Transformer Magnetizing Inrush Current

When energizing a power transformer, the transformer draws magnetizing current. The magnitude of the magnetizing current is several times higher than the rated current of the transformer. Even the magnitude of the inrush current may rise up to ten times the rated current, and its duration may last in about 10 cycles. The high current at the time of charging creates mechanical stress and noise in the transformer.  

In addition to that, the high magnetizing current creates transients in the electrical network that may affect the operation of the other equipment as well. The magnetizing inrush current deteriorates the useful life of a transformer. Technically, the frequent charging of the transformer must be avoided.

What is a LVDT? | Linear Variable D...
What is a LVDT? | Linear Variable Differential Transformer

TRANSFORMER INRUSH CURRENT

When the voltage is applied to the primary of the transformer, the flux is set up in the core; and some residual flux always remains in the core due to the properties of the core material when the transformer is switched off.

The magnitude of residual magnetic flux can be 50 to 80 percent of the maximum operating flux. The residual flux of the core gets added to the main flux when the transformer is energized. So, the net flux generated within the winding is determined by adding the residual flux of the core with the flux generated by applying a voltage to the primary of the transformer.

When the sinusoidal voltage is applied to the primary of the transformer, the voltage induced in the primary winding is as per the below-given equation.

EMF and flux generation in transformer- Formula derivation

From the above equation, the net flux in the core depends on the residual magnetic flux in the core and depends on the magnitude of the applied voltage at the instant of transformer energization.

If the transformer is energized at t-0 of the applied voltage i.e. at the instant when the voltage waveform cross zero going positive the maximum peak value of flux is:  

Transformer Magnetizing Inrush Current

The maximum peak flux value of the transformer gets increased with residual flux in the transformer.  

Main Reasons of Magnetic Inrush Current

From above, it is evident that the magnetizing inrush current of the transformer depends on the following;

  • The residual magnetic flux in the core
  • Number of the turnsin circuit at the time of energizing transformer
  • Instant of the applied waveform at the transformer is charged.

How to Minimize Magnetic Inrush Current?

The following methods are useful for minimization of the transformer inrush current.

Switching of Transformer at particular instant of Applied Voltage

The charging current magnitude can vary when the transformer is charged at the different instants of the supply waveform. If the transformer is charged at the instant when the waveform is at 90 degrees, there will be no magnetic inrush current. However, if the transformer is charged at the instant when the waveform is at zero degrees crossing, the transformer will draw a high magnetic inrush current.

Therefore the transformer must not be charged at the instant when the input supply waveform crosses zero. The zero-crossing detection can be done and the transformer can be charged at other instants avoiding the zero-crossing point of the waveform.

Reduction in Primary Voltage

At the time of charging of the transformer, a series resistance with primary winding can be inserted to reduce the applied voltage at the primary. After charging the transformer, the series resistance is bypassed for normal operation. To limit the magnetizing inrush current of generating station’s transformer, the generator breaker is made when the generator starts building the voltage; so at the reduced voltage, the inrush current of the transformer is minimum.

Taking Maximum Number of winding turns in the circuit

The flux generated by the primary winding in the transformer is;

basic formula of flux generation in transformer

The flux generated in the primary winding is reciprocal to the number of turns of the primary winding. With the on-load tap changer mechanism, the tap position is reduced to the minimum so that the maximum turns of the primary winding are in the circuit. After charging the transformer, the tap position can be changed as per system requirements.

When the transformer is switched off or tripped with protection faults, the tap changer can be programmed to bring the tap position back to a minimum so that at the time of charging of the transformer the charging current can be reduced.

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  3. Resistance and Leakage Reactance or Impedance of Transformer
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  5. Single Phase Transformer and Applications of Single Phase Transformer
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