A Robust Fractional-Order PID Controller Based Load Frequency Control Using Modified Hunger Games Search Optimizer
Abstract
:1. Introduction
2. System Modeling
2.1. Model of Wind Turbine Plant
2.2. PV Array Model
2.3. Thermal Power Plant Model
- -
- Governor model
- -
- Reheater model
- -
- Turbine model
- -
- Generator model
3. Problem Formulation
4. The Proposed Solution Methodology
4.1. Overview Hunger Games Search Optimizer
- Tuning the ranging controller (): Yang et al. [54] suggested the following equation to implement the animal shrinking manner across the iterations (t):
- Tuning the weights () and (): Yang et al. [54] used the following equations to boost the animals’ manner when looking for their food.
4.2. The Proposed Modified Hunger Games Search Optimizer
Algorithm 1 The non-uniform mutation operator. |
|
Algorithm 2:Steps of MHGS. |
|
5. Simulation and Discussion
5.1. PV Interconnected System
Robustness Evaluation under Variable Disturbance: Two Areas
5.2. Four Interconnected Systems
Robustness Evaluation under Variable Disturbance: Four Areas
6. Conclusions and Perspectives
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Para | Algorithms | ||||||
---|---|---|---|---|---|---|---|
MPA | AEO | EO | RUN | DMV | HGS | MHGS | |
ITAE | |||||||
ITSE | |||||||
IAE |
Specifications | ||||||||
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Algs | RiseTime | SettlingTime | SettlingMin | SettlingMax | Overshoot | Undershoot | Peak | PeakTime |
MPA AEO EO RUN DMV HGS MHGS | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
P | ||||||||
MPA AEO EO RUN DMV HGS MHGS |
Para | Algorithms | ||||||
---|---|---|---|---|---|---|---|
MPA | AEO | EO | RUN | DMV | HGS | MHGS | |
ITAE | |||||||
ITSE | |||||||
IAE |
Specifications | ||||||||
---|---|---|---|---|---|---|---|---|
Algs | RiseTime | Settling Time | Settling Min | Settling Max | Overshoot | Undershoot | Peak | PeakTime |
MPA AEO EO RUN DMV HGS MHGS | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
P | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
P | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
P | ||||||||
MPA AEO EO RUN DMV HGS MHGS | ||||||||
P | ||||||||
MPA AEO EO RUN DMV HGS MHGS |
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Fathy, A.; Yousri, D.; Rezk, H.; Thanikanti, S.B.; Hasanien, H.M. A Robust Fractional-Order PID Controller Based Load Frequency Control Using Modified Hunger Games Search Optimizer. Energies 2022, 15, 361. https://doi.org/10.3390/en15010361
Fathy A, Yousri D, Rezk H, Thanikanti SB, Hasanien HM. A Robust Fractional-Order PID Controller Based Load Frequency Control Using Modified Hunger Games Search Optimizer. Energies. 2022; 15(1):361. https://doi.org/10.3390/en15010361
Chicago/Turabian StyleFathy, Ahmed, Dalia Yousri, Hegazy Rezk, Sudhakar Babu Thanikanti, and Hany M. Hasanien. 2022. "A Robust Fractional-Order PID Controller Based Load Frequency Control Using Modified Hunger Games Search Optimizer" Energies 15, no. 1: 361. https://doi.org/10.3390/en15010361