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Purpose

In this paper, a simple novel method based on a judicious combination of nested linear and binary search algorithms (LSA and BSA) has been developed for the first time, enabling the steady-state analysis of the parallel operation of wind-driven self-excited induction generators (SEIGs), very much needed for supplying increased electrical loads.

Design/methodology/approach

Parallel-connected SEIGs supplying both static and induction motor loads have been considered. Firstly, all the parameters of the SEIGs are measured. Then, using these data, the performance of the parallel-connected SEIGs is pre-determined, using the nested LSA and BSA algorithms. The nodal admittance approach has been used for analysing the combined equivalent circuit of the SEIGs by formulating the objective function and thereby determining the operating frequency and the magnetising reactances of the SEIGs, for any given rotor speeds.

Findings

The suggested Nested LSA and BSA approaches are validated by the experimental findings on two, three-phase SEIGs with dissimilar ratings, operated in parallel. It is also demonstrated that the pre-determined performance values closely align with the corresponding experimental results.

Originality/value

The proposed approach requires only a simple programme, eliminating the need for lengthy higher-order polynomials, as well as optimisation techniques like Genetic Algorithms, Particle Swarm Optimisation and the Cuckoo search algorithm. Simple flowcharts have been used to describe the procedures and stages involved in sequencing the entire operation. The developed analysis is found to be quite easy to implement.

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