Optimal operation of thermal systems with start-up costs

  • J. C. Geromel
  • L. F. B. Baptistella
Session 3 Utility Systems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)


An extension of the generalized Benders decomposition approach to solve the operation problem of electric power systems with thermal generation is proposed. The resulting minimal operation/start-up cost problem is partitioned into an economic dispatch problem and a pure integer non-linear programming problem. Some results regarding a numerical example are provided. Also, a multicriteria problem is defined in order to take into account a stochastic model for the electric demand.


Optimal Operation Electric Demand Thermal System Thermal Unit Production Deficit 
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8. References

  1. Arvanitidis, N.V. and Rosing, J. (1970). Optimal Operation of Multireservoir Systems Using a Composite Representation — IEEE Transactions on PAS, Vol. PAS 89, No 2.Google Scholar
  2. Baptistella, L.F.B. and Geromel, J.C. (1980). Decomposition Approach to the Problem of Unit Commitment Schedule for Hydrothermal Systems. Proceedings IEE, November.Google Scholar
  3. Baptistella, L.F.B. and Ollero, A. (1980). Fuzzy Methodologies for Interactive Multicriteria Optimization. IEEE Transactions on Systems, Man and Cybernetics, Vol. SMC-10, No 7.Google Scholar
  4. Bertsekas, D.P., Lauer, G.S., Sandell, Jr. N.R. and Posbergh, T.A. (1983). Optimal Short-Term Scheduling of Large-Scale Power Systems. IEEE Transactions on A.C. Vol. AC-28, No 1.Google Scholar
  5. Dillon, T.S., Edwin, K.W., Kochs, H.D. and Taud, R.J. (1978). Integer Programming Approach to the Problem of Optimal Unit Commitment with Probabilistic Reserve Determination. IEEE Transactions on PAS, Vol. PAS 97, No 6.Google Scholar
  6. Galiana, F.D., Handschin, E. and Fiechler, A.R. (1974). Identification of Stochastic Electric Load Models from Physical Data. IEEE Trans. on Automatic Control, Vol. AC-19, No 6.Google Scholar
  7. Geoffrion, A.M. (1972). Generalized Benders Decomposition, Journal of Optimization Theory and Applications, Vol. 10, No 4.Google Scholar
  8. Geromel, J.C. and Luna, H.P.L. (1981). Projection and Duality Techniques in Economic Equilibrium Models, IEEE Systems, Man and Cybernetics, Vol. SMC-11, No 5.Google Scholar
  9. Turgeon, A. (1978). Optimal Scheduling of Thermal Generating Units. IEEE Transactions on A.C., Vol. AC-23, No 6.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • J. C. Geromel
    • 1
  • L. F. B. Baptistella
    • 2
  1. 1.FEC/UNICAMPCampinas-SPBrasil
  2. 2.CPqD/TELEBRÁSCampinas-SPBrasil

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