R_{1} = \frac{U_{V}}{2I_{d}}

R_{1} = \frac{3}{2} \frac{U_{V}}{I_{d}}

I_{1} ≃ I_{01}

Z_{m} = \sqrt{R_{m}^{2} + X_{m}^{2}} = \frac{U_{1}}{\sqrt{3}I_{1}}

P_{F e} = P_{10} − 3R_{1}I_{1}^{2} − P_{mec}

R_{m} = \frac{P_{F e}}{3I_{1}^{2}}

X_{m} = \sqrt{Z_{m}^{2} − R_{m}^{2}}

L_{m} = \frac{X_{m}}{2πf}

I_{1} ≡ I_{01}

U_{1} = f (I_{1})

Ψ_{1} = (\frac{U_{1}}{\sqrt{3}} − R_{1}I_{1}) \frac{1}{ω_{0}}

L_{m} = \frac{Ψ_{1}}{I_{1}} = f (I_{01} ≡ I_{1})

P_{10} = 3R_{1}I_{1}^{2} + P_{F e} + P_{mec}

P_{F e} + P_{mec} = P_{10} − 3R_{1}I_{1}^{2}

P_{F e} + P_{mec} = f (U_{1})

I_{1} ≃ I2^{′}

I_{c} ≃ I_{N}

P_{F e} ≃ 0

R_{1} + R2^{′} = \frac{P_{c}}{3I_{c}^{2}}

R2^{′} = \frac{P_{c}}{3I_{c}^{2}} − R_{1}

\sqrt{(R_{1} + R2^{′})^{2} + (X_{1σ} + X2σ^{′})^{2}} = \frac{U_{c}}{\sqrt{3}I_{c}}

L_{1σ} = L2σ^{′} = \frac{1}{4πf} \sqrt{\frac{U_{c}^{2}}{3I_{c}^{2}} − (R_{1} + R2^{′})^{2}}

L_{1} = L_{1σ} + L_{m}

L2^{′} = L2σ^{′} + L_{m}

0 = T_{s0} + J \frac{dΩ}{dt}

J \frac{dΩ}{dt} + k_{v}Ω + T_{f} = 0

J = −T_{s0} \frac{dt}{dΩ}

T_{s0} = \frac{P_{mec}}{Ω_{0}}

\frac{dt}{dΩ} = −\frac{t_{1}}{Ω_{0}}

J = P_{mec} \frac{t_{1}}{Ω_{0}^{2}} = P_{mec} \frac{τ}{Ω_{0} (Ω_{0} + \frac{T_{f}}{k_{v}} )}

\frac{t_{1}}{τ} = \frac{Ω_{0}}{Ω_{0} + \frac{T_{f}}{k_{v}}}

T_{s0} = k_{v}Ω_{0} + T_{f}

J = −T_{s0} \frac{Δt}{ΔΩ} = (k_{v}Ω_{0} + T_{f}) \frac{t_{1}}{Ω_{0}}

J = (k_{v} + \frac{T_{f}}{Ω_{0}} ) t_{1}

Ω = (Ω_{0} + \frac{T_{f}}{k_{v}} ) e^{− \frac{t}{τ}} − \frac{T_{f}}{k_{v}}

τ = \frac{J}{k_{v}}

(Ω_{0} + \frac{T_{f}}{k_{v}} ) e^{− \frac{ts}{τ}} = \frac{T_{f}}{k_{v}}

(k_{v}Ω_{0} + T_{f}) e^{− \frac{ts}{τ}} = T_{f}

T_{f} = (\frac{J}{t_{1}} − k_{v}) Ω_{0}

(k_{v}Ω_{0} + T_{f}) e^{− \frac{ts}{τ}} = (\frac{J}{t_{1}} − k_{v}) Ω_{0}

\frac{J}{t_{1}} Ω_{0}e^{− \frac{ts}{τ}} = (\frac{J}{t_{1}} − k_{v}) Ω_{0}

k_{v} = \frac{J}{t_{1}} (1 − e^{− \frac{ts}{τ}} )

k_{v} = \frac{J}{t_{1}} (1 − e^{− \frac{ts}{J/kv}} )

k_{v} = [W (−e^{− \frac{ts}{t_{1}}} · \frac{t_{s}}{t_{1}} ) + \frac{t_{s}}{t_{1}} ] · \frac{J}{t_{s}}

x · e^{x}

a = −e^{− \frac{ts}{t_{1}}} · \frac{t_{s}}{t_{1}}

x · e^{x} = a