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Electrical Engineering
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15-06-2024 | Original Paper

A multi-objective economic emission dispatch problem in microgrid with high penetration of renewable energy sources using equilibrium optimizer

Authors: Jatin Soni, Kuntal Bhattacharjee

Published in: Electrical Engineering | Issue 1/2025

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Abstract

The article addresses the increasing demand for energy and the challenges associated with integrating renewable energy sources into power systems. It introduces the Equilibrium Optimizer (EO) as a powerful tool for solving the multi-objective economic emission dispatch (EED) problem in microgrids. The EO method is inspired by physical laws and combines exploration and exploitation phases to find optimal solutions efficiently. The study highlights the effectiveness of EO in reducing fuel costs and emissions while considering various system constraints, such as power balance, transmission losses, and generator operating limits. The article presents a detailed mathematical formulation of the EED problem, including objective functions and constraints, and demonstrates the superior performance of the EO approach through extensive simulations and comparisons with other optimization methods. The results show that the EO method outperforms existing techniques in terms of both performance and efficiency, making it a promising solution for optimizing EED problems in microgrids with high renewable energy penetration.
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Literature
1.
Ghorbani N, Babaei E (2016) Exchange market algorithm for economic load dispatch. Int J Electr Power Energy Syst 75:19–27MATH
2.
Mareček J, Takáč M (2017) A low-rank coordinate-descent algorithm for semidefinite programming relaxations of optimal power flow. Optim Methods Softw 32(4):849–871MathSciNetMATH
3.
Hota P, Barisal A, Chakrabarti R (2010) Economic emission load dispatch through fuzzy based bacterial foraging algorithm. Int J Electr Power Energy Syst 32(7):794–803
4.
Vespucci MT, Bertocchi M, Pisciella P, Zigrino S (2016) Two-stage stochastic mixed integer optimization models for power generation capacity expansion with risk measures. Optim Methods Softw 31(2):305–327MathSciNetMATH
5.
Grimm V, Kleinert T, Liers F, Schmidt M, Zöttl G (2019) Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches. Optim Methods Softw 34(2):406–436MathSciNetMATH
6.
Rizk-Allah RM, El-Sehiemy RA, Wang G-G (2018) A novel parallel hurricane optimization algorithm for secure emission/economic load dispatch solution. Appl Soft Comput 63:206–222MATH
7.
Shilaja C, Ravi K (2017) Optimization of emission/economic dispatch using Euclidean affine flower pollination algorithm (EFPA) and binary FPA (BFPA) in solar photo voltaic generation. Renew Energy 107:550–566
8.
Güvenc U, Sönmez Y, Duman S, Yörükeren N (2012) Combined economic and emission dispatch solution using gravitational search algorithm. Sci Iran 19(6):1754–1762MATH
9.
Bhattacharjee K, Patel N (2022) A comparative study of economic load dispatch with complex non-linear constraints using Salp swarm algorithm. Sci Iran 29(2):676–692MATH
10.
Barisal A (2013) Dynamic search space squeezing strategy based intelligent algorithm solutions to economic dispatch with multiple fuels. Int J Electr Power Energy Syst 45(1):50–59
11.
Chakraborty S, Senjyu T, Yona A, Saber A, Funabashi T (2011) Solving economic load dispatch problem with valve-point effects using a hybrid quantum mechanics inspired particle swarm optimisation. IET Gener Transm Distrib 5(10):1042–1052
12.
Zhang Y, Gong D-W, Ding Z (2012) A bare-bones multi-objective particle swarm optimization algorithm for environmental/economic dispatch. Inf Sci 192:213–227MATH
13.
Shah K, Soni J, Bhattacharjee K (2023) Artificial electric field algorithm applied to the economic load dispatch problem with valve point loading effect: Aefa applied to eld with vple. Int J Swarm Intell Res (IJSIR) 14(1):1–23
14.
Ali ES, Abd-Elazim SM (2011) Bacteria foraging optimization algorithm based load frequency controller for interconnected power system. Int J Electr Power Energy Syst 33(3):633–638MATH
