Pareto-dominance based adaptive multi-objective optimization for hydrothermal coordinated scheduling with environmental emission

Abstract Since hydrothermal optimal operation has been a headache in the energy and electricity field due to its coupled and complex non-convex characteristics, this paper proposes an adaptive second mutation based multi-objective differential evolution (ASMMODE) for hydrothermal coordinated scheduling problems, optimal assignments of hydro output and thermal output are taken to reduce thermal cost and environment pollution simultaneously. Firstly, an adaptive second mutation mechanism is proposed to enhance population diversity to avoid premature problem, and entropy density based distribution control strategy is improved to properly control the diversity distribution of obtained Pareto front, which can provide proper candidate optimal scheme for decision-makers. Followed by taking consideration of complex and coupled constraints, coordinated constraint handling technique is proposed to proper handle system load balance, which can coordinate hydro output and thermal output in each time period. Furthermore, those above improvements are testified on benchmark problems and hydrothermal system, according to comparisons and analysis on statistical results, it reveals that the proposed optimization method can be a viable way for solving hydrothermal optimization problems.

[1]  Xiaohui Yuan,et al.  Multi-objective optimization of short-term hydrothermal scheduling using non-dominated sorting gravitational search algorithm with chaotic mutation , 2014 .

[2]  Mousumi Basu,et al.  Economic environmental dispatch of fixed head hydrothermal power systems using nondominated sorting genetic algorithm-II , 2011, Appl. Soft Comput..

[3]  Costas Vournas,et al.  An enhanced peak shaving method for short term hydrothermal scheduling , 2007 .

[4]  Ferial El-Hawary,et al.  Optimal environmental dispatching of electric power systems via an improved Hopfield neural network model , 1995 .

[5]  R. Chakrabarti,et al.  Short-term hydrothermal scheduling using clonal selection algorithm , 2011 .

[6]  Ying Wang,et al.  Multi-objective differential evolution with adaptive Cauchy mutation for short-term multi-objective optimal hydro-thermal scheduling , 2010 .

[7]  Provas Kumar Roy,et al.  Optimal short-term hydro-thermal scheduling using quasi-oppositional teaching learning based optimization , 2013, Eng. Appl. Artif. Intell..

[8]  Malcolm Irving,et al.  A genetic algorithm modelling framework and solution technique for short term optimal hydrothermal scheduling , 1998 .

[9]  Marco Laumanns,et al.  Scalable Test Problems for Evolutionary Multiobjective Optimization , 2005, Evolutionary Multiobjective Optimization.

[10]  Ying Wang,et al.  A hybrid multi-objective cultural algorithm for short-term environmental/economic hydrothermal scheduling , 2011 .

[11]  L. Lakshminarasimman,et al.  A modified hybrid differential evolution for short-term scheduling of hydrothermal power systems with cascaded reservoirs , 2008 .

[12]  Malabika Basu,et al.  A simulated annealing-based goal-attainment method for economic emission load dispatch of fixed head hydrothermal power systems , 2005 .

[13]  Malabika Basu,et al.  An interactive fuzzy satisfying method based on evolutionary programming technique for multiobjective short-term hydrothermal scheduling , 2004 .

[14]  Hong-Tzer Yang,et al.  Bi-objective power dispatch using fuzzy satisfaction-maximizing decision approach , 1997 .

[15]  Kalyanmoy Deb,et al.  Scope of stationary multi-objective evolutionary optimization: a case study on a hydro-thermal power dispatch problem , 2008, J. Glob. Optim..

[16]  Weiyi Qian,et al.  Adaptive differential evolution algorithm for multiobjective optimization problems , 2008, Appl. Math. Comput..

[17]  Behnam Mohammadi-Ivatloo,et al.  Real coded genetic algorithm approach with random transfer vectors-based mutation for short-term hydro–thermal scheduling , 2015 .

[18]  J. Yuryevich,et al.  Evolutionary-programming-based algorithm for environmentally-constrained economic dispatch , 1998 .

[19]  M. A. Abido,et al.  Differential evolution algorithm for emission constrained economic power dispatch problem , 2010 .

[20]  L. Lakshminarasimman,et al.  Short-term scheduling of hydrothermal power system with cascaded reservoirs by using modified differential evolution , 2006 .

[21]  Xiaohui Yuan,et al.  Multi-objective Artificial Physical Optimization Algorithm for Daily Economic Environmental Dispatch of Hydrothermal Systems , 2016 .

[22]  Niladri Chakraborty,et al.  Daily combined economic emission scheduling of hydrothermal systems with cascaded reservoirs using self organizing hierarchical particle swarm optimization technique , 2012, Expert Syst. Appl..

[23]  Mitra Basu,et al.  Artificial immune system for fixed head hydrothermal power system , 2011 .

[24]  Aniruddha Bhattacharya,et al.  Real coded chemical reaction based optimization for short-term hydrothermal scheduling , 2014, Appl. Soft Comput..

[25]  K. Shanti Swarup,et al.  Hybrid DE–SQP algorithm for non-convex short term hydrothermal scheduling problem , 2011 .

[26]  N. Madavan.  Multiobjective optimization using a Pareto differential evolution approach , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[27]  Songfeng Lu,et al.  Short-term combined economic emission hydrothermal scheduling using improved quantum-behaved particle swarm optimization , 2010, Expert Syst. Appl..

[28]  Yupu Yang,et al.  Particle swarm with equilibrium strategy of selection for multi-objective optimization , 2010, Eur. J. Oper. Res..

[29]  A. Sharaf,et al.  Short term multi-objective hydrothermal scheduling , 2015 .

[30]  Xinghuo Yu,et al.  Distributed Event-Triggered Scheme for Economic Dispatch in Smart Grids , 2016, IEEE Transactions on Industrial Informatics.

[31]  Jingrui Zhang,et al.  Small Population-Based Particle Swarm Optimization for Short-Term Hydrothermal Scheduling , 2012, IEEE Transactions on Power Systems.

[32]  Aleš Zamuda,et al.  Short-term combined economic and emission hydrothermal optimization by surrogate differential evolution , 2015 .

[33]  E. Ott.  Chaos in Dynamical Systems: Contents , 1993 .

[34]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[35]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[36]  R. Chakrabarti,et al.  An improved PSO technique for short-term optimal hydrothermal scheduling , 2009 .

[37]  N. Chakraborty,et al.  Short-term combined economic emission scheduling of hydrothermal power systems with cascaded reservoirs using differential evolution , 2009 .

[38]  Malabika Basu,et al.  Improved differential evolution for short-term hydrothermal scheduling , 2014 .

[39]  Janis Bubenko,et al.  Optimal Short Term Operation Planning of a Large Hydrothermal Power System Based on a Nonlinear Network Flow Concept , 1986, IEEE Transactions on Power Systems.

[40]  H. Abbass,et al.  PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[41]  Ying Wang,et al.  An adaptive chaotic differential evolution for the short-term hydrothermal generation scheduling problem , 2010 .

[42]  Dexuan Zou,et al.  An improved differential evolution algorithm for the economic load dispatch problems with or without valve-point effects , 2016 .