Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

doi:10.1088/1674-1056/27/12/128202

中国物理B ›› 2018, Vol. 27 ›› Issue (12): 128202-128202.doi: 10.1088/1674-1056/27/12/128202

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

Xiang Gao(高翔), Diyi Chen(陈帝伊), Hao Zhang(张浩), Beibei Xu(许贝贝), Xiangyu Wang(王翔宇)

1 Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A & F University, Yangling 712100, China;
2 Institute of Water Resources and Hydropower Research, Northwest A & F University, Yangling 712100, China;
3 Australasian Joint Research Centre for Building Information Modelling, School of Built Environment, Curtin University, WA 6102, Australia

收稿日期:2018-05-18 修回日期:2018-10-09 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: Diyi Chen E-mail:diyichen@nwsuaf.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China for Outstanding Youth (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University (Grant No. 2013BSJJ095), and the Science Fund for Excellent Young Scholars from Northwest A & F University and Shaanxi Nova Program, China (Grant No. 2016KJXX-55).

Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

Xiang Gao(高翔)^1,2, Diyi Chen(陈帝伊)^1,2,3, Hao Zhang(张浩)^1,2, Beibei Xu(许贝贝)^1,2, Xiangyu Wang(王翔宇)³

1 Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A & F University, Yangling 712100, China;
2 Institute of Water Resources and Hydropower Research, Northwest A & F University, Yangling 712100, China;
3 Australasian Joint Research Centre for Building Information Modelling, School of Built Environment, Curtin University, WA 6102, Australia

Received:2018-05-18 Revised:2018-10-09 Online:2018-12-05 Published:2018-12-05
Contact: Diyi Chen E-mail:diyichen@nwsuaf.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China for Outstanding Youth (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University (Grant No. 2013BSJJ095), and the Science Fund for Excellent Young Scholars from Northwest A & F University and Shaanxi Nova Program, China (Grant No. 2016KJXX-55).

摘要/Abstract

摘要：

Internal effects of the dynamic behaviors and nonlinear characteristics of a coupled fractional order hydropower generation system (HGS) are analyzed. A mathematical model of hydro-turbine governing system (HTGS) with rigid water hammer and hydro-turbine generator unit (HTGU) with fractional order damping forces are proposed. Based on Lagrange equations, a coupled fractional order HGS is established. Considering the dynamic transfer coefficient e is variational during the operation, introduced e as a periodic excitation into the HGS. The internal relationship of the dynamic behaviors between HTGS and HTGU is analyzed under different parameter values and fractional order. The results show obvious fast-slow dynamic behaviors in the HGS, causing corresponding vibration of the system, and some remarkable evolution phenomena take place with the changing of the periodic excitation parameter values.

关键词: fast-slow dynamics, fractional order, nonlinear dynamics, hydropower generation system

Abstract:

Key words: fast-slow dynamics, fractional order, nonlinear dynamics, hydropower generation system

中图分类号: (Oscillations, chaos, and bifurcations)

82.40.Bj

88.60.K- (Hydroturbines) 88.40.fc (Modeling and analysis)

高翔, 陈帝伊, 张浩, 许贝贝, 王翔宇. Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system[J]. 中国物理B, 2018, 27(12): 128202-128202.

Xiang Gao(高翔), Diyi Chen(陈帝伊), Hao Zhang(张浩), Beibei Xu(许贝贝), Xiangyu Wang(王翔宇). Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system[J]. Chin. Phys. B, 2018, 27(12): 128202-128202.

