Ferroresonance in electricity networks
Open-knowledge reference entry

Ferroresonance, or nonlinear resonance, is a rare type of resonance in electric circuits which occurs when a circuit containing a nonlinear inductance is fed from a source that has series capacitance, and the circuit is subjected to a disturbance such as opening of a switch. It can cause overvoltages and overcurrents in an electrical power system and can pose a risk to transmission and distribution equipment and to operational personnel.
Ferroresonant effects were first described in a 1907 paper by Joseph Bethenod. The term ferroresonance was apparently coined by French engineer Paul Boucherot in a 1920 paper, in which he analysed the phenomenon of two stable fundamental frequency operating points coexisting in a series circuit containing a resistor, nonlinear inductor and a capacitor.
Technical description
In general, "attempts to set precise limits for prevention of the phenomenon have been frustrating", and no complete model of the underlying physics is known. However, ferroresonance generally occurs when a transformer driving a system with primarily reactive (large imaginary part) impedance experiences perturbation to a single electrical phase. The transformer must be operating close to its saturation point, at which a real transformer's leakage inductance decreases dramatically.
Following perturbation, the transformer oscillates in and out of the saturated and unsaturated modes of operation each cycle, such that the cycle-average inductance cancels out the power line impedance. In situations where the primary impedance on the line is the several-hundred-picofarad shunt capacitance to ground, the combined transformer-power line system effectively acts as a low-impedance fault.
A nonlinear oscillation, ferroresonance exhibits substantial differences from a classical LC circuit.
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