This paper discusses the application of covariance matrix adapted evolution strategy (CMAES) algorithm on wind energy conversion systems. CMAES is a class of continuous evolutionary algorithm that generates new population members by sampling from a probability distribution that is constructed during the optimization process. Modified IEEE 14 bus system is considered for simulation purpose. The critical evaluation of maximum loadability of the system is determined. Statistical performance of CMAES algorithm reveals that the best value of maximum loadability is obtained when compared to primal dual interior point method. Even though CMAES takes higher computation time, this method gives the best loadability margin.
REFERENCES
1.
Y.-C.
Wu
, A. S.
Debs
, and R. E.
Marsten
, “A direct non linear predictor corrector primal dual interior point algorithm for optimal power flows
,” IEEE Trans. Power Syst.
9
(2
), 876
–883
(1994
).2.
W. L.
Fang
and H. W.
Ngan
, “Optimizing location of UPFC using the method of augmented Lagrange multipliers
,” IEE Proc. Gener. Transm. Distrib.
146
(5
), 428
–434
(1999
).3.
A.
Seungwon
and T. W.
Gedra
, “Estimation of UPFC value using sensitivity analysis
,” in Proceedings of 45th Midwest Symposium on Circuits and Systems
, 2002
.4.
A.
Seungwon
, J.
Condren
et al., “Ideal transformer UPFC model, OPF first order sensitivities, and application to screening for optimal UPFC locations
,” IEEE Trans. Power Syst.
22
(1
), 427
–439
(2007
).5.
Z.
Lubosny
, Wind Turbine Operation in Electric Power Systems Advanced Modeling
(Springer Verlag
, 2003
).6.
A.
Nabavi-Niaki
and M. R.
Iravani
, “Steady state and dynamic models of unified power flow controller for power system studies
,” IEEE Trans. Power Syst.
11
(4
), 1937
–1943
(1996
).7.
S.
Heier
, Grid Integration of Wind Energy Conversion Systems
(John Wiley and Sons
, 1998
).8.
A.
Seungwon
et al., “Introduction to natural gas and electricity optimal power flow
,” in Proceedings of IEEE Conference and Expo
, 2003
.9.
N.
Hansen
and S.
Kern
, “Evaluating the CMA evolution strategy on multimodal test functions
,” in Parallel Problem Solving from Nature (PPSN VIII)
, edited by X.
Yao
et al. (Springer-Verlag
, 2004
), Vol. 3242
, pp. 282
–291
.10.
M.
Zimmerman
, MATPOWER 3.0: A Matlab Power System Simulation Package, Ithaca, New York, Cornell University Press, 1997
, see http://www.pserc.cornell.edu/matpower.11.
R.
Christie
, Power System Test Case Archive
(University of Washington
, 1993
), see http://www.ee.washington.edu/research/pstca.12.
S. M.
Alamelu
and R. P. K.
Devi
, “Optimal siting and sizing of UPFC in wind energy conversion systems
,” Int. J. Wind Eng.
34
(4
), 421
–444
(2010
).13.
H. A.
Abdelsalam
, G. I. M.
Aly
, M.
Abdelkrim
, and K. M.
Shebl
, “Optimal location of the unified power flow controller in electric power system
,” in Proceedings of IEEE on Large Engineering Systems Conference on Power Engineering
(2004
), pp. 41
–46
.14.
J.-U.
Lim
and S.-I.
Moon
, “UPFC operation for the minimization of power production and delivery costs
,” in Power Engineering Society Summer Meeting
(2000
), pp. 75
–96
.15.
M.
Behshad
, A.
Lakshkarara
, and A. T.
Rahmani
, “Optimal location of UPFC considering system loadability, total fuel cost, power losses and cost of installation
,” in 2nd International Conference on Power Electronics and Intelligent Transportation System
(2009
), pp. 79
–97
.16.
M.
Saravanan
, S. M. R.
Slochanal
, P.
Venkatesh
, and J. P. S.
Abraham
, “Application of PSO technique for optimal location of facts devices considering the cost of installation and system loadability
,” Electr. Power Syst. Res.
11
, 276
–283
(2007
).17.
B.
Venkatesh
and B.
Gooi
, “Optimal siting of UPFC
,” Electr. Power Compon. Syst.
34
(3
), 271
–284
(2006
).18.
A.
Seungwon
, J.
Condren
, and T. W.
Gedra
, “An ideal transformer UPFC model, OPF first–order sensitivities, and application to screening for optimal UPFC locations
,” IEEE Trans. Power Syst.
22
(1
), 430
–436
(2007
).© 2014 AIP Publishing LLC.
2014
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