Bacterial foraging optimisation: Nelder–Mead hybrid algorithm for economic load dispatch
Bacterial foraging optimisation: Nelder–Mead hybrid algorithm for economic load dispatch
- Author(s): B.K. Panigrahi and V. Ravikumar Pandi
- DOI: 10.1049/iet-gtd:20070422
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): B.K. Panigrahi 1 and V. Ravikumar Pandi 1
-
-
View affiliations
-
Affiliations:
1: Department of Electrical Engineering, IIT Delhi, Delhi, India
-
Affiliations:
1: Department of Electrical Engineering, IIT Delhi, Delhi, India
- Source:
Volume 2, Issue 4,
July 2008,
p.
556 – 565
DOI: 10.1049/iet-gtd:20070422 , Print ISSN 1751-8687, Online ISSN 1751-8695
A novel stochastic optimisation approach to solve constrained economic load dispatch problem using hybrid bacterial foraging (BF) technique is presented. In order to explore the search space for finding the local minima of the current location, the simplex algorithm called Nelder–Mead is used along with BF algorithm. The proposed methodology easily takes care of solving non-convex economic dispatch problems along with different constraints such as transmission losses, dynamic operation constraints (ramp rate limits) and prohibited zones. Simulations were performed over various standard test systems with different number of generating units and comparisons are performed with other existing relevant approaches. The findings affirmed the robustness and proficiency of proposed methodology over other existing techniques.
Inspec keywords: stochastic processes; optimisation; power generation economics; power generation dispatch
Other keywords:
Subjects: Power system management, operation and economics; Other topics in statistics; Optimisation techniques
References
-
-
1)
- L.D.S. Coelho , V.C. Mariani . Erratum correlation to-combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve point effect. IEEE Trans. Power Syst. , 3
-
2)
- Eberhart, R.C., Shi, Y.: `Comparison between genetic algorithms and particle swarm optimization', Proc. IEEE Int. Conf. Evol. Comput., May 1998, p. 611–616.
-
3)
- A. Bakirtzis , V. Petridis , S. Kazarlis . Genetic algorithm solution to the economic dispatch problem. Proc. Inst. Electr. Eng. Gener. Transm. Distrib. , 4 , 377 - 382
-
4)
- P.H. Chen , H.C. Chang . Large-scale economic dispatch by genetic algorithm. IEEE Trans. Power Syst. , 4 , 1919 - 1926
-
5)
- Sheble, G.B., Brittig, K.: `Refined genetic algorithm–economic dispatch example', IEEE Paper 94 WM 199-0 PWRS, Presented at the IEEE/PES 1994, Winter Meeting.
-
6)
- Ma, H., El-Keib, A.A., Smith, R.E.: `A genetic algorithm-based approach to economic dispatch of power systems', IEEE Conf., 1994.
-
7)
- A.J. Wood , B.F. Wollenberg . (1996) Power generation, operation and control.
-
8)
- K.P. Wong , Y.W. Wong . Genetic and genetic/simulated – annealing approaches to economic dispatch. Proc. Inst. Electr. Eng. Gener. Transm. Distrib. , 5 , 507 - 513
-
9)
- D.B. Fogel . (2000) Evolutionary computation: toward a new philosophy of machine intelligence.
-
10)
- J.H. Park , Y.S. Kim , I.K. Eom , K.Y. Lee . Economic load dispatch for piecewise quadratic cost function using Hopfield neural network. IEEE Trans. Power Syst. , 1030 - 1038
-
11)
- K.Y. Lee , Y.M. Park , J.L. Ortiz . Fuel cost minimization for both real and reactive power dispatches. IEE Proc. C, Gener. Transm. Distrib. , 3 , 85 - 93
-
12)
- C.E. Lin , G.L. Viviani . Hierarchical economic dispatch for piecewise quadratic cost functions. IEEE Trans. Power Appar. Syst. , 1170 - 1175
-
13)
- R. Naresh , J. Dubey , J. Sharma . Two-phase neural networks based modeling framework of constrained economic load dispatch. IEE Proc., Gener. Transm. Distrib. , 3 , 373 - 378
-
14)
- Y. Liu , K.M. Passino . Biomimicry of social foraging bacteria for distributed optimization models, principles and emergent behaviors. J. Optim. Theory Appl. , 3 , 603 - 628
-
15)
- H.H. Happ . Optimal power dispatch – a comprehensive survey. IEEE Trans Power Appar. Syst. , 841 - 854
-
16)
- J.A. Nelder , R. Mead . A simplex method for function minimization. Comput. J. , 308 - 313
-
17)
- Barton, R.R., Ivey, J.S.: `Modifications of the Nelder–Mead simplex method for stochastic simulation response optimization', Winter Simulation Conf. Proc, 8–11 December 1991, p. 945–953.
