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Analysis of interconnection of permanent magnet generators to the ...

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Additional work <strong>to</strong> determine operational regime<br />

j*Xd*I<br />

90°<br />

e0 = u ⋅ cosδ<br />

+ xd<br />

⋅ i ⋅ sinψ<br />

= 1,2<br />

e=1,2<br />

u=1<br />

i=1,00713<br />

s = u ⋅ i<br />

= 1,007136<br />

21°<br />

15°<br />

p = s ⋅ cos ϕ = 0,972819<br />

q = s ⋅ sin ϕ = 0,2606607<br />

φ=15˚. u=1. e=1.2. cosφ=0.9659258. sinφ=0.258819.<br />

2<br />

x d ⋅ i = e − ( u ⋅ cosϕ)<br />

− u ⋅ sinϕ<br />

= 0,4532<br />

2<br />

2<br />

e − ( u ⋅ cosϕ)<br />

− u ⋅ sinϕ<br />

i =<br />

= 1, 007136<br />

x<br />

tgψ<br />

=<br />

q<br />

x d<br />

2<br />

⋅ i + u ⋅ sinϕ<br />

= 0,7371148<br />

u ⋅ cosϕ<br />

ψ = arctg( tgψ ) = 36, 39°<br />

P = p ⋅ S<br />

Q = q ⋅ S<br />

2<br />

U<br />

R = P<br />

X<br />

= Q<br />

U<br />

2<br />

= 972819<br />

= 260666<br />

= 17,78912<br />

= 66,3899<br />

W<br />

VAr<br />

Ω<br />

Ω<br />

X<br />

L = = 211,3257 mH<br />

ω<br />

δ = ψ − ϕ = 21, 39°<br />

09. 09. 2009. DEMSEE 2009 6

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