Abstract：In this paper, a small signal model of hysteretic current mode control with variable frequency and fixed hysteretic band is presented, based on three terminal switch cell of Buck converter in continuous current mode. This model reveals that the average current is the control target of hysteretic control. And phase lag of current loop with high switching frequency is quite small that makes current loop equivalent power stage be a proportional component. The conclusion is also valid in large signal analysis. Then an averaged linear model of a single phase inverter is derived. The system closed loop characteristic equation order is reduced due to hysteretic current control introduced. And compensation principles of the single phase inverter are investigated with Routh criteria, which make a good comprise between stability and stable/dynamic performance.
王建华, 张方华, 龚春英, 刘磊. 滞环电流控制逆变器建模及分析[J]. 电工技术学报, 2010, 25(6): 63-69.
Wang Jianhua, Zhang Fanghua, Gong Chunying, Liu Lei. Modeling and Analysis of Inverter With Hysteretic Current Control. Transactions of China Electrotechnical Society, 2010, 25(6): 63-69.
[1] Gallagher L E. Current regulator with ac and dc feedback: USA, 3 350 628[P]. 1967. [2] Kisun Lee. Advanced control schemes for voltage regulators[D]. USA: Virginia Polytechnic Institute and State University, 2007. [3] Vorperian V. Simplified analysis of PWM converters using the model of the PWM switch-part I: continuous conduction mode[J]. IEEE Trans. on Aerospace and Electronic Systems, 1990, 26(3): 490-496. [4] Suntio T, Lempien J, Hynynen K, et al. Analysis and small-signal modeling of self-oscillating converters with applied switching delay[C]. In Proc. IEEE APEC, Dallas USA, 2004: 395-401. [5] Irving B T, Panov Y, Jovanovic M M. Small-signal model of variable-frequency flyback converter[C]. In Proc. IEEE APEC, Miami Beach, FL, USA, 2003: 977-982. [6] Park J H, Cho B H. Small signal modeling of hysteretic current mode control using the PWM switch model[C]. In Proc. IEEE COMPEL Workshop, Troy, New York, USA, 2006: 225-230. [7] 李正兴. 6kVA单相中频逆变器的研制[D]. 南京: 南京航空航天大学, 2007. [8] Liu Jun. A novel hysteresis current controlled dual buck half bridge inverter[C]. In Proc. IEEE PESC, Acapulco, Mexico, 2003: 1615-1620. [9] 洪峰, 单任仲, 王慧贞, 等. 耦合电感三电平双降压式逆变器[J]. 电工技术学报, 2008, 23(11): 103-108. [10] 洪峰, 刘军. 滞环电流控制型双BUCK逆变器[J]. 电工技术学报, 2004, 19(8): 73-77. [11] Ridley R B. A new continuous-time model for current- mode control[J]. IEEE Tranasctions on Power Electronics, 1991, 6(2): 271-280. [12] Sun Jian, Choi B. Averaged modeling and switching instability prediction for peak-current control[C]. In Proc. IEEE APEC, Austin, Texas, USA, 2005: 2764-2770. [13] Guerrero J M, L Garcfa de Vicuna, Miret J, et al. Output impedance performance for parallel operation of UPS inverters using wireless and average current- sharing controllers[C]. In Proc. IEEE PESC, Aachen, Germany, 2004: 2482-2488. [14] 胡寿松. 自动控制原理[M]. 5版. 北京: 科技出版社, 2002.
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