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Electromechanical Dynamics (Part 1).0038

Electromechanical Dynamics (Part 1).0038 - terminal...

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Circuit Theory where v k is the voltage drop across the kth element in the loop taken in the direction of summation.* In conventional circuit theory there are three basic types of passive elements: (a) resistances that dissipate electric energy as heat; (b) inductances that store magnetic energy; and (c) capacitances that store electric energy. It is a fact of life that electromechanical coupling of practical significance occurs in elements with appreciable electric or magnetic energy storage. Consequently, we shall consider electromechanical effects in circuit elements that are generalizations of the inductances and capacitances of circuit theory. To be sure, our systems have resistances, but they are treated as purely electrical circuit elements and considered as external to the coupling network. We proceed now to generalize the concepts of inductance and capacitance to include electromechanical effects. As stated before, we wish to obtain
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Unformatted text preview: terminal equations suitable for inclusion in a Kirchhoff-law description of a circuit. 2.1.1 Generalized Inductance From a field point of view an inductor is a quasi-static magnetic field system, as defined in Section 1.1.1a. Thus westart with the field description of a quasi-static magnetic field system and derive the terminal characteristics when parts of the system are in motion. First it is essential to recognize that in an ideal, lossless magnetic field system there is a perfectly conducting path between the two terminals of each terminal pair, as illustrated schematically in Fig. 2.1.1. We assume that the magnetic flux Fig. 2.1.1 Configuration for defining terminal voltage. * For a discussion of the definition and use of the concept of voltage see Section B.1.4. A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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