- 2077 Chaitra · 8 marks
Reactance diagram: three generators, 30 MVA 6.6 kV base
Short answer
On 30 MVA base, Vb=6.6 kV at G1, 115 kV in line, 11.5 kV at G3. Reactances: G1 j0.24, T1 j0.10, line (j120 Ω) j0.272, T2 j0.20, G2 j0.30, line (j90 Ω) j0.204, T3 j0.108, G3 j0.1976.
Draw the reactance diagram with all values in p.u. on a base of 30 MVA, 6.6 kV in the circuit of generator G1. Required data are as follows: G1: 25 MVA, 6.6 kV, j0.2 p.u.; G2: 15 MVA, 6.6 kV, j0.15 p.u.; G3: 30 MVA, 13.2 kV, j0.15 p.u.; T1: 30 MVA, 6.6 (delta) kV/115 (star) kV, j0.1 p.u.; T2: 15 MVA, 6.6 (delta) kV/115 (star) kV, j0.1 p.u.; T3: single phase units each rated 10 MVA, 69/6.9 kV, j0.1 p.u. [Figure: G1 (Y, grounded) → T1 (Δ–Y grounded) → line j120 Ω → junction bus; from the junction, T2 (Y grounded on HV side, Δ on LV side) up to G2 (Y, grounded); and a line j90 Ω → T3 (Y–Y, grounded) → G3 (Y, grounded).]
Base values
- MVA, and kV in the G1 circuit.
- Line section (through T1, 6.6/115 kV): kV, so .
- G2 circuit (through T2, 115/6.6 kV): kV.
- T3 is a Y–Y bank of single-phase 69/6.9 kV units. Its line ratio is kV / kV, and its rating is MVA.
- G3 circuit: kV.
Per-unit reactances
| Element | p.u. (30 MVA base) |
|---|---|
| G1 | j0.24 |
| T1 | j0.10 |
| Line (j120 Ω) | j0.2722 |
| T2 | j0.20 |
| G2 | j0.30 |
| Line (j90 Ω) | j0.2042 |
| T3 | j0.108 |
| G3 | j0.1976 |
Reactance diagram
j0.24 j0.10 j0.2722 j0.2042 j0.108 j0.1976
+-/\/\--/\/\----/\/\----+(J)+---/\/\----/\/\----/\/\--+
| | |
(E1) j0.20 (T2) (E3)
| | |
| j0.30 (G2) |
| | |
| (E2) |
+------------------- reference -----------------------+
Here J is the junction bus. Winding connections and earthing do not affect these positive-sequence reactances.
✓ Answer checked by Claude Opus 5.5 (high effort)
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