Abstract

This paper presents an improved Teaching-Learning-Based Optimization (TLBO) for optimal tuning of power system stabilizers (PSSs) and static VAR compensator (SVC)-based controllers. The original TLBO is characterized by easy implementation and is mainly free of control parameters. Unfortunately, TLBO may suffer from population diversity losses in some cases, leading to local optimum and premature convergence. In this study, three approaches are considered for improving the original TLBO (i) randomness improvement, (ii) three new mutation strategies (iii) hyperchaotic perturbation strategy. In the first approach, all random numbers in the original TLBO are substituted by the hyperchaotic map sequence to boost exploration capability. In the second approach, three mutations are carried out to explore a new promising search space. The obtained solution is further improved in the third strategy by implementing a new perturbation equation. The proposed HTLBO was evaluated with 26 test functions. The obtained results show that HTLBO outperforms the TBLO algorithm and some state-of-the-art algorithms in robustness and accuracy in almost all experiments. Moreover, the efficacy of the proposed HTLBO is justified by involving it in the power system stability problem. The results consist of the Integral of Absolute Error (ITAE) and eigenvalue analysis of electromechanical modes demonstrate the superiority and the potential of the proposed HTLBO based PSSs and SVC controllers over a wide range of operating conditions. Besides, the advantage of the proposed coordination design controllers was confirmed by comparing them to PSSs and SVC tuned individually.

Highlights

  • The effectiveness of the used optimization algorithms are evaluated via a set of benchmark functions with different characteristics listed in Tables 1–3, where Dim and range indicates the dimension and the boundary of the search space, respectively

  • The results demonstrate that the proposed HTLBO required less mean number of functions evaluations (MeanFes) and had a higher success rate than all comparative algorithms for test functions f 10, f 11, f 12, f 13, f 15, f 16 and f 18

  • The proposed algorithm improves the overall performance of the original counterpart by involving three approaches, i.e., replacement of the random numbers in search equations by the hyperchaotic sequences generated by the hyperchaotic map, implementation of three new mutation equations, and hyperchaotic perturbation

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Summary

Research Background

Several methods have been involved in the resolution of engineering problems. These techniques are characterized by different approaches in the process of finding the optimal solutions. Some of these methods imitate the natural processes and are named metaheuristics. The latter techniques have shown concurrent results for handling harsh engineering problems such as power system dispatch and stability [1,2], energy commitment problems [3], energy management of micro-grid [4], and manufacturing industry [5]

Literature Review
Contributions
Structure of the Manuscript
Preliminaries
The 5D Hyperchaotic System
Randomness Improvement
New Hyperchaotic Perturbation Strategy
Numerical Results from Benchmark Testing
Solution Accuracy of the Used Algorithms
Comparison of Convergence
Statistical Tests
Study System Modeling
Synchronous Machine Model
Excitation System with PSS Controller
Structure of the SVC-Based POD Controller
Damping Controllers Design
Simulation Results
Method
Conclusions
Full Text
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