15.
Chatterjee A, Ghoshal S, Mukherjee V (2012) Solution of combined economic and emission dispatch problems of power systems by an opposition-based harmony search algorithm. Int J Electr Power Energy Syst 39(1):9–20MATH
16.
Bhattacharya A, Chattopadhyay PK (2011) Solving economic emission load dispatch problems using hybrid differential evolution. Appl Soft Comput 11(2):2526–2537MATH
17.
Yuan X, Ji B, Zhang S, Tian H, Chen Z (2014) An improved artificial physical optimization algorithm for dynamic dispatch of generators with valve-point effects and wind power. Energy Convers Manag 82:92–105MATH
18.
Hatata AY, Hafez AA (2019) Ant lion optimizer versus particle swarm and artificial immune system for economical and eco-friendly power system operation. Int Trans Electr Energy Syst 29(4):2803MATH
19.
Bhattacharjee K, Bhattacharya A, Nee Dey SH (2014) Oppositional real coded chemical reaction optimization for different economic dispatch problems. Int J Electr Power Energy Syst 55:378–391MATH
20.
Bhattacharjee K, Bhattacharya A, Nee Dey SH (2014) Chemical reaction optimisation for different economic dispatch problems. IET Gener Transm Distrib 8(3):530–541MATH
21.
Jadhav H, Roy R (2013) Gbest guided artificial bee colony algorithm for environmental/economic dispatch considering wind power. Expert Syst Appl 40(16):6385–6399MATH
22.
Qu B-Y, Liang JJ, Zhu Y, Wang Z, Suganthan PN (2016) Economic emission dispatch problems with stochastic wind power using summation based multi-objective evolutionary algorithm. Inf Sci 351:48–66
23.
Hagh MT, Kalajahi SMS, Ghorbani N (2020) Solution to economic emission dispatch problem including wind farms using exchange market algorithm method. Appl Soft Comput 88:106044MATH
24.
Liao G-C (2011) A novel evolutionary algorithm for dynamic economic dispatch with energy saving and emission reduction in power system integrated wind power. Energy 36(2):1018–1029MATH
25.
Soni J, Bhattacharjee K (2023) Equilibrium optimiser for the economic load dispatch problem with multiple fuel option and renewable sources. Int J Ambient Energy 44(1):2386–2397MATH
26.
Azizipanah-Abarghooee R, Niknam T, Roosta A, Malekpour AR, Zare M (2012) Probabilistic multiobjective wind-thermal economic emission dispatch based on point estimated method. Energy 37(1):322–335
27.
Mondal S, Bhattacharya A, Nee Dey SH (2013) Multi-objective economic emission load dispatch solution using gravitational search algorithm and considering wind power penetration. Int J Electr Power Energy Syst 44(1):282–292
28.
Wang L, Singh C (2006). PSO-based multi-criteria economic dispatch considering wind power penetration subject to dispatcher’s attitude. In: 2006 38th North American power symposium, pp 269–276. IEEE
29.
Jiang S, Ji Z, Wang Y (2015) A novel gravitational acceleration enhanced particle swarm optimization algorithm for wind-thermal economic emission dispatch problem considering wind power availability. Int J Electr Power Energy Syst 73:1035–1050MATH
30.
Guesmi T, Farah A, Marouani I, Alshammari B, Abdallah HH (2020) Chaotic sine-cosine algorithm for chance-constrained economic emission dispatch problem including wind energy. IET Renew Power Gener 14(10):1808–1821
31.
Hagh MT, Kalajahi SMS, Ghorbani N (2020) Solution to economic emission dispatch problem including wind farms using exchange market algorithm method. Appl Soft Comput 88:106044MATH
32.
Faramarzi A, Heidarinejad M, Stephens B, Mirjalili S (2020) Equilibrium optimizer: a novel optimization algorithm. Knowl-Based Syst 191:105190MATH
33.
Seleem SI, Hasanien HM, El-Fergany AA (2021) Equilibrium optimizer for parameter extraction of a fuel cell dynamic model. Renew Energy 169:117–128
34.
Soni J, Bhattacharjee K (2024) Integrating renewable energy sources and electric vehicles in dynamic economic emission dispatch: an oppositional-based equilibrium optimizer approach. Eng Optim 1–35
35.
Nourianfar H, Abdi H (2021) Solving power systems optimization problems in the presence of renewable energy sources using modified exchange market algorithm. Sustain Energy Grids Netw 26:100449MATH
36.
Chang TP (2011) Estimation of wind energy potential using different probability density functions. Appl Energy 88(5):1848–1856MATH
37.
