Collective neurodynamic optimization for economic emission dispatch problem considering valve point effect in microgrid

The economic emission dispatch (EED) problem aims to control generation cost and reduce the impact of waste gas on the environment. It has multiple constraints and nonconvex objectives. To solve it, the collective neurodynamic optimization (CNO) method, which combines heuristic approach and projection neural network (PNN), is attempted to optimize scheduling of an electrical microgrid with ten thermal generators and minimize the plus of generation and emission cost. As the objective function has non-derivative points considering valve point effect (VPE), differential inclusion approach is employed in the PNN model introduced to deal with them. Under certain conditions, the local optimality and convergence of the dynamic model for the optimization problem is analyzed. The capability of the algorithm is verified in a complicated situation, where transmission loss and prohibited operating zones are considered. In addition, the dynamic variation of load power at demand side is considered and the optimal scheduling of generators within 24 h is described.

[1]  A. T. Johns,et al.  Environmental/economic dispatch using fuzzy logic controlled genetic algorithms , 1997 .

[2]  S. Uryasev,et al.  Stochastic optimization : Algorithms and Applications , 2001 .

[3]  Xinghuo Yu,et al.  Distributed Optimal Consensus Over Resource Allocation Network and Its Application to Dynamical Economic Dispatch , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Qingshan Liu,et al.  A one-layer recurrent neural network for constrained pseudoconvex optimization and its application for dynamic portfolio optimization , 2012, Neural Networks.

[5]  Tingwen Huang,et al.  Second-Order Continuous-Time Algorithms for Economic Power Dispatch in Smart Grids , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[6]  D. P. Kothari,et al.  Combined Economic and Emission Dispatch Using Improved Backpropagation Neural Network , 2000 .

[7]  J. Aubin,et al.  Differential inclusions set-valued maps and viability theory , 1984 .

[8]  Jun Wang,et al.  A Collective Neurodynamic Approach to Constrained Global Optimization , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[9]  Jianchao Fan,et al.  A Collective Neurodynamic Optimization Approach to Nonnegative Matrix Factorization , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[10]  Han-Xiong Huang,et al.  A proposed iteration optimization approach integrating backpropagation neural network with genetic algorithm , 2015, Expert Syst. Appl..

[11]  S. Baskar,et al.  Application of modified NSGA-II algorithm to Combined Economic and Emission Dispatch problem , 2011 .

[12]  Chuandong Li,et al.  Neural network for solving convex quadratic bilevel programming problems , 2014, Neural Networks.

[13]  Aminaton Marto,et al.  Ground vibration prediction in quarry blasting through an artificial neural network optimized by imperialist competitive algorithm , 2015, Bulletin of Engineering Geology and the Environment.

[14]  Chao-Ming Huang,et al.  A novel approach to real-time economic emission power dispatch , 2003 .

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

[16]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[17]  Chuandong Li,et al.  A Recurrent Neural Network for Solving Bilevel Linear Programming Problem , 2014, IEEE Transactions on Neural Networks and Learning Systems.

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

[19]  Xinghuo Yu,et al.  Efficient Computation for Sparse Load Shifting in Demand Side Management , 2017, IEEE Transactions on Smart Grid.

[20]  Zwe-Lee Gaing,et al.  Particle swarm optimization to solving the economic dispatch considering the generator constraints , 2003 .

[21]  Junzhi Yu,et al.  Neural-Network-Based Nonlinear Model Predictive Control for Piezoelectric Actuators , 2015, IEEE Transactions on Industrial Electronics.

[22]  B. Mohammadi-ivatloo,et al.  Combined heat and power economic dispatch problem solution using particle swarm optimization with ti , 2013 .

[23]  Chandrabose Aravindan,et al.  On-line emission and economic load dispatch using adaptive Hopfield neural network , 2003, Appl. Soft Comput..

[24]  Chuandong Li,et al.  An Inertial Projection Neural Network for Solving Variational Inequalities , 2017, IEEE Transactions on Cybernetics.

[25]  Xinghuo Yu,et al.  A Generalized Hopfield Network for Nonsmooth Constrained Convex Optimization: Lie Derivative Approach , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[26]  Shengwei Zhang,et al.  Lagrange programming neural networks , 1992 .

[27]  Vinay Kumar Jadoun,et al.  Modulated particle swarm optimization for economic emission dispatch , 2015 .

[28]  Yan Wang,et al.  A novel gravitational acceleration enhanced particle swarm optimization algorithm for wind–thermal economic emission dispatch problem considering wind power availability , 2015 .

[29]  Jun Wang,et al.  A collective neurodynamic optimization approach to bound-constrained nonconvex optimization , 2014, Neural Networks.

[30]  A. Manitius.  Optimization and Nonsmooth Analysis (Frank H. Clarke) , 1985 .

[31]  Jun Wang,et al.  A Novel Recurrent Neural Network for Solving Nonlinear Optimization Problems With Inequality Constraints , 2008, IEEE Transactions on Neural Networks.

[32]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms, 3/E. , 2019 .

[33]  Aruna Tiwari,et al.  Quantum Based Neural Network Classifier and Its Application for Firewall to Detect Malicious Web Request , 2015, 2015 IEEE Symposium Series on Computational Intelligence.

[34]  Sitian Qin,et al.  A new one-layer recurrent neural network for nonsmooth pseudoconvex optimization , 2013, Neurocomputing.

[35]  T. Thakur,et al.  A Particle Swarm Optimization Solution to NO2 and SO2 Emissions for Environmentally Constrained Economic Dispatch Problem , 2006, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America.

[36]  J. Wang.  Recurrent neural network for solving quadratic programming problems with equality constraints , 1992 .

[37]  Anthony G. Constantinides,et al.  Lagrange Programming Neural Network for Nondifferentiable Optimization Problems in Sparse Approximation , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[38]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[39]  Qingshan Liu,et al.  A Collective Neurodynamic Approach to Distributed Constrained Optimization , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[40]  Qingshan Liu,et al.  A One-Layer Recurrent Neural Network With a Discontinuous Hard-Limiting Activation Function for Quadratic Programming , 2008, IEEE Transactions on Neural Networks.