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:同步发电机系统的有效数值模拟
翻译后的摘要:
同步发电机系统是一种复杂的动力学系统,用于能量传输,在现代工业生产中起着重要作用。在本文中,我们针对第一个次同步共振基准模型的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的端口哈密顿描述符系统相关的Dirac结构。为了说明这一点,已经导出了形式为指标1微分代数方程的简化发电机系统。我们的分析为一类称为Gauss方法的特殊结构保持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-校正方法。数值模拟被实施以验证我们方法的有效性和优点。