The impedance voltage of a transformer is calculated using the formula:
Impedance Voltage (Vz) = Impedance (Z) × Rated Current (I)
Where:
Impedance (Z) is the total impedance of the transformer in ohms. It includes both the resistance and reactance components of the transformer's impedance.
Rated Current (I) is the rated current of the transformer in amperes.
The impedance of a transformer is typically given as a percentage of its rated voltage (or rated apparent power). It is the ratio of the rated voltage to the rated current required to circulate full-load current through the transformer when it is short-circuited on the secondary side.
Mathematically, impedance can be expressed as:
Impedance (Z) = Rated Voltage (V) / Rated Current (I)
Where:
Rated Voltage (V) is the rated voltage of the transformer in volts.
Rated Current (I) is the rated current of the transformer in amperes.
Keep in mind that the impedance voltage represents the voltage drop across the transformer's impedance when carrying rated current at its rated voltage. It is a measure of how much voltage is lost due to the transformer's internal impedance and is typically expressed as a percentage of the rated voltage.
In some cases, you might encounter impedance values specified as a percentage, like "X% impedance." To convert this to an impedance value in ohms, you can use the following formula:
Impedance (Z) = (Rated Voltage / 100) / X%
Where:
Rated Voltage is the rated voltage of the transformer in volts.
X% is the percentage impedance specified.
Once you have the impedance value in ohms, you can calculate the impedance voltage using the formula mentioned earlier. Keep in mind that impedance values can differ between transformers, and they play a significant role in determining voltage regulation and fault currents in the power system.