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Electromechanical Dynamics (Part 1).0036

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Chapter 2 LUMPED ELECTROMECHANICAL ELEMENTS 2.0 INTRODUCTION The purpose of this chapter is to present the techniques of making mathe- matical models (writing differential equations) for lumped-parameter electromechanical systems. In the context used here lumped-parameter systems are defined as follows: the electromagnetic fields are quasi-static and electrical terminal properties can be described as functions of a finite number of electrical variables. Also, the mechanical effects can be described by a finite number of mechanical variables. Thus the general feature of lumped-parameter electromechanical systems is that field equations can be integrated throughout space to obtain ordinary differential equations. Electrical parts of the systems are treated by circuit theory generalized to include the effects of electromechanical coupling; the mechanical parts of the systems
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Unformatted text preview: by the techniques of rigid body mechanics with electromechanical forces included. The approach followed here is best illustrated by considering the block diagram in Fig. 2.0.1 in which an electromechanical system is separated for analytical purposes into a purely electrical part, a purely mechanical part, and a coupling part. The equations that describe the electrical part of the system are based on Kirchhoff's laws; the equations for the mechanical part of the system are obtained from Newton's laws and the continuity of space. Both sets of equations contain electromechanical coupling terms that arise from the interconnection of the coupling system. Electrical rme ccal s t Mechanical network couplingsystem Fig. 2.0.1 An electromechanical system. A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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