE118母线系统对该方法进行了验证。
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.