| 6. Parameters of the
initial mode-2 |
8.2 |
|
|
|
| = |
arctg |
|
= |
arctg(−1.11)
= −47.5°(lag
angle) |
|
| Where Uao, Iro and Ixo
are the scalar magnitudes (or projections) of the
corresponding voltage and current vectors. In the original vector diagram, the terms Xq·Iro and Xq·Ixo represent the orthogonal voltage drop
vectors across the quadrature-axis reactance. |
| 6.1.6.
Angle by which Ja lags behind q axis |
| (δ−β)0 |
+ |
ψ0 |
= |
−47.5° −
25° = −72.5° |
|
| 6.1.7.
Components of current Ja along d and q
axes |
| Jaq0 |
= |
Ja0·cos(δ−β+ψ)0 |
= |
1.11·cos(−72.5°) = 1.11·0.3 = 0.33 |
|
| Jad0 |
= |
Ja0·sin(δ−β+ψ)0 |
= |
1.11·sin(−72.5°) = 1.11·0.95 = −1.05 |
|
| 6.1.8.
Components of voltage Ua along d and q
axes |
| Uaq0 |
= |
Ua0·cos(δ−β)0 |
= |
1·cos(−47.5°) = 1·0.67 = 0.67 |
|
| Uad0 |
= |
Ua0·sin(δ−β)0 |
= |
1·sin(−47.5°) = −0.73 |
|
| 6.1.9.
Stator EMF corresponding to steady-state excitation EMF of
TG. |
| Efdo′ |
= |
E0 |
= |
Uaq0 |
− |
Xd·Jad0 |
= |
| 0.67 |
− |
[−(2.33·1.04)] = 3.2 |
|
|
6.1.10. TG EMF along q axis |
| Eqa0 |
= |
E0 |
− |
(Xd−Xq)·Jad0. |
Since Xd
= Xq |
|
|
|
|
6.1.11. Infinite bus voltage (see Fig. 1 and 2 on page p8.4) |