By Ned Mohan
Complex electrical Drives makes use of a physics-based method of clarify the basic suggestions of contemporary electrical force keep watch over and its operation less than dynamic conditions.
• Gives readers a “physical” photo of electrical machines and drives with no resorting to mathematical changes for simple visualization
• Confirms the physics-based research of electrical drives mathematically
• Provides readers with an research of electrical machines in a fashion that may be simply interfaced to universal strength digital converters and regulated utilizing any keep watch over scheme
• Makes the MATLAB/Simulink records utilized in examples to be had to someone in an accompanying website
• Reinforces basics with quite a few dialogue questions, idea quizzes, and homework difficulties
Read Online or Download Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink PDF
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Extra resources for Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / Simulink
Using this logic, we can write the following flux expressions for all four windings: Stator Windings λsd = Ls isd + Lmird (3-19) λsq = Ls isq + Lm irq, (3-20) and where in Eq. (3-19) and Eq. (3-20), Ls = Lℓs + Lm. Rotor Windings λrd = Lr ird + Lmisd (3-21) λrq = Lr irq + Lm isq, (3-22) and where in Eq. (3-21) and Eq. (3-22), Lr = Lℓr + Lm. MATHEMATICAL RELATIONSHIPS OF THE dq WINDINGS 37 β-axis ωd isβ λs q-axis d-axis isq isd θda a-axis isα α-axis Fig. 3-5 Stator αβ and dq equivalent windings. 3-3-3 dq Winding Voltage Equations Stator Windings To derive the dq winding voltages, we will first consider a set of orthogonal αβ windings affixed to the stator, as shown in Fig.
Similar space vector equations can be written in the rotor circuit with the rotor axis-A as the reference. 2-6-1 Relationship between Phasors and Space Vectors in Sinusoidal Steady State Under a balanced sinusoidal steady-state condition, the voltage and current phasors in phase-a have the same orientation as the stator voltage and current space vectors at time t = 0, as shown for the current in Fig. 2-8; the amplitudes are related by a factor of 3/2: isa t=0 3 = Ia 2 ˆ 3 I s = Iˆa . 2 Re axis (a) (2-24) a-axis (b) Fig.
3-28 and Eq. 3-29 for the stator and Eq. 3-31 and Eq. 3-32 for the rotor), vsd = Rs isd − ωdλsq + L s d d isd + Lm (isd + ird ) dt dt (3-49) vsq = Rs isq + ωdλsd + L s d d isq + Lm (isq + irq ) dt dt (3-50) and vrd = Rr ird − ωdAλrq + L r =0 vrq = Rr irq + ωdAλrd + L r =0 d d ird + Lm (isd + ird ) dt dt (3-51) d d irq + Lm (isq + irq ). dt dt (3-52) For each axis, the stator and the rotor winding equations are combined to result in the dq equivalent circuits shown in Fig. 3-10a,b. Using Eq. (3-28), we can label the terminals across which the voltage is dλsd/dt ω λ ω λ λ ω λ λ ω λ λ λ Fig.