Phase shifter placement in large-scale systems via mixed integer linear programming

• Published in: IEEE transactions on power systems Vol. 18; no. 3; pp. 1029 - 1034
• Main Authors: Lima, F.G.M., Galiana, F.D., Kockar, I., Munoz, J.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2003; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Active control; Combinatorial analysis; Control systems; Large-scale systems; Linear programming; Load flow; Mixed integer; Mixed integer linear programming; Networks; Optimal control; Phase shifters; Placement; Position (location); Power system modeling; Power system simulation; Thyristors; Transformers
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2003.814858

This paper makes use of advances in mixed integer linear programming (MILP) to conduct a preliminary design study on the combinatorial optimal placement of thyristor controlled phase shifter transformers (TCPSTs) in large-scale power systems. The procedure finds the number, network location, and settings of phase shifters that maximize system loadability under the DC load flow model, subject to limits on the installation investment or total number of TCPSTs. It also accounts for active flow and generation limits, and phase shifter constraints. Simulation results are presented for the IEEE 24-, 118-, and 300-bus systems, as well as a 904-bus network. The principal characteristics of our approach are compared with those of other published flexible AC system transmission (FACTS) allocation methods.