Two Area Power Systems Economic Dispatch Problem Solving Considering Transmission Capacity Constraints

This paper describes an efficient and practical method for economic dispatch problem in one and two area electrical power systems with considering the constraint of the tie transmission line capacity constraint. Direct search method (DSM) is used with some equality and inequality constraints of the production units with any kind of fuel cost function. By this method, it is possible to use several inequality constraints without having difficulty for complex cost functions or in the case of unavailability of the cost function derivative. To minimize the number of total iterations in searching, process multi-level convergence is incorporated in the DSM. Enhanced direct search method (EDSM) for two area power system will be investigated. The initial calculation step size that causes less iterations and then less calculation time is presented. Effect of the transmission tie line capacity, between areas, on economic dispatch problem and on total generation cost will be studied; line compensation and active power with reactive power dispatch are proposed to overcome the high generation costs for this multi-area system.

Authors:

• M. Zarei
• A. Roozegar
• R. Kazemzadeh
• J.M. Kauffmann

Keywords:

• Economic dispatch
• Power System Operation
• Direct Search Method
• Transmission Capacity Constraint.

References:

[1] C. L. Chen and N. Chen, "Direct Search Method for Solving Economic
Dispatch Problem Considering Transmission Capacity Constraints,"
IEEE Trans. Power Systems, vol. 16, no. 4, pp. 764-769, November
2001.
[2] D. Chattopadhyay, "Daily generation scheduling: Question for new
models," IEEE Trans. Power Systems, vol. 13, no. 2, pp. 624-629, May
1998.
[3] J. J. Shaw, "A direct method for security-constrained unit commitment,"
IEEE Trans. on Power Systems, vol. 10, no. 3, pp. 1329-1339, Aug.
1995.
[4] R. Baldick, "The generalized unit commitment problem," IEEE Trans.
Power Systems, vol. 10, no. 1, pp. 465-475, Feb. 1995.
[5] D. Streiffert, "Multi-area economic dispatch with tie line constraints,"
IEEE Trans. Power Systems, vol. 10, no. 4, pp.1946-1951, Nov.1995.
[6] T. Yalcinoz and M. J. Short, "Neural networks approach for solving
economic dispatch problem with transmission capacity constraints,"
IEEE Trans. Power Systems, vol. 13, no. 2, pp. 307-313, May 1998.
[7] Q. Xia,Y. H. Song, B. Zhang, C. Kang, and N. Xiang, "Dynamic
queuing approach to power system short term economic and security
dispatch," IEEE Trans. Power Systems, vol. 13, no. 2, pp. 280-285, May
1998.
[8] A. J.Wood and B. F.Wollenberg, Power Generation Operation and
Control. New York: John Wiley & Sons, Inc., 1984.
[9] H.Saadat, Power System Analysis. Second Edition, 2002, McGraw-Hill
Higher Education (ISBN 0-07-284-869-3).
[10] W.Stevenson, Element of Power System Analysis. Fourth Edition,
McGraw-Hill 2002.