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Optimal electric power scheduling: a large nonlinear programming test problem solved by recursive quadratic programming. (English) Zbl 0372.90111


MSC:

90C30 Nonlinear programming
90B35 Deterministic scheduling theory in operations research
90C20 Quadratic programming
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References:

[1] 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). · Zbl 0267.90078
[2] M.C. Biggs, Ph.D. Thesis, University of London (1974).
[3] 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). · Zbl 0312.90049
[4] 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.
[5] H.W. Dommel and W.F. Tinney, ”Optimal power flow solutions”, IEEE Winter Power meeting, New York, 1968.
[6] A.V. Fiacco and G.P. McCormick,Nonlinear programming – sequential unconstrained minimisation techniques (John Wiley, New York, 1968). · Zbl 0193.18805
[7] R.S. Martin, G. Peters and J.H. Wilkinson, ”Symmetric decomposition of a positive definite matrix”.Numerische Mathematik 7 (1965) 362. · Zbl 0135.37402 · doi:10.1007/BF01436249
[8] W. Murray, ”An algorithm for constrained minimisation”, in: R. Fletcher, ed.,Optimisation (Academic Press, New York, 1968).
[9] A.M. Sasson, E. Viloria and F. Aboytes, ”Optimal load flow using the Hessian matrix”, presented at PICA conference, Boston, 1971.
[10] C.M. Shen and M.A. Laughton, ”Determination of optimum power system operating conditions under constraints”,Proceedings of the IEEE 116 (1969) 225.
[11] R. Fletcher, ”An ideal penalty function for constrained optimisation”, AERE Harwell Report CSS 2 (1973). · Zbl 0278.90063
[12] 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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