Synchronous generator system is a complicated dynamical 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.

翻译：同步发电机系统是一类用于能量传输的复杂动力系统，在现代工业生产中具有重要作用。本文针对基于次同步谐振第一基准模型的发电机系统，提出若干预测-校正方法与结构保持方法，其中结构保持方法能够保持与所谓端口哈密顿描述系统相关联的Dirac结构。为阐明这一点，我们推导了形如指标1微分代数方程的简化发电机系统。我们的分析为名为Gauss方法的一类特殊结构保持方法提供了全局误差估计，从而证明了其在计算稳定性方面相较于PSCAD/EMTDC及预测-校正方法的优越性能。数值模拟验证了我们方法的有效性与优势。