RESEARCH ON FRACTIONAL MODELING AND CONTROLLER DESIGN OF THREE-PHASE INVERTER GRID-CONNECTED SYSTEM

Li Xiaocong; Hou Liliang; Luo Xueli; Xu Junhua

doi:10.19912/j.0254-0096.tynxb.2021-1187

PDF(4564 KB)

Acta Energiae Solaris Sinica ›› 2023, Vol. 44 ›› Issue (3) : 415-424. DOI: 10.19912/j.0254-0096.tynxb.2021-1187

RESEARCH ON FRACTIONAL MODELING AND CONTROLLER DESIGN OF THREE-PHASE INVERTER GRID-CONNECTED SYSTEM

Li Xiaocong^1,2, Hou Liliang¹, Luo Xueli¹, Xu Junhua¹

Author information +

History +

Abstract

This paper firstly analyzes and discusses the basic characteristics of the fractional reactance element, and builds a simulation module of the fractional reactance element on the Matlab/Simscape platform to realize the device-level simulation of the fractional-order photovoltaic inverter system. Secondly, the fractional-order high-frequency mathematical model of the three-phase photovoltaic grid-connected inverter is established, the decoupling control structure of the fractional-order current inner loop is deduced, and a fractional-order controller is introduced to establish a fractional-order photovoltaic grid-connected double closed-loop control system. The simulation results show that the built fractional reactance element simulation module can accurately simulate the external characteristics of the fractional reactance element in the selected frequency range, the fractional-order photovoltaic three-phase inverter has better dynamic and static characteristics, and the fractional-order photovoltaic double closed-loop control effect is obviously better than integer-order double closed-loop control.

Key words

electric inverters / PV grid connection / fractional calculus / PI^λ / decoupling control

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Li Xiaocong, Hou Liliang, Luo Xueli, Xu Junhua. RESEARCH ON FRACTIONAL MODELING AND CONTROLLER DESIGN OF THREE-PHASE INVERTER GRID-CONNECTED SYSTEM[J]. Acta Energiae Solaris Sinica. 2023, 44(3): 415-424 https://doi.org/10.19912/j.0254-0096.tynxb.2021-1187

References

[1] FREEBORN T J, MAUNDY B, ELWAKIL A S.Measurement of supercapacitor fractional-order model parameters from voltage-excited step response[J]. IEEE journal on emerging and selected topics in circuits and systems, 2013, 3(3): 367-376.
[2] JONSCHER A K.Dielectric relaxation in solids[J]. Journal of physics D: applied physics, 1999, 32(14): R57.
[3] 孙会明, 陈薇, 孙龙杰, 等. Buck变换器的分数阶仿真模型与混沌分析[J]. 现代电子技术, 2014, 37(24): 154-159, 162.
SUN H M,CHEN W,SUN L J,et al.Fractional order simulation model and chaos analysis of Buck converter[J]. Modern electronics technique, 2014, 37(24): 154-159,162.
[4] WEI Z H, ZHANG B, JIANG Y W.Analysis and modeling of fractional-order buck converter based on Riemann-Liouville derivative[J]. IEEE access, 2019, 7: 162768-162777.
[5] 王发强, 马西奎. 电感电流连续模式下Boost变换器的分数阶建模与仿真分析[J]. 物理学报, 2011, 60(7): 89-96.
WANG F Q,MA X K.Fractional order modeling and simulation analysis of Boost converter in continuous conduction mode operation[J]. Acta physica sinica, 2011, 60(7): 89-96.
[6] 柴秀慧, 曹晗, 张波, 等. Boost变换器全分数阶化系统分析与控制性能研究[J]. 电源学报, 2019, 17(6): 27-33.
CHAI X H, CAO H, ZHANG B, et al.Research on analysis and control performance of full fractional-order Boost converter system[J]. Journal of power supply, 2019, 17(6): 27-33.
[7] 王发强, 马西奎. 基于分数阶微积分的电感电流断续模式下Boost变换器的建模与分析[J]. 中国科学: 技术科学, 2013, 43(4): 368-374.
WANG F Q, MA X K.Modeling and analysis of Boost converter in discontinuous mode of inductor current based on fractional calculus[J]. Scientia sinica:technologica, 2013, 43(4): 368-374.
[8] 胡旭旭, 范秋华. Buck-Boost变换器断续模式下的分数阶建模与分析[J]. 现代电子技术, 2020, 43(24): 126-130, 134.
HU X X, FAN Q H.Fractional-order modeling and analysis of Buck-Boost converter in disdiscontinuous conduction mode[J]. Modern electronics technique, 2020, 43(24): 126-130, 134.
[9] WU C J, SI G Q, ZHANG Y B, et al.The fractional-order state-space averaging modeling of the Buck-Boost DC/DC converter in discontinuous conduction mode and the performance analysis[J]. Nonlinear dynamics, 2015, 79(1): 689-703.
[10] ZHU P F, WEI Y F, ZHENG Z, et al.Fractional modelling and simulation for single-phase PWM rectifier[J]. The journal of engineering,2019, 2019(16): 1675-1678.
[11] XU J H, LI X C, MENG X R, et al.Modeling and analysis of a single-phase fractional-order voltage source pulse width modulation rectifier[J]. Journal of power sources, 2020, 479: 228821.
[12] XU J H, LI X C, LIU H, et al.Fractional-order modeling and analysis of a three-phase voltage source PWM rectifier[J]. IEEE access, 2020, 8: 13507-13515.
[13] 党选举, 李晶晶, 姜辉, 等. 基于分数阶微分补偿算法的光伏系统MPPT研究[J]. 太阳能学报, 2015, 36(9): 2117-2123.
DANG X J, LI J J, JIANG H, et al.Research on MPPT of photovoltaic system based on fractional differential compensation algorithm[J]. Acta energiae solaris sinica, 2015, 36(9): 2117-2123.
[14] 宋平岗, 杨声弟. 光伏阵列多峰特性情况下的最大功率点跟踪策略[J]. 太阳能学报, 2020, 41(10): 144-150.
SONG P G, YANG S D.Maximum power point tracking strategy of PV array with multi-peak characteristics[J]. Acta energiae solaris sinica, 2020, 41(10): 144-150.
[15] MONJE C A, CHEN Y Q, VINAGRE B M, et al.Fractional-order systems and controls: fundamentals and applications[M]. Berlin: Springer Science & Business Media, 2010.
[16] DAS S.Functional fractional calculus[M]. Berlin: Springer Science & Business Media, 2011.
[17] 张兴. PWM整流器及其控制[M]. 北京: 机械工业出版社, 2012: 99-106.
ZHANG X.PWM rectifier and its control[M]. Beijing:China Machine Press, 2012: 99-106.
[18] 薛定宇. 分数阶微积分学与分数阶控制[M]. 北京:科学出版社, 2018: 260-268.
XUE D.Fractional calculus and fractional-order control[M]. Beijing: Science Press, 2018: 260-268.