# Reverse Search Strategy Based Optimization Technique to Economic Dispatch Problems with Multiple Fuels

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## Abstract

This research article constitutes an efficient way to extract the minimum fuel cost for the economic dispatch problem considering multiple fuel options along with valve point effects. In general one convex cost function for one generator is assumed. The piecewise quadratic cost function is represented by selecting the convex cost function more than one for a generator. A new approach referred as Power Search Algorithm (PSA) based on reverse search strategy is suggested along with various constraints in ED. The proposed algorithm has been evaluated on a ten unit multi-fuel system for various power demands with different fuel input options. The outcomes acquired from the simulation are of good quality and furthermore it reveals that the proposed algorithm performs superior than the various algorithms discussed.

## Keywords

Economic dispatch (ED) Multi-fuel option (MFO) Power search algorithm (PSA) Prohibited operating zones (POZ) Reverse search approach (RSA) Valve-point effects (VPE)## List of Symbols

- P
_{D} Power demand

- P
_{i} Power input

- P
_{i}^{max} Maximum power input

- P
_{i}^{min} Minimum power input

- P
_{L} Power loss

- k
Numerical variable

- T
_{c(min)} Minimum fuel cost

- T
_{cn(min)} Redefined minimum fuel cost

## Abbreviations

- HM
Hierarchical modelling

- AHNN
Adaptive Hopfield neural network

- HNN
Hopfield neural network

- EP
Evolutionary programming

- MPSO
Modified particle swarm optimization

- AIS
Artificial immune system

- GA-COP
Genetic algorithm-combinatorial optimization problem

- CCF
Composite cost function

- IPSO
Improved particle swarm optimization

- HGA
Hybrid genetic algorithm

- IBT
Improved bat algorithm

- SDE
Self-adaptive differential evolution

- PSA-RSA
Power search algorithm-reverse search approach

## Notes

### Acknowledgements

The authors thank the management of Sri Krishna College of Technology and Sri Ramakrishna Engineering College, Coimbatore for providing their continuous support for completing this research work.

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