6. Parameters of the initial mode-2 8.2

(δ−β)0  =  arctg Xq·Iro Ua0−Xq·Ixo  =

=  arctg −2.33·1 1−(−2.33·0.47)  =  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 "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

Eqa0  =  E0  =  3.2

6.1.11. Infinite bus voltage (see Fig. 1 and 2 on page p8.4