Quantum-Inspired Evolutionary Algorithm for Real and Reactive Power Dispatch

This paper presents an evolutionary algorithm based on quantum computation for bid-based optimal real and reactive power (P-Q) dispatch. The proposed quantum-inspired evolutionary algorithm (QEA) has applications in various combinatorial optimization problems in power systems and elsewhere. In this paper, the QEA determines the settings of control variables, such as generator outputs, generator voltages, transformer taps and shunt VAR compensation devices for optimal P-Q dispatch considering the bid-offered cost. The algorithm is tested on the IEEE 30-bus system, and the results obtained by the QEA are compared with those obtained by other modern heuristic techniques: ant colony system (ACS), enhanced GA and simulated annealing (SA) as well as the original QEA. Furthermore, in order to demonstrate the applicability of the proposed QEA, it is also implemented in a different problem, which is to minimize the real power losses in the IEEE 118-bus transmission system. The comparisons demonstrate an improved performance of the proposed QEA.

[1]  G. Lambert-Torres,et al.  Increasing the loadability of power systems through optimal-local-control actions , 2004, IEEE Transactions on Power Systems.

[2]  K. Bhattacharya,et al.  Reactive Power as an Ancillary Service , 2001, IEEE Power Engineering Review.

[3]  G. Chicco,et al.  Unbundled Reactive Support Service: Key Characteristics and Dominant Cost Component , 2002, IEEE Power Engineering Review.

[4]  R. Feynman Simulating physics with computers , 1999 .

[5]  Chun-Chang Liu,et al.  Multi-objective VAR Planning Using An Interactive Satisfying Method , 1995 .

[6]  A. El-Keib,et al.  Calculating short-run marginal costs of active and reactive power production , 1997 .

[7]  Jong-Hwan Kim,et al.  Genetic quantum algorithm and its application to combinatorial optimization problem , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[8]  Tony Hey,et al.  Quantum computing: an introduction , 1999 .

[9]  João Tomé Saraiva,et al.  Bid-based coupled active/reactive dispatch using simulated annealing , 2004 .

[10]  V.M. Dona,et al.  Reactive power pricing in competitive electric markets using the transmission losses function , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[11]  Shangyou Hao,et al.  Reactive power pricing and management , 1997 .

[12]  J.G. Vlachogiannis,et al.  A Comparative Study on Particle Swarm Optimization for Optimal Steady-State Performance of Power Systems , 2006, IEEE Transactions on Power Systems.

[13]  Kit Po Wong,et al.  Combined genetic algorithm/simulated annealing/fuzzy set approach to short-term generation scheduling with take-or-pay fuel contract , 1996 .

[14]  Ying-Tung Hsiao,et al.  A computer package for optimal multi-objective VAr planning in large scale power systems , 1993 .

[15]  George Cybenko,et al.  Reducing quantum computations to elementary unitary operations , 2001, Comput. Sci. Eng..

[16]  Kwang Y. Lee,et al.  Optimal real and reactive power dispatch , 1984 .

[17]  Tad Hogg,et al.  Quantum optimization , 2000, Inf. Sci..

[18]  P. Benioff The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines , 1980 .

[19]  Vassilios Petridis,et al.  Optimal power flow by enhanced genetic algorithm , 2002 .

[20]  Na Li,et al.  Novel Quantum Genetic Algorithm and Its Applications , 2012, ICNC.

[21]  Barenco,et al.  Elementary gates for quantum computation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[22]  한국현,et al.  Quantum-inspired evolutionary algorithm = 양자 개념을 도입한 진화 알고리즘 , 2003 .

[24]  Jong-Hwan Kim,et al.  Quantum-inspired evolutionary algorithms with a new termination criterion, H/sub /spl epsi// gate, and two-phase scheme , 2004, IEEE Transactions on Evolutionary Computation.

[25]  David J. Hill,et al.  Designing ancillary services markets for power system security , 2000 .

[26]  Ajit Narayanan,et al.  Quantum-inspired genetic algorithms , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[27]  Kwang Y. Lee,et al.  Optimization method for reactive power planning by using a modified simple genetic algorithm , 1995 .

[28]  E.L. da Silva,et al.  Practical cost-based approach for the voltage ancillary service , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[29]  H. Abele,et al.  Investigation of the Neutron Quantum States in the Earth’s Gravitational Field , 2005, Journal of research of the National Institute of Standards and Technology.

[30]  N. Swamy,et al.  Finding a better-than-classical quantum AND/OR algorithm using genetic programming , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[31]  Mohamed Batouche,et al.  A Quantum-Inspired Differential Evolution Algorithm for Rigid Image Registration , 2004, International Conference on Computational Intelligence.

[32]  Hong-Tzer Yang,et al.  Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions , 1996 .

[33]  Jong-Hwan Kim,et al.  Quantum-inspired evolutionary algorithm for a class of combinatorial optimization , 2002, IEEE Trans. Evol. Comput..

[34]  N. H. Dandachi,et al.  OPF for reactive pricing studies on the NGC system , 1995 .

[35]  John G. Vlachogiannis,et al.  Block matrices and their applications in power systems , 1993 .

[36]  Yuan-Lin Chen,et al.  Weak bus-oriented optimal multi-objective VAr planning , 1996 .

[37]  R. Feynman Quantum mechanical computers , 1986 .

[38]  Kwang Y. Lee,et al.  Optimal operation of large-scale power systems , 1988 .

[39]  Kwang Y. Lee,et al.  Ant colony optimization for active/reactive operational planning , 2005 .

[40]  Enrico Blanzieri,et al.  QGA: a Quantum Genetic Algorithm , 2004 .

[41]  K. Igeta,et al.  Quantum mechanical computers with single atom and photon fields , 1988 .

[42]  T. Martinez,et al.  Initializing the Amplitude Distribution of a Quantum State , 1998, quant-ph/9807054.