Abstract
This paper discusses a nonlinear programming problem which arises when the optimum scheduling of an electric power system is being considered. A realistic, moderately large text example is described in detail; and the solution of this example by a recent method based on quadratic programming is also reported.
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M.C. Biggs, “Constrained minimisation using recursive equality quadratic programming”. In: F.A. Lootsma, ed.,Numerical methods for nonlinear optimisation (Academic Press, New York, 1972).
M.C. Biggs, Ph.D. Thesis, University of London (1974).
M.C. Biggs, “Constrained minimisation using recursive quadratic programming: some alternative subproblems”, in: L.C.W. Dixon, G.P. Szegö, eds.,Towards global optimisation (North-Holland, Amsterdam, 1975).
T.S. Dillon and K. Morstzyn, “Active and reactive load scheduling in a thermal power system in the presence of tap changing transformers using nonlinear programming”,Transactions of the IEAEE, EE8 (1972) 2.
H.W. Dommel and W.F. Tinney, “Optimal power flow solutions”, IEEE Winter Power meeting, New York, 1968.
A.V. Fiacco and G.P. McCormick,Nonlinear programming — sequential unconstrained minimisation techniques (John Wiley, New York, 1968).
R.S. Martin, G. Peters and J.H. Wilkinson, “Symmetric decomposition of a positive definite matrix”.Numerische Mathematik 7 (1965) 362.
W. Murray, “An algorithm for constrained minimisation”, in: R. Fletcher, ed.,Optimisation (Academic Press, New York, 1968).
A.M. Sasson, E. Viloria and F. Aboytes, “Optimal load flow using the Hessian matrix”, presented at PICA conference, Boston, 1971.
C.M. Shen and M.A. Laughton, “Determination of optimum power system operating conditions under constraints”,Proceedings of the IEEE 116 (1969) 225.
R. Fletcher, “An ideal penalty function for constrained optimisation”, AERE Harwell Report CSS 2 (1973).
M.C. Biggs, “A numerical comparison between two approaches to the nonlinear programming problem”, Numerical Optimisation Centre, Hatfield Polytechnic, Tech. Rept. 77 (1976).
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Biggs, M.C., Laughton, M.A. Optimal electric power scheduling: A large nonlinear programming test problem solved by recursive quadratic programming. Mathematical Programming 13, 167–182 (1977). https://doi.org/10.1007/BF01584335
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DOI: https://doi.org/10.1007/BF01584335