Watthour meter multipliers are used whenever current transformers and/or voltage transformers are used in a metering circuit. The most often question that I am asked about watthour meter multipliers is how to calculate the watthour meter multiplier. It really is a simple thing to do and this article will explain.
Current Transformers and Potential Transformers
CT’s and PT’s are used to step down current and voltage in a metering circuit to a safe and measurable level. But this leaves us with a little bit of math to do to accurately calculate the number of KWH or kilowatt hours the customer has used.
To calculate the meter multiplier we need to know what the CT ratio and PT ratio are. The best way to explain this is with an example.
Meter Multiplier Example 1
Let’s say for instance that you have a 120/208 three phase 4 wire wye service that is using 400/5 CTs.
How would you determine the watthour meter multiplier? You would simply do the math. 400/5 means 400 divided by 5 and if we do this math we come up with an answer of 80, this is our watthour meter multiplier. What if we had 600/5 CTs? 600 divided by 5 is 120, so our watthour meter multiplier is 120.
Now what if the service that we are metering is a 480v service and we are using PTs? For this example let’s assume we are metering a 480v three phase 4 wire wye service by using 400/5 CTs and 2.4/1 PTs. How do we come up with the watthour meter multiplier in this example? We would use the same method as before to find the CT ratio and do the math of 400 divided by 5 which equals 80 but we are not finished because in this example we also have PTs. Before we do the math let’s remember Ohms’s law which says that Watts = volts x amps. Let’s also remember what we are trying to figure out. We are trying to find the multiplier for the WATThour meter. So to find watts we need to multiply volts x amps. We already know the amps part of the equation equals 80 so what is the volts part? It is 2.4 because 2.4 divided by 1 is 2.4. So, we now multiply 80 x 2.4 and we come up with 192 which is our watthour meter multipler.
Meter Muliplier Example 2
Another example with PTs and CTs. Say you have a 480v three phase three wire service with 200/5 CTs and 4/1 PTs. What is the watthour meter multiplier? 200 divided by 5 equals 40. 4 divided by 1 equals 4. So, 40 x 4 = 160. Thus, the watthour meter multiplier would be 160.
When you divide out the CT ratio and PT ratio and multiply them together this is also known as the transformer factor.
Conclusion
So, there you have it.
To calculate watthour meter multipliers first you need to determine whether there are CTs and PTs or only CTs in the circuit. Next, divide out the ratios. And lastly, multiply the ratios to determine the watthour meter multiplier.