Effective numerical simulations of synchronous generator system

Jiawei Zhang, Aiqing Zhu, Feng Ji, Chang Lin, Yifa Tang
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Abstract

Synchronous generator system is a complicated dynamic system for energy transmission, which plays an important role in modern industrial production. In this article, we propose some predictor-corrector methods and structure-preserving methods for a generator system based on the first benchmark model of subsynchronous resonance, among which the structure-preserving methods preserve a Dirac structure associated with the so-called port-Hamiltonian descriptor systems. To illustrate this, the simplified generator system in the form of index-1 differential-algebraic equations has been derived. Our analyses provide the global error estimates for a special class of structure-preserving methods called Gauss methods, which guarantee their superior performance over the PSCAD/EMTDC and the predictor-corrector methods in terms of computational stability. Numerical simulations are implemented to verify the effectiveness and advantages of our methods.
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同步发电机系统的有效数值模拟
同步发电机系统是一种复杂的能量传输动态系统,在现代工业生产中发挥着重要作用。本文基于亚同步共振的第一个基准模型,针对发电机系统提出了一些预测-校正方法和结构保持方法,其中结构保持方法保留了与所谓端口-哈密尔顿描述子系统相关的狄拉克结构。为了说明这一点,我们导出了索引-1 微分代数方程形式的简化发电机系统。我们的分析为一类特殊的结构保留方法(称为高斯方法)提供了全局误差估计,保证了它们在计算稳定性方面优于 PSCAD/EMTDC 和预测-修正方法。通过数值模拟验证了我们方法的有效性和优势。
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