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Dynamic economic dispatch using harmony search algorithm with modified differential mutation operator

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Abstract

Dynamic economic dispatch (DED), which is a complex non-linear constrained optimization problem, has a pivotal role in power system operation. It is one of the prime functions of power generation and control, where the aim is to operate an electrical power system most economically while the system operation is within its security limits. This problem possess non-convex characteristic when generation unit valve-point effects are considered. This paper proposes to solve DED problem with valve-point effects, using a modified form of recently developed differential harmony search algorithm. A five- and ten-unit system with non-smooth fuel cost function is used to establish the effectiveness of the proposed method over various other methods. It is shown that the proposed method is capable of providing better quality solutions.

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Abbreviations

F cost t :

Total power production cost

F it (P it ):

Fuel cost corresponding to ith generator for output power P i at time t

a i , b i , c i :

Cost coefficients of ith generator

P it :

Real power output (MW) of ith generator corresponding to time period t

e i , f i :

Cost coefficients to effectively model the valve point loading effect

B ij , B i0, B 00 :

Loss coefficients

P Dt :

Power demand at time t

P Lt :

Power loss at time t

P maxi :

Upper bound for power outputs of the ith generating unit

P min i :

Lower bound for power outputs of the ith generating unit

P i(t-1) :

Power generation of unit i at previous hour

UR i :

Upper ramp limit

DR i :

Lower ramp limit

μ 1, μ 2, μ 3 :

Penalty terms

HMS:

Harmony memory size

HMCR:

Harmony memory consideration rate

PAR:

Pitch adjusting rate

NI:

Number of improvisations

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Authors and Affiliations

  1. Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India

    Prithwish Chakraborty & Gourab Ghosh Roy

  2. Department of Electrical Engineering, Indian Institute of Technology, Delhi, India

    B. K. Panigrahi

  3. School of Information Technology and Electrical Engineering, The University of Queensland, St. Lucia, Australia

    R. C. Bansal

  4. Department of Electrical Engineering, ITER, Siksha ‘O’Anusandhan University, Bhubaneswar, Orissa, India

    Ankita Mohapatra

Authors
  1. Prithwish Chakraborty
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  2. Gourab Ghosh Roy
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  3. B. K. Panigrahi
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  4. R. C. Bansal
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  5. Ankita Mohapatra
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Corresponding author

Correspondence to R. C. Bansal.

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Chakraborty, P., Roy, G.G., Panigrahi, B.K. et al. Dynamic economic dispatch using harmony search algorithm with modified differential mutation operator. Electr Eng 94, 197–205 (2012). https://doi.org/10.1007/s00202-011-0230-6

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  • DOI: https://doi.org/10.1007/s00202-011-0230-6

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