Three voltmeter method

Three voltmeter method for measurement of power:

As we know, wattmeters are used for measurement of power in inductance AC circuits, but in some cases it is not possible to use wattmeters because of their incorrect readings or sometime wattmaters may not available. So in such cases three voltmeters or three ammeter method is used for measurement of power.

Three voltmeter method:

Following figure shows the circuit diagram for three voltmeter method.

Three voltmeter method

Three voltmeter method

Three voltmeter method vector diagram

Three voltmeter method vector diagram

V1, V2 and V3 are the three voltmeters and R is a non-inductive resistance connected in series with the load as shown in figure.

From the phasor diagram, we have:


The assumptions are made that the current in the resistor R is same as the load current.


  • Supply voltage higher than normal voltage is required because an additional resistance R is connected in series with the load Z (inductive circuit).

  • Even small errors in measurement of voltages may cause serious errors in the value of power determined by this method.

Let us solve one simple numerical example based on three voltmeter method for clear understanding.

Example 1:

The following readings were obtained from three voltmeters used for a single phase power measurement:

V2 = 180 voltas across a non-inductive resistaor; V3 = 200 volts across an inductive load; V1 = 300 volts across the two in series.

Calculate the power factor of the inductive load.


Given: V2 = 180 V; V3 = 200 V; V1 = 300 V

Power factor, cos ? = (V1^2 – V2^2 – V3^3)/2V2V3

Or cos ? = [(300^2) – (180^2) – (200^2)]/(2*180*200) = 0.244   (Ans.)

You may also like:

tags: three voltmeter method three voltmeter method inductance measurement three voltmeter method manual three voltmeter method 2010 3 voltmeter method three voltmeter method.

Post a Comment


  1. I definitely enjoying every little bit of it. It is a great website and nice share. I want to thank you. Good job! You guys do a great blog, and have some great contents. Keep up the good work. pls visit our website Linear Motor Magnetics

  2. I’m genuinely impressed with your knowledge. You have shared good knowledge by this blog. It was a really attractive blog. Please keep sharing your post with us.test and tag adelaide.

  3. The content you've posted here is fantastic because it provides some excellent information that will be quite beneficial to me. Thank you for sharing about test and tag company. Keep up the good work.

  4. Your blog contains lots of valuable data about Enclosure accessories. It is a factual and beneficial article for us. Thankful to you for sharing an article like this.

  5. A very delightful article that you have shared here about watlow 4ft. Your blog is a valuable and engaging article for us, and also I will share it with my companions who need this info. Thankful to you for sharing an article like this.