By Kwang Hee Nam
Motor regulate expertise maintains to play a necessary function within the initiative to put off or no less than lessen petroleum dependency and greenhouse gasoline emissions all over the world. elevated motor potency is a vital point of this technological know-how within the international transition to scrub strength use in components akin to commercial functions and residential appliances―but really within the layout of vehicles.
Summarizes the evolution of motor riding devices towards excessive potency, budget friendly, excessive energy density, and versatile interface with different components
AC Motor regulate and electrical motor vehicle Applications addresses the subjects pointed out in its name but in addition elaborates on motor layout standpoint, equivalent to again EMF harmonics, loss, flux saturation, and reluctance torque, and so forth. holding theoretical integrity in AC motor modeling and regulate all through, the writer makes a speciality of the advantages and straightforwardness of the rotor field-oriented keep an eye on, describing the fundamentals of PWM, inverter, and sensors. He additionally clarifies the basics of electrical cars and their linked dynamics, motor matters, and battery limits. a robust compendium of useful details, this booklet serves as an total useful gizmo for the layout and keep watch over of high-efficiency motors.
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Additional resources for AC Motor Control and Electrical Vehicle Applications
Then, λedq = Tλabc = TLabc iabc = TLabc T−1 iedq = Ldq iedq . 2: Formulae for coordinate changes. Forward ( abc ⇒ dq ) Inverse ( dq ⇒ abc ) Complex variables for the stationary frame 2[ 3 s f fa j 4π fb = Re e 3 fs 2π fc ej 3 fs ] 2π 2π fa (t) + ej 3 fb (t) + e−j 3 fc (t) Complex variables for the rotating frame [ e−jθ 32 fa (t) + ej 2π 3 fb (t) + e−j 2π 3 ejθ fs fa 4π fb = Re ej(θ+ 3 ) fs 2π fc ej(θ+ 3 ) fs ] fc (t) Matrices for the stationary frame 1 2 0 3 √1 2 1 − √2 3 2 √1 2 −√12 − 23 √1 2 1 1 − 2 − 21 0 √ − 3 2√ 3 2 √1 2 √1 2 √1 2 Matrices for the rotating frame cos θ cos(θ − 2π cos(θ + 2π 3 ) 3 ) 2π 2π 2 − sin θ − sin(θ − ) − sin(θ + 3 3 3 ) √1 2 Hence, we obtain √1 2 √1 2 cos θ − sin θ 2π 2π cos(θ − 3 ) − sin(θ − 3 ) 2π cos(θ + 2π 3 ) − sin(θ + 3 ) Ldq = TLabc T−1 .
Then the MMF is given by MMF(q=2) = Note that 4 1 π n kp(n) NI 4 2 π ∑ n=1,3,5,··· 1 nπ kp(n) cos . 2) corresponds to the Fourier coeﬃcients. Thus it should follow that ∫ 2 π 41 k ≡ MMF(θ) cos(nθ)dθ π n p(n) π 0 ∫ Wπ 4 τp 2 = cos(nθ)dθ π 0 ( ) 41 Wπ = sin n . 3) πn τp 2 Therefore, it turns out that ( kp(n) Wπ = sin n τp 2 ) . 4: Fourier series expansion: (a) square wave MMF and its fundamental component and (b) approximation up to 7th order. , it helps reduce the harmonics. Speciﬁcally, ( Wπ sin n τp 2 ) ( π) ≤ sin n = 1.
The inverse map is calculated as √1 cos θ − sin θ 2 cos(θ − 2π ) − sin(θ − 2π ) √1 −1 T (θ) = . 33) 3 3 2 2π 2π 1 √ cos(θ + 3 ) − sin(θ + 3 ) 2 Hence, 1 1 −1 T (0) = − 2 − 12 0 √ 3 2 − √ 3 2 √1 2 √1 . 2 √1 2 Similarly to the case of forward transformation, T−1 can be decomposed as √1 1 0 2 cos θ − sin θ 0 √ 1 3 √1 sin θ cos θ 0 . , R(θ)−1 = R(θ)T . 7 Determine [vds , vqs ]T and [vde , vqe ]T corresponding to [va , vb , vc ]T [ ]T = cos θ, cos(θ − 23 π), cos(θ − 34 π) .
AC Motor Control and Electrical Vehicle Applications by Kwang Hee Nam