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Analytical modeling of fault current limiter with coreless variable series reactor

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A Correction to this article was published on 14 October 2023

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Abstract

Coreless fault current limiter with variable series reactor is an emerging technology for limiting the amplitude and shortening the fault duration in the power network with simple and reversible operation. The device includes two coaxial, coreless reactors with axial mobility to vary and increase the effective inductance of the network during the short circuit fault. The reactors are automatically returned back to their initial position after the fault is cleared, with minimal net inductance. This paper aims to analytically describe the electromagnetic theory and validate the functionality of the device. For this purpose, the resistance and inductance of the device are first computed at normal condition via the basic theory of engineering electromagnetics. Next, the respective electromechanical performance characteristics such as force, positional displacement of the reactors, and the effective inductance are calculated at the faulty condition. For verification purposes, analytical results are compared against the finite element model.

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Change history

Abbreviations

V :

Network voltage

λ :

Flux linkage

L Line :

Line inductance

L FCL :

FCL inductance

R Line :

Line resistance

R FCL :

FCL resistance

x :

Position of the reactor coils

ν :

Speed of the reactor coils

e :

Moving induced voltage

V m :

Amplitude of network phase voltage

α :

Network voltage phase angle

θ :

Network impedance phase angle

ω :

Frequency

Z :

Network Thevenin

F :

Electromagnetic force

F gravity :

Gravity force

F spring :

Spring force

m :

Reactor’s mass

a :

Acceleration

k :

Spring constant

g :

Gravity

ν 0 :

Initial speed

x 0 :

Initial position

L :

Self-inductance of coil

M :

Mutual inductance between coils

l :

Length of the coil

r :

Mean radius of the coil

N :

Turn number

A :

Cross section of the conductor

R :

Resistance of the coil

L :

Self-inductance

b :

Height of the coil

h :

Width of the coil

R I :

Radius of outer coil

R II :

Radius of inner coil

C :

Distance between centers of the two coils

F(k):

Complete elliptic integrals of the first kind

E(k):

Complete elliptic integrals of the second kind

I 1 :

Current passing through outer coil

I 2 :

Current passing through inner coil

x 1 :

Position of the inner coil

x 2 :

Position of the outer coil

x total :

Distance between the two coils

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Yazd University, Yazd, Iran

    Moslem Amini & Aliakbar Damaki Aliabad

  2. Department of Electrical Engineering, California State University, Long Beach (CSULB), Long Beach, USA

    Ebrahim Amiri

Authors
  1. Moslem Amini
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  2. Aliakbar Damaki Aliabad
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  3. Ebrahim Amiri
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Contributions

All authors contributed to the whole processes including conceptualization, development of the methodology and data curation. Software: 3-D FE software package was used in this article. Writing—original draft MA wrote the original draft with the help of the other two authors. Writing—Reviews and Editing the three authors reviewed the original article and worked in the definitive article.

Corresponding author

Correspondence to Aliakbar Damaki Aliabad.

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Aliakbar Damaki Aliabad Mail: alidamaki@yazd.ac.ir

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Amini, M., Damaki Aliabad, A. & Amiri, E. Analytical modeling of fault current limiter with coreless variable series reactor. Electr Eng 106, 673–686 (2024). https://doi.org/10.1007/s00202-023-02009-9

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