Open Circuit and Short Circuit Test on Transformer( SC/OC)

Open Circuit and Short Circuit Test on Transformer ( SC/OC test)

Mainly two tests carried out on the electrical transformer that are open circuit test and short circuit test of the transformer. also known as SC and OC test of transformer. The reason for doing these tests is to calculate losses and the parameter of the transformer.

Open and short circuit test of transformer help to determine the parameter of the equivalent circuit of the transformer, voltage regulation and efficiency of the single / three phase transformer. this is the main reason for doing SC and OC tests on the transformer. The power required during open circuit test and short circuit test is equal to the power losses occurring in the single or three phase transformer.

Open circuit test or no-load test of transformer

Circuit diagram for performing OC test or no-load test on transformer is shown in the figure
Connection diagram open circuit OC test of transformer
Connection diagram open circuit OC test of transformer


In this diagram voltmeter, ammeter and wattmeter are connected on the low voltage side of the transformer and HV side is left open-circuited.
Rated frequency voltage is applied to the primary side of the transformer that is low voltage side and this applied voltage is varied with the help of auto transformer. when the voltmeter reading equal to the rated voltage of the LV winding. all meter readings are recorded.

Ammeter records no-load current or exciting current Ie since the no-load current is small, the primary leakage impedance drop is negligible. the applied voltage V1 is equal to the induced EMF V1' .
The input power recorded by wattmeter consists of core loss and ohmic loss. the no-load current is about 2 to 6% of full load current and ohmic losses in primary of the transformer vary from 0.04% to 0.36% of full load primary ohmic loss.

In fact, ohmic loss during the open-circuit test is negligible as compared to the normal core losses. hence the wattmeter reading can be considered equal to the core losses.

Phasor diagram for open circuit test of transformer is shown in below figure
Phasor Diagram of Open Circuit Test transformer
Phasor Diagram of Open Circuit Test
Parameters are obtained from open circuit test on the transformer and equivalent circuit diagram of OC test of transformer shown below
Equivalent circuit under open circuit O.C test
Equivalent circuit under open circuit O.C test

calculations of open circuit tests :


Calculation no-load power factor cos θ = 
Calculate no load power factor open circuit test transformer

Calculation magnetizing current Im
Calculation magnetizing current


Calculation core loss component of current Ic
Calculation core loss component of current oc transformer test

Magnetising  reactance Xm (LV)

Resistance representing core loss

Short circuit test

circuit diagram short circuit test transformer
circuit diagram short circuit test transformer

Why short circuit test is done on transformer? 

The purpose of the short circuit test is to find out losses in transformer and equivalent circuit parameters. In short circuit test of transformer low voltage side of the transformer is short-circuited and ammeter, voltmeter, and wattmeter are connected on the HV side. applied voltage to HV side is adjusted by autotransformer.

In the transformer primary side, mmf is almost equal to the secondary mmf , therefore rated current in the primary that is HV winding causes to flow rated current in secondary that is LV winding.
2 to 12% of the rated voltage is sufficient to drive rated current in both primary and secondary winding.

Parameters are obtained from S.C  test (short circuit test on transformer) equivalent circuit diagram for short circuit test of the transformer shown below
Equivalent circuit under short circuit S.C test
Equivalent circuit under short circuit S.C test

calculations of short circuit (SC) tests :


Equivalent resistance referred to HV side re (HV)
Equivalent resistance ref. to HV side sc test transformer

Equivalent impedance ref. to HV side ze(HV)

 impedance formula  reffer to HV side sc test transformer

Equivalent leakage reactance ref. to HV side xe(HV)
 leakage reactance formula refffer to HV side sc test transformer

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