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Load frequency controller design of a two-area system composing of PV grid and thermal generator via firefly algorithm

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Abstract

In this paper, firefly algorithm (FA) for optimal tuning of PI controllers for load frequency control of hybrid system composing of photovoltaic (PV) system and thermal generator is introduced. Also, maximum power point tracking of PV is considered in the design process. The block diagram of the hybrid system is performed. To robustly tune the parameters of controllers, a time-domain-based objective function is established which is solved by the FA. Simulation results are presented to show the improved performance of the suggested FA-based controllers compared with genetic algorithm (GA). These results show that the proposed controllers present better performance over GA in terms of settling times and different indices.

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Author information

Authors and Affiliations

  1. Electric Power and Machine Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt

    S. M. Abd-Elazim & E. S. Ali

Authors
  1. S. M. Abd-Elazim
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  2. E. S. Ali
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Correspondence to E. S. Ali.

Appendix

Appendix

The system data are as shown below:

  1. (a)

    The parameters of the thermal system: \( T_{\text{P}} \) = 20 s; \( T_{\text{t}} \) = 0.3 s; \( T_{\text{r}} \) =10 s; \( T_{12} \) = 0.545 p.u; \( T_{\text{g}} \) = 0.08 s; \( K_{\text{P}} \) = 120 Hz/p.u MW; B = 0.8 p.u MW/Hz; \( a_{12} \) = −1; \( R \) = 0.4 Hz/p.u MW; \( K_{r1} \) = 0.33p.u MW.

  2. (b)

    The parameters of FA: the contrast of the attractiveness = 1.0; the attractiveness = 0.1 at \( r = 0 \); randomization parameter \( (\alpha ) \) = 0.1; maximum number of generations = 100; number of fireflies = 50.

  3. (c)

    The parameters of GA are as follows: max generation = 100; population size = 50; crossover probabilities = 0.75; mutation probabilities = 0.1.

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Abd-Elazim, S.M., Ali, E.S. Load frequency controller design of a two-area system composing of PV grid and thermal generator via firefly algorithm. Neural Comput & Applic 30, 607–616 (2018). https://doi.org/10.1007/s00521-016-2668-y

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