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.

中文翻译：

---

同步发电机系统的有效数值模拟

同步发电机系统是一个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。在本文中，我们基于次同步谐振的第一个基准模型提出了一些用于发电机系统的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的端口哈密尔顿相关的狄拉克结构描述符系统。为了说明这一点，导出了指数 1 微分代数方程形式的简化生成器系统。我们的分析为一类特殊的结构保持方法（称为高斯方法）提供了全局误差估计，这保证了它们在计算稳定性方面优于 PSCAD/EMTDC 和预测校正方法。进行数值模拟来验证我们方法的有效性和优势。