Download Handbook of electric motors by Hamid A Toliyat; G B Kliman PDF

By Hamid A Toliyat; G B Kliman

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The division shown in Fig. 24(b) is only one of the possible divisions. The pole pitch modeled may be a piece of any shape, as long as at all radii the radial boundaries are one pole pitch apart. Thus the rotor may be rotated by up to one pole pitch from the stator in a one-pole-pitch model representing the entire machine. Integration over the triangle can be shown to yield the 3×3 matrix equation: [R][A]+j[M][A]=[C] In two-dimensional planar problems a flux line is a line of constant magnetic vector potential A.

158) and it is considered positive if it tends to increase qk. It must be remembered here that the partial derivative is taken with the field variables such as the current (or the flux) treated as constant. 162) 22 Principles of Energy Conversion In a conventional rotating machine, there is usually only one degree of mechanical freedom—rotation. 163) Sometimes, it is easier to solve for the voltage equations, obtain currents, and compute torque if certain transformations are used to define a new set of variables.

3) Actual quantity refers to its value in volts, ohms, or whatever unit is applicable. Within limits, the base values may be chosen as any convenient number. However, for machine analysis they are usually chosen based on the nameplate rating of the machine. In power systems analysis, there are many factors © 2004 by Taylor & Francis Group, LLC that enter into the choice. In the analysis of a system, a common volt-ampere base must be used and a consistent voltage base utilized, taking the transformer turns ratios into account.

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