Xin-gang Z, Ji L, Jin M, Ying Z (2020) An improved quantum particle swarm optimization algorithm for environmental economic dispatch. Expert Syst Appl 152:113370MATH
38.
Niknam T, Doagou-Mojarrad H (2012) Multiobjective economic/emission dispatch by multiobjective thetas-particle swarm optimisation. IET Gener Transm Distrib 6(5):363–377
39.
Sayah S, Hamouda A (2013) A hybrid differential evolution algorithm based on particle swarm optimization for nonconvex economic dispatch problems. Appl Soft Comput 13(4):1608–1619MATH
40.
Namilakonda S, Guduri Y (2021) Chaotic Darwinian particle swarm optimization for real-time hierarchical congestion management of power system integrated with renewable energy sources. Int J Electr Power Energy Syst 128:106632MATH
41.
Soni J, Bhattacharjee K (2024) Multi-objective dynamic economic emission dispatch integration with renewable energy sources and plug-in electrical vehicle using equilibrium optimizer. Environ Dev Sustain 26(4):8555–8586MATH
42.
Soni JM, Pandya MH (2018) Power quality enhancement for PV rooftop and BESS in islanded mode. In: 2018 4th international conference on electrical energy systems (ICEES), pp 242–247. IEEE
43.
Aydin D, Özyön S, Yaşar C, Liao T (2014) Artificial bee colony algorithm with dynamic population size to combined economic and emission dispatch problem. Int J Electr Power Energy Syst 54:144–153MATH
44.
Chamandoust H, Derakhshan G, Hakimi SM, Bahramara S (2019) Tri-objective optimal scheduling of smart energy hub system with schedulable loads. J Clean Prod 236:117584
45.
Mohammadi S, Mozafari B, Solimani S, Niknam T (2013) An adaptive modified firefly optimisation algorithm based on Hong’s point estimate method to optimal operation management in a microgrid with consideration of uncertainties. Energy 51:339–348MATH
46.
Abarghooee RA, Aghaei J (2011) Stochastic dynamic economic emission dispatch considering wind power. In: 2011 IEEE power engineering and automation conference, vol 1, pp 158–161. IEEE
47.
Chamandoust H, Derakhshan G, Bahramara S (2020) Multi-objective performance of smart hybrid energy system with multi-optimal participation of customers in day-ahead energy market. Energy Build 216:109964
48.
Chamandoust H, Derakhshan G, Hakimi SM, Bahramara S (2020) Tri-objective scheduling of residential smart electrical distribution grids with optimal joint of responsive loads with renewable energy sources. J Energy Storage 27:101112
49.
Chamandoust H, Bahramara S, Derakhshan G (2020) Day-ahead scheduling problem of smart micro-grid with high penetration of wind energy and demand side management strategies. Sustain Energy Technol Assess 40:100747
50.
Soni J, Bhattacharjee K (2024). Equilibrium optimizer for multi-objective dynamic economic emission dispatch integration with plug-in electric vehicles and renewable sources. Multiscale Multidiscip Model Exp Des 1–17
51.
Bhattacharjee K, Bhattacharya A, Nee Dey SH (2014) Solution of economic emission load dispatch problems of power systems by real coded chemical reaction algorithm. Int J Electr Power Energy Syst 59:176–187MATH
52.
Jiang S, Ji Z, Shen Y (2014) A novel hybrid particle swarm optimization and gravitational search algorithm for solving economic emission load dispatch problems with various practical constraints. Int J Electr Power Energy Syst 55:628–644MATH
53.
Bhattacharjee K, Bhattacharya A, Nee Dey SH (2014) Solution of economic emission load dispatch problems of power systems by real coded chemical reaction algorithm. Int J Electr Power Energy Syst 59:176–187
54.
Das D, Bhattacharya A, Ray RN (2020) Dragonfly algorithm for solving probabilistic economic load dispatch problems. Neural Comput Appl 32(8):3029–3045MATH
55.
Woolson RF (2007) Wilcoxon signed-rank test. Wiley encyclopedia of clinical trials, pp 1–3
Metadata
Title
A multi-objective economic emission dispatch problem in microgrid with high penetration of renewable energy sources using equilibrium optimizer
Authors
Jatin Soni
Kuntal Bhattacharjee
Publication date
15-06-2024
Publisher
Springer Berlin Heidelberg
Published in
Electrical Engineering / Issue 1/2025
Print ISSN: 0948-7921
Electronic ISSN: 1432-0487
DOI
https://doi.org/10.1007/s00202-024-02526-1

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