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考虑数字控制采样计算延迟,建立了单相全桥DC-AC电压型逆变电路在负载电压外环电感电流内环加给定电压前馈控制方法下的离散迭代模型.通过分析相应的Jacobian矩阵特征值轨迹,确定该数字控制逆变器失稳时分岔点类型为Hopf分岔.对离散迭代模型进行数学变换,得出了控制器边界的解析表达式以及系统发生分岔时振荡频率的解析表达式,从而揭示了系统发生振荡现象的内在物理机理.最后,通过Simulink仿真以及电路实验证明了理论分析的正确性和有效性.
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关键词:
- 单相全桥 /
- DC/AC电压逆变电路 /
- 数字控制 /
- 离散迭代模型
The discrete-time iterative map of digitally controlled DC-AC H-bridge inverter with outer load-voltage loop and inter inductance-current loop plus voltage-reference feedforward loop is derived by considering the effect of the time delay problems inherent in digital control system. The type of the bifurcation point when the system loses stability is predicted in terms of the eigenvalues of the Jacobian matrix,and it is found that the type is of the Hopf bifurcation. The analytic expressions of the stability boundaries and the oscillation frequency are deduced, and the underlying mechanism of this nonlinear phenomenon is analyzed. Finally, the theoretical results are verified by simulations and circuit experiments.-
Keywords:
- H-bridge /
- DC-AC inverters /
- digital control /
- discrete-time iterative map
[1] Miao B, Zane R, Maksimovic D 2005 IEEE Trans. Power Electron. 20 1093
[2] Liu Y F, Sen P C 2005 Proceedings of the 2005 IEEE Conference on Control Applications Toronto, Canada, August 28—31, 2005 p635
[3] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[4] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I50 1125
[5] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurcation and Chaos 16 113
[6] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[7] Wang X M, Zhang B, Qiu D Y 2009 Acta Phys. Sin. 58 2248 (in Chinese) [王学梅、张 波、丘东元 2009 物理学报 58 2248]
[8] Hyosung K, Seung-Ki S 2005 IEEE Trans. Power Electron. 20 1169
[9] Escobar G, Valdez A A 2003 IEEE Trans. Ind. Electron. 54 504
[10] Wang F Q, Zhang H, M X K 2008 Acta Phys. Sin. 57 1522 (in Chinese) [王发强、张 浩、马西奎 2008 物理学报 57 1522]
[11] Zhang X T, Ma X K, Zhang H 2008 Acta Phys. Sin. 57 6174 (in Chinese) [张笑天、马西奎、张 浩 2008 物理学报 57 6174]
[12] Tse C 2003 Complex Behavior in Switching Power Converters (Boca Raton,CRC) p59
[13] Fan S J 1989 Natural Science Journal of Hainan Teachers College 2 91(in Chinese) [范盛金 1989 海南师范学院学报(自然科学版)2 91]
[14] Mazumder S K, Nayfeh A, Boroyevich D 2001 IEEE Trans. Power Electron. 16 201
[15] Liu S H, Tang J S, Qin J Q, Yin X B 2008 Chin. Phys. B 17 1691
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[1] Miao B, Zane R, Maksimovic D 2005 IEEE Trans. Power Electron. 20 1093
[2] Liu Y F, Sen P C 2005 Proceedings of the 2005 IEEE Conference on Control Applications Toronto, Canada, August 28—31, 2005 p635
[3] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[4] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I50 1125
[5] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurcation and Chaos 16 113
[6] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[7] Wang X M, Zhang B, Qiu D Y 2009 Acta Phys. Sin. 58 2248 (in Chinese) [王学梅、张 波、丘东元 2009 物理学报 58 2248]
[8] Hyosung K, Seung-Ki S 2005 IEEE Trans. Power Electron. 20 1169
[9] Escobar G, Valdez A A 2003 IEEE Trans. Ind. Electron. 54 504
[10] Wang F Q, Zhang H, M X K 2008 Acta Phys. Sin. 57 1522 (in Chinese) [王发强、张 浩、马西奎 2008 物理学报 57 1522]
[11] Zhang X T, Ma X K, Zhang H 2008 Acta Phys. Sin. 57 6174 (in Chinese) [张笑天、马西奎、张 浩 2008 物理学报 57 6174]
[12] Tse C 2003 Complex Behavior in Switching Power Converters (Boca Raton,CRC) p59
[13] Fan S J 1989 Natural Science Journal of Hainan Teachers College 2 91(in Chinese) [范盛金 1989 海南师范学院学报(自然科学版)2 91]
[14] Mazumder S K, Nayfeh A, Boroyevich D 2001 IEEE Trans. Power Electron. 16 201
[15] Liu S H, Tang J S, Qin J Q, Yin X B 2008 Chin. Phys. B 17 1691
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