TAILIEUCHUNG - Recent Developments of Electrical Drives - Part 14

Recent Developments of Electrical Drives - Part 14. The book stating the recent developments of electrical drives, can be useful for engineers and researchers investigating and designing electrical and electronic devices as well as for students and young researchers dealing with electrical and electronic engineering, computer sciences (advanced computer modelling, sophisticated control systems with artificial intelligence tools applied, optimal design bye use of classical and genetic algorithms employed), applied mathematics and all the topics where electromagnetic, thermal, mechanical phenomena occur | I-11. Electromagnetic Forces and Mechanical Oscillations 117 the method of images. The consideration of both the original circuits and the additional fictive current distributions as line circuits enables the application of Biot-Savart s law in the following form T T T B Hi i 1 4n r3 In a numerical computation of the flux density B generated by a three-dimensional assembly of line circuits these can be modeled by discrete line circuit segments. B is obtained using the principle of superposition after applying a discrete form of 1 to each segment. The three-dimensional distribution of electromagnetic forces can afterward be obtained by computing the vector of force acting on each discrete line circuit segment of the length l and carrying the current I using Lorentz law 3 F I T x B 2 By using line circuits instead of conductors with a finite cross section and a given current density it may be expected that the forces will be computed up to 25 to high 3 . But due to the fact that both the modeling effort and the computing time could be reduced substantially this simplification was found admissible. The described method was implemented in a numerical computation program and applied to calculate the three-dimensional distribution of electromagnetic forces acting on the stator end winding of different turbo generators. A typical three-dimensional model of the end region used in the computation is shown in Fig. 2. It consists predominantly of the line circuit segments modeling the bars of the stator end winding. The influence of the rotor end winding is not directly taken into account. Instead of that the magnetic flux generated by the rotor is emulated by line circuits in the area of the retaining ring. The assumption underlying this simplification is that the stator flux during transients is approximately mirrored by the rotor. Therefore the currents in these additional line circuits are equal to the currents in the stator windings but have opposite direction. Figure 2.

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