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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.
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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 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 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 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 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 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 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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