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Fault Location Using Wide-Area Measurements and Sparse Estimation

机译:使用广域测量和稀疏估计进行故障定位

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This paper describes a fault location method which uses sparsely located wide-area synchronized phasor measurements. The main contribution is the way fault location is reformulated as a sparse estimation problem. Faulted system is modeled by equivalent terminal bus injections which would cause the same changes in bus voltages with the fault current drawn at any point along the faulted line. Once these injections are estimated, the fact that the ratio between equivalent injections at the two terminal buses depends only on the ratio of serial impedances on each side of the fault point can be used to locate the fault. It is shown that this formulation applies to both two terminal lines as well as teed lines regardless of fault type or resistance. Assuming availability of an accurate three-phase network model and a sufficient number of phasor measurements over the entire network, an underdetermined set of linear equations can be formed and then solved for the sparse equivalent bus injections. This is accomplished by applying two norm regularization optimization methods namely Lasso and overlapping group Lasso. Effectiveness of these methods are verified by extensive simulations.
机译:本文介绍了一种使用稀疏定位的广域同步相量测量的故障定位方法。主要的贡献是将故障定位重新构造为稀疏估计问题的方式。故障系统是通过等效的终端母线注入来建模的,这将导致母线电压发生相同的变化,并且故障电流会沿着故障线路的任何点汲取。一旦估计了这些注入,就可以使用两个终端总线上等效注入之间的比率仅取决于故障点每一侧的串联阻抗之比的事实来定位故障。结果表明,无论故障类型或电阻如何,该公式都适用于两条端子线以及四线。假设在整个网络上可以使用准确的三相网络模型和足够数量的相量,则可以形成一组欠定的线性方程,然后针对稀疏等效总线注入进行求解。这是通过应用两种范数正则化优化方法来实现的,即套索和重叠组套索。这些方法的有效性已通过广泛的仿真验证。

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