Blondel’s Theorem








Blondel’s Theorem is used to help meter technicians decide what type of metering installation is needed to meter a particular service. So, what does Blondel’s Theorem say and what does it do for us.

What Does Blondel’s Theorem Say?

Blondel’s Theorem really is more simple than many people think. Blondel figured out what was needed to accurately meter different types of services. Blondel’s Theorem basically says that you need one less element in your watthour meter than the number of wires in the service to accurately meter the service.

What does that mean?

That is all well and good, but what does it mean? Inside the watthour meters are stators, or elements. In this case we interchange the two. A stator inside the watthour meter is made up of one current coil and one voltage coil. So for example, to meter a single phase two-wire service accurately according to Blondel’s Theorem we would need a watthour meter with one stator because we have two wires. This meter is referred to as a 1s meter.

Putting Blondel’s Theorem into Practice

Let’s say that we now want to meter a three-phase, three-wire service typically referred to as a three-wire delta service. What would we need to use? According to Blondel’s Theorem we would need go down our list of meter forms and find out that we need to use a form 5s meter which has two elements in it.



Understanding Blondel’s Theorem using CTs

I think that now you have the idea. But I think it is actually easier to explain with CT’s. Let’s restate Blondel’s Theorem and instead of saying elements let’s say CT’s. So, to accurately meter a particular service we need to make sure that we have one less CT than the number of wires in the service. For example, let’s say that we have a three-phase, 4-wire wye service. How many CT’s will we need? If you came up with three then you are correct.

Non-Blondel Compliant Meters

Now, I do want to post a disclaimer here and the reason is that there are non Blondel compliant meters and metering installations out there. The thing that we have to remember when we see these things is that Blondel’s Theorem is just that, a theorem and it is possible to meter services accurately without complying to Blondel’s Theorem. However, it is my opinion that it is much easier to attempt to use Blondel’s Theorem in your system and have uniformity across all of your installations than to say that you figured out a way that it would work without it. When Blondel calculated his theorem I bet he did not have metering for Electric Vehicles (EVs) in mind!

If you want to learn about another more advanced topic, visit Hall Effect.

Phasors and Blondel’s Theorem

Blondel’s Theorem and the concept of phasors are closely intertwined in the realm of electrical metering, as both are essential for understanding and designing accurate metering systems. Blondel’s Theorem provides the foundational rule for determining the number of elements or CTs required to meter a service accurately. Phasors, on the other hand, enable the precise representation and analysis of the voltage and current waveforms within these services. Together, they ensure that metering devices accurately measure not just the magnitude of electrical quantities but also their phase relationships, which is crucial for effective energy management.

For instance, phasor diagrams are a valuable tool for visualizing the angular relationships between voltage and current in a system. These relationships directly influence how metering devices, designed according to Blondel’s Theorem, operate. Understanding phasors allows technicians to troubleshoot metering installations more effectively by identifying issues such as incorrect wiring or phase imbalances. By mastering both concepts, technicians and engineers can ensure that metering systems provide the accuracy and reliability needed for modern energy management and billing.

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Conclusion

Blondel’s Theorem is a cornerstone of accurate and efficient metering in the electrical industry. By understanding its principles, technicians can determine the correct metering installation for any service, ensuring precision and uniformity. When combined with the knowledge of phasors and their role in AC systems, Blondel’s Theorem becomes even more powerful, enabling technicians to address complex challenges in energy measurement and management. Whether you’re troubleshooting a system or designing a new installation, mastering these concepts is essential for success in modern metering applications.





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