A Non-Convex Economic Dispatch Problem with Point-Valve Effect Using a Wind-Driven Optimisation Approach

Nur Fariza Ramli; Nor Azwan Mohamed Kamari; Syahirah Abd Halim; Mohd Asyraf Zulkifley; Mohd Saiful Mohd Sahri; Ismail Musirin

doi:10.1007/s42835-021-00859-6

A Non-Convex Economic Dispatch Problem with Point-Valve Effect Using a Wind-Driven Optimisation Approach

J Electr Eng Technol. 2022;17(1):85-95. doi: 10.1007/s42835-021-00859-6. Epub 2021 Aug 9.

Authors

Nur Fariza Ramli¹, Nor Azwan Mohamed Kamari^{1

2}, Syahirah Abd Halim¹, Mohd Asyraf Zulkifley¹, Mohd Saiful Mohd Sahri³, Ismail Musirin⁴

Affiliations

¹ Department of Electrical, Electronic and Systems Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi, Selangor Malaysia.
² Institute of IR4.0, Universiti Kebangsaan Malaysia, Bangi, Selangor Malaysia.
³ Japan University Programme, Malaysia France Institute, Universiti Kuala Lumpur, Bangi, Selangor Malaysia.
⁴ Faculty of Electrical Engineering, Universiti Teknologi Mara, Shah Alam, Selangor Malaysia.

Abstract

This study presents the efficiency of the wind-driven optimisation (WDO) approach in solving non-convex economic dispatch problems with point-valve effect. The best economic dispatch for a power system is one wherein the system can generate energy at a low cost. The calculation of the generating cost is subject to a number of constraints, such as the power demand for the entire system and the generation limit for each generator unit in the system. In addition, the system should also produce low power loss. The WDO optimisation technique is developed based on the concept of natural wind movement, which serves as a stabiliser to equalise the inequality of air pressure in the atmosphere. One major advantage of WDO over other techniques is its search accuracy. The proposed algorithm has been implemented in two systems, namely, the 10-generator and 40-generator systems. Both systems were tested in a Matlab environment. To highlight the capabilities of WDO, the results using this proposed technique are compared with the results obtained using flower pollination algorithm, moth flame optimisation, particle swarm optimisation and evolutionary programming techniques to determine the efficiency of the proposed approach in solving economic dispatch. The simulation results show the capability of WDO in determining the optimal power generation value with minimum generation cost and low rate of power loss.

Keywords: Evolutionary programming; Flower pollination algorithm; Moth flame optimisation; Non-convex problem formulation; Particle swarm optimisation; Wind driven optimisation.