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Extra info for Mechatronics and Automatic Control Systems: Proceedings of the 2013 International Conference on Mechatronics and Automatic Control Systems (ICMS2013)
Therefore, low-cost static converters which can improve the quality are required in single-phase induction motor drives [3–5]. The variable frequency speed regulation technology in induction motor speed control systems with its high speed and start-up performance, high power factor and power saving effect was made using more and more extensive in the motor control. But at present the most research of variable frequency control mainly focus on three-phase motor, the single-phase motor research is not enough, makes it less maturing than three-phase motor control technique.
4 Magnetic induction waveform of normal phase A winding Bδ − π 2 A 0 π 6 π 2 7π 6 θ X B Y Bδ Fig. 5 Magnetic induction waveform of the rest winding of faulty phase A − π 2 A A' 0 π 6 π 2 7π 6 θ A' X B Y So the self-inductance of the rest winding in phase A is La 0 ¼ Ψa0 πμ0 ð1 À St Þ2 W 2 ld rd ¼ ¼ ð1 À St Þ2 L Ia0 2δi Similarly, the self-inductance of the short winding in phase A is Ls ¼ Ψs πμ0 St 2 W 2 ld rd ¼ ¼ St 2 L Is 2δi The mutual-inductance between the rest and the short winding in phase A is Ma0 s ¼ Ψa0 s πμ0 St ð1 À St ÞW 2 ld rd ¼ ¼ St ð1 À St ÞL Ia0 2δi The ramp angle between the rest winding in phase A and the winding in phase B is 120 , so the mutual-inductance between them is 40 K.
When phase C and phase B conduct, currents flowing through the short windings are not equal in amplitude, because that them contain components of current in phase C, as shown in Fig. 8. So currents flowing through short windings can’t be regard as one parameter. Voltage balance equation is as follows. U ¼ RI þ Q Where I ¼ ½ ia0 U ¼ ½ ua0 ub0 uc uas ib0 ic ias ibs T ; dI þE dt ubs T ; 2 E ¼ ½ ea0 eb0 ec eas (6) R ¼ diag½ ra0 rb0 r La 0 6 Ma0 b0 6 6 ebs T Q ¼ 6 Ma0 c 6 4 Ma0 as Ma0 b0 Lb0 Ma0 c Mb0 c Ma0 as Mb0 c Mb0 as L Mcas Mcas Las Ma0 bs Mb0 bs Mcbs Mas bs Mb0 as ras rb s ; Ma0 bs 3 Mb0 bs 7 7 7 Mcbs 7 ; 7 Mas bs 5 Lbs Modeling and Simulation of Short Circuit Faults in Stator Coils of Brushless.