Optimal PMU placement for fault location in a power system

Pokharel, Shiva Prasad; Brahma, Sukumar

doi:10.1109/naps.2009.5484002

Cited by 25 publications

(30 citation statements)

References 6 publications

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“…The purpose of PMU placement optimization is to accomplish complete fault observability with the minimum number of PMUs. A line is fault observable if the voltage at the two ends of the line and the current at only one end of the line are known . The PMU placement problem can be defined and solved using the binary integral linear programming technique as follows:

\min . f = true {truefalse\sum}_{i = 1}^{N} w_{i} x_{i}

such that \forall lines ((),, i, j), F_{i, j} : x_{i} + x_{j} \geq 1

x is a binary decision variable vector, defined as

x_{i} = ({, \begin{matrix} center & 1 & if normala normalP normalM normalU is installed normalat bus i \\ center & 0 & otherwise \end{matrix})

w i is the cost of the PMU located at bus i .…”

Section: Methodsmentioning

confidence: 99%

A backup wide‐area protection technique for power transmission network

Elghazaly

Emam

Saber

2017

IEEJ Transactions Elec Engng

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This paper proposes a wide‐area backup protection technique for transmission lines using a limited number of synchronized phasor measurement units. A binary integral linear programming is used for optimal placement of phasor measurement units to achieve fault observability. The positive‐sequence voltage and current components are utilized for the detection and location of transmission lines faults. The proposed technique considers the randomness of faults on the transmission grid, different fault types, frequency fluctuations, synchronization and measurement errors, different fault inception angles, and different fault resistances, as well as various loading conditions. The proposed scheme is applied to the Western System Coordinating Council (WSCC) 9‐bus test system and the New England 39‐bus test system. Simulation results prove that the proposed protection scheme can detect and locate all transmission line faults correctly. © 2017 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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\min . f = true {truefalse\sum}_{i = 1}^{N} w_{i} x_{i}

such that \forall lines ((),, i, j), F_{i, j} : x_{i} + x_{j} \geq 1

x is a binary decision variable vector, defined as

x_{i} = ({, \begin{matrix} center & 1 & if normala normalP normalM normalU is installed normalat bus i \\ center & 0 & otherwise \end{matrix})

w i is the cost of the PMU located at bus i .…”

Section: Methodsmentioning

confidence: 99%

A backup wide‐area protection technique for power transmission network

Elghazaly

Emam

Saber

2017

IEEJ Transactions Elec Engng

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“…Optimal placement of phasor measurement units (PMUs) for fault observability is studied in , . The author of formulates an optimization problem so that fault location can be performed using the bus impedance matrix and by only voltage measurements, which can be distant from the fault line.…”

Section: Introductionmentioning

confidence: 99%

“…The author of formulates an optimization problem so that fault location can be performed using the bus impedance matrix and by only voltage measurements, which can be distant from the fault line. Other methods for fault‐location observability separate the entire network into smaller sub networks and ensure the possibility of accurate two‐ or multi‐ended fault location for each of them. However, these methods may not lead to the minimum number of PMUs.…”

Section: Introductionmentioning

confidence: 99%

“…Wide-area impedance based fault-location methods utilizing the bus impedance matrix of the network and synchronized voltage and current measurements, which are not necessarily taken from the fault line, are presented in [18][19][20]. These impedance-based methods use both pre-and post-fault measurements and model the fault current sources as voltage source behind constant known impedance.Optimal placement of phasor measurement units (PMUs) for fault observability is studied in [18], [21,22]. The author of [18] formulates an optimization problem so that fault location can be performed using the bus impedance matrix and by only voltage measurements, which can be distant from the fault…”

mentioning

confidence: 99%

“…line. Other methods [21,22] for fault-location observability separate the entire network into smaller sub networks and ensure the possibility of accurate two-or multi-ended fault location for each of them. However, these methods may not lead to the minimum number of PMUs.…”

mentioning

confidence: 99%

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A new algorithm for fault location on transmission lines by optimal PMU placement

Jegarluei

Dobakhshari

Ranjbar

et al. 2014

Int. Trans. Electr. Energ. Syst.

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Summary In this paper, the problem of placing a minimum number of phasor measurement units (PMUs) in a transmission system is considered so that faults on all lines of the network can be diagnosed and located irrespective of their locations. For this purpose, a PMU placement algorithm is applied to calculate the required data for impedance‐based fault location of any fault line in the network, achieving the full potential of the circuit laws throughout the system. Another algorithm is then proposed to compute the voltage and current values of the fault line for fault‐location purposes. Moreover, as many networks are already equipped with PMUs, the proposed algorithm makes it possible to locate faults on more lines of such networks compared to previous methods. The proposed algorithm for PMU placement is examined for 14, 30, 39 and 118 bus IEEE test systems. Additionally, fault location by synchronized voltage and current measurements, which can be remote from the faulted line, is performed on the 118‐bus IEEE test system. Copyright © 2014 John Wiley & Sons, Ltd.

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