The Chaos Behavior of the Turbulent Cold Gas Flow in the High Voltage SF6 Circuit Breaker
Leng Xue1, 2, Liu Xiaoming1, Han Ying1, Cao Yundong1, Wang Erzhi1
1. School of Electrical Engineering Shenyang University of Technology Shenyang 110870 China; 2. Institute of Electric Power Shenyang Institute of Engineering Shenyang 110136 China
Abstract：The regulation of the gas flow movement with turbulence behavior in the transonic region of nozzle and the compressible flow in variable boundary gas flow path, is to improve the gas blowing efficiency, and to achieve the insulation and fast arc-quenching dielectric recovery for the SF6 circuit breaker in the breaking process. The gas movement is not simple laminar flow, but the coexistence of laminar and turbulent flow, and the continuous change vortex state also exists during the turbulent process, which result in the uncertainty of the gas flow. The research on the turbulence generation mechanism, development of the cold gas flow and the intrinsic properties of turbulence are the basis of the gas blowing regulation to the high voltage SF6 circuit breaker under large short circuit current. In this paper, 550kV single break high-voltage SF6 circuit breaker is taken as the research object. The chaotic behavior of turbulent cold gas flow is analyzed, where the finite volume method is used to simulate the turbulent gas flow, the chaos theory is used to quantitatively analyze the turbulence characteristics in the breaking process, and the C-C method and Wolf algorithm are used to calculate the largest Lyapunov exponent (LEmax).
冷雪, 刘晓明, 韩颖, 曹云东, 王尔智. 高压SF6断路器湍动冷气流混沌性行为[J]. 电工技术学报, 2016, 31(2): 64-69.
Leng Xue, Liu Xiaoming, Han Ying, Cao Yundong, Wang Erzhi. The Chaos Behavior of the Turbulent Cold Gas Flow in the High Voltage SF6 Circuit Breaker. Transactions of China Electrotechnical Society, 2016, 31(2): 64-69.
[1] 王尔智, 刘晓明, 曹云东. 考虑湍流影响的高压SF 6 断路器喷口优化设计[J]. 电工技术学报, 2009, 24(6): 30-34. Wang Erzhi, Liu Xiaoming, Cao Yundong. Optimi- zation design for arc nozzle of high voltage SF 6 circuit breaker considering turbulent influence[J]. Transactions of China Electrotechnical Society, 2009, 24(6): 30-34. [2] Potter M C, Wiggert D C. Mechanics of fluid[M]. 北京: 机械工业出版社, 2008. [3] 关盛楠. 激波和湍流对SF 6 断路器介质恢复特性影响的研究[D]. 沈阳: 沈阳工业大学, 2007. [4] Signe Hammer, 李裕清. 湍流之谜[J]. 世界科学, 1986(6): 8-9. Signe Hammer, Li Yuqing. Mystery of turbulence[J]. Word Science, 1986 (6): 8-9. [5] Bohr T, Jensen M H, Paladin G, et al. Dynamical systems approach to turbulence[M]. London: Cam- bridge University Press, 1998. [6] 胡隐樵, 陈晋北, 左洪超. 湍流强度定理和湍流发展的宏观机制[J]. 中国科学, 2007, 37(2): 272-281. Hu Yinqiao, Chen Jinbei, Zuo Hongchao. Turbulent intensity theorem and the macro mechanism development of the turbulent[J]. Science in China, 2007, 37(2): 272-281. [7] 刘式达. 孤波和湍流[M]. 上海: 上海科技教育出版社, 1994. [8] 关盛楠, 王尔智, 刘海峰, 等. SF 6 高压断路器喷口中的湍流及其对介质恢复特性的影响[J]. 中国电机工程学报, 2007, 27(36): 31-35. Guan Shengnan, Wang Erzhi, Liu Haifeng, et al. Turbulent flow and its influence on dielectric recovery property in arc nozzle of SF 6 high voltage circuit breaker[J]. Proceedings of the CSEE, 2007, 27(36): 31-35. [9] 张建, 张猛, 王军. 压气式SF 6 断路器中激波与湍流的相互作用对电弧特性影响的研究[C]//输变电年会, 2010: 10-15. Zhang Jian, Zhang Meng, Wang Jun. Shock wave- turbulence interactions of arcs in SF 6 puffer circuit breaker[C]//Transmission Annual Meeting, 2010: 10-15. [10] 刘晓明, 冷雪, 曹云东, 等. 550kV SF 6 断路器气流与电弧相互作用混沌研究[J]. 电工技术学报, 2012, 27(6): 46-52. Liu Xiaoming, Leng Xue, Cao Yundong, et al. Chaotic characteristic analysis of the interaction between arc and the gas flow of 550kV SF 6 circuit breaker[J]. Transactions of China Electrotechnical Society, 2012, 27(6): 46-52. [11] 刘晓明, 韩颖, 王尔智, 等. 基于多物理场耦合的高压SF 6 断路器混沌电弧模型[J]. 电工技术学报, 2013, 28(1): 165-172. Liu Xiaoming, Han Ying, Wang Erzhi, et al. Chaos of arc model for SF 6 circuit breaker based on coupled multiple-physical field simulation[J]. Transactions of China Electrotechnical Society, 2013, 28(1): 165-172. [12] Wissink J G. DNS of separating low Reynolds number flow in a turbine cascade with incoming wave[J]. International Journal of Heat and Fluid Flow, 2003, 24(4): 626-635. [13] 苏铭德, Friedrich R. 用大涡