《航空高压直流供电系统中三相Vienna整流器的控制策略研究》之二——基于模糊幂次趋近律的双闭环滑模控制策略研究
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摘要
针对传统的幂次趋近律在远离滑模面时趋近速度较小的问题,提出了一种基于模糊幂次趋近律的双闭环滑模控制策略。通过建立模糊规则,使趋近律的幂次能够根据系统状态进行相应调节,保证了其在远离和接近滑模面时均能保持较高的趋近速度。通过对广义滑模条件和到达时间有界的证明,从理论上证明了该趋近律能够使系统在有限时间内到达参考值;在此基础上,将幂次趋近律应用到Vienna整流器的控制闭环中,内、外环分别采用了直接电流控制和输出电压控制,且为提高中点电位的调节能力,将上下电容电压值均作为输入量加入到外环控制器中;仿真和实验结果表明,相比传统的PI控制策略,该滑模控制策略具有更好的动态、稳态和鲁棒性能,中点电位调节能力也显著提高。
To solve the problem that the approaching speed of the traditional power reaching law is low when the system state is away from the sliding surface, this paper proposes a double closed-loop sliding mode control strategy based on a fuzzy power reaching law. Firstly, the fuzzy rules is established to adjust the power of the reaching law according to the system state, which ensures a high approaching speed when the system state is far away from and approaching the sliding surface. Besides, the generalized sliding mode condition and the boundness of arrival time are theoretically proved, which indicates that the proposed reaching law can make the system reach the reference value within a limited time. Then, the proposed power reaching law is applied to the closed loops of the Vienna rectifier, in which direct current control and output voltage control are adopted in the inner and outer loop respectively, and the voltage values of the upper and the lower capacitor are added as the input to the outer loop controller in order to improve the regulation capacity of the neutral-point potential. Finally, the simulation and experimental results show that the sliding mode control strategy has a better dynamic,steady-state and robust performance, and the adjustment capability of neutral-point potential is also significantly improved compared to the traditional PI control strategy.
To solve the problem that the approaching speed of the traditional power reaching law is low when the system state is away from the sliding surface, this paper proposes a double closed-loop sliding mode control strategy based on a fuzzy power reaching law. Firstly, the fuzzy rules is established to adjust the power of the reaching law according to the system state, which ensures a high approaching speed when the system state is far away from and approaching the sliding surface. Besides, the generalized sliding mode condition and the boundness of arrival time are theoretically proved, which indicates that the proposed reaching law can make the system reach the reference value within a limited time. Then, the proposed power reaching law is applied to the closed loops of the Vienna rectifier, in which direct current control and output voltage control are adopted in the inner and outer loop respectively, and the voltage values of the upper and the lower capacitor are added as the input to the outer loop controller in order to improve the regulation capacity of the neutral-point potential. Finally, the simulation and experimental results show that the sliding mode control strategy has a better dynamic,steady-state and robust performance, and the adjustment capability of neutral-point potential is also significantly improved compared to the traditional PI control strategy.
引文
[1]Ieee B E.Power electronics for more electric aircraft[C]//IEEE International Symposium on Industrial Electronics.IEEE,2010.
[2]J.-S.Lee,K.-B.Lee.Performance analysis of carrier-based discontinuous PWM method for Vienna rectifiers with neutral-point voltage balance[J].IEEETransactions on Power Electronics,201631(6):4075-4084.
[3]J.-S.Lee,K.-B.Lee.A novel carrier-based PWMmethod for Vienna rectifier with a variable power factor[J].IEEE Transactions on Industrial Electronics2016,63(1):3-12.
[4]J.-S.Lee,K.-B.Lee.Carrier-based discontinuous PWM method for Vienna rectifiers[J].IEEETransactions on Power Electronics,201530(6):2896-2900.
[5]D.Mukherjee,D.Kastha.Voltage sensorless control of the three-level three-switch Vienna rectifier with programmable input power factor[J].Power Electronics Iet,2015,8(8):1349-1357.
[6]L.Hang,M.Zhang,L.M.Tolbert,et al.Digitized Feedforward Compensation Method for High-Power-Density Three-Phase Vienna PFCConverter[J].IEEE Transactions on Industrial Electronics,2013,60(4):1512-1519.
[7]张晓华,郭源博,佟雷,等.三相PWM整流器的d SPACE实时仿真与控制器参数整定[J].电工技术学报,2013,28(2):219-224.
[8]J.H.Kim,S.T.Jou,D.K.Choi,et al.Direct Power Control of Three-Phase Boost Rectifiers by using a Sliding-Mode Scheme[J].Journal of Power Electronics,2013,13(6):1000-1007.
[9]Ma H,Xie Y,Shi Z.Improved direct power control for Vienna-type rectifiers based on sliding mode control[J].IET Power Electronics,20159(3):427-434.
[10]H.Ma,Y.Xie,B.Sun,et al.Modeling and Direct Power Control Method of Vienna Rectifiers Using the Sliding Mode Control Approach[J].Journal of Power Electronics,2015,15(1):190-201.
[11]高为炳.变结构控制的理论及设计方法[M].科学出版社,241-254,1995.
[12]Yu S,Yu X,Shirinzadeh B,et al.Continuous finite-time control for robotic manipulators with terminal sliding mode[J].Automatica,200541(11):1957-1964.
[2]J.-S.Lee,K.-B.Lee.Performance analysis of carrier-based discontinuous PWM method for Vienna rectifiers with neutral-point voltage balance[J].IEEETransactions on Power Electronics,201631(6):4075-4084.
[3]J.-S.Lee,K.-B.Lee.A novel carrier-based PWMmethod for Vienna rectifier with a variable power factor[J].IEEE Transactions on Industrial Electronics2016,63(1):3-12.
[4]J.-S.Lee,K.-B.Lee.Carrier-based discontinuous PWM method for Vienna rectifiers[J].IEEETransactions on Power Electronics,201530(6):2896-2900.
[5]D.Mukherjee,D.Kastha.Voltage sensorless control of the three-level three-switch Vienna rectifier with programmable input power factor[J].Power Electronics Iet,2015,8(8):1349-1357.
[6]L.Hang,M.Zhang,L.M.Tolbert,et al.Digitized Feedforward Compensation Method for High-Power-Density Three-Phase Vienna PFCConverter[J].IEEE Transactions on Industrial Electronics,2013,60(4):1512-1519.
[7]张晓华,郭源博,佟雷,等.三相PWM整流器的d SPACE实时仿真与控制器参数整定[J].电工技术学报,2013,28(2):219-224.
[8]J.H.Kim,S.T.Jou,D.K.Choi,et al.Direct Power Control of Three-Phase Boost Rectifiers by using a Sliding-Mode Scheme[J].Journal of Power Electronics,2013,13(6):1000-1007.
[9]Ma H,Xie Y,Shi Z.Improved direct power control for Vienna-type rectifiers based on sliding mode control[J].IET Power Electronics,20159(3):427-434.
[10]H.Ma,Y.Xie,B.Sun,et al.Modeling and Direct Power Control Method of Vienna Rectifiers Using the Sliding Mode Control Approach[J].Journal of Power Electronics,2015,15(1):190-201.
[11]高为炳.变结构控制的理论及设计方法[M].科学出版社,241-254,1995.
[12]Yu S,Yu X,Shirinzadeh B,et al.Continuous finite-time control for robotic manipulators with terminal sliding mode[J].Automatica,200541(11):1957-1964.