Abstract

Solving the Unit Commitment problem is an important step in optimally dispatching the available generation and involves two stages—deciding which generators to commit, and then deciding their power output (economic dispatch). The Unit Commitment problem is a mixed-integer combinational optimization problem that traditional optimization techniques struggle to solve, and metaheuristic techniques are better suited. Dragonfly algorithm (DA) and particle swarm optimization (PSO) are two such metaheuristic techniques, and recently a hybrid (DA-PSO), to make use of the best features of both, has been proposed. The original DA-PSO optimization is unable to solve the Unit Commitment problem because this is a mixed-integer optimization problem. However, this paper proposes a new and improved DA-PSO optimization (referred to as iDA-PSO) for solving the unit commitment and economic dispatch problems. The iDA-PSO employs a sigmoid function to find the optimal on/off status of units, which is the mixed-integer part of obtaining the Unit Commitment problem. To verify the effectiveness of the iDA-PSO approach, it was tested on four different-sized systems (5-unit, 6-unit, 10-unit, and 26-unit systems). The unit commitment, generation schedule, total generation cost, and time were compared with those obtained by other algorithms in the literature. The simulation results show iDA-PSO is a promising technique and is superior to many other algorithms in the literature.

Highlights

  • The development of electricity markets has made it even more crucial to determine the optimal generator schedule to minimize costs while meeting load demand

  • The effectiveness of the iDA-particle swarm optimization (PSO) algorithm is examined by solving the Unit Commitment (UC) problem using

  • The total generation cost provided by the Improved DA-PSO Optimization Approach (iDA-PSO) solution is better than that obtained by particle swarm optimization and grey wolf optimizer (PSO-grey wolf optimizer (GWO)), which is documented in the literature, for solving this UC problem

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Summary

Introduction

The development of electricity markets has made it even more crucial to determine the optimal generator schedule to minimize costs while meeting load demand. The priority list method is fast and easy to implement, but it cannot confirm the quality of the solution for the same reason as LR Apart from these traditional techniques, many metaheuristic algorithms have been applied, such as; genetic algorithms (GA) [16], particle swarm optimization (PSO) combined with the Lagrangian relaxation (PSO-LR) [17], evolutionary programming (EP) [18], new genetic approach (NGA) [19], local convergence averse binary particle swarm optimization (LCA-PSO) [20], improved binary particle swarm optimization (IPSO) [20], mutation-based particle swarm optimization (MPSO) [20], a two-stage genetic-based technique (TSGA) [21], inter-coded genetic algorithm (ICGA) [22], binary-coded genetic algorithm (BCGA) [22], simulated annealing (SA) [23], Seeded Memetic algorithm (SM) [23], a hybrid algorithm comprising of particle swarm optimization and grey wolf optimizer (PSO-GWO) [24] and hybrid particle swarm optimization (HPSO) [25]. The simulation results were compared with other algorithms in the literature

Objective Function
Overview of DA-PSO Optimization Algorithm and Related Algorithms
DA-PSO
An Approach of Improving DA-PSO to Solve a Binary Problem
Priority List
Spinning Reserve Constraint Satisfaction
Minimum Up-Time and Down-Time Constraints Satisfaction
Economic Dispatch
The Application of the iDA-PSO Approach for Solving the UC Problem
Section 4.3
Numerical Results
Convergence curve of the forthethe
Schedule
Methods
Conclusions
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