Abstract

The problem of Maximum Loadability of power systems is addressed in this paper using a proposed dynamic JAYA algorithm. The maximum loadability problem is a typical optimization problem in which the maximum loadability point is to be determined optimally. Voltage stability of power systems is maintained by determining the estimated margin between the system operating point and the maximum loadability limit. The basic JAYA algorithm has been introduced to solve foremost optimization problems with small-scaled nature. However, when applied to large-scale, nonlinear and non-convex constrained problems, it showed a poor convergence characteristic. In order to deal with these weaknesses, the original algorithm has been improved by adding some dynamic features to its convergence behavior. The modified algorithm has been presented and validated when applied to well-known typical power systems. The obtained results were compared to the results achieved by other equivalent optimization techniques.

Highlights

  • Voltage instability is one of the common operation problems accompanying power system networks as a result of various operating conditions

  • Voltage collapse can be experienced in different parts of the network [1]. They are linked to each other, maximum loadability and voltage stability concepts should not be mixed up

  • One should think of maximum loadability problem considering the system static characteristics and not limited by the voltage stability aspects

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Summary

INTRODUCTION

Voltage instability is one of the common operation problems accompanying power system networks as a result of various operating conditions. Optimization methods in general can be classified as classic deterministic and heuristic non-deterministic techniques Many of these have been applied to solve the maximum loadability optimization problem. The JAYA algorithm is one of the heuristic non-calculus-based approaches that have been applied for optimization problems. In spite of its popularity and simplicity due to the limited number of parameters it requires, the basic JAYA algorithm suffers from significant convergence issues This poor convergence behavior can be observed when applying the basic algorithm to nonlinear, non-smooth high-scaled optimization problems with nonlinear constraints. A modified adaptive JAYA algorithm, MAJAYA, is presented and applied to determine the maximum loadability limit of power systems.

Objective Function
Constraints
The Basic JAYA Algorithm
The Modified Adaptive JAYA Algorithm
SIMULATION RESULTS
CONCLUSIONS
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