2021, Volume 7, Issue 12
Engineering >> 2021, Volume 7, Issue 12 doi: 10.1016/j.eng.2021.07.011
A Numerical Convex Lens for the State-Discretized Modeling and Simulation of Megawatt Power Electronics Systems as Generalized Hybrid Systems
Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China
Next Previous
Abstract
Modeling and simulation have emerged as an indispensable approach to create numerical experiment platforms and study engineering systems. However, the increasingly complicated systems that engineers face today dramatically challenge state-of-the-art modeling and simulation approaches. Such complicated systems, which are composed of not only continuous states but also discrete events, and which contain complex dynamics across multiple timescales, are defined as generalized hybrid systems (GHSs) in this paper. As a representative GHS, megawatt power electronics (MPE) systems have been largely integrated into the modern power grid, but MPE simulation remains a bottleneck due to its unacceptable time cost and poor convergence. To address this challenge, this paper proposes the numerical convex lens approach to achieve state-discretized modeling and simulation of GHSs. This approach transforms conventional time-discretized passive simulations designed for pure-continuous systems into state-discretized selective simulations designed for GHSs. When this approach was applied to a largescale MPE-based renewable energy system, a 1000-fold increase in simulation speed was achieved, in comparison with existing software. Furthermore, the proposed approach uniquely enables the switching transient simulation of a largescale megawatt system with high accuracy, compared with experimental results, and with no convergence concerns. The numerical convex lens approach leads to the highly efficient simulation of intricate GHSs across multiple timescales, and thus significantly extends engineers’ capability to study systems with numerical experiments.
Keywords
Generalized hybrid systems ; Megawatt power electronics ; Modeling and simulation ; Numerical convex lens
Figures
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
References
[ 1 ] Song Y, Wei M, Xu F, Wang Y. Molecular simulations of water transport resistance in polyamide RO membranes: interfacial and interior contributions. Engineering 2020;6(5):577–84. link1
[ 2 ] Hu H, Zhong Z. Explicit–implicit co-simulation techniques for dynamic responses of a passenger car on arbitrary road surfaces. Engineering 2019;5 (6):1171–8. link1
[ 3 ] Yuan Y, Tang X, Zhou W, Pan W, Li X, Zhang H, et al. Data driven discovery of cyber physical systems. Nat Commun 2019;10(1):4894. link1
[ 4 ] Decarlo RA, Branicky MS, Pettersson S, Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proc IEEE 2000;88 (7):1069–82. link1
[ 5 ] Soroye P, Newbold T, Kerr J. Climate change contributes to widespread declines among bumble bees across continents. Science 2020;367(6478):685–8. link1
[ 6 ] Pecl GT, Araújo MB, Bell JD, Blanchard J, Bonebrake TC, Chen IC, et al. Biodiversity redistribution under climate change: Impacts on ecosystems and human well-being. Science 2017;355(6332):eaai9214. link1
[ 7 ] Kraemer MUG, Yang CH, Gutierrez B, Wu CH, Klein B, Pigott DM, et al. The effect of human mobility and control measures on the COVID-19 epidemic in China. Science 2020;368(6490):493–7. link1
[ 8 ] Kissler SM, Tedijanto C, Goldstein E, Grad YH, Lipsitch M. Projecting the transmission dynamics of SARS-CoV-2 through the postpandemic period. Science 2020;368(6493):860–8. link1
[ 9 ] Engell S, Kowalewski S, Schulz C, Stursberg O. Continuous-discrete interactions in chemical processing plants. Proc IEEE 2000;88(7):1050–68. link1
[10] Brandao M, Hashimoto K, Santos-Victor J, Takanishi A. Footstep planning for slippery and slanted terrain using human-inspired models. IEEE Trans Robot 2016;32(4):868–79. link1
[11] Tan D. Emerging system applications and technological trends in power electronics: power electronics is increasingly cutting across traditional boundaries. IEEE Power Electron Mag 2015;2(2):38–47. link1
[12] Nie J, Yuan L, Wen W, Duan R, Shi B, Zhao Z. Communication-independent power balance control for solid state transformer interfaced multiple power conversion systems. IEEE Trans Power Electron 2020;35(4):4256–71. link1
[13] Zhao Z, Yuan L, Bai H, Lu T, editors. Electromagnetic transients of power electronics systems. Singapore: Springer Singapore; 2019. link1
[14] Levis A. Challenges to control: a collective view–report of the workshop held at the University of Santa Clara on September 18–19, 1986. IEEE Trans Automat Control 1987;32(4):275–85. link1
[15] Antsaklis PJ. Special issue on hybrid systems: theory and applications a brief introduction to the theory and applications of hybrid systems. Proc IEEE 2000;88(7):879–87. link1
[16] Balluchi A, Benvenuti L, di Benedetto MD, Pinello C, Sangiovanni-Vincentelli AL. Automotive engine control and hybrid systems: challenges and opportunities. Proc IEEE 2000;88(7):888–912. link1
[17] Derler P, Lee EA, Sangiovanni-Vincentelli A. Modeling cyber–physical systems. Proc IEEE 2012;100(1):13–28. link1
[18] Neal CA, Brantley SR, Antolik L, Babb JL, Burgess M, Calles K, et al. The 2018 rift eruption and summit collapse of Kılauea Volcano. Science 2019;363 (6425):367–74. link1
[19] Zhao Z, Tan D, Li K. Transient behaviors of multiscale megawatt power electronics systems—Part I: characteristics and analysis. IEEE J Emerg Sel Top Power Electron 2019;7(1):7–17. link1
[20] Shi B, Zhao Z, Zhu Y. Piecewise analytical transient model for power switching device commutation unit. IEEE Trans Power Electron 2019;34(6):5720–36. link1
[21] Zhao Z, Tan D, Li K, Yuan L. Transient behaviors of multiscale megawatt power electronics systems—Part II: design techniques and practical applications. IEEE J Emerg Sel Top Power Electron 2019;7(1):18–29. link1
[22] Hairer E, Nørsett SP, Wanner G. Solving ordinary differential equations. 2nd ed. Heidelberg: Springer; 2009. link1
[23] Middlebrook RD. Small-signal modeling of pulse-width modulated switchedmode power converters. Proc IEEE 1988;76(4):343–54. link1
[24] Wester GW, Ieee Middlebrook MR, Member S. Low-frequency characterization of switched dc–dc converters. In: the Third IEEE Power Processing and Electronic Specialists Conference; 1972 May 22–23; Atlantic City, NJ, USA. New York: IEEE; 1973.
