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I want to change the per unit base from transformers to a grid. My understanding can be illustrated by the following example (from example 3.4 in [glover2017power]). To be specific, \$V_\text{base1}\$ + \$S_\text{base}\$, \$V_\text{base2}\$ + \$S_\text{base}\$, \$V_\text{base3}\$ + \$S_\text{base}\$ are used as per unit base for zone 1, 2, 3 respectively. Notice that \$V_\text{base2}\$ and \$V_\text{base3}\$ devitae from rated voltages, but the ratio remains 4. Then \$T_2\$ can be represented by an impedance as well.

However, in pandapower and PyPSA, the rated transformer voltages seem to be used in grid base regardless of the specified nodal/zonal base voltages. (I might not understand their approaches correctly.) If that is the case, there is an issue regarding the base voltage in zone 2. That is, whether rated 480 V of \$T_1\$ or rated 460 V of \$T_2\$ should be chosen.

I'm wondering if my understanding about the per-unit base change is correct.

  • Glover, J. D., Sarma, M. S., & Overbye, T. (2017). Power system analysis & design. Cengage Learning.
Edward
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You could answer it either way but the method solved in the textbook is correct. By choosing \$V_{base1}\$ as the initial base voltage, the other zones are calculated from there. You could, alternatively, select \$V_{base3}\$ as the initial base voltage and you'd end up with 230 V, 460 V, and 115 V as the base voltages. For added clarity, we could ignore the ratings of the transformers entirely when selecting the base voltages and just say that \$ V_{base1} = 1000 V \$. Choosing the transformer voltage as a base voltage is just to simplify the problem.

When the zone voltage doesn't match the transformer voltage, you'll have to convert the impedance of the transformer. The book does this if you follow along in the solution. You could apply the 1000 V rating to this question as well, and solve per unit impedances for both transformers.

I'm not familiar with pandapower or PyPSA but my assumption would be that the voltages on the transformer do not change, and instead the software is converting the transformer impedance to match the base voltages. In reality, if a transformer is built to 240/480, you cannot change that rating. If the software is trying to force two different base voltages into the same zone, it's not very good software.

  • I'm still working on this part. I believe that as long as the ratio of two zonal voltages is the same as the rated ratio of the transformer, this approach can be used. However, in most softwares, it is possible to use a different ratio (any pair of zonal voltages). Then the _2x2 admittance matrix of the transformer when grid as pu base_ must be calculated from _that when transformer as pu base_. That is, there is no _impedances in grid-pu for transformer_ anymore. – Edward Oct 07 '21 at 09:21