Antoine Gravel-Savard, Maarouf Saad, Pierre-Jean Lagacé, Dalal Asber, and Serge Lefebvre
Voltage control, electrical distance, network partitioning, voltage regulation area
This paper presents three methods to obtain an electrical distance (ED) measure that is applied to divide a power network into voltage control areas (VCA). The analysis of the ED measures is based on a comparison of their mathematical definition and their evaluation of the VCA on the IEEE 39 bus test system. To evaluate the coupling between VCA, the present paper proposes a new method by calculating an ED between areas using conditional entropy. This measurement, together with a satisfaction index proposed in the literature, the cluster tightness index (CTI), provides a better understanding of the VCA partitions. The usefulness of a new evaluation criterion is its capacity to evaluate separately the influence between every area as well as compensating the CTI lack to identify the appropriate number of areas in a partition. The results are presented for the IEEE 39 bus and IEEE 118 bus systems, showing the advantage of using the proposed evaluation criteria.
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