Simplified time-domain simulation of detailed long-term dynamic models
Simplified time-domain simulation of detailed long-term dynamic models
复制标题
详细长期动态模型的简化时域仿真
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
T. Van Cutsem
中科院分区：
文献类型：
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作者：
D. Fabozzi;T. Van Cutsem
电力系统长期动态的时域仿真涉及到非线性刚性微分代数方程的大型稀疏系统的解决方案。仿真工具传统上集中在解决方案的准确性，尽管有许多算法的改进，时间模拟仍然需要大量的计算工作。然而，在某些应用中，具有详细模型的近似系统响应就足够了。本文回顾了向后欧拉方法的优点，并提出了一种策略，以控制其步长，过滤掉快速稳定的振荡，并专注于系统的非周期行为的目标。所提出的方法相比，详细的模拟以及准稳态近似。说明性的例子给出了一个小的，但有代表性的系统，长期电压不稳定。
Time-domain simulation of power system long-term dynamics involves the solution of large sparse systems of nonlinear stiff differential-algebraic equations. Simulation tools have traditionally focused on the accuracy of the solution and, in spite of many algorithmic improvements, time simulations still require a significant computational effort. In some applications, however, it is sufficient to have an approximate system response of the detailed model. The paper revisits the merits of the Backward Euler method and proposes a strategy to control its step size, with the objective of filtering out fast stable oscillations and focusing on the aperiodic behaviour of the system. The proposed method is compared to detailed simulation as well as to the quasi-steady-state approximation. Illustrative examples are given on a small but representative system, subject to long-term voltage instability.