Abstract

This study compares two efficient formulations to solve corrective as well as preventive security-constrained (SC) DC-based optimal power flow (OPF) problems using linear sensitivity factors without sacrificing optimality. Both SCOPF problems are modelled using two frameworks based on these distribution factors. The main advantage of the accomplished formulation is the significant reduction of decision variables and—equality and inequality—constraints in comparison with the traditional DC-based SCOPF formulation. Several test power systems and extensive computational experiments are conducted using a commercial solver to clearly demonstrate the feasibility to carry out the corrective and the preventive SCOPF problems with a reduced solution space. Another point worth noting is the lower simulation time achieved by the introduced methodology. Additionally, this study presents advantages and disadvantages for the proposed shift-factor formulation solving both corrective and preventive formulations.

Highlights

  • Carpentier introduced the optimal power flow (OPF) problem in 1960 [1]

  • Several simulations are conducted using short- and large-scale electrical power systems to find out the performance of both corrective and preventive SCOPF formulations

  • SCOPF Formulation Applied to an Example Power System (6-Bus)

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Summary

Introduction

Carpentier introduced the optimal power flow (OPF) problem in 1960 [1]. The optimal result obtains the economic dispatch and transmission power flows. The power flow solution must meet technical power generation and transmission network limits. In real-time operation, power system operators (Independent System Operators (ISOs) and Regional Transmission Organizations (RTOs)) must execute a lot of N−1 power flows very quickly taking into account generation and transmission (lines or tranformers) failures to obtain a safe condition after a contingency event [5]. Security studies should guarantee that the power flow result will be maintained below the thermal limit and overloading conditions in the transmission elements will be mitigated to avoid undesirable operational effects.

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