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1、2 IEEE TRANSACTIONS ON POWER ELECTRONICS. VOL. 5. NO I . JANUARY 1990 The Effects of Motor Parameters on the Performance of Brushless DC Drives ALAN K. WALLACE, SENIOR MEMBER, IEEE, AND RENE SPEE, MEMBER, IEEE Abs
2、tract-A simulation model for the transient performance predic- tion of brushless dc drives is described that does not require assump- tions of the phase balance of either the power electronic converter or the motor; n
3、or are idealized waveforms for induced voltage or phase and mutual inductance terms necessary. The model is applied to drives for which neither equivalent circuit nor d-q axis analyses are rigor- ously applicable. Tes
4、t results establish the degree of correlation of the predictions to a practical example. The model is then used to conduct a sensitivity study which not only explores the degrees of model com- plexity necessary for ad
5、equate representation but also provides guide- lines to system designers on the effects of certain practical configurations. I. INTRODUCTION HE interest in simulation of permanent magnet mo- T tors supplied from powe
6、r transistor converters began a few years ago with the potential developments of brush- less dc drives for aerospace actuator applications. More recently, this interest has broadened into developments for domestic an
7、d automotive drives, mainly because of the cost reductions possible with newer power semicon- ductors for the converters and projected savings from the use of neodymium alloys for the motors. The majority of publishe
8、d analytical work on this topic has followed equivalent circuit [I] or d-q axis model ap- proaches for the motors [2], [3], [4]. This has the effect of simplifying the motor representation to enable empha- sis on th
9、e converters and controllers. These methods are useful in that they provide insights into the operating prin- ciples of brushless dc drives and, hence, are suitable for investigation of system control techniques. Howe
10、ver, it must be acknowledged that these approaches to the mod- eling of the machine are idealized in that it is necessary to assume symmetry of system phases, balanced phase quantities, sinusoidal variations of induc
11、ed voltages, and constant or sinusoidally varying winding inductances. The construction of motors with unusual magnetic cir- cuits, which facilitate assembly and magnet mounting, can result in winding inductances whi
12、ch are neither constant nor vary in an idealized manner. Also, the movement away from sinusoidal supplies has removed the previously obvious desirability for sinusoidal induced voltages in the Manuscript received July
13、 I , 1987; revised August 16. 1989. This paper was presented at the 1987 IEEE Power Electronics Specialists Conference. Blacksburg, VA. June 21-26. The authors are with the Department of Electrical and Computer Engi-
14、 neering, Oregon State University, Corvallis OR 9733 I. IEEE Log Number 8931810. motors. This, in turn, has provided an additional degree of freedom in the motor design, which may be exploited for cost reduction. An
15、 analysis of brushless dc motor drives that would en- able investigation of nonidealized systems has been de- veloped by Demerdash, Nehl er al. [5], [6], 171. The model described in these publications required conside
16、r- able computer power and run time but was capable of sim- ulating drive system interactions neglected in the equiv- alent circuit and d-q axis approaches. However, the technique does not appear to have been applied
17、 to drive systems that required all its features. Starting from a three-phase representation, the authors have established a model which is free of many of the limitations of equivalent circuit or d-q models. Conse-
18、 quently, it can be used to investigate directly features such as current ripple and torque pulsations due to nonideal motor parameters which can be included only with diffi- culty [8] by the other models. The importa
19、nce of the in- teraction of converter details, such as pulsewidth modu- lated (PWM) technique, and motor parameters, such as induced voltage waveform, is stressed in this approach. The computation of the effects of t
20、hese interactions can be very time-consuming because of the necessity to in- clude the frequent changes of state. To overcome this problem of lengthy computer run times, a method of se- lecting step lengths for the n
21、umerical integration tech- nique has been developed with considerable success [9] for use on a personal computer. 11. SIMULATION MODEL The basis of the simulation process is the three-phase, lumped parameter model sh
22、own in the circuit of Fig. 1. In this model it is emphasized that no assumptions are necessary about the following conditions: 1) the balance of phases of either converter or ma- 2) the linearity of the circuit element
23、s; 3) the symmetry of the phases or the converter se- 4) the regularity and nature of the waveform of the in- 5 ) the purity of the dc source voltage. The emphasis of the modeling approach is to use the actual paramet
24、ers of the machine windings. Conse- chine; quencing; duced voltages; and 0885-8993/90/0100-0002$01 .OO 0 1990 IEEE 4 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 5. NO. 1. JANUARY 1990 Steel Care Permanent Magnets Fi
25、g. 2 . Schematic of test motor. Fig. 3. Induced open-circuit phase voltage 0 1 0 0200 300 rotor angle (el. degrees) Fig. 4. Motor phase inductance. rotor angle (el degrees) 0 I00 200 300 1 I I I I I I where P
26、 depends upon the speed of the motor. For phases “b“ and “c“ similar relationships displaced by 120“ and 240“ electrical, respectively, are appropriate. Significant parameters of the experimental machine are as follo
27、ws: phase resistance 0.3 Q, effective flux linkage phase inductance mutual inductance moment of inertia number of poles 4, rated speed 11 000 r/min, maximum speed 21 000 r/min, stator bore 2.125 in, rotor st
28、eel dimension 1.250 in, stator winding 13 turns/coil. The deliberate use of the simple magnet shape shown in the figure results in a square section magnetic circuit in the rotor. Although this enables a convenient co
29、nstruc- tion, the combination of rotor geometry and concentrated phase coils produces phase inductances and interphase mutual inductances that differ substantially from idealized forms. The nature of the inductance v
30、ariations as a func- tion of the angle between the reference axis on the stator and the axis of a chosen rotor pole (e,) were deduced, by the method outlined in Appendix I, i.e., to be of the forms shown in Figs. 4 a
31、nd 5 . Measured values provided 0.0525 V per el. rad/s as shown as shown in Fig. 4, as shown in Fig. 5 , 28 x lop6 kgm2, in Fig. 3, -140 Fig. 5. Motor mutual inductance the maxima and minima of these inductances an
32、d con- firmed the nature of the waveforms. For modeling pur- poses, these were represented in the computer simulation by the following expressions: PH I /2 Lus = 180 + 75 I sin e,( Lhs = 180 + 75)sin (0, + 60“)l L,
33、= 180 + 751sin (e, - 60°))( p H ( 5 ) I / 2 ' / 2 pH and Muh = -41 - 93 I sin (e, + 30“) I p H Mbc = -41 - 93 1 sin (e, - 90“) 1 p H Mcu = -41 - 93lsin (e, - 30“)/ pH. (6) A six-step, rectangu
34、lar wave, discontinuous current, transistorized inverter was used to power the motor with no external applied load. B. Correlation of Results The drive was simulated using the motor parameters given in (4), (5), and (
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