When a transformer is switched on from the primary side while keeping its secondary circuit open, it acts as a simple inductance. When the electrical power transformer runs normally, the flux produced in the core is in quadrature with applied voltage as shown in the figure below.
The flux wave will reach its maximum value, 1/4 cycle or π/2 angle later, reaching the maximum value of the voltage wave. As per the waves
This is because the rate of energy transfer to a circuit cannot be infinity. So the flux in the core also will start from its zero value at the time of switching on the transformer. According to Faraday’s law of electromagnetic
If the transformer is switched on at the instant of voltage zero, the flux wave is initiated from the same origin as voltage waveform, the value of flux at the end of first half cycle of the voltage waveform can be calculated using:
Where φm is the maximum value of the steady-state flux. The transformer core is generally saturated just above the maximum steady state value of flux. But in our example, when switching on the transformer the maximum value of flux will jump to double its steady state maximum value.
Magnetizing inrush current in transformer is the current which is drown by a transformer at the time of energizing the transformer. This current is transient in nature and exists for few milliseconds. The inrush current may be up to 10 times higher than normal rated current of transformer.
Although the magnitude of inrush current is so high but it generally does not create any permanent fault in transformer as it exists for very small time. But still inrush current in power transformer is a problem, because it interferes with the operation of circuits as they have been designed to function. Some effects of high inrush include nuisance fuse or breaker interruptions, as well as arcing and failure of primary circuit components, such as switches. High magnetizing inrush current in transformer also necessitate over-sizing of fuses or breakers. Another side effect of high inrush is the injection of noise and distortion back into the mains.