考虑输出电压平衡的三相四开关逆变器SVPWM过调制策略
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摘要
针对三相四开关逆变器(TPFSI)电压输出能力受限,且传统过调制方法存在输出三相电压基波幅值不平衡的问题,提出一种考虑输出电压平衡的空间矢量脉宽调制过调制算法。首先,推导三相四开关逆变器输出平衡三相电压的约束条件;然后,根据调制比的大小,将过调制区域分为三部分,即过调制Ⅰ区、过调制Ⅱ区和过调制Ⅲ区,并基于叠加定理分别选择用于矢量合成的电压矢量和加权系数,合成期望的电压矢量;最后,对传统的过调制算法与提出的基于叠加定理的过调制算法进行仿真研究和实验验证。结果表明:与传统的三相四开关逆变器过调制算法相比,所提出的过调制算法能够输出平衡的三相电压,且基波幅值与调制比呈线性关系,同时避免了控制角和保持角的在线计算或离线存储,具有易于数字化实现的优点。
The ability of voltage output for three-phase four-switch inverter(TPFSI) is limited, and the problem of three-phase fundamental voltage unbalance exists in traditional overmodulation strategy. As a result, an overmodulation algorithm of TPFSI for balanced output voltages was proposed. Firstly, the constraint condition for TPFSI outputting balanced three-phase voltages was derived. Then, according to the value of the modulation index, the overmodulation region is divided into three parts, namely overmodulation region I, overmodulation region II, and overmodulation region III. Next, the voltage vectors and the corresponding weighting coefficients were chosen to synthesis the reference voltage vector. Finally, the output voltage performance of the TPFSI using traditional overmodulation algorithm and the proposed overmodulation algorithm was simulated and validated, respectively. The results show that compared with traditional overmodulation algorithm, the proposed overmodulation algorithm based on superposition principle can output the balanced three-phase voltages, and the fundamental component of the output voltage is proportional to the modulation index. Meanwhile, the proposed algorithm can be easily digitally realized without online calculation or offline storage for the control angles and holding angles.
The ability of voltage output for three-phase four-switch inverter(TPFSI) is limited, and the problem of three-phase fundamental voltage unbalance exists in traditional overmodulation strategy. As a result, an overmodulation algorithm of TPFSI for balanced output voltages was proposed. Firstly, the constraint condition for TPFSI outputting balanced three-phase voltages was derived. Then, according to the value of the modulation index, the overmodulation region is divided into three parts, namely overmodulation region I, overmodulation region II, and overmodulation region III. Next, the voltage vectors and the corresponding weighting coefficients were chosen to synthesis the reference voltage vector. Finally, the output voltage performance of the TPFSI using traditional overmodulation algorithm and the proposed overmodulation algorithm was simulated and validated, respectively. The results show that compared with traditional overmodulation algorithm, the proposed overmodulation algorithm based on superposition principle can output the balanced three-phase voltages, and the fundamental component of the output voltage is proportional to the modulation index. Meanwhile, the proposed algorithm can be easily digitally realized without online calculation or offline storage for the control angles and holding angles.
引文
[1] 孙丹,何宗元,BLANCO I Y,等.四开关逆变器供电永磁同步电机直接转矩控制系统转矩脉动抑制[J].中国电机工程学报,2007,27(21):47.SUN Dan,HE Zongyuan,BLANCO I Y,et al.Torque ripple reduction for a four-switch inverter fed PMSM DTC system[J].Proceedings of the CSEE,2007,27(21):47.
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[4] 王文,罗安,黎燕.三相四开关并联有源电力滤波器的控制方法[J].电工技术学报,2014,29(10):183.WANG Wen,LUO An,LI Yan.Control method of three-phase four-switch shunt active power filter[J].Transactions of China Electrotechnical Society,2014,29(10):183.
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[6] 黄凯,郭源博,戴碧君,等.容错型牵引电机驱动系统的间接定子量控制[J].哈尔滨工业大学学报,2016,48(9):157.HUANG Kai,GUO Yuanbo,DAI Bijun,et al.Indirect stator-quantities control of fault-tolerant traction drive system[J].Journal of Harbin Institute of Technology,2016,48(9):157.
[7] WANG R,ZHAO J,LIU Y.A comprehensive investigation of four switch three-phase voltage source inverter based on double Fourier integral analysis[J].IEEE Transaction on Power Electronics,2011,26(10):2774.
[8] CORRêA M B R,JACOBINA C B,DA SILVA E R C,et al.A general PWM strategy for four-switch three-phase inverter[J].IEEE Transactions on Power Electronics,2006,21(6):1618.
[9] DZUNG P Q,PHUONG L M,VINH P Q,et al.New space vector control approach for four switch three phase inverter (FSTPI) [C]// International Conference on Power Electronics and Drive Systems,November 27-30,2007,Bangkok,Thailand.2007:1002-1008.
[10] ZENG Z Y,ZHU C,JIN X L,et al.Hybrid space vector modulation strategy for torque ripple minimization in three-phase four-switch inverter-fed PMSM drives[J].IEEE Transactions on Power Electronics,2017,64(3):2122.
[11] NGUYEN T D,NGUYEN H M,LEE H H.Adaptive carrier-based PWM for a four-switch three-phase inverter under DC-link voltage ripple conditions[J].Journal of Electrical Engineering and Technology,2010,5(2):290.
[12] 吴德会,夏晓昊,张忠远,等.基于三相桥臂坐标的SVPWM过调制方法[J].电工技术学报,2015,30(1):150.WU Dehui,XIA Xiaohao,ZHANG Zhongyuan,et al.A SVPWM overmodulation method based on three-phase bridge arm coordinates[J].Transactions of China Electrotechnical Society,2015,30(1):150.
[13] 吴晓新,柳巍,阮毅,等.一种SVPWM过调制算法及其在两电平逆变器中的应用[J].电机与控制学报,2015,19(1):76.WU Xiaoxin,LIU Wei,RUAN Yi,et al.SVPWM over-modulation algorithm and its application in two-level inverter [J].Electric Machines and Control,2015,19(1):76.
[14] 樊扬,瞿文龙,陆海峰,等.基于叠加原理的SVPWM过调制算法[J].清华大学学报(自然科学版),2008,48(4):461.FAN Yang,QU Wenlong,LU Haifeng,et al.SVPWM over-modulation algorithm based on superposition principle[J].Journal of Tsinghua University(Science and Technology),2008,48(4):461.
[15] SUN K,WEI Q,HUANG L P,et al.An overmodulation method for PWM-inverter-fed IPMSM drive with single current sensor[J].IEEE Transactions on Industrial Electronics,2010,57(10):3395.
[16] 刘贺,姜建国,乔树通.一种应用于多电平SVPWM的过调制算法[J].电机与控制学报,2016,20(1):7.LIU He,JIANG Jianguo,QIAO Shutong.An over-modulation scheme of SVPWM used in multi-level inverters[J].Electric Machines and Control,2016,20(1):7.
[2] 滕青芳,李国飞,朱建国,等.三相四开关容错逆变器的PMSM驱动系统FCS-MPC策略[J].电机与控制学报,2016,20(10):15.TENG Qingfang,LI Guofei,ZHU Jianguo,et al.Finite-control-set model predictive control for PMSM systems driven by three-phase four-switch fault-tolerant inverter[J].Electric Machines and Control,2016,20(10):15.
[3] BADSI B El,BOUZIDI B,MASMOUDI A.DTC scheme for a four-switch inverter fed induction motor emulating the six-switch inverter operation[J].IEEE Transaction on Power Electronics,2013,28(7):3528.
[4] 王文,罗安,黎燕.三相四开关并联有源电力滤波器的控制方法[J].电工技术学报,2014,29(10):183.WANG Wen,LUO An,LI Yan.Control method of three-phase four-switch shunt active power filter[J].Transactions of China Electrotechnical Society,2014,29(10):183.
[5] 安群涛,孙醒涛,赵克,等.容错三相四开关逆变器控制策略[J].中国电机工程学报,2010,33(3):14.AN Quntao,SUN Xingtao,ZHAO Ke,et al.Control strategy for fault-tolerant three-phase four-switch inverters[J].Proceedings of the CSEE,2010,33(3):14.
[6] 黄凯,郭源博,戴碧君,等.容错型牵引电机驱动系统的间接定子量控制[J].哈尔滨工业大学学报,2016,48(9):157.HUANG Kai,GUO Yuanbo,DAI Bijun,et al.Indirect stator-quantities control of fault-tolerant traction drive system[J].Journal of Harbin Institute of Technology,2016,48(9):157.
[7] WANG R,ZHAO J,LIU Y.A comprehensive investigation of four switch three-phase voltage source inverter based on double Fourier integral analysis[J].IEEE Transaction on Power Electronics,2011,26(10):2774.
[8] CORRêA M B R,JACOBINA C B,DA SILVA E R C,et al.A general PWM strategy for four-switch three-phase inverter[J].IEEE Transactions on Power Electronics,2006,21(6):1618.
[9] DZUNG P Q,PHUONG L M,VINH P Q,et al.New space vector control approach for four switch three phase inverter (FSTPI) [C]// International Conference on Power Electronics and Drive Systems,November 27-30,2007,Bangkok,Thailand.2007:1002-1008.
[10] ZENG Z Y,ZHU C,JIN X L,et al.Hybrid space vector modulation strategy for torque ripple minimization in three-phase four-switch inverter-fed PMSM drives[J].IEEE Transactions on Power Electronics,2017,64(3):2122.
[11] NGUYEN T D,NGUYEN H M,LEE H H.Adaptive carrier-based PWM for a four-switch three-phase inverter under DC-link voltage ripple conditions[J].Journal of Electrical Engineering and Technology,2010,5(2):290.
[12] 吴德会,夏晓昊,张忠远,等.基于三相桥臂坐标的SVPWM过调制方法[J].电工技术学报,2015,30(1):150.WU Dehui,XIA Xiaohao,ZHANG Zhongyuan,et al.A SVPWM overmodulation method based on three-phase bridge arm coordinates[J].Transactions of China Electrotechnical Society,2015,30(1):150.
[13] 吴晓新,柳巍,阮毅,等.一种SVPWM过调制算法及其在两电平逆变器中的应用[J].电机与控制学报,2015,19(1):76.WU Xiaoxin,LIU Wei,RUAN Yi,et al.SVPWM over-modulation algorithm and its application in two-level inverter [J].Electric Machines and Control,2015,19(1):76.
[14] 樊扬,瞿文龙,陆海峰,等.基于叠加原理的SVPWM过调制算法[J].清华大学学报(自然科学版),2008,48(4):461.FAN Yang,QU Wenlong,LU Haifeng,et al.SVPWM over-modulation algorithm based on superposition principle[J].Journal of Tsinghua University(Science and Technology),2008,48(4):461.
[15] SUN K,WEI Q,HUANG L P,et al.An overmodulation method for PWM-inverter-fed IPMSM drive with single current sensor[J].IEEE Transactions on Industrial Electronics,2010,57(10):3395.
[16] 刘贺,姜建国,乔树通.一种应用于多电平SVPWM的过调制算法[J].电机与控制学报,2016,20(1):7.LIU He,JIANG Jianguo,QIAO Shutong.An over-modulation scheme of SVPWM used in multi-level inverters[J].Electric Machines and Control,2016,20(1):7.