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Why is it not good to operate a transformer above its nominal voltage?

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Overexcited Transformer.
Operation above the rated supply voltage causes the ferromagnetic core to enter saturation; this means that the primary inductance is reduced and since the primary current is limited by primary resistance +inductance then the primary current will increase and possibly cause the primary winding current capacity to be exceeded. Also the iron core hysteresis loss will likely increase and cause the core temperature to rise. We have not considered eddy currents in the core, probably these are less than the hysteresis core loss.

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Addition:
also the stresses that caused by increasing the voltage will over heat the transformer by mean the life time is redused, for example: if the life time for a transformer is 20 years this number will decrease due to operating the transformer on a higher voltages than the rated...
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