[25] Sreekumar C, Agarwal V. A hybrid control algorithm for voltage regulation in DC–DC boost converter. IEEE Trans Ind Electron 2008;55(6):2530–8. link1
[26] Alimeling JH, Hammer WP. PLECS-piece-wise linear electrical circuit simulation for Simulink. In: Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems; 1999 Jul 27–29; Hong Kong, China. New York: IEEE; 2019. p. 355–60.
[27] Massarini A, Reggiani U, Kazimierczuk MK. Analysis of networks with ideal switches by state equations. IEEE Trans Circ Syst I Fundam Theory Appl 1997;44(8):692–7. link1
[28] Hefner AR. Analytical modeling of device-circuit interactions for the power insulated gate bipolar transistor (IGBT). IEEE Trans Ind Appl 1990;26 (6):995–1005. link1
[29] Zhao X, Li H, Wang Y, Zhou Z, Sun K, Zhao ZA, et al. A temperature-dependent PSpice short-circuit model of SiC MOSFET. In: 2019 IEEE Workshop on Wide Bandgap Power Devices and Applications in Asia (WiPDA Asia); 2019 May 23– 25; Taipei, China. New York: IEEE; 2019. p. 1–5. link1
[30] Liu T, Ning R, Wong TTY, Shen ZJ. Equivalent circuit models and model validation of SiC MOSFET oscillation phenomenon. In: 2016 IEEE Energy Conversion Congress and Exposition (ECCE); 2016 Sep 18–22; Milwaukee, WI, USA. New York: IEEE; 2002. p. 1–8. link1
[31] Leigh JR. Control theory: a guided tour. 2nd ed. Stevenage: The Institution of Engineering and Technology; 2004. link1
[32] Li H, Zhao X, Sun K, Zhao Z, Cao G, Zheng TQ. A non-segmented pspice model of SiC mosfet with temperature-dependent parameters. IEEE Trans Power Electron 2019;34(5):4603–12. link1
[33] Perez MA, Bernet S, Rodriguez J, Kouro S, Lizana R. Circuit topologies, modeling, control schemes, and applications of modular multilevel converters. IEEE Trans Power Electron 2015;30(1):4–17. link1
[34] Li K, Wen W, Zhao Z, Yuan L, Cai W, Mo X, et al. Design and implementation of four-port megawatt-level high-frequency-bus based power electronic transformer. IEEE Trans Power Electron 2021;36(6):6429–42. link1
[35] Zhu Y, Zhao Z, Shi B, Ju J, Yu Z, Yuan L, et al. Discrete state event-driven framework for simulation of switching transients in power electronic systems. In: 2019 IEEE Energy Conversion Congress and Exposition (ECCE); 2019 Sep 29–Oct 3; Baltimore, MD, USA. New York: IEEE; 2019. p. 895–900. link1
[36] Gnanarathna UN, Gole AM, Jayasinghe RP. Efficient modeling of modular multilevel HVDC converters (MMC) on electromagnetic transient simulation programs. IEEE Trans Power Deliv 2011;26(1):316–24. link1
[37] Shampine LF, Gladwell I, Thompson S, editors. Solving ODEs with MATLAB. Cambridge: University Press; 2003. link1
[38] van der Schaft AJ, Schumacher JM. An introduction to hybrid dynamical systems. London: Springer; 2000. link1
[39] Zhu Y, Zhao Z, Shi B, Yu Z. Discrete state event-driven framework with a flexible adaptive algorithm for simulation of power electronic systems. IEEE Trans Power Electron 2019;34(12):11692–705. link1
[40] Shi B, Zhao ZM, Zhu Y, Yu Z, Ju J. Discrete state event-driven simulation approach with a state-variable-interfaced decoupling strategy for large-scale power electronics systems. IEEE Trans Ind Electron 2021;68(12):11673–83. link1
[41] Kojabadi HM. A comparative analysis of different pulse width modulation methods for low cost induction motor drives. Energy Convers Manage 2011;52 (1):136–46. link1
[42] Wei S, Zhao Z, Yuan L, Wen W, Chen K. Voltage oscillation suppression for the high-frequency bus in modular-multi-active-bridge converter. IEEE Trans Power Electron 2021;36(9):9737–42. link1
[43] Shi B, Zhao Z, Tan D, Zhu Y. Integral control of megawatt power electronic systems as generalized hybrid systems. IEEE J EM SEL TOP P. In press.
京公网安备 11010502051620号