参考文献 28

[1]	Sarasúa J I, Pérez-Díaz J I, Wilhelmi J R and Á J 2015 Energy Conv. Manag. 106 151 doi: 10.1016/j.enconman.2015.09.030
[2]	Zeng Y, Zhang L X, Guo Y K, Qian J and Zhang C L 2014 Nonlinear Dyn. 76 1921 doi: 10.1007/s11071-014-1257-9
[3]	Zeng Y, Zhang L X, Guo Y K and Qian J 2015 Int. J. Control Autom 13 867 doi: 10.1007/s12555-013-0460-7
[4]	Joseph A, Desingu K, Semwal R R, Chelliah T R and Khare D 2017 IEEE T. Energy Conver. 33 430
[5]	Mesnage H, Alamir M, Perrissin-Fabert N and Alloin Q 2017 Eur. J. Ccontrol 34 24 doi: 10.1016/j.ejcon.2016.12.002
[6]	Moradi H, Alasty A and Vossoughi G 2013 Energy Conv. Manag. 68 105 doi: 10.1016/j.enconman.2012.12.027
[7]	Pico H V, Mccalley J D, Angel A, Leon R and Castrillon N J 2012 IEEE T. Power Syst. 27 1906 doi: 10.1109/TPWRS.2012.2187805
[8]	Michelsen F A, Wilhelmsen O Zhao L and Åsen K I 2013 Energy Conv. Manag. 67 160 doi: 10.1016/j.enconman.2012.11.001
[9]	Poirier M, Gagnon M, Tahan A, Coutu A and Chamberland-Lauzon J 2017 Mech. Syst. Signal Pr. 82 193 doi: 10.1016/j.ymssp.2016.05.018
[10]	Alexopoulos A and Weinberg G V 2014 Phys. Lett. A 378 2478 doi: 10.1016/j.physleta.2014.07.007
[11]	Li W, Zhang M T and Zhao J F 2017 Chin. Phys. B 26 090501 doi: 10.1088/1674-1056/26/9/090501
[12]	Bardeji S G, Figueiredo I N and Sousa E 2017 Appl. Num. Math. 114 188 doi: 10.1016/j.apnum.2016.04.011
[13]	Izsák F and Szekeres B J 2017 Appl. Math. Lett. 71 38 doi: 10.1016/j.aml.2017.03.006
[14]	Jothiprakash V, Arunkumar R 2013 Water Resour. Manag. 27 1963 doi: 10.1007/s11269-013-0265-8
[15]	Layek G C and Pati N C 2017 Phys. Lett. A 381 3568 doi: 10.1016/j.physleta.2017.09.020
[16]	Kumar S, Kumar D and Singh J 2016 Adv. Nonlinear Anal. 5 383
[17]	Andrew L Y T, Li X F, Chu Y D and Zhang H 2015 Chin. Phys. B 24 100520
[18]	Pahnehkolaei S M A, Alfi A and Machado J A T 2017 Commun. Nonlinear Sci. Num. Simul. 47 328 doi: 10.1016/j.cnsns.2016.11.013
[19]	Sakaguchi H and Okita T 2016 Phys. Rev. E 93 022212 doi: 10.1103/PhysRevE.93.022212
[20]	Ma J H and Ren W B 2016 Int. J. Bifur. Chaos 26 1650181 doi: 10.1142/S0218127416501819
[21]	Li H H, Chen D Y, Zhang H, Wang F F and Ba D D 2016 Mech. Syst. Signal Proc. 80 414 doi: 10.1016/j.ymssp.2016.04.006
[22]	Xu B B, Chen D Y, Tolo S, Patelli E and Jiang Y L 2018 Int. J. Elec. Power 95 156 doi: 10.1016/j.ijepes.2017.08.008
[23]	Si G Q, Diao L J, Zhu J W, Lei Y H and Zhang Y B 2017 Chin. Phys. B 26 060503 doi: 10.1088/1674-1056/26/6/060503
[24]	Li H H, Chen D Y, Xu B B, Tolo S and Patelli E 2017 Nonlinear Dyn. 90 535 doi: 10.1007/s11071-017-3679-7
[25]	Mandić P D, T B Š Lazarević M P and Bošković M 2017 ISA T. 67 76 doi: 10.1016/j.isatra.2016.11.013
[26]	Pay S S 2016 Chin. Phys. B 25 040204 doi: 10.1088/1674-1056/25/4/040204
[27]	Xu B B, Chen D Y, Zhang H and Zhou R 2015 Nonlinear Dyn. 81 1263 doi: 10.1007/s11071-015-2066-5
[28]	Xu B B, Chen D Y, Behrens P, Ye W, Guo P C and Luo X Q 2018 Energy Conv. Manag. 174 208 doi: 10.1016/j.enconman.2018.08.034

Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

Nonlinear fast-slow dynamics of a coupled fractional order hydropower generation system

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