Abstract

This paper proposes a method for optimal placement of Phasor Measurement Units (PMUs) in state estimation considering uncertainty. State estimation has first been turned into an optimization exercise in which the objective function is selected to be the number of unobservable buses which is determined based on Singular Value Decomposition (SVD). For the normal condition, Differential Evolution (DE) algorithm is used to find the optimal placement of PMUs. By considering uncertainty, a multiobjective optimization exercise is hence formulated. To achieve this, DE algorithm based on Pareto optimum method has been proposed here. The suggested strategy is applied on the IEEE 30‐bus test system in several case studies to evaluate the optimal PMUs placement.

Highlights

  • The Phasor Measurement Units PMUs are used to measure the positive sequence of voltage and current phasors and are synchronized by a global positioning system GPS satellite transmission

  • This paper proposes a method for optimal placement of Phasor Measurement Units PMUs in state estimation considering uncertainty

  • The proposed method for this work is optimization problem with DE algorithm based on Pareto optimum method

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Summary

Introduction

The Phasor Measurement Units PMUs are used to measure the positive sequence of voltage and current phasors and are synchronized by a global positioning system GPS satellite transmission. Disrespecting of consideration to normal condition and explanation about existent different cases for minimum unobservability which is proposed a method for that here to find minimum value for single PMU outage suggested objective function as the best and single line outage in a system as a contingency are the disadvantages of this one. In this paper, both PMU cost/number and uncertainty are considered in PMU placement using a Pareto multi-objective optimization by Differential Evolution algorithm. Several case studies are considered to verify the proposed method

SVD Application for Observability
Detection Unobservable Buses Using SVD
Placement in Normal Condition
Placement with Uncertainty
Single PMU Contingency
Single Line Contingency
Differential Evolution Algorithm
Schemes and Mechanism of DE
Overview of Pareto Optimum Method
DE Algorithm Based on Pareto Optimum Method
Optimal PMU Placement Results in Normal Condition
Optimal PMU Placement Results Considering Single Line Contingency
Conclusion
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