Download Digital Control of Electrical Drives (Power Electronics and by Slobodan N. Vukosavic PDF

By Slobodan N. Vukosavic

Offers extensive insights into difficulties of coding keep an eye on algorithms on a DSP platform. - incorporates a set of Simulink simulation documents (source codes) which allows readers to envisage the results of keep an eye on suggestions at the total movement keep watch over method. -bridges the space among keep watch over research and business perform.

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The resulting traces are shown in Fig. 6. The traces are obtained assuming that the friction B is negligible compared with KP . 5 at a constant value. The proportional gain KP is varied, affecting the damping factor ξ (Eq. 38) and changing the closed-loop zero z1 = −KI /KP . Fig. 6. Step response of the closed-loop system in Fig. 2. The natural frequency ωn and the gain KI are kept constant (Eq. 38), while the gain KP assumes four different values, affecting the damping factor ξ and changing the value of the transfer function zero z1 = –KI /KP .

The complex image of the given load disturbance TL(t) can be obtained by the Laplace transform. It is assumed that TL(t) = 0 for t < 0. The complex image TL(s) can be expressed in terms of the numerator NL(s) and denominator DL(s): 38 2 Basic Structure of the Speed Controller TL (s ) = L [T (t )] = ND ((ss)) . L L L With TL(t > 0) = TL(∞) = 1, one obtains TL(s) = 1/s, with NL(s) = 1 and DL(s) = s + 0. In case of a ramp signal, TL(t) = t, NL(s) = 1 and DL(s) = s2 + 0·s + 0. The speed controller WSC (s) has to remove the impact of TL(t) on the steady-state value of the output ω (∞).

27, it is possible to observe the impact of the feedback gains on ξ and ωn. 27 can be rewritten by multiplying both the numerator and denominator by KI /J. The denominator assumes the form shown in Eq. 38. Within the same expression, it is evident that the integral gain KI determines the natural frequency ωn of the closed-loop poles, while the proportional gain KP can be used for tuning the damping factor ξ. 38) The effects of the damping factor ξ on the step response are investigated in Figs. 5.

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