Performance Assessment of a set of Multi-Objective Optimization Algorithms for Solution of Economic Emission Dispatch Problem

Sarat Mishra, Sudhansu Kumar Mishra

Abstract


This paper addresses the realistic economic emission dispatch (EED) problem by considering the operating fuel cost and environmental emission as two conflicting objectives, and power balance and generator limits as two constraints. A novel dynamic multi-objective optimization algorithm, namely the multi-objective differential evolution with recursive distributed constraint handling (RDC-MODE) has been proposed and successfully employed to address this challenging EED problem. It has been thoroughly investigated in two different test cases at three different load demands. The efficiency of the RDC-MODE is also compared with two other multi-objective evolutionary algorithms (MOEAs), namely, the non-dominated sorting genetic algorithm (NSGA-II) and multi-objective particle swam optimization (MOPSO). Performance evaluation is carried out by comparing the Pareto fronts, computational time and three non-parametric performance metrics. The statistical analysis is also performed, to demonstrate the ascendancy of the proposed RDC-MODE algorithm. Investigation of the performance metrics revealed that the proposed RDC-MODE approach was capable of providing good Pareto solutions while retaining sufficient diversity. It renders a wide opportunity to make a trade-off between operating cost and emission under different challenging constraints.



Full Text:

PDF

References


H Saadat (2009). Power System Analysis. McGraw-Hill Publishing Company Limited.

AJ Wood, BF Wollenberg (1998). Power Generation, Operation and Control. John Wiley & Sons, Inc.

A Farag, Al-Baiyat, STC Cheng (1995) Economic load dispatch multiobjective optimization procedures using linear programming techniques. IEEE Transaction on Power System, pp.731–738

LF Wang, C Singh (2006). Multi-objective stochastic power dispatch through a modified particle swarm optimization algorithm. Special Session on Applications of Swarm Intelligence to Power Systems. Proceedings of IEEE Swarm Intelligence Symposium, pp.127–135

MA Abido (2003). Environmental/Economic Power Dispatch Using Multi-Objective Evolutionary Algorithms. IEEE Transactions on Power Systems 18, 4, pp. 1529–1537.

CL Chiang, JH Liaw, CT Su (2005). New approach with a genetic algorithm framework to multi-objective generation dispatch problems. European Transactions on Electrical Power 15, pp.381–395

K Deb, A Pratap, T Meyarivan (2002). A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation 6, 2, pp. 182–197

RTFA King, HCS Rughooputh, K Deb (2004). Evolutionary Multi-Objective Environmental/Economic Dispatch: Stochastic vs. Deterministic Approaches. Kanpur GA Lab Report, Number 019

YS Brar, JS Dhillon, DP Kothari (2006). Multi objective Load Dispatch Based on Genetic-Fuzzy Technique, IEEE Conference on PSCE, pp. 931–937

R Muthuswamy, M Krishnan, K Subramanian, B Subramanian (2015). Environmental and economic power dispatch of thermal generators using modified NSGA-II algorithm, International Transactions on Electrical Energy Systems 25, 1552–1569

K Nayak, R Krishnand, BK Panigrahi, PK Rout (2009). Application of Artificial Bee Colony to Economic Load Dispatch Problem with Ramp Rate Limits and Prohibited Operating Zones, IEEE World Congress on Nature & Biologically Inspired Computing, pp. 1237–1242

RH Liang, CY Wu, YT Chen, WT Tseng (2016). Multi-objective dynamic optimal power flow using improved artificial bee colony algorithm based on Pareto optimization, International Transactions on Electrical Energy Systems 26, pp. 692–712

H Mori, K Okawa (2010). Advanced MOEPSO-based Multi-objective Environmental Economic Load Dispatching. IEEE Conference, doi: 10.1109/PES.2010.5590209

B Hadji, B Mahdad, K Srairi, N Mancer (2015). Multi-objective PSO-TVAC for Environmental Economic Dispatch Problem, Intl. Conf. on Technologies and Materials for Renewable Energy and Sustainability TMREES15, Energy Procedia, Elsevier pp. 102–111

R Storn, K Price (1997). Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces, Journal of Global Optimization 11, 4, pp. 341-359

GR Meza, X Blasco, J Sanchis, M Martinez (2010). Multiobjective optimization algorithm for solving constrained single objective problems. IEEE Conference, doi: 10.1109/CEC.2010.5586408

Y Di, M Fei, L Wang, W Wu (2014). Multi-objective optimization for economic emission dispatch using an improved binary differential evolution algorithm. The 6th International Conference on Applied Energy – ICAE, Energy Procedia, Elsevier, doi: 10.1016/j.egypro.2014.12.065

RC Eberhart, J Kennedy (1995). A New Optimiser using Particle Swarm Theory. Sixth International Symposium on Micro-machine and Human Science, pp. 39–43

V Hosseinnezhad, M Rafiee, Md Ahmadian, Md TaghiAmeli (2014). Species based Quantum Particle Swarm Optimization for economic load dispatch. Electrical Power and Energy Systems, Elsevier 63, pp. 311–332.

SK Mishra, SK Mishra (2016). Solution of Constrained Economic Emission Dispatch Problem Using Multi-Objective Particle Swarm Optimisation. International Journal of Control Theory and Applications 9, 39, pp. 63–70

SK Mishra, G Panda, RA Majhi (2014). Comparative Performance Assessment of a Set of Multi-objective Algorithms for Constrained Portfolio Assets Selection, Swarm and Evolutionary Computing, Elsevier 16, pp. 38–51

SP Karthikeyan, K Palaniswamy, C Rani, IJ Raglend, DP Kothari (2009). Security Constrained Unit Commitment Problem with Operational Power Flow and Environmental Constraints, WSEAS Transactions on Power Systems 4, 2, pp. 53–66




DOI: https://doi.org/10.31449/inf.v44i3.1969

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.