By Werner Leonhard
Electric drives play a massive half as electromechanical power converters in transportation, fabrics dealing with and so much construction approaches. This e-book provides a unified therapy of whole electric force platforms, together with the mechanical elements, electric machines, and gear converters and controls. because it used to be first released in 1985 the ebook has came upon its method onto many desks in and universities around the world. For the second one variation the textual content has been completely revised and up to date, with the purpose of providing the reader a common view of the sector of managed electric drives, that are protecting and lengthening their significance because the so much versatile resource of managed mechanical strength. Fachgebiet: electric Engineering Zielgruppe: learn and improvement
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2. Drive consisting of motor and load coupled by flexible shaft Power supply Power supply a b Fig. 3. 7) A graphical representation is seen in Fig. 3 a. Here too, the torques mM, mL are in reality defined by additional differential equations and state variables. If only the speeds are of interest, the block diagram in Fig. 3 b may be useful, which, containing three integrators, is described by a third order differential equation. With increasing stiffness of the shaft, the quantities El, E2 and WI, W2 become tighter coupled; in the limit the case of lumped inertia emerges, where El = E2, W2 = WI· Obviously the subdivision of the inertia may be continued indefinitely; every time a new partial inertia is separated, two more state variables have to be considered, transforming Fig.
Starting of motor at no-load Fig. 4. Starting transient The steady state operating point at the intersection of the two torque curves is Wl = Wo; due to the initial condition at standstill, we find Llw(O) = -Wo, which leads to the particular solution Llw(t) = -Wo e- t / Tm or with w = Wo + Llw w(t) = Wo (1- e- t / Tm ). 8) The starting transient is shown in Fig. 4. The discontinuity of the motor torque is caused by the omission of the electrical transients. In reality the torque is also associated with energy states and, hence, is continuous.
This is repeated until all the starting resistors are switched out and the motor operates on its natural torque- speed curve. In the steady state the torque is determined by the load. The required number of sections of the starting resistor and their appropriate values can be calculated in closed form . m2 Fig. 9. Starting circuit for a DC motor w(~~~~~~=- w(v+1) w(v) w(1) - - - - - - - - 4<:,-----'''''-1.... ..... w(~=O+---------~--~------~--- m2=mO(O) mdO) m Fig. 10. Torque-speed curves for different values of starting resistor By inspecting Fig.