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Superconducting fault current limiter. Single coil with ferrite core - QuickField simulation example

This simulation example is prepared by Professor James R. Claycomb as a part of the webinar Fault Current Limiter Simulations using QuickField.
Fault current in a superconducting limiter consisting of a single excitation coil with a ferrite core and a superconducting shielding element.

Engineering question

How to calculate fault current in a superconducting fault current limiter?

Answer
Solve the AC-magnetic limiter for superconducting, intermediate, and normal material states and compare the resulting circuit currents to obtain the fault current.

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Typical applications
superconducting fault current limiters, inductive protection reactors, grid protection devices

Superconducting fault current limiter. Single coil with ferrite core

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Simulation problem

Problem Type
Axisymmetric problem of AC magnetics.

Geometry
Superconducting fault current limiter. Singe coil with ferrite core Fault current in a superconducting limiter consisting of a single excitation coil with a ferrite core and a superconducting shielding element. Core Core Superconductor Copper winding Fault V

Given
Iron core permeability is 500.
Winding number of turns is 24, conductor cross-section area is 4 mm², copper conductivity is 57 MS/m.
Voltage source is 12 V, frequency 50 Hz.
Superconductor permeability is a non-linear function of magnetic field strength:

Task
Calculate the fault current.

Solution
Three problems are simulated:
- superconductor in a superconducting state (μ=10-6);
- superconductor in an intermediate state (BH-curve is specified);
- superconductor in a normal state (μ=1).

Results
The picture shows how the state of the superconductor changes from superconducting to intermediate to normal. The fault current value changes from 799A to 557A to 118A respectively.
Superconducting fault current limiter. Single coil with ferrite core

Video

  • Superconducting fault current limiter. Single coil with ferrite core. Watch on Youtube

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