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Order Reduction of Power Systems by Modal Truncated Balanced Realization

机译:模态截断平衡实现的电力系统降阶

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摘要

In this paper, a general approach for constructing reduced-order models of power system models based on a truncated balanced realization (TBR) linear reduction procedure is described. The method enables efficient computation of Gramian covariance matrices in terms of the system frequency response, and it can be used for control design and sensitivity analysis. The method guarantees convergence of the controllability and observability Gramians and avoids the need for frequency sweep of the transfer function matrix. A key innovation for the TBR-based reduced-order models introduced in this paper is the use of modal information to approximate the controllability and observability Gramians. With this approach, the connection between the linear system modes and the Gramians is clarified, and the contribution of critical system motion modes to the collective dynamics is readily determined. Conditions for convergence of the model and approximation methods are then investigated, and the issues of accuracy, applicability, and computational effort are discussed. The technique is tested on two real-world test power systems.
机译:本文介绍了一种基于截断平衡实现(TBR)线性约简程序构造电力系统模型降阶模型的通用方法。该方法可以根据系统频率响应高效地计算Gramian协方差矩阵,并且可以用于控制设计和灵敏度分析。该方法保证了可控性和可观察性革兰氏度的收敛,并且避免了传递函数矩阵的频率扫描的需要。本文介绍的基于TBR的降阶模型的一项关键创新是使用模态信息来近似可控性和可观测性的Gramians。通过这种方法,阐明了线性系统模式与Gramians之间的联系,并很容易确定了关键系统运动模式对集体动力学的贡献。然后研究了模型收敛和近似方法的条件,并讨论了准确性,适用性和计算量的问题。该技术已在两个真实的测试电源系统上进行了测试。

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