-
18)
- Yalcionoz, T., Altun, H., Uzam, M.: `Economic dispatch solution using a genetic algorithm based on arithmetic crossover', Proc. IEEE Proto Power Tech. Conf., September 2001, Proto, Portugal.
-
19)
- J.G. Damousis , A.G. Unkirlzis , P.S. Dokopoulos . Network-constrained economic dispatch using real-coded genetic algorithm. IEEE Trans. Power Syst. , 4 , 198 - 205
-
20)
- N. Sinha , R. Chakrabarti , P.K. Chattopadhyay . Evolutionary programming techniques for economic load dispatch. IEEE Trans. Evol. Comput. , 1 , 83 - 94
-
21)
- C.L. Chen , S.C. Wang . Branch and bound scheduling for thermal generating units. IEEE Trans. Energy Convers. , 2 , 184 - 189
-
22)
- J.H. Mathews , K.D. Fink . (1999) Numerical methods using Matlab.
-
23)
- J.-B. Park , K.-S. Lee , J.-R. Shin , K.Y. Lee . A particle swarm optimization for economic dispatch with nonsmooth cost function. IEEE Trans. Power Syst. , 1 , 34 - 42
-
24)
- R. Rardin . (1998) Optimization in operations research.
-
25)
- Available at: http://www.cse.uiuc.edu/eot/modules/optimization/NelderMead/--Demo module in Java.
-
26)
- D.C. Walters , G.B. Sheble . Genetic algorithm solution of economic dispatch with valve point loading. IEEE Trans. Power Syst. , 1325 - 1332
-
27)
- A. Pereira-Neto , C. Unsihuay , O.R. Saavedra . Efficient evolutionary strategy optimisation procedure to solve the nonconvex economic dispatch problem with generator constraints. Proc. Inst. Electr. Eng., Gen., Transm., Distrib. , 5 , 653 - 660
-
28)
- K.Y. Lee , A. Sode-Yome , J.H. Park . Adaptive hopfield neural network for economic load dispatch. IEEE Trans. Power Syst. , 2 , 519 - 526
-
29)
- A.I. Selvakumar , K. Thanushkodi . A new particle swarm optimization solution to nonconvex economic dispatch problems. IEEE Trans. Power Syst. , 1 , 42 - 51
-
30)
- Fung, C.C., Chow, S.Y., Wong, K.P.: `Solving the economic dispatch problem with an integrated parallel genetic algorithm', Proc. PowerCon Int. Conf., 2000, 3, p. 1257–1262.
-
31)
- L.S. Coelho , V.C. Mariani . Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect. IEEE Trans. Power Syst. , 2 , 989 - 996
-
32)
- K.M. Passino . (2005) Biomimicry for optimization, control and automation.
-
33)
- Gazi, V., Passino, K.M.: `Stability analysis of swarms in an environment with an attractant/repellent profile', Proc. American Control Conf., May 2002, Anchorage, Alaska, p. 1819–1824.
-
34)
- C. Jiejin , M. Xiaoqian , L. Lixiang , P. Haipeng . Chaotic particle swarm optimization for economic dispatch considering the generator constraints. Energy convers. Manage. , 645 - 653
-
35)
- K.M. Passino . Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Syst. Mag. , 52 - 67
-
36)
- H.T. Yang , P.C. Yang , C.L. Huang . Evolutionary programming based economic dispatch for units with nonsmooth fuel cost functions. IEEE Trans. Power Syst. , 112 - 118
-
37)
- Tomick, J.J., Arnold, S.F., Barton, R.R.: `Sample size selection for improved Nelder–Mead performance', Winter Simulation Conf. Proc, 3–6 December 1995, p. 341–345.
-
38)
- B.H. Choudhary , S. Rahman . A review of recent advances in economic dispatch. IEEE Trans. Power Syst. , 4 , 1248 - 1259
-
39)
- Z.L. Gaing . Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans. Power Syst. , 3 , 1187 - 1195
-
40)
- F.N. Lee , A.M. Breipohl . Reserve constrained economic dispatch with prohibited operating zones. IEEE Trans. Power Syst. , 1 , 246 - 254
-
41)
- Gazi, V., Passino, K.M.: `Stability analysis of swarms', Proc. American Control Conf., May 2002, Anchorage, Alaska, p. 1813–1818.
-
42)
- W.M. Lin , F.S. Cheng , M.T. Tsay . An improved tabu search for economic dispatch with multiple minima. IEEE Trans. Power Syst. , 1 , 108 - 112
-
1)