Download e-book for kindle: Analysis of Electric Machinery and Drive Systems, Third by Krause

By Krause

ISBN-10: 111802429X

ISBN-13: 9781118024294

ISBN-10: 1118524330

ISBN-13: 9781118524336

Research of electrical equipment and force platforms by way of Krause, Paul C., Wasynczuk, Oleg, Sudhoff, Scott D., Pekarek [Wiley-IEEE Press, 2013] (Hardcover) third version [ Hardcover ]

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Additional resources for Analysis of Electric Machinery and Drive Systems, Third Edition

Example text

3-40) for a multiexcited system, we will allow the currents to establish their final states one at a time while all other currents are mathematically fixed either in their final or unexcited state. This procedure may be illustrated by considering a doubly excited electric system. 3-3. In this evaluation, it is convenient to use currents and displacement as the independent variables. 3-42) twice. First, we will mathematically bring the current i1 to the desired value while holding i2 at zero. Electromechanical Energy Conversion  21 Thus, i1 is the variable of integration and di2 = 0.

Determine the rotor speeds at which the device produces a nonzero average torque during steady-state operation if (a) ω1 = ω2 = 0; (b) ω1 = ω2 ≠ 0; (c) ω2 = 0. 30. 4-4. The winding inductances may be expressed as Lasas = Lls + L A − LB cos 2θ r Lbsbs = Lls + L A + LB cos 2θ r Problems  51 bs1-axis bs¢ 1 fd2-axis as2 fd3 wrm as¢ 1 fd2 fd¢ 2 as2-axis qrm fd¢ 3 fd¢ 1 bs2 as1-axis bs1 fd¢4 fd1 fd4 as¢ 2 as1 fd1-axis bs¢ 2 bs2-axis d4 4 fd¢ f ... – d1 fd¢ 1 f as¢ 2 – as2 vas as¢ 1 ias as1 + rs Ns 2 bs¢ 2 ifd vfd bs2 + rs bs¢ 1 bs1 rs ibs – vbs + Figure 1P-9.

3-2. Electrostatic Force at Mechanical Input J fe (e f , x ) = ∑ e j =1 fj ∂q j ( e f , x )  ∂W f (e f , x )  − ∂x ∂x ∂Wc (e f , x ) fe (e f , x ) = ∂x ∂W f (q, x ) fe (q, x ) = − ∂x J  ∂e fj (q, x )  ∂Wc (q, x ) fe (q, x ) = − q j  + ∂x ∂x j =11  ∑ Note: For rotational systems, replace fe with Te and x with θ. 3-73) are readily verified by recalling the definitions of Wf and Wc that were obtained by holding x fixed (dx = 0). 3-1, the independent variables to be used are designated in each equation by the abbreviated functional notation.

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