Integer programming approach to the problem of optimal unit commitment with probabilistic reserve determination

IEEE Transactions on Power Apparatus and Systems

Volumn PAS-97, Issue 6, 1978, Pages 2154-2166

  Edwin, K W ^b   Kochs, H D ^b   Taud, R J ^b  

^a MONASH UNIVERSITY   (Australia)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL PROGRAMMING - APPLICATIONS; OPTIMIZATION - APPLICATIONS;

BRANCH AND BOUND METHOD; INTEGER PROGRAMMING; UNIT COMMITMENT;

ELECTRIC POWER SYSTEMS;

EID: 0018032040     PISSN: 00189510     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAS.1978.354719     Document Type: Article

References (39)

1. L.T. Anstine, J.H. Henderson, F.A. Cramer, F.A. Light, G.A. Pall, F.M. Reed, H.G. Steward and C.H. Wheeler, “Application of digital computer techniques to the economic scheduling of marginal generating units for the Pennsylvania-New Jersey-Maryland interconnection”, IEEE Transactions, Vol. PAS-83, no. 4, pp. 316–320, 1964.
2. A.K. Ayoub and A.D. Patton, “Optimal thermal generation unit commitment”, IEEE Transactions, Vol. PAS-90, no. 4, pp. 1752–1756, 1971.
3. C.J. Baldwin, K.M. Dale and R.F.Dittrich, “A study of the economic shutdown of generation units in daily dispatch”, AIEE Transactions, Vol. 78, part III, pp. 1272–1284, 1959.
4. R. Billinton, “Power System Reliability Evaluation”, New York, Gordon & Breach, 1970.
5. J.L. Carpentier, “Total injections method for the solution of the unit commitment problem including secure and optimal load flow”, 1973 PICA Paper TC VIII-EB, 1973.
6. T.S. Dillon, G.T. Egan, “The application of combinatorial methods to the problems of maintenance scheduling and unit commitment in large power systems”, IFAC Symposium on Large Scale System, Udine, Italy, June 1976.
7. T.S. Dillon and K. Morsztyn, “New developments in the optimal control of integrated (hydro-thermal) power systems including a comparison of different computational procedures”, 4th PSCC, paper 2.1/10, 1972.
8. T.S. Dillon, T. Tun, “Integration of the subproblems involved in the optimal economic operation of hydro-thermal systems including a comparison of computational methods of solution”, IFAC Symposium on Control & Management of Integrated Industrial Complexes, Toulouse, Sept. 1977.
9. J.C. Dodu, P. Martin, A. Merlin, J. Pouget, “An optimal formulation and solution of short-range operation problems for a power system with flow constraints”, Proc. IEEE, Vol. 60, No. 1, pp. 54–63, 1972.
10. J.F. Dopazo, H.M. Merrill, “Optimal generator maintenance scheduling using integer programming”, IEEE PES Winter Meeting, Paper C74, 162–164, New York, 1974.
11. K.W. Edwin, H.-D. Kochs, “Zur Frage der notwendigen Leistungsreserve in Verbundsystemen”, ETZ-A, H. 9, J.98, 1977.
12. K.W. Edwin, H.-D. Kochs, G. Traeder, “Reserve determination for the optimal composition of the generating system”, ECE-Symposium, Rome, Oct. 1977.
13. G.T. Egan, T.S. Dillon, K. Morsztyn, “An experimental method of determination of optimal maintenance scheduling in power systems using the branch and bound technique”, IEEE Systems, Man & Cybernetics, SMC6, 8, August 1976.
14. L.L. Garver, “Power generation scheduling by integer programming-development of theory”, AIEE Transactions paper 62-212, pp. 730–735, February 1963.
15. J.D. Guy, “Security constrained unit commitment”, IEEE Transactions, Vol. PAS-90, pp. 1385–1389, 1971.
16. H.H. Happ, R.C. Johnson and W.J. Wright, “Large scale hydro-thermal unit commitment — method and results”, IEEE Transactions, Vol. PAS-90, pp. 1373–1384, 1971.
17. K. Heuck, “Optimal scheduling of thermal power stations”, PSCC, paper no. 2.1/2, Grenoble, September 1972.
18. A.V. Jain and R. Billinton, “Unit commitment reliability in a hydro-thermal system”, IEEE PES Winter Meeting, paper C73 096-5, January 1973.
19. K. Kawatake, “Optimum commitment of thermal generating units”, Electrical Engineering in Japan, Vol. 89, no. 8, pp. 69–77 1969.
20. R.H. Kerr, J.L. Scheidt, A.J. Fontana and J.K. Wiley, “Unit commitment”, IEEE Trans. Vol. PAS-85, pp. 417–421, May 1966.
21. A.H. Land, A. Doig, “An automatic method of solving discrete programming problems”, Econometrica, Vol. 28, pp. 497–520, July 1960.
22. A.H. Land, S. Powell, “Fortran Codes for Mathematical Programming: Li near, Quadratic and Discrete”, J. Wiley & Sons, London, 1973.
23. P.G. Lowery, “Generating unit commitment by dynamic programming”, IEEE Trans., Vol. PAS-85, pp. 422–426, May 1966.
24. R.W. Martin, T.S. Dillon, “Soln, of the prob, of stochastic opt. cont. of hydrotherm, pwr. syst.” IFAC/IFIP Symp., Hague, June 1977.
25. J.A. Muckstadt, R.C. Wilson, “An applic. of mixed-integer prog, duality to sched. thermal gen. syst.”, IEEE PAS 87, pp. 1968–1978, 1968.
26. C.K. Pang, H.C. Chen, “Opt. short — term thermal unit commitment”, IEEE Wint Meet. January 1976.
27. C.M. Sarkisian, “Opt. distr. of load bet. aggregates of T.P.S.S.”, Isvestia, Academy Nuak, USSR Energetica & Transp., XVIII, No. 1, 27–36, 1965.
28. K. Theilsiefje, H. Wagner, “Dyn. prog.cal. meth. for a hydrotherm. load distribution” ETZ-A, H 4, page 116, 1965.
29. M. Udo, “Opt. of startup and shutdown of thermal units”, PSCC, Paper O.S.7, 1969.
30. R. Machate, R. Taud, “Prakt. Anford. an Verf. zur Tageseinsatzopt. bei deutschen EVU”, Jahresbericht 1976, FGE, Aachen, 1977.
31. J. Frohnholzer, “Charak. des Betriebs von Pumpspeicherw. für die Stromvers, der BRD” Energie, Jg. 25, Nr. 2, Feb. 1973.
32. P.G., Harhammer, “Wirt. Lastauft, auf Basis der Gem.-Ganzz. Planungsrechnung”, ÖZE, Jg. 29, H.3, März 1976.
33. G. Modemann, “Einsatzopt. von Wärmekraftw. mit beschr. Leistungsänderungsgeschw.”, Schriftenreihe des Energiewirtschaftlichen Instituts, Bd. 21, R.Oldenbourg Verlag, 1977.
34. J. A. Muckstadt, S. A. Koenig, “An Application of Lagrangian Relaxation to Scheduling in Power-Generating Systems”, Operations Research, Vol. 25, May/June 1977, pp. 387–403.
35. E. P. Hamilton II, “A Short Term Economy-Security Power System Operation Costs Model”. Ph.D. Dissertation, The University of Texas at Austin, 1977.
36. Gustavo Cuevas Leal, “Operation Economica de un Sistema Hidrotermico a Corto Plazo”, M. en I. Thesis. Division de Estudios Superiores de la Facultad de Ingenieria UNAM, Mexico, 1978.
37. K. W. Edwin, H. -D. Kochs, “Determination of the Operational Fast Reserve for Bulk Power Generation Systems,” 6th PSCC Conference 1978, August 21–25, 1978, Darmstadt, W. -Germany.
38. A. Geoffrion, “Lagrangian Relaxation for Integer Programming,” Math, Programming Studies, 2, 82–114 (1974).
39. Wilde, D. J. & Beightler, C.S. “Foundations of Optimization,” Prentice-Hall, N.J., 1967.