XIX Sympozjum Srodowiskowe PTZE - materialy.pdf
XIX Sympozjum Srodowiskowe PTZE - materialy.pdf XIX Sympozjum Srodowiskowe PTZE - materialy.pdf
H_zob 2. TFM geometry optimization XIX Sympozjum PTZE, Worliny 2009 Kot_zob Fig. 1. 3-D finite element model of transverse flux motor. 104 D_mag Kot_konc In the process of TFM geometry optimization the main changeable geometric parameters are: axial length of pole shoe (H_zob), pole-shoe width (Kot_zob) at the air gap side, thickness of flux concentrator (Kot_konc) and permanent magnet radial height (D_mag). All other geometric parameters of TFM are kept constant. The outer rotor radius and the overall length of TFM are fixed at 180 mm and 100 mm, respectively. The parameters such as stator slot dimensions of 14x12 mm 2 , stator yoke width of 7 mm, air-gap width of 0.5 mm, number of pole pairs 30 and the 20 number of turns per phase are kept constant during optimization. The values of these fixed parameters were established during stator material magnetic loading and induced voltage analyze. 2.1 Taguchi Method and Application To realize the optimization procedure based on variable parameters the Taguchi orthogonal array L9(3 4 ) is used. The parameter variations are shown in Table 1 and they define DOE design area. Table 1. Variation of each parameter Parameter Description Values [mm] name_1 name_2 name_3 axial length of pole shoe H_zob [mm] 29 22 15 pole-shoe width Kot_zob [mech. deg.] 3.6 2.8 2.2 thickness of flux concentrator Kot_konc [mech. deg.] 2.5 3.45 4.4 magnet radial height D_mag [mm] 4 6 8
2.2 Cogging Torque Minimization XIX Sympozjum PTZE, Worliny 2009 The cogging torque amplitudes for each combination of L9 orthogonal array is calculated with 3-D magneto-static finite element analyzes using virtual work principle. 2.3 Electromagnetic Torque Maximization and Minimization of Permanent-magnet's volume The 3-D time-stepping finite-element analysis, where the finite element model is connected to an external voltage-source inverter is used to analyze the TFM performance at nominal speed of 70 rpm and battery voltage Uaccu = 36 V. Voltage-source inverter was simulated as imposed currents to the TFM [7]. In the full paper, the optimization methodology will be described in details. Also, the optimized TFM geometry and measuring results will be presented. References [1] A. Masmoudi, A. Njeh, A. Mansouri, H. Trabelsi, A. Elantably “Optimizing the overlap Between the Stator Teeth of a Claw Pole Transverse-Flux permanent-Magnet Machine”, IEEE Transactions on Magnetics, vol. 40, no. 3, pp. 1573-1578, May 2004. [2] J.Y. Lee, J.P. Hong, J.H. Jang and D.H. Kang "Calculation of inductances in permanent magnet type transverse flux linear motor", International Journal of Applied Electromagnetics and Mechanics, Volume 20, Numbers 3-4/2004, pp. 117-124. [3] A. Abdelli, B. Sareni and X. Roboam, Optimization of a small passive wind turbine generator with multiobjective genetic algorithms, International Journal of Applied Electromagnetics and Mechanics, Volume 26, Number 3-4 / 2007, pp. 175-182 [4] G. Henneberger, I.A. Viorel, R. Blissenbach, A. D. Popan “On the Parameters comutation of Single Sided Transverse Flux Motor” Workshop on Elect. Mach. Param., Cluj-Napoca, pp. 35-40, May. 2001. [5] G. Taguchi, S. Chowdhury and S. Taguchi, “Robust Engineering”, New York: McGraw-Hill, 2000. [6] FLUX3D, software for electromagnetic design from CEDRAT, 2008. [7] Vanja Ambrožič, Rastko Fiser, David Nedeljkovic, "Direct current control – a new current regulation principle" IEEE trans. power electron., jan. 2003, vol. 18, no. 1, str. 495-503. 105
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2.2 Cogging Torque Minimization<br />
<strong>XIX</strong> <strong>Sympozjum</strong> <strong>PTZE</strong>, Worliny 2009<br />
The cogging torque amplitudes for each combination of L9 orthogonal array is calculated with<br />
3-D magneto-static finite element analyzes using virtual work principle.<br />
2.3 Electromagnetic Torque Maximization and Minimization of Permanent-magnet's<br />
volume<br />
The 3-D time-stepping finite-element analysis, where the finite element model is connected to<br />
an external voltage-source inverter is used to analyze the TFM performance at nominal speed<br />
of 70 rpm and battery voltage Uaccu = 36 V. Voltage-source inverter was simulated as imposed<br />
currents to the TFM [7].<br />
In the full paper, the optimization methodology will be described in details. Also, the<br />
optimized TFM geometry and measuring results will be presented.<br />
References<br />
[1] A. Masmoudi, A. Njeh, A. Mansouri, H. Trabelsi, A. Elantably “Optimizing the overlap<br />
Between the Stator Teeth of a Claw Pole Transverse-Flux permanent-Magnet Machine”, IEEE<br />
Transactions on Magnetics, vol. 40, no. 3, pp. 1573-1578, May 2004.<br />
[2] J.Y. Lee, J.P. Hong, J.H. Jang and D.H. Kang "Calculation of inductances in permanent<br />
magnet type transverse flux linear motor", International Journal of Applied Electromagnetics<br />
and Mechanics, Volume 20, Numbers 3-4/2004, pp. 117-124.<br />
[3] A. Abdelli, B. Sareni and X. Roboam, Optimization of a small passive wind turbine generator<br />
with multiobjective genetic algorithms, International Journal of Applied Electromagnetics<br />
and Mechanics, Volume 26, Number 3-4 / 2007, pp. 175-182<br />
[4] G. Henneberger, I.A. Viorel, R. Blissenbach, A. D. Popan “On the Parameters comutation of<br />
Single Sided Transverse Flux Motor” Workshop on Elect. Mach. Param., Cluj-Napoca, pp.<br />
35-40, May. 2001.<br />
[5] G. Taguchi, S. Chowdhury and S. Taguchi, “Robust Engineering”, New York: McGraw-Hill,<br />
2000.<br />
[6] FLUX3D, software for electromagnetic design from CEDRAT, 2008.<br />
[7] Vanja Ambrožič, Rastko Fiser, David Nedeljkovic, "Direct current control – a new current<br />
regulation principle" IEEE trans. power electron., jan. 2003, vol. 18, no. 1, str. 495-503.<br />
105
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