Oil
Shale, 2007, Vol. 24, No. 2 Special, pp. 249263
ECONOMICAL DISPATCH OF POWER UNITS UNDER FUZZINESS
M. VALDMA, M. KEEL, H. TAMMOJA, J. SHUVALOVA
The problem of economical dispatch of condensing power units on the basis of fuzzy information about units characteristics is considered in the paper. The goal of optimization is minimization of maximum losses caused by uncertainty and fuzziness of the initial information. The paper introduces fuzzy models of characteristics, presents a mathematical model of the problem, the conditions of optimality and the method of solution. Some examples of calculations are presented. Especially important is economical dispatch of power units at coal and oil shale-fired power plants.
1.
El-Havary, M. E.,
Christensen, G. S. Optimal Economic Operation
of Electric Power Systems. Academic Press, New York, 1979.
2.
Gornstein, V. M.,
Miroshnitchenko, V. P., Ponomarev, H. V. and others. Methods of Power System
Operation Optimization. Moscow, 1981 [in Russian].
3.
Wood, A. J.,
Wollenberg, B. F. Power Generation, Operation
and Control. John Wiley & Sons, New York, 1989.
4.
Valdma, M. One-stage
problems of power system operation optimization under incomplete information.
Academy of Sciences, USSR. Moscow, 1977 [in Russian].
5.
Keel, M.,
Lelumees, H., Mφller, K., Tammoja, H., Valdma, M. Consideration
of random factors in optimal scheduling of power systems // Proc. of
the symp. IFAC Comput. Application in Large Scale Power Systems, 1619 Aug.
1979. Vol. 3. New Delhi, India. Pergamon Press, 1980. P. 6875.
6.
Valdma, M.,
Keel, M., Liik, O., Tammoja, H.
Method for Minimax Optimization of Power System Operation // Proc. of
IEEE Bologna PowerTech 2003, 2326 June 2003, Bologna, Italy. Paper 252. P.
16.
7.
Keel, M.,
Liik, O., Tammoja, H., Valdma, M. Optimal planning of
generating power units in power system considering uncertainty of
information // Oil Shale. 2005. Vol.22, No.2 Special. P. 97108.
8.
El-Hawary, M. E. (Editor). Electric Power Applications of Fuzzy Systems.
IEEE Press, New York, 1998.
9.
Valdma, M.,
Shuvalova, J. Stochastic models of generating
units // Oil Shale. 2005. Vol. 22, No. 2 Special. P. 143151.
10.
Zadeh, L. A. Fuzzy Sets. Information and Control. 1965. Vol. 8. P. 338353.
doi:10.1016/S0019-9958(65)90241-X
11.
Ross, T. J. Fuzzy Logic.
John Wiley & Sons, 2004.
12.
Luce, R. D.,
Raiffa, H. Games and Decisions. New York, 1957.
13.
Bunn, D. W. Applied
Decision Analysis. McGraw-Hill Book Company, New York, 1984.
14.
Karlin, S. Mathematical
methods and theory in games, programming and economics. Pergamon Press,
London Paris, 1959.