Abstract

This paper addresses the optimal power flow (OPF) issue by using the CONOPT solver for nonlinear programming embedded in the Generalized Algebraic Modeling System (GAMS) software package. The research is performed on both standard IEEE 30-bus test systems and their modified version. The system modification has been done in order to assess the impact of the integrated renewable energy sources, primarily wind energy sources, on the OPF. The obtained results strongly confirm the GAMS/CONOPT efficiency for solving the OPF problem. GAMS/CONOPT always converges to the same optimal solution contrary to many well-known optimization techniques. Additionally, the GAMS/CONOPT requested computation time considerably outperforms that of the other techniques in the field (in all analyzed cases, in the worst situation, more than 30 times). These performances promote GAMS/CONOPT as a very successive tool for solving the real-time OPF problem.

Highlights

  • The energy sector has undergone significant changes over the last few decades

  • This paper addresses the optimal power flow (OPF) issue by using the CONOPT solver for nonlinear programming embedded in the Generalized Algebraic Modeling System (GAMS) software package

  • This paper deals with the application of the CONOPT solver for nonlinear programming (NLP) imbedded in the GAMS software package for the OPF problem

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Summary

INTRODUCTION

The energy sector has undergone significant changes over the last few decades. Technological innovations, economic reasons, and political decisions inspired by environmental protection have led to the emergence of modern power systems. The OPF problem can be solved by using traditional optimization methods[2,3,4,5,6] or by using some of the various population-based optimization techniques.[7–53] The traditional optimization methods, such as the Newton method (NM),[2] gradient projection method (GPM),[3] linear programming method (LPM),[4] interior point method (IPM),[5] and bisection method (BM),[6] require linearization of the objective function or neglecting constrains, and the methods from this group do not guarantee finding the global optimum.

THE OPF PROBLEM FORMULATION
REVIEW OF METHODS DEALING WITH OPF
Literature
Objective function
APPLICATION OF THE GAMS FOR THE OPF PROBLEM SOLVING
Fundamental information about the GAMS program
Comparison of GAMS and other optimization algorithms for solving OPF
Findings
CONCLUSION
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