1 Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education Department of Electrical Engineering, Shanghai Jiao Tong University 800 Dongchuan RD. Minhang District, Shanghai, 200240 China
With the continuous increase of output power ratings, multi-phase (multichannel) interleaved power factor corrector (IPFC) is gradually employed in domestic and commercial inverter air-conditioners. IPFC can solve several main problems, such as power rating increase, power device selection, input current ripple reduction as well as inductor on-board mounting. But for a multi-phase IPFC, the key problem is that it should show rapid dynamic responds and good current sharing capability, so in this paper the aim is to improve the dynamic performance and current sharing capability by means of passivity control theory. Considering the power circuit topology of a four-phase IPFC, an EL (Euler-Lagrange) mathematical model is established when the IPFC operates in continuous conduction mode (CCM). Then the passivity of the four-phase IPFC is proved, and the passivity-based controller using the state variables feedback and damping injection method is designed. The proposed control scheme, which is easy to control and needs no proportion integral controller, has strong robustness on disturbance from singlephase AC input voltage, the load as well as the parameters of the employed devices. Even in wide-range load condition, the mains current has a fast dynamic response and the average output voltage almost keep unchanged. As a result, the main functions of the four-phase IPFC are implemented including nearly unitary power factor and constant DC output voltage. Meanwhile, the four-phase IPFC acquires an excellent current sharing effect after using passivity-based controller. The above analysis has been proved with simulated results by means of MATLAB/SIMULINK and experimental results, showing that the passivity-based IPFC controller has superior performances and feasibility.
 Pinheiro J.R., Gründling H.A., Vidor D.L.R., Baggio J.E., Control strategy of an interleavedBOOST power factor correction converter [J]. Power Electronics Specialists Conference PESC 99, 30th Annual IEEE, pp. 137-142 (1999).
 Erickson R.W., Maksimovic D., Fundamentals of power electronics [M]. 2nd ed. New York: Springer Verlag (2000).
 Nussbaumer T., Kolar J.W., Design guidelines for Interleaved single-phase boost PFC circuits[J]. IEEE Trans. on Power Electronics 56(7): 2559-2573 (2009).
 Venkataramanan G., Divan D.M., Discrete time integral sliding mode control for discrete pulsemodulated converters. 21st Annual IEEE Power Electronics Specialists Conference, PESC’90 Record, pp: 67-73 (1990).
 Liu Jin-kun,Sun Fu-chun, Research and development on theory and algorithms of sliding modecontrol[J]. Control Theory and Applications 24(3): 407-418 (2007) (in Chinese).
 Zhang Li, Qiu Shui-sheng, Analysis and experimental study of sliding mode control inverter[J]. Proceedings of the CSEE 26(3): 59-63 (2006) (in Chinese).
 Wang Jiu-he, Li Hua-de, Wang Li-ming, Direct power control system of three phase boost typePWM rectifiers[J]. Proceedings of the CSEE 26(18): 54-60 (2006) (in Chinese).
 Qiao Shu-tong, Jiang Jian-guo, Output error passivity control of three-phase boost-type PWM rectifiers[J]. Transactions of China Electro-technical Society 22(2): 68-73 (2007) (in Chinese).
 Sira-Ramirez H., Perez-Moreno R.A., Otega R. et al., Passivity-based controllers for the stabilizationof DC to DC power converters [J]. Automatica 33(4): 499-513 (1997).
 Qiao Shu-tong, Wu Xiao-jie, Jiang Jian-guo, Application of Passivity-based Sliding Mode Controlin DC/ DC Converters [J]. Transactions of China Electro-technical Society 18(4): 41-45 (2003) (in Chinese).
 Wu Lei-tao, Yang Zhao-hua, Xu Bu-gong, Investigation of Passivity-Based Control of DC/DCConverter[J]. Transactions of China Electro-technical Society 19(4): 66-69 (2004) (in Chinese).
 Xue Hua, Jiang Jian-guo, Study on adaptive passivity-based control strategies of shunt active filters[J]. Proceedings of the CSEE 27(25): 114-118 (2007) (in Chinese).
 Zhang Zhen-huan, Liu Hui-jin, Li Qiong-lin et al., A novel passivity-based control algorithm forsingle-phase active power filter using Euler-Lagrange model[J]. Proceedings of the CSEE 28(9): 37-44 (2008) (in Chinese).
 Wang Jiu-he, Passivity-based control theory and its application [M]. Beijing: Publishing House of Electronics Industry (2010) (in Chinese).
 Olmos-López A., Guerrero G., Arau J., Passivity-based control for current sharing in PFC interleavedboost converters[J]. Applied Power Electronics Conference and Exposition (APEC), 2011 Twenty-Sixth Annual IEEE pp. 37-44 (2011).
 Rosa A.H.R., Junior S.I.S., MoraiS L.M.F., Passivity-based control of PFC boost converter withhigh-level programming[J]. Power Electronics Conference(COBEP), pp.: 801-806 (2011).
 Zhaohua Yang, Leitao Wu. A new passivity-based control method and simulation for DC/DC converter[J]. Intelligent Control and Automation, 2004. WCICA 2004, Fifth world Congress on 6: 5582-5585 (2004).
 Zuohua Xu, Jiuhe Wang, Pengfei Wang, Passivity-based control of induction motor based on eulerlagrange(EL) model with flexible damping[J]. Electrical Machines and Systems pp.: 48-52 (2008).
 Tzann-Shin Lee, Lagrangian modeling and passivity-based control of three-phase AC/DC voltagesourceconverters[J]. Industrial Electronics 51(4): 892-902 (2004).
 Sira-Ramirez H., Ortega R., Passivity-based controllers for the stabilization of DC-to-DC powerconverters[J]. Decision and Control, 1995, Proceedings of the 34th IEEE 4: 3471-3476 (1995).