If this video was helpful for you, please consider subscribing to GeneralPAC.com and becoming our patreon at patreon.com/generapac. Your donation will allow us to continue making high quality video tutorials free for everyone, everywhere…. Our goal is simple; we make Power Systems intuitive.

Our corporate sponsor for this topic is AllumiaX.com, from Seattle Washington. Contact them for industrial and commercial power system studies like short circuit, coordination, and arc flash studies.

In part 1a of the series, we shall explain the important parameters of a Current Transformer, when it comes to its equivalent circuit model, and we go through this in much greater detail.

The equivalent circuit model and its important parameters were briefly discussed in the previous video series called the “Brief Introduction to Current Transformers & its applications”. Please follow the link in the description section below. If you haven’t watched this already, we will recommend that you watch it and view it before going through this particular tutorial. It’s such a really good foundation and it helps to describe some of the concepts that are shown in this tutorial.

Let us now review the equivalent model, the simplified equivalent circuit model of a current transformer in detail and discuss each parameter to a great extent. Now, we shall start with the excitation impedance & the excitation current which is critical for analyzing the overall behavior of a current transformer.

So this equivalent circuit model of this CT is drawn as you can see on the screen.

There is an Excitation impedance which we will represent by ZE, it tells us about the magnetization behavior of the CT core and this ZE branch or the ZE value or the excitation branch.

It is non-linear in nature, which means that this impedance changes as the CT saturates and it results in a varying secondary excitation voltage, VE. The varying excitation as well as the varying excitation branch current, IE.

So ZE is equal to;

And ZE is a no-linear value. We will go over this in much more detail in this tutorial.

Now, we also have a primary current “Ip” that flows through the primary winding of a current transformer. This “Ip” value produces a total secondary current on the secondary side of the winding and in the mathematical term, we can represent these parameter using the following equation:

Where,

IE = Excitation Current

Is = Secondary Current, flowing through the winding and flowing to the secondary CT Burden

Now, the total secondary current as shown by IST, is equal to the secondary current only, when IE is equals to zero.

Now, what is that mean??

What we are trying to say here is that if we model the ideal current transformer, where there is no error or there is no saturation, where the primary current is equal to the secondary current.

In this case, we are saying that IE is zero and IST is equal to Is . IE is zero or is a negligible value. So Practically speaking, IE – the current flowing through the magnetization branch cannot be equal to zero because it is responsible for producing the magnetizing current in a current transformer, and that is required for it to operate (in a practical sense) but it can be minimized by increasing the value of the excitation impedance “ZE “.

So CT designers can reduce the magnetization current IE by increasing the excitation impedance ZE and therefore reduce the overall error or the overall chances of the CT becomes saturated.

Now the value of ZE that is inversely proportional to the excitation current. So if ZE is high, then the excitation current will be low. And if ZE is low, then the excitation current will be high. The excitation current is also directly proportional to the CT error, therefore, the greater the excitation current, the greater the CT Error, then how we will represent this mathematically.

Now that is very simple

So this is an inverse proportional relationship, if one goes up, the other goes down and vice versa and IE – the excitation current is directly proportional to the CT error, so if one goes up, the other goes up and one goes down, the other goes down. Perfect.

Keep in mind that the Protection Class and Metering Class Current Transformers should be designed so that ZE is of high value. This is required to minimize the total amount of CT error.

And, if the value of ZE is high, the excitation current flowing through the magnetization branch will be negligible – meaning it will be very small. This way, the excitation current will be low, and so will the ratio error or the CT error produced by the current transformer.

Now this example in this entire series are derived from the S. E. L’s article, called Beyond the Knee-point, it’s a practical guide to CT Saturation. So, rest assured, these are good and accurate examples. If mistakes are found, they will be described in great detail at generalpac.com

In part 1b, we will go over to the CT excitation current and the excitation curve in more detail.

We hope this topic and series is enjoyable and enlightening for students and professionals. If you find this content useful, please consider subscribing to GeneralPac.com and becoming our patron… supporting us through patreon.com/GeneralPAC. We make power systems intuitive. Thank you.

#### Greetings from the GeneralPAC Team!

We make high-quality Power Systems Video Tutorials on complex topics that are free and open to everyone!  Thank you so much for supporting us through Patreon so can continue doing good and valuable work.

What is Patreon and why do we use it?

Patreon is a fantastic portal that allows our fans and community to make monthly contribution (like Netflix subscription) so we can continue creating high-quality power systems video tutorials. In return, you get access to incredible perks like voting on future topics, getting your questions answered, access to VIP Q/A webinars with the creators of GeneralPAC, and much more! We THANK YOU for supporting us

Why do we need your support?

An incredible amount of time and effort is needed to develop high-quality video tutorials. Each video (Part 1 for example) takes approximately 10 hours to complete which includes learning the concept ourselves, brainstorming creative ways to teach and explain the concepts, writing the script, audio recording, video recording, and editing. It's no wonder why Hundreds-of-Thousands of people have watched, liked, subscribed, and left positive comments on Youtube channel. Your support truly makes all the difference.