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# A utility power system uses ANSI standard transformers in an area with 161kV, 69kV, 34.5kV, and 12.5kV

INSTRUCTIONS TO CANDIDATES
###### ANSWER ALL QUESTIONS

1. Blackburn problem 3.2

2. A utility power system uses ANSI standard transformers in an area with 161kV, 69kV, 34.5kV, and 12.5kV nominal voltage levels. Phase sequence is ABC at 161kV; 1-2-3 at 69,34.5, and 12.5kV. Transformer configurations are Δ-Y for 161/69 and 69/34.5; and Y-Y for 69/12.5kV. At no-load VAn =93/0⁰ kV at 161 and V1n =20/0⁰ kV at 34.5 are in phase; and V1n at 69 and 12.5 are in phase; but V1n at 69 lags VAn at 161 by 30⁰.

a. If the 161kV ABC phases are connected to H1, H2, H3, respectively, what phases are connected to all other transformer bushings to yield the phase sequences and relative phase angles described. Show your solution by drawing all three 3Φ transformers with their bushing designations shown, at the correct relative phase angles with your identified system phase adjacent to the bushing designation.

b. A new 34.5/12.5kV substation is being built, what ANSI standard transformer winding configuration should be used? Draw your connection solution to align with 2a solution.

3. Given a radial source voltage of exactly 138kV with Zeq=0.51+j15.56 ohms @138kV to transformer high side (HS). For tap position E-16R of the transformer with tested values in Table below, calculate the following:

a. Transformer impedance in ohms at the low side (LS) voltage for that test;

b. Transformer impedance in ohms at the high side voltage for that test;

c. Transformer impedance in per unit on 100MVA, 138kV base;

d. For LS fault, the fault current in low side and high side rms symmetrical amps.

Read Blackburn Chapters 4. (As a minimum page turn to assure you are familiar with this material.)

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