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Energy production cost minimization in a combined heat and power generation systems using cuckoo optimization algorithm

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Abstract

In this paper, cuckoo optimization algorithm is implemented to solve energy production cost minimization in a combined heat and power (CHP) generation system. This problem is also known as combined heat and power economic dispatch problem, which looks for optimal values of power and heat generation of each CHP unit to minimize the total production cost. Cuckoo optimization algorithm is a new metaheuristic algorithm. It is inspired by the life of a bird family, called cuckoo, that special lifestyle of these birds and their characteristics in egg laying and breeding has been the basic motivation for development of this algorithm. Unlike of the some previous approaches, the effect of valve point is considered in the cost function and clearly formulated in the conventional polynomial cost function as absolute sinusoidal term. The proposed method is applied to three small (with three different test cases), medium, and large test systems in order to evaluate its efficiency and feasibility. The obtained results demonstrated a higher quality solution and superior performance of the proposed cuckoo optimization algorithm method in comparison with many existing methodologies.

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Abbreviations

i :

Index for conventional thermal units

j :

Index for cogeneration units

k :

Index for heat-only units

N p :

Number of conventional thermal units

N c :

Number of cogeneration units

N h :

Number of heat-only units

α i , β i , and γ i :

The cost coefficients of the i th conventional thermal units

λ i  and ρ i :

The cost coefficients for modeling valve-point effects

P demand and H demand :

System power and thermal demands

a j , b j , c j , d j , e j  and f j :

The cost coefficients of the j th cogeneration unit

a k , b k , and c k :

The cost coefficients of the k th heat-only unit

\( {P}_i^{p_{\min }}\ \mathrm{and}\ {P}_i^{p_{\max }} \) :

Minimum and maximum power outputs of the i th conventional power-only unit in megawatt

\( {H}_k^{h_{\min }}\ \mathrm{and}\ {\mathrm{H}}_k^{h_{\max }} \) :

Minimum and maximum thermal outputs of the k th heat-only unit

\( {P}_i^{c_{\min }}\left({\mathrm{H}}_j^c\right)\ \mathrm{and}\ {P}_i^{c_{\max }}\left({\mathrm{H}}_j^c\right) \) :

Minimum and maximum power limit of CHP unit j which are functions of generated heat H c j

\( {H}_j^{c_{\min }}\left({\mathrm{P}}_j^c\right)\ \mathrm{and}\ {H}_i^{c_{\max }}\left({\mathrm{P}}_j^c\right) \) :

Heat generation limits which are functions of generated power P c j

H :

Heat output of unit

P :

Power output of unit

C i (P p i ):

Fuel cost of conventional thermal unit i

C j (P c j , H c j ):

Cost function of the cogeneration unit j

C k (H h k ):

Cost of heat-only unit k

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Authors and Affiliations

  1. Smart Energy Systems Laboratory, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Mehdi Mehdinejad, Behnam Mohammadi-Ivatloo & Reza Dadashzadeh-Bonab

Authors
  1. Mehdi Mehdinejad
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  2. Behnam Mohammadi-Ivatloo
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  3. Reza Dadashzadeh-Bonab
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Correspondence to Behnam Mohammadi-Ivatloo.

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Mehdinejad, M., Mohammadi-Ivatloo, B. & Dadashzadeh-Bonab, R. Energy production cost minimization in a combined heat and power generation systems using cuckoo optimization algorithm. Energy Efficiency 10, 81–96 (2017). https://doi.org/10.1007/s12053-016-9439-6

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  • DOI: https://doi.org/10.1007/s12053-016-9439-6

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