Symmetrical component example: can't understand solution

In summary, the conversation discusses the calculation of the zero sequence circuit for example 6.1 from Stevenson's Power System Analysis book. The solution involves changing bases and reflecting impedances for T1 and T2, respectively, using their respective MVA ratings and voltage levels. The MVA rating of T2 is used to convert the 0.1 pu reactance to the voltage level of the motor circuit.
  • #1
ffp
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Thread moved from the technical forums to the schoolwork forums
Ok, now I'm studying symmetrical components. Im using Stevenson's Power System Analysis book and example 11.9 asks for the zero sequence circuit of the example 6.1 in the same book.

Here's the example and the solution:
SmartSelect_20230123_225052_Moon+ Reader Pro.jpg

Here's example 6.1, so we can see what is the circuit:
SmartSelect_20230123_225223_Moon+ Reader Pro.jpg


Here's the beggining of the solution, where I'm stuck...

SmartSelect_20230123_225443_Moon+ Reader Pro.jpg


I believe de X of T1 (0.0857 pu) is found by changing bases (Xpu=OLDpu x OLDbase/NEWbase). So 0.1 is the pu of T1, 300 is the Sbase (MVA) of the generator (and hence, system) and 350 is the Sbase (MVA) of T1. Is that right?

If so, why is X of T2 calculated differently, I believe by reflecting impedances? If that's really what he's doing, why is he using 13.2 and 13.8?

I'm really lost here with this example.
 

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  • #2
ffp said:
I believe de X of T1 (0.0857 pu) is found by changing bases (Xpu=OLDpu x OLDbase/NEWbase). So 0.1 is the pu of T1, 300 is the Sbase (MVA) of the generator (and hence, system) and 350 is the Sbase (MVA) of T1. Is that right?
Yes. Both T1 and the generator have the same voltage rating(and are at the same voltage level in the line diagram). This is why only the ratio of MVA ratings is used to find the new pu reactance.
ffp said:
If so, why is X of T2 calculated differently
The MVA rating of T2 is same as the base MVA (300MVA). The 0.1 pu reactance of T2 is w.r.t its own ratings (300MVA, 13.2kV). To convert it properly according to the motor citcuit voltage level, it is divided by the motor circuit voltage level (and then squared).
 

1. What is a symmetrical component example?

A symmetrical component example is a mathematical technique used in power systems analysis to simplify the analysis of unbalanced three-phase systems. It involves breaking down an unbalanced system into three balanced systems, each with a different phase sequence.

2. Why is symmetrical component analysis important?

Symmetrical component analysis allows engineers to better understand and analyze unbalanced three-phase systems, which are common in power systems. It also helps in designing protection systems for power systems.

3. How do you perform symmetrical component analysis?

To perform symmetrical component analysis, you first need to obtain the positive, negative, and zero sequence components of the unbalanced system. This can be done using mathematical equations or through software tools. Once the components are obtained, they can be analyzed separately as balanced systems.

4. What is the solution to a symmetrical component example?

The solution to a symmetrical component example involves obtaining the positive, negative, and zero sequence components of the unbalanced system and analyzing them separately as balanced systems. This allows for a better understanding of the unbalanced system and can aid in designing protection systems.

5. What are some common challenges in understanding the solution to a symmetrical component example?

Some common challenges in understanding the solution to a symmetrical component example may include difficulty in obtaining the sequence components, confusion in interpreting the results, and lack of knowledge in power systems analysis. It is important to have a strong understanding of power systems and mathematical techniques to overcome these challenges.

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