**Hopkinson’s Test or Regenerative Test On DC Motor**

**Hopkinson’s test or regenerative test** is a full load test and it requires two identical machines which are coupled to each other.In this test two identical d.c. machines mechanically coupled to each other and simultaneously tested.One is operated as generator another one as the motor, hence we can find the efficiency of two dc machines simultaneously.So output power of dc machines is going to be wasted.The mechanical output of motor given to generator through the shaft to shaft mechanical coupling.And generator’s electrical power supplied to run the motor, where losses will be supplied by the external power source.

#### If there are no losses in the motor-generator set, the electrical power from the generator and mechanical output from the motor are enough to run motor, generator respectively.So no need for any external power supply to the motor.But due to losses, the generator output is not sufficient to drive the motor. Thus motor takes current from the supply to account for losses.

#### Observe circuit diagram of **Hopkinson’s test**. The two shunt dc machines are connected in parallel. In that two machines, one is started as a motor another one operated as the generator.Here the only rotor connections are mentioned, stator connections are not shown for simplicity.

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**Connection Diagram of Hopkinson’s Test**

#### First switch S is kept open. The other machine which is coupled to first will act as the load on first which is acting as the motor. Thus the second machine will act as a generator.With the help of field rheostat speed of the motor is adjusted to the normal value.Note down the observed voltmeter readings.With the help of generator field rheostat voltage of the generator is adjusted up to voltmeter reading is zero.This is to make sure generator voltage is having same magnitude and polarity of that of the supply voltage.By making this we can prevent heavy circulating current flowing in the local loop of armatures on closing the switch.

#### Now close the switch S. The two machines can be put into any load by adjusting their field rheostats. The generator current I2 can be adjusted to any value by increasing the excitation of the generator or by reducing the excitation of the motor. The various reading shown by different ammeters are noted for further calculations.

#### The input to the motor is nothing but the output of the generator and small power taken from the supply. The mechanical output given by motor after supplying losses will, in turn, drive the generator.

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**Calculation of Efficiency by Hopkinson’s Test**

#### We can determine the efficiency of DC machines in two cases.

**Case 1:** *Assuming that the efficiency of both the machines is same.*

**Case 2:** *Assuming both the machines have the same iron loss, friction loss, and windage loss.*

__Case 1:__

__Case 1:__

**Assuming that the efficiency of both the machines is same.**

#### i.e., Motor Input power = Generator Input

__Note:__ The above expression is used to determine the efficiency satisfactorily perfect for a rough test. If the case needs to find more accuracy then the efficiency of the two machines can be determined separately using the below expressions.

__Note:__

__Case 2:__

__Case 2:__