Abstract

The paper presents a state estimation of a power system with a phase shifter. A new versatile model of the phase shifter for steady state analyses is introduced. The mentioned model allows for consideration of different types of phase shifters. In the paper, original investigations of properties of the state estimation for a power system with a quadrature booster (to be one of types of phase shifters) are performed. The state estimation is considered in the rectangular coordinate system. During the investigations, impact of data redundancy on such parameters of the state estimation as: the number of iterations, a condition number of a coefficient matrix, parameters characterizing accuracy of calculation results are taken into account. At the end of the paper, conclusions from the conducted investigations are presented. DOI: http://dx.doi.org/10.5755/j01.eie.24.1.20155

Highlights

  • Nowadays, phase shifters are more and more frequently used in power systems for power flow control

  • A model of a power system influences calculations made for this system, in particular, state-estimation calculations [6] enabling to obtain the reliable estimate of the powersystem state vector

  • For different MD numbers and load variants, Largest-Number-of-Cases Intervals (LNC_Is) of ratio Je/Jm are in a range of larger values for SE_PS + QB than for SE_PS

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Summary

Introduction

Phase shifters are more and more frequently used in power systems for power flow control. Their immanent property is possibility of control of phase angles of voltages in power systems. Changing the phase shift between terminal voltage phasors, the phase shifter regulates power flow through a power line [1]–[5]. The considered type of the phase shifter is a quadrature booster [7]–[9]. The quadrature booster derives a voltage from the supply that is phase-shifted by 90 and re-applied to the voltage before it In this way one forms the voltage at the beginning of a power line, of which phase is different than the phase of the voltage before the phase shifter

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