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Waveform relaxation methods for the simulation of systems of differential algebraic equations with applications to electric power systems.

机译:用于微分代数方程组系统仿真的波形松弛方法及其在电力系统中的应用。

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摘要

This thesis reports the continuing effort towards establishing a parallel numerical algorithm known as Waveform Relaxation (WR) for simulating large power system dynamics. Past work has shown the feasibility of this method for frequency studies involving the classical model generator and loads modeled as constant impedances. This work has been expanded to include voltage studies where the loads are modeled as constant power loads and the load terminals are kept intact, yielding a set of differential/algebraic equations (DAEs). In addition to power systems, systems of differential/algebraic equations arise in connection with singular perturbation, control theory, robot systems, and many other applications in the fields of mechanical and chemical engineering, economics, and physics. The main contribution of this thesis is to define and prove conditions under which the waveform relaxation algorithm for a general system of DAEs will converge. The algorithm is then tailored for the simulation of large-scale power systems. Power systems are shown to exhibit several dynamic characteristics which make them suitable for simulation by the waveform relaxation algorithm. One of the main contributions in this area includes a method for determining a fault-dependent partitioning of the power system for parallel implementation. Simulation results for small, medium, and large test systems are included.
机译:本文报告了为建立并行数值算法(称为波形弛豫(WR))以模拟大型电力系统动力学所做的持续努力。过去的工作表明,该方法在涉及经典模型生成器和建模为恒定阻抗的负载的频率研究中是可行的。这项工作已经扩展到包括电压研究,在该研究中,将负载建模为恒定功率负载,并保持负载端子完好无损,从而产生一组微分/代数方程式(DAE)。除动力系统外,微分/代数方程组还与奇异摄动,控制理论,机器人系统以及机械和化学工程,经济学和物理学领域的许多其他应用相关。本文的主要贡献是定义和证明了通用DAE系统的波形松弛算法收敛的条件。然后,针对大规模电力系统的仿真量身定制该算法。示出的电力系统表现出几种动态特性,使其适合于通过波形松弛算法进行仿真。该领域的主要贡献之一是一种用于确定电力系统故障相关分区以进行并行实现的方法。包括小型,中型和大型测试系统的仿真结果。

著录项

  • 作者

    Crow, Mariesa Louise.;

  • 作者单位

    University of Illinois at Urbana-Champaign.;

  • 授予单位 University of Illinois at Urbana-Champaign.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 1990
  • 页码 192 p.
  • 总页数 192
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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