Varmeter | Single Phase and Polyphase Varmeter

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Key learnings:
  • Varmeter Definition: A varmeter is defined as an instrument used to measure the reactive power in an electrical circuit.
  • Single Phase Varmeter: In single-phase varmeters, the pressure coil voltage leads the coil current by 90 degrees, and the reading represents the reactive power.
  • Polyphase Varmeter: Polyphase varmeters use two auto-transformers in an open delta configuration to create a phase shift for measuring reactive power.
  • Reactive Power Measurement: Reactive power is crucial to measure because high reactive power leads to a poor power factor and increased losses.
  • Harmonics Limitation: Single-phase varmeters may not measure reactive power accurately if harmonics are present in the circuit.

Instruments that measure reactive power in a circuit are called varmeters. Reactive power in a circuit is calculated using the formula VIsinA.
Here there is no need to give an explanation about the physical meaning of reactive power, as only a mathematical relation is sufficient. Measurement of reactive power is essential because if the reactive power is more in the circuit then the electrical power factor will be poor hence losses will be more. On the basis of power supply, the varmeters can be classified as

  1. Single phase varmeters
  2. Polyphase varmeters.

We are going to discuss both types of varmeters one by one.

Single Phase Varmeter

In single-phase varmeters, the pressure coil is highly inductive, causing the voltage across it to lead the coil current by 90 degrees. The coil current is the load current, which has a phase difference of angle A with the supply voltage. The varmeter reading represents the reactive power.

which is mathematically equals to the reactive power of the circuit.
Given below is the circuit diagram of single phase varmeter.
vermeter

Let us make the phasor diagram for the above circuit by taking reference axis as voltage axis.
The pressure coil current lags voltage by an angle of 90o which is clearly shown in the phasor diagram.
phasor diagram of single phase varmeter

Now there are some demerits of using this varmeter as it do not measure reactive power correctly when harmonics are present.

Polyphase Varmeter

The two auto-transformers are used to create the phase shifting (which is necessary for the measurement of reactive power), when connected in open delta configuration. Current coils of both the wattmeter are connected in series with supply line 1 and 3.

While pressure coils are connected in parallel as shown in the diagram given below-
polyphase varmeter
Both the auto-transformers can produce maximum of 115.4% of the line voltage as marked in the diagram. Tapping on both the transformers are given at 57.7%, 100% and 115.4%. One of the end of the pressure coil of wattmeter (marked as one) is connected to 115.4 % of tapping of auto-transformer-2 while other end is connected to 57.7 % tapping of auto-transformer-1. Due to this connection voltage produces across the pressure coil of wattmeter one is equal to line voltage but shifted by an angle of 90o. The power shown by wattmeter thus equal to reactive power. Similarly the pressure coil of wattmeter 2 is connected showing same voltage equal to line voltage but differ in phase and this difference in phase is equal to again 90o. Now the arithmetic sum of both readings of the wattmeters is equal to total reactive power of circuit.

Note that reactive power in three phase balanced circuit can be measured by single wattmeter method. This circuit diagram is shown below-
reactive power in three phase circuit measured by single wattmeter
The current coil is connected in series with line 2 as shown in the diagram. The pressure coil is connected between the line 1 and line 2. The reading of the wattmeter will measure the reactive power.

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