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Direct Torque Control with Space Vector Modulation (DTC-SVM) of ...

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List <strong>of</strong> symbol<br />

List <strong>of</strong> symbols<br />

Symbol (general)<br />

X - instantaneous value<br />

X<br />

N<br />

- normalized value<br />

X - vector<br />

X ∗ - conjugate vector<br />

X - amplitude <strong>of</strong> vector<br />

Re( X ) – real part <strong>of</strong> X<br />

Im( X ) – imaginary part <strong>of</strong> X<br />

Symbol (special)<br />

α,<br />

β - stator fixed system<br />

dq , - rotor reference system<br />

x,<br />

y - general reference system<br />

Ls<br />

- stator inductance<br />

Zs<br />

- stator impedance<br />

M<br />

s<br />

- mutual inductance<br />

Is<br />

- phase current value<br />

U<br />

s<br />

- phase voltage value<br />

Ψ<br />

s<br />

- phase flux value<br />

P -active power<br />

Q - reactive power<br />

S - apparent power<br />

Pe<br />

- electro-magnetic power<br />

Ωm<br />

- mechanical rotor speed<br />

Ωs<br />

- synchronous speed<br />

cosφ - power factor<br />

δ<br />

I<br />

, δ Ψ<br />

- torque angle<br />

φ - power angle<br />

R<br />

s<br />

- stator resistance<br />

L<br />

d<br />

, L<br />

d<br />

- direct and quadrature inductances<br />

θr<br />

- electrical rotor position<br />

γ<br />

m<br />

- mechanical rotor position<br />

pb<br />

- number <strong>of</strong> pole pairs<br />

Ψ<br />

PM<br />

- rotor flux <strong>of</strong> permanent magnets<br />

M<br />

e<br />

- electromagnetic torque<br />

M<br />

es<br />

- synchronous torque<br />

M<br />

er<br />

- reluctance torque<br />

M<br />

l<br />

- load torque (external load torque)<br />

M<br />

d<br />

- dynamic torque<br />

Jm<br />

- motor moment <strong>of</strong> inertia<br />

Jl<br />

- load moment <strong>of</strong> inertia<br />

J - moment <strong>of</strong> inertia <strong>of</strong> total system (sum <strong>of</strong> J<br />

m<br />

and J<br />

l<br />

)<br />

171

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