单相级联H桥整流器简化模型预测电流控制
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摘要
以电力电子变压器(power electronic transformer,PET)牵引传动系统前端的单相级联H桥整流器(cascadedH-bridge rectifiers,CHBR)为研究对象,首先推导了其离散数学模型,并分析了传统有限集模型预测电流控制(finite-control-set model predictive current control,FCS-MPCC)算法原理;然后,为了减小FCS-MPCC算法实现时所带来的巨大计算量,进一步提高系统稳态性能,提出一种基于两矢量的简化模型预测控制算法(simplified model predictive currentcontrol,SMPCC)。所提算法对控制集的选取进行简化,减少备选电压矢量数目,且摒弃传统的在线寻优方法,通过简化计算判断最优扇区,在显著减少数字运算量的同时实现开关频率固定与电容电压平衡控制。最后,将所提算法与2种传统FCS-MPCC算法进行半实物对比验证,实验结果证明了所提算法的合理性和有效性。
This paper focuses on single-phase cascaded H-bridge rectifiers(CHBR) adopted as the front-end converter in traction drive system based on power electronic transformer(PET). Firstly, a discrete mathematical expression of CHBR was developed and the operation principle of traditional finite-control-set model predictive current control(FCS-MPCC)scheme was analyzed. And then, a simplified model predictive current control(SMPCC) scheme based on two vectors was proposed to reduce the computation complexity of the conventional FCS-MPCC scheme and improve steady-state performance. The proposed algorithm simplifies the selection of the control set and reduces the number of alternative voltage vectors. Meanwhile, it solves the optimal sector without the assessment of the cost function, which achieves DC-link voltage balance control with constant switching frequency.Finally, compared to the two conventional FCS-MPCCs, a comprehensive experimental comparison has been conducted in hardware-in-loop experimental platform, and experimental results have verified the feasibility and effectiveness of the proposed scheme.
This paper focuses on single-phase cascaded H-bridge rectifiers(CHBR) adopted as the front-end converter in traction drive system based on power electronic transformer(PET). Firstly, a discrete mathematical expression of CHBR was developed and the operation principle of traditional finite-control-set model predictive current control(FCS-MPCC)scheme was analyzed. And then, a simplified model predictive current control(SMPCC) scheme based on two vectors was proposed to reduce the computation complexity of the conventional FCS-MPCC scheme and improve steady-state performance. The proposed algorithm simplifies the selection of the control set and reduces the number of alternative voltage vectors. Meanwhile, it solves the optimal sector without the assessment of the cost function, which achieves DC-link voltage balance control with constant switching frequency.Finally, compared to the two conventional FCS-MPCCs, a comprehensive experimental comparison has been conducted in hardware-in-loop experimental platform, and experimental results have verified the feasibility and effectiveness of the proposed scheme.
引文
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[5]王立乔,齐飞.级联型多电平变流器新型载波相移SPWM研究[J].中国电机工程学报,2010,30(3):28-34.Wang Liqiao,Qi Fei.Novel carrier phase-shifted SPWMfor cascade multilevel converter[J].Proceedings of the CSEE,2010,30(3):28-34(in Chinese).
[6]马俊鹏,宋文胜,王顺亮,等.单相三电平脉冲整流器无差拍预测直接功率控制[J].中国电机工程学报,2015,35(4):935-943.Ma Junpeng,Song Wensheng,Wang Shunliang.Deadbeat predictive direct power control of single-phase three-level pulse rectifiers[J].Proceedings of the CSEE,2015,35(4):935-943(in Chinese).
[7]Brenna M,Foiadelli F,Zaninelli D.New stability analysis for tuning PI controller of power converters in railway application[J].IEEE Transactions on Industrial Electronics,2011,58(2):533-543.
[8]Zmood D N,Holmes D.Stationary frame current regulation of PWM inverters with zero steady-state error[J].IEEE Transactions on Power Electronics,2003,18(3):814-822.
[9]宋文胜,冯晓云,谢望玉.单相三电平d-q坐标系下的控制与SVPWM方法[J].电机与控制学报,2012,16(4):56-63.Song Wensheng,Feng Xiaoyun,Xie Wangyu.Space vector pulse width modulation and control technique for single phase three level rectifier in d-q coordinate system[J].Electric Machines and Control,2012,16(4):56-63(in Chinese).
[10]Dahono P A.New hysteresis current controller for singlephase full bridge inverters[J].IET Power Electronics,2009,2(5):585-594.
[11]Pavlou K G,Vasiladiotis M,Manias S N.Constrained model predictive control strategy for single-phase switch-model rectifiers[J].IET Power Electronics,2012,5(1):31-40.
[12]Hung G K,Chang C C,Chen C L.Analysis and implementation of a delay-compensated deadbeat current controller for solar inverters[J].IEE Proceedings-Circuits,Devices and Systems,2001,148(5):279-286.
[13]Papafotiou G,Kley J,Papadopoulos K G.Model predictive direct torque control-Part II:implementation and experimental evaluation[J].IEEE Transactions on Industrial Electronics,2009,56(6):1906-1915.
[14]Kouro S,Cortes P,Vargas R,et al.Model predictive direct torque control-Part II:Implementation and experimental evaluation[J].IEEE Transactions on Industrial Electronics,2009,56(6):1826-1838.
[15]Rodriguez J,Kazmierkowski M P,Espinoza J R,et al.State of the art of finite control set model predictive control in power electronics[J].IEEE Transactions on Industrial Informatics,2013,9(2):1003-1016.
[16]Vazquez S,Leon J I,Franquelo L G,et al.Model predictive control:a review of its applications in power electronics[J].IEEE Transactions on Industrial Electronics,2014,8(1):16-31.
[17]Zhang Y,Xie W,Li Z,et al.Model predictive direct power control of a PWM rectifier with duty cycle optimization[J].IEEE Transactions on Power Electronics,2013,28(11):5343-5351.
[18]Hu J,Zhu Z Q.Improved voltage-vector sequences on dead-beat predictive direct power control of reversible three-phase grid-connected voltage-source converters[J].IEEE Transactions on Power Electronics,2013,28(1):254-267.
[19]曹晓冬,谭国俊,王从刚,等.一种低开关频率PWM整流器的满意预测控制策略[J].中国电机工程学报,2013,33(27):69-77.Cao Xiaodong,Tan Guojun,Wang Conggang,et al.Aresearch on low switching frequency PWM rectifiers with satisfactory and model predictive control[J].Proceedings of the CSEE,2013,33(27):69-77(in Chinese).
[20]Karamanakos P,Pavlou K,Manias S.An enumerationbased model predictive control strategy for the cascaded H-bridge multilevel rectifier[J].IEEE Transactions on Industrial Electronics,2014,61(7):3480-3489.
[21]沈坤,章兢,王坚,等.一种多步预测的变流器有限控制集模型预测控制算法[J].中国电机工程学报,2012,32(33):37-44.Shen Kun,Zhang Jing,Wang Jian,et al.A model predictive control scheme of multi-step prediction finite control set for converters[J].Proceedings of the CSEE,2012,32(33):37-44(in Chinese).
[22]Xia C,Liu T,Shi T,et al.A simplified finite-control-set model-predictive control for power converters[J].IEEETransactions on Industrial Informatics,2014,10(2):991-1002.
[23]Karamanakos P,Geyer T,Kennel R.Suboptimal search strategies with bounded computational complexity to solve long-horizon direct model predictive control problems[C]//IEEE Energy Conversion Congress and Exposition(ECCE).Montreal,Canada:IEEE,2015:334-341.
[24]Geyer T.Computationally efficient model predictive direct torque control[J].IEEE Transactions on Power Electronics,2011,26(10):2804-2816.
[25]Fang H,Zhang Z,Feng X,et al.Ripple-reduced model predictive direct power control for active front-end power converters with extended switching vectors and time-optimised control[J].IET Power Electronics,2016,9(9):1914-1923.
[2]Cecati C,Dell’Aquila A,Liserre M,et al.Design of H-bridge multilevel active rectifier for traction systems[J].IEEE Transactions on Industry Applications,2003,39(5):1541-1550.
[3]康劲松,张烨.多电平变流器在风力发电系统中的应用[J].中国电机工程学报,2009,29(24):20-25.Kang Jinsong,Zhang Ye.Multi-level converter applied to wind power generation system[J].Proceedings of the CSEE,2009,29(24):20-25(in Chinese).
[4]Townsend C D,Summers T J,Betz R E.Impact of practical issues on the harmonic performance of phase-shifted modulation strategies for a cascaded H-bridge StatCom[J].IEEE Transactions on Industrial Electronics,2014,61(6):2655-2664.
[5]王立乔,齐飞.级联型多电平变流器新型载波相移SPWM研究[J].中国电机工程学报,2010,30(3):28-34.Wang Liqiao,Qi Fei.Novel carrier phase-shifted SPWMfor cascade multilevel converter[J].Proceedings of the CSEE,2010,30(3):28-34(in Chinese).
[6]马俊鹏,宋文胜,王顺亮,等.单相三电平脉冲整流器无差拍预测直接功率控制[J].中国电机工程学报,2015,35(4):935-943.Ma Junpeng,Song Wensheng,Wang Shunliang.Deadbeat predictive direct power control of single-phase three-level pulse rectifiers[J].Proceedings of the CSEE,2015,35(4):935-943(in Chinese).
[7]Brenna M,Foiadelli F,Zaninelli D.New stability analysis for tuning PI controller of power converters in railway application[J].IEEE Transactions on Industrial Electronics,2011,58(2):533-543.
[8]Zmood D N,Holmes D.Stationary frame current regulation of PWM inverters with zero steady-state error[J].IEEE Transactions on Power Electronics,2003,18(3):814-822.
[9]宋文胜,冯晓云,谢望玉.单相三电平d-q坐标系下的控制与SVPWM方法[J].电机与控制学报,2012,16(4):56-63.Song Wensheng,Feng Xiaoyun,Xie Wangyu.Space vector pulse width modulation and control technique for single phase three level rectifier in d-q coordinate system[J].Electric Machines and Control,2012,16(4):56-63(in Chinese).
[10]Dahono P A.New hysteresis current controller for singlephase full bridge inverters[J].IET Power Electronics,2009,2(5):585-594.
[11]Pavlou K G,Vasiladiotis M,Manias S N.Constrained model predictive control strategy for single-phase switch-model rectifiers[J].IET Power Electronics,2012,5(1):31-40.
[12]Hung G K,Chang C C,Chen C L.Analysis and implementation of a delay-compensated deadbeat current controller for solar inverters[J].IEE Proceedings-Circuits,Devices and Systems,2001,148(5):279-286.
[13]Papafotiou G,Kley J,Papadopoulos K G.Model predictive direct torque control-Part II:implementation and experimental evaluation[J].IEEE Transactions on Industrial Electronics,2009,56(6):1906-1915.
[14]Kouro S,Cortes P,Vargas R,et al.Model predictive direct torque control-Part II:Implementation and experimental evaluation[J].IEEE Transactions on Industrial Electronics,2009,56(6):1826-1838.
[15]Rodriguez J,Kazmierkowski M P,Espinoza J R,et al.State of the art of finite control set model predictive control in power electronics[J].IEEE Transactions on Industrial Informatics,2013,9(2):1003-1016.
[16]Vazquez S,Leon J I,Franquelo L G,et al.Model predictive control:a review of its applications in power electronics[J].IEEE Transactions on Industrial Electronics,2014,8(1):16-31.
[17]Zhang Y,Xie W,Li Z,et al.Model predictive direct power control of a PWM rectifier with duty cycle optimization[J].IEEE Transactions on Power Electronics,2013,28(11):5343-5351.
[18]Hu J,Zhu Z Q.Improved voltage-vector sequences on dead-beat predictive direct power control of reversible three-phase grid-connected voltage-source converters[J].IEEE Transactions on Power Electronics,2013,28(1):254-267.
[19]曹晓冬,谭国俊,王从刚,等.一种低开关频率PWM整流器的满意预测控制策略[J].中国电机工程学报,2013,33(27):69-77.Cao Xiaodong,Tan Guojun,Wang Conggang,et al.Aresearch on low switching frequency PWM rectifiers with satisfactory and model predictive control[J].Proceedings of the CSEE,2013,33(27):69-77(in Chinese).
[20]Karamanakos P,Pavlou K,Manias S.An enumerationbased model predictive control strategy for the cascaded H-bridge multilevel rectifier[J].IEEE Transactions on Industrial Electronics,2014,61(7):3480-3489.
[21]沈坤,章兢,王坚,等.一种多步预测的变流器有限控制集模型预测控制算法[J].中国电机工程学报,2012,32(33):37-44.Shen Kun,Zhang Jing,Wang Jian,et al.A model predictive control scheme of multi-step prediction finite control set for converters[J].Proceedings of the CSEE,2012,32(33):37-44(in Chinese).
[22]Xia C,Liu T,Shi T,et al.A simplified finite-control-set model-predictive control for power converters[J].IEEETransactions on Industrial Informatics,2014,10(2):991-1002.
[23]Karamanakos P,Geyer T,Kennel R.Suboptimal search strategies with bounded computational complexity to solve long-horizon direct model predictive control problems[C]//IEEE Energy Conversion Congress and Exposition(ECCE).Montreal,Canada:IEEE,2015:334-341.
[24]Geyer T.Computationally efficient model predictive direct torque control[J].IEEE Transactions on Power Electronics,2011,26(10):2804-2816.
[25]Fang H,Zhang Z,Feng X,et al.Ripple-reduced model predictive direct power control for active front-end power converters with extended switching vectors and time-optimised control[J].IET Power Electronics,2016,9(9):1914-1923.