State functions and bond graph dynamic models for rotary, multi-winding electrical machines
✍ Scribed by Dean Karnopp
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 497 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
The muthematical modeling and computer simulation of the dynamics qf systems containing alternutors, synchronous or induction motors or other polyphase machines is aided by the description of multi-winding rotary devices based on energy and cornergy state .functions. The basic theory is reciew,ed includinSq the,formulu.fk electromagnetic torque based on energy and coenergy state functions. The electrically linear-but geometrically nonlinearcase is then studied. As an example, an ideal, smooth rotor, two-axis, four-winding machine is discussed. Bond graph IC-stora~qe jield models are developed and the use of' the d-q transformation as embodied in a modulated transformer structure is illustrated. This tramformation removes the rotor angular dependence jLom the inductance matrix. However, the ungle dependence remuins in the tranqformation from the real coil variables to the d-q curiahles and in the multi-port transjtirmer laws. The bond graph models qf the basic transduction can be augmented to account for electrical and mechanical losses and athe? dynamic eJ2cts in the creation of a system model. Other multi-port transformers can be used to convert polyphase systems to the two-axis machine models described in the paper.