105 CHAPTER 6 BRIDGELESS PFC CUK CONVERTER FED PMBLDC MOTOR 6.1 GENERAL The line current drawn by the conventional diode rectifier filter capacitor is peaked pulse current. This results in utility line distortion. With the ever increasing demand for power quality for utility, power factor correction has become a basic requirement in switching power supply. High quality converters are used to interface the AC line and DC load to make the load appear resistive, so as to achieve the unity power factor even in the presence of distorted line voltage. The most popular topology is the boost topology, since it is simple from the point of view of both power and control. However, there are limitations like a greater output voltage than the peak input voltage, implementation difficulty in the case of high-frequency insulation, lack of current insulation in the start-up and overload conditions, and the requirement of complex control devices. Ripple currents are limited only by the inductor size. Since the boost converter is operated in the CCM, the inductor required is large. This will, in turn, increase crossover distortion. The boost converter is in the DCM, and it also acts as an automatic current wave shaper. This however, requires high conversion gain to reduce distortion. As the ripple currents in the DCM are high, line harmonics have to be filtered, and to overcome them, the Cuk converter is preferred. The most popular PFC converter topology is boost topology, as it is simple from the point of view of both power and control. Since they have
106 limitations like a greater output voltage than the peak input voltage, difficulty in the implementation of high-frequency insulation, lack of current insulation during the start-up and overload conditions, to overcome them the Cuk converter is preferred. For the PMBLDC drive, a Cuk DC-DC converter is proposed as a PFC converter, since it has continuous input and output currents, a wide output voltage range and a small output filter. Apart from improving the power quality in the AC mains, the Cuk converter also controls the voltage at the DC link for achieving the desired speed of the PMBLDC motor. In boost converters ripples can be reduced only by reducing the inductor size. Since the boost converter operates in a continuous conduction mode (CCM), the inductor required is larger in size, which in turn, increases crossover distortion. In the Cuk converter, the input current ripples can be reduced by inductor coupling. The Cuk converter can also step up or step down voltage depending on the switching duty cycle. The main difference between the two is that, because of the series inductors at both the input and output, the Cuk converter has a much lower current ripple. By careful adjustment of the inductor values, these ripples can also be nullified either in the input or the output. These converters operate in the DCM, even with a simple control. The unity power factor can be achieved without any dutycycle modulation. While the DCM is suited for low-power applications, the CCM is preferred for medium and high- power applications. An adjustable speed controlled VSI fed PMBLDC motor is presented in this Chapter; the speed control is based on the digital simulation of a Bridgeless Power Factor Correction (BLPFC) Cuk converter. A singlephase AC-DC converter topology based on the Cuk converter is employed for the PFC, which ensures near unity power factor over wide speed ranges. The proposed speed control scheme is based on the concept of DC link voltage
107 control being proportional to the desired speed of the PMBLDC motor, and the speed being regulated by a PI controller. The PFC converter based PMBLDC motor drive is designed, modeled and simulated using the MATLAB- Simulink environment. The merits of the proposed power converter include the unity power factor, less harmonic content, less switching loss, simpler control stage, higher power density and unidirectional power flow. This drive ensures high accuracy and robust operation from near zero to high speed. 6.2 PRINCIPLE OF THE BRIDGELESS CUK CONVERTER TOPOLOGY The conventional PFC Cuk converter is shown in Figure 6.1. It shows the current flowing through the two rectifier diodes, the power switch S during the switch turn-on period, and flows through the other two rectifier bridge diodes, and the output diode D0 during the switch turn-off period. Thus, for each switching cycle three semiconductor devices conduct the current. Though this arrangement is suitable for low power applications, high conduction losses reduce the system efficiency, when used for high power applications. This necessitates having a bridge rectifier with a higher current handling capacity, but it will ultimately increase the size and cost of the power supply. Figure 6.1 Conventional Cuk Topology
108 To maximize power supply efficiency, many studies have been done leading to the development of efficient bridgeless PFC circuit topologies. The bridgeless PFC circuit allows the current to flow through a minimum number of switching devices compared to the conventional PFC circuit, thus minimizing the conduction losses and improving efficiency. Nevertheless, BLPFC is characteristic of a small number of power switches, making room for low power loss. Additionally, in the conventional active PFC, the power switches are in the on and off states in a whole mains period. They have to endure high voltage and current stresses, resulting in huge switching and conduction losses, limiting their efficiency. However, the bridgeless PFC boost rectifier has a significantly larger common-mode noise than the conventional PFC boost rectifier. The bridgeless topologies of the Cuk converter shown in Figure 6.2 have been proposed, to overcome the drawbacks of the bridgeless PFC boost rectifiers, but they require an isolated gate-drive. Figure 6.2 Bridgeless Cuk Converter topology This topology offers several advantages in PFC applications, like easy implementation of transformer isolation, inherent inrush current limitations during start-up and overload condition, lower input current ripple,
109 and less electromagnetic interference associated with the DCM topology. It can be seen from a scrutiny of Figure 6.2, that there are one or two semiconductors in the current path, reducing the conduction losses as well thermal stresses on the switching devices. The supply line is always connected to the output ground, through the slow-recovery diodes D n and D p. Thus, the proposed bridgeless topology does not suffer from the high common-mode EMI noise emission problems. The bridgeless Cuk converter uses two power switches S1 and S2, two low-recovery diodes D p and D n, and a fast diode D o. The control circuitry is a simplified one, since the two power switches are driven using the same control signal. The presence of the third inductor in the bridgeless topology is often regarded as a disadvantage in terms of size and cost. However, the three inductors can be coupled on to the same magnetic core to reduce the size and cost of the proposed topology. Since each power switch in the bridgeless Cuk converter operates during the half line period, the stress on the switches is reduced. The main applications of the Cuk converter are in the regulated power supplies, where a negative polarity output may be desired, with respect to the common terminals of the input voltage, and where the average output is either higher or lower than the DC input voltage. The Cuk converter has been designed for a PMBLDC motor, considering an improved power factor, speed control, and allowable ripple in DC link voltage. The proposed bridgeless PFC Cuk converter has been designed for the closed loop control and power factor improvement in a PMBLDC drive. The DC link voltage of the PFC converter is as follows: V o V ac D 1 D (6.1) V ac is the diode bridge rectifier output for a given AC input voltage (V s ).
110 V ac and V s are related as V 2 2 s V ac (6.2) A ripple filter has been designed for ripple free voltage at the DC link of the Cuk converter. The inductor (L 3 ) of the ripple filter restricts the inductor peak to peak ripple current ( i L3 ) within specified limits, for a switching frequency of (f s ). The capacitance C 0 is placed for the allowed ripple in the DC link voltage (V 0 ). The ripple filter inductance and capacitance are given as L 3 (1 D) Vdc f ( il ) s 3 (6.3) C 0 il3 2 V 0 (6.4) The PFC Cuk converter is designed for a supply voltage of 230V, L 3 =.5mH, C o = 2200µF. 6.3 SIMULATION RESULTS The technical specifications of the drive system are as follows: C= 2200 µf.t ON = 5.88 µsecs. T OFF = 5.88µsecs.T= 11.76 µsecs. Stator Resistance is 2.875 ohms, Stator Inductance is 8.5mH, and the Motor inertia is 0.8mJ. Based on the designed circuit parameters, the MATLAB simulation was done and the results are presented here; speed was set at 1800 rpm and the load torque disturbances are applied at time t=1 sec. The speed regulations obtained at this speed and the simulation results are shown.
111 6.3.1 PMBLDC Motor fed from a Bridgeless PFC Cuk converter The MATLAB simulation of the PFC bridgeless Cuk converter fed PMBLDC motor has been carried out, and the simulation results are presented. Figure 6.3 shows the Simulink model of a bridgeless Cuk Converter. The Simulink model of a closed loop controlled PMBLDC drive with a bridgeless PFC Cuk converter and a PI controller, is shown in Figure 6.4. A bridgeless PFC Cuk converter was used at the input to improve the power factor. The AC input voltage and the current waveforms of the closed loop controlled PMBLDC drive, fed from a bridgeless PFC Cuk converter are shown in Figure 6.5. Figure 6.3 Bridgeless Cuk Converter Circuit Figure 6.4 Closed Loop Speed Control of the PMBLDC Motor with the Bridgeless PFC Cuk Converter
112 Figure 6.5 Input voltage and current waveforms It can be seen from a scrutiny of the figure, that the phase difference between the input voltage and current is reduced. Hence, the power factor improves by the use of a bridgeless Cuk converter as the PFC converter for a PMBLDC drive, and the power factor has been found to be higher than that of a PFC Zeta converter fed PMBLDC motor. The switching pulses for the bridgeless Cuk Converter are shown in Figure 6.6. The step change, which is applied at t=1 sec of load torque, is shown in Figure 6.7. Figure 6.6 Switching pulses for the bridgeless Cuk Converter
113 The ripples in the torque are due to the current ripples produced by switching. It is not possible to generate ideal rectangular currents, due to the time delay introduced in machine inductance. Hence, the shape of the current becomes more or less trapezoidal and produces a large commutation-torque ripple, which might be around 10% of the rated torque. Further, the induced emfs are not exactly trapezoidal, because of significant slot harmonics. They, in turn, will also generate harmonic torque ripples, as can be seen in Figure 6.7. The rotor stands still at time zero. The speed then settles at a rated 800 rpm even before 0.4sec, as it could be seen from Figure 6.8. Figure 6.7 Step Change in load torque applied at t=1 sec Figure 6.8 Speed Response The FFT analysis presented in Figure 6.9 shows, that the THD is only 0.73 % when a bridgeless Cuk converter is used as the PFC converter in a PMBLDC drive.
114 Figure 6.9 FFT Analysis of the source current A scrutiny of Figure 6.8 will show that the closed loop system brings the motor to its normal speed and it remains constant even after disturbances in the load torque.
115 6.4 EXPERIMENTAL RESULTS A bridgeless Cuk converter fed BLDC motor was fabricated and tested. The hardware consists of a power circuit, a control circuit and a PMBLDC motor. The experimental setup is shown in Figure 6.10. The Cuk converter board is shown separately in Figure 6.11. The Inverter and BLDC driver board are shown in Figure 6.12. The Input voltage and current waveforms are shown in Figure 6.13. The Harmonic Spectrum of source voltage is shown in Figure 6.14. The technical specifications of the drive system are as follows C in = 2200 microfarad. Input voltage is 48V, Bridgeless boost converter output is 58V.Diode IN4007, Microcontroller AT89C2051, MOSFET IRF840, Driver IR2110, Voltage (0-500V) and Current 8A are used. Figure 6.10 Experimental setup
116 Figure 6.11 Bridgeless Cuk converter board Figure 6.12 Inverter and BLDC drive board
117 Figure 6.13 Input Voltage and input current waveforms Figure 6.14 Harmonic Spectrum of source voltage
118 6.5 CONCLUSION The switching frequency harmonics are found to be greatly reduced, by coupling the two inductors,enabling the Cuk converter to behave as an automatic current waveshaper with no current control. The lag effect in the input current at zero crossing is negligible as the inductance used is much smaller in the case of the DCM. Isolation can be made by introducing highfrequency transformer isolation. The transformer and the two inductors can be integrated into one magnetic structure. By this arrangement, both the output and input ripples can be transferred to the transformer, where the AC ripple inherently exists as the magnetising current of the transformer. A PFC Cuk converter based PMBLDC drive was simulated, using the Matlab Simulink environment. Feedback signals from the PMBLDC motor representing speed and position were utilized, to get the driving signals for the inverter switches through a PI controller. It has been found that the power factor has improved with the use of the Cuk converter. The efficiency has increased due to the increase in the power factor. The PFC feature of the Cuk converter has ensured the power factor close to unity. The Cuk Converter fed PMBLDC motor is preferred to the other systems, because of the improved power factor.