2024
DOI: 10.24084/repqj09.604
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Online Thevenin’s Equivalent Using Local PMU Measurements

Abstract: Abstract. This paper presents a method for determiningThevenin's Equivalent (TE) for a node in a power system using local PMU measurements at that node. Three consecutive voltage and current measurements are used to determine the TE. The proposed method recognizes and considers the phase angle drift caused by the slip frequency between the PMU sampling frequency and the power system frequency. The accuracy of the proposed method has been verified through application to the IEEE 30 bus test system as well as to… Show more

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Cited by 8 publications
(11 citation statements)
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“…Arranging the coefficients of , , and the first two terms of ( 22), it can be written as follows: (23) where (24) It may have become clear now that a group of three different measurements can produce a line representing the relationship between the Thèvenin impedance parameters and . As shown by ( 23) and (24), constructing ( 23) is simple and can be done in a structured and systematic way.…”
Section: Methods For Te Determinationmentioning
confidence: 99%
See 1 more Smart Citation
“…Arranging the coefficients of , , and the first two terms of ( 22), it can be written as follows: (23) where (24) It may have become clear now that a group of three different measurements can produce a line representing the relationship between the Thèvenin impedance parameters and . As shown by ( 23) and (24), constructing ( 23) is simple and can be done in a structured and systematic way.…”
Section: Methods For Te Determinationmentioning
confidence: 99%
“…The availability of PMU measurements has opened the door to different possibilities of online determination of the TE and to enhance the system monitoring and control functions using the TE. In [23], a method for determining TE utilizing three PMU measurements, where two circular loci in the Z-plane were defined each using two measurements. The intersection of the two loci determines and hence is determined using the voltage equation for any of the measurements.…”
Section: Introductionmentioning
confidence: 99%
“…A protection boundary setting adjustment method is proposed which uses an equivalent Thevenin's model as in [21]- [23], to obtain relay settings required for prevailing system condition. A load calculation method based on sensitivity of apparent impedance to load change is done which provides change in load values for secure operation of relays.…”
Section: Proposed Methodsmentioning
confidence: 99%
“…The three sets of phasor measurements obtained via WAMS are referred to the same reference. Using three sets of voltage and current measurements, power flow through the line is calculated and the following equations can be written [21], [22]: Considering first two sets of measurement we get:…”
Section: A Relay Boundary Setting Adjustment (Rbsa)mentioning
confidence: 99%
“…In [12], is estimated from an improved recursive method, which uses differential variables to reflect parameters changes. A mathematical equation is proposed in [13] to correcting the phase drift caused by slip frequency between PMU successive phasors. The corrected phasors then is used for TE estimation from a generator terminal.…”
Section: Introductionmentioning
confidence: 99%