OPTIMAL CAPACITOR PLACEMENT, REPLACEMENT AND CONTROL IN LARGE-SCALE UNBALANCED DISTRIBUTION-SYSTEMS - SYSTEM SOLUTION ALGORITHMS AND NUMERICAL-STUDIES

This paper develops an effective and, yet, practical solution methodol ogy for optimal capacitor placement, replacement and control in large- scale unbalanced, general radial or loop distribution systems. The sol ution methodology can optimally determine (i) the locations to install (or replace, or remove) capacitors, (ii) the types and sizes of capac itors to be installed (or replaced) and, during each load level, (iii) the control schemes for each capacitor in the nodes of a general thre e-phase unbalanced distribution system such that a desired objective f unction is minimized while the load constraints, network constraints a nd operational constraints at different load levels are satisfied. The solution methodology is based on a combination of the simulated annea ling technique and the greedy search technique in order to achieve com putational speed and high-quality of solutions. Both the numerical and implementational aspects of the solution methodology are detailed. An alysis of the computational complexity of the solution algorithm indic ates that the algorithm is also effective for large-scale distribution systems in terms of computational efforts. Test results on a realisti c, unbalanced distribution network, a 291-bus with 77 laterals, 305 di stribution lines and 6 transformers, with varying loading conditions, are presented with promising results. The robustness of the solution m ethodology under varying loading conditions is also investigated.