Abstract
The memristor is a nonlinear device with a particular memory function and is widely used in various circuit researches. This work studies the peak current mode controlled (PCMC) buck converter with the memristive load at the continuous current mode (CCM). Firstly, a state equation for a buck converter with the memristive load is derived and a generic voltage-controlled memristor simulator is constructed by using a nonlinear function model; Secondly, facing the system chaos caused by changing bifurcation parameters, we introduce ramp compensation to stabilize the system at period-1. The chaos is effectively suppressed, this provides a guide for parameters choosing in buck converters with nonlinear loads in practical applications. The simulation is implemented by using MATLAB and PSIM.
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Chen, J., & Kang, Y. (2011). Power electronic-power electronic transform and control technique. Beijing: High Education Press.
Brown, M. (1990). Practical switching power supply design. Cambridge: Academic Press.
Ma, X. K., Li, M., Dai, D., Zhang, H., & Zou, J. L. (2006). Reviews of research on complex behavior of power electronic circuits and systems. Transactions of China Electrotechnical Society, 021(012), 1–11.
Brockett R.W., Wood J.R. (1984). Understanding power converterchaotic behavior mechanism in protective and abnormal modes. In Proceedings of 11th Annual International Power Electronics Conference, 14–15.
Tse, C. K., & Di Bernardo, M. (2002). Complex behavior in switching power converters. Proceedings of the IEEE, 90(5), 768–781.
Hu, W., Zhang, F. Y., Long, X. L., Chen, X. B., & Deng, W. T. (2014). Stability analysis and control of nonlinear behavior in V2 switching buck converter. Journal of Power Electronics, 14(6), 1208–1216.
Demirbas, S., Fidanboy, H., & Kurt, E. (2016). Exploration of the chaotic behaviour in a buck–boost converter depending on the converter and load elements. Journal of Electronic Materials, 45(8), 3889–3899.
Zhioua, M., El Aroudi, A., Belghith, S., Bosque-Moncusí, J. M., Giral, R., Al Hosani, K., & Al-Numay, M. (2016). Modeling, dynamics, bifurcation behavior and stability analysis of a DC–DC boost converter in photovoltaic systems. International Journal of Bifurcation and Chaos, 26(10), 1650166.
Tosaka, S., Yamanaka, T., Katayama, N., Hayase, M., Dowaki, K., & Kogoshi, S. (2014). Developing a new topology for the DC-DC converter used in fuel cell-electric double layer capacitor hybrid power source system for mobile devices. International Power Electronics Conference, 2014, 1207–1213.
Zhou, G. H., Xu, J. P., Bao, B. C., Wang, J. P., & Jin, Y. Y. (2011). Complex subharmonic oscillation phenomenon of peak current controlled buck converter with current source load. Acta Physica Sinica, 01, 51–58.
Strukov, D. B., Snider, G. S., Stewart, D. R., & Williams, R. S. (2008). The missing memristor found. Nature, 453(7191), 80–83.
Wang, R., Yang, J., Mao, J., Wang, Z., Wu, S., Zhou, M., et al. (2020). Recent advances of volatile memristors: devices, mechanisms, and applications. Advanced Intelligent Systems, 2(9), 2000055.
Wang, X. P., Shen, Y., Wu, J. S., & Sun, J. W. (2013). Review on memristor and its applications. Acta Automatica Sinica, 39(008), 1170–1184.
Chua, L. (2011). Resistance switching memories are memristors. Applied Physics A, 102, 765–783.
Valov, I., Linn, E., Tappertzhofen, S., Schmelzer, S., van den Hurk, J., Lentz, F., & Waser, R. (2013). Nanobatteries in redox-based resistive switches require extension of memristor theory. Nature Communications, 4(1), 1771.
Cha, J. H., Yang, S. Y., Oh, J., et al. (2020). Conductive- bridging random-access memories for emerging neuromorphic computing. Nanoscale, 12(27), 14339–14368.
Yao, P., Wu, H. Q., Gao, B., et al. (2020). Fully hardware- implemented memristor convolutional neural network. Nature, 577, 641–646.
Zhang, R. Y., Wu, A. G., Zhang, S. R., et al. (2018). Dynamical analysis and circuit implementation of a DC/DC single-stage boost converter with memristance load. Nonlinear Dynamics, 93, 1741–1755.
Bao, B., Zhang, X., Bao, H., Wu, P., Wu, Z., & Chen, M. (2019). Dynamical effects of memristive load on peak current mode buck-boost switching converter. Chaos, Solitons & Fractals, 122, 69–79.
Liu, W., Wang, F. Q., & Ma, X. K. (2016). Slow-scale instability in voltage-mode controlled H-Bridge inverter with memristive Load. International Journal of Bifurcation and Chaos, 26(12), 1650200–1651193.
Chua, L. (1971). Memristor-The missing circuit element. IEEE Transactions on Circuit Theory, 18(5), 507–519.
Adhikari, S. P., Sah, M., Kim, H., & Chua, L. (2013). Three fingerprints of memristor. IEEE Transactions on Circuits and Systems I, 60(11), 3008–3021.
Wang, D., Zhang, S., Gan, M., & Qiu, J. (2020). A novel EM identification method for Hammerstein systems with missing output data. IEEE Transactions on Industrial Informatics, 16, 2500–2508.
Wang, D., Li, L., Ji, Y., & Yan, Y. (2018). Model recovery for Hammerstein systems using the auxiliary model based orthogonal matching pursuit method. Applied Mathematical Modelling, 54, 537–550.
Wang, D., Yan, Y., Liu, Y., & Ding, J. (2019). Model recovery for Hammerstein systems using the hierarchical orthogonal matching pursuit method. Journal of Computational and Applied Mathematics, 345, 135–145.
Pal, I., Kumar, V., Aishwarya, N., Nayak, A., & Islam, A. (2020). A VDTA-based robust electronically tunable memristor emulator circuit. Analog Integrated Circuits and Signal Processing, 104, 47–59.
Muthuswamy, B. (2010). Implementing memristor based chaotic circuits. International Journal of Bifurcation and Chaos, 20(05), 1335–1350.
Chua, L. (2015). Everything You wish to know about memristors but are afraid to ask. Radio Engineering, 24(2), 319–368.
Chang, C. Y., Zhao, X., Yang, F., & Wu, C. E. (2016). Bifurcation and chaos in high-frequency peak current mode Buck converter. Chinese Physics B, 25(7), 070504.
Zamani, N., Ataei, M., & Niroomand, M. (2015). Analysis and control of chaotic behavior in boost converter by ramp compensation based on Lyapunov exponents assignment: theoretical and experimental investigation. Chaos, Solitons & Fractals, 81, 20–29.
He, L., Fang, Y., Li, J., & Xing, Y. (2006). Over current protection for peak current controlled DC-DC converter. Transactions of China Electrotechnical Society, 21(010), 86–89.
Zhou, Y., Wang, Y., Wang, K., Kang, L., Peng, F., Wang, L., & Pang, J. (2020). Hybrid genetic algorithm method for efficient and robust evaluation of remaining useful life of supercapacitors. Applied Energy, 260, 114169.
Zhou, Y., Huang, Y., Pang, J., & Wang, K. (2019). Remaining useful life prediction for supercapacitor based on long short-term memory neural network. Journal of Power Sources, 440, 227149.
Jiao, M., Wang, D. Q., & Qiu, J. L. (2020). A GRU-RNN based momentum optimized algorithm for SOC estimation. Journal of Power Sources, 459, 228051.
Li, W. Q., Yang, Y., Wang, D. Q., & Yin, S. Q. (2020). The multi- innovation extended Kalman filter algorithm for battery SOC estimation. Ionics. https://doi.org/10.1007/s11581-020-03716-0.
Wang, N., Zhang, G. S., Kuznetsov, N. V., & Bao, H. (2021). Hidden attractors and multistability in a modified Chua’s circuit. Communications in Nonlinear Science and Numerical Simulation, 92, 105494.
Wang, N., Zhang, G. S., & Bao, H. (2020). A Simple Autonomous Chaotic Circuit with Dead-Zone Nonlinearity. IEEE Transactions on Circuits and Systems II: Express Briefs. https://doi.org/10.1109/tcsii.2020.3005726.
Wang, N., Zhang, G. S., & Bao, H. (2020). Infinitely many coexisting conservative flows in a 4D conservative system inspired by LC circuit. Nonlinear Dynamics, 99, 3197–3216. https://doi.org/10.1007/s11071-020-05465-1.
Acknowledgements
This work was supported by the National Natural Science Foundation of China (No. 61873138), and in part by the Taishan Scholar Project Fund of Shandong Province of China.
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Zhu, B., Fan, Q., Li, G. et al. Chaos suppression for a Buck converter with the memristive load. Analog Integr Circ Sig Process 107, 309–318 (2021). https://doi.org/10.1007/s10470-021-01799-x
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DOI: https://doi.org/10.1007/s10470-021-01799-x