Optimum Dispatch of Active and Reactive Generation by Quadratic Programming

• Published in: IEEE transactions on power apparatus and systems Vol. PAS-92; no. 2; pp. 644 - 654
• Main Authors: Nicholson, H., H. Sterling, M. J.
• Format: Journal Article
• Language: English
• Published: IEEE 01.03.1973
• Subjects: Computational modeling; Cost function; Linear programming; Load flow analysis; Power transmission lines; Propagation losses; Quadratic programming; Reactive power; Spectral analysis; Voltage
• ISSN: 0018-9510
• DOI: 10.1109/TPAS.1973.293768

Optimum scheduling of generation subject to constraints on maximum and minimum levels and rates of change of generation, spare capacity and line flow limits, is studied. A linear programming formulation for system constraints is used with a quadratic cost function for generation and transmission line loss. An optimal solution for real power dispatch is obtained by quadratic programming, and optimum allocation of reactive power is based on a gradient technique which minimises transmission loss subject to nodal voltage and reactive power limits. An ac load flow analysis is incorporated together with a load prediction program based on a spectral analysis of past load data. The feasibility of simulating the overall system problem, including load-frequency control of equivalent generation, using a combined analogue-digital process computer system linked to a large scientific digital computer by data link is investigated.