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Wind Power in Power Systems

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Notation xli<br />

R<br />

r Length along blade (local radius), measured from the hub ðr ¼ 0Þ<br />

r r<br />

Rotor w<strong>in</strong>d<strong>in</strong>g resistance<br />

r s<br />

Stator w<strong>in</strong>d<strong>in</strong>g resistance<br />

rxy Cross-correlation<br />

R Resistance; blade length; w<strong>in</strong>d turb<strong>in</strong>e radius; specific gas constant for<br />

air; radius of a cyl<strong>in</strong>der<br />

R2<br />

Resistance of smooth<strong>in</strong>g <strong>in</strong>ductor<br />

Rfd Field resistance<br />

Rgas Gas constant<br />

Rk<br />

Short-circuit ratio at the po<strong>in</strong>t of connection<br />

Rr<br />

Rotor resistance<br />

Rs Stator resistance<br />

S<br />

s Slip; complex frequency<br />

S Apparent power; complex power<br />

Sbase Base power, <strong>in</strong> per unit system<br />

Sn<br />

Rated apparent power of a w<strong>in</strong>d turb<strong>in</strong>e<br />

Spark Nom<strong>in</strong>al apparent power of w<strong>in</strong>d farm<br />

SrG Generator rated apparent power<br />

Sk Short circuit power<br />

Nom<strong>in</strong>al three-phase power of the <strong>in</strong>duction generator<br />

SN<br />

ST<br />

Transformer power capacity<br />

S, SðtÞ Space vector<br />

Sa(t) Instantaneous (momentaneous) value of a quantity for phase a<br />

Sb(t) Instantaneous (momentaneous) value of a quantity for phase b<br />

Sc(t) Instantaneous (momentaneous) value of a quantity for phase c<br />

Sd, Sd(t) Direct axis of a space vector SðtÞ<br />

Sq, Sq(t) Quadrature axis of a space vector SðtÞ<br />

Sr, SrðtÞ Space vector SðtÞ referred to the rotor reference frame<br />

Sr,a Instantaneous (momentaneous) value of a quantity for phase a <strong>in</strong> rotor<br />

reference frame<br />

Sr,b Instantaneous (momentaneous) value of a quantity for phase b <strong>in</strong> rotor<br />

reference frame<br />

Sr,c Instantaneous (momentaneous) value of a quantity for phase c <strong>in</strong> rotor<br />

reference frame<br />

Srd Real part of Sr<br />

Srq<br />

Imag<strong>in</strong>ary part of Sr<br />

Ss, SsðtÞ Space vector SðtÞ referred to the stator reference frame<br />

Ss,d Real part of Ss<br />

Imag<strong>in</strong>ary part of Ss<br />

Ss,q<br />

T<br />

t Time<br />

t C<br />

Temperature<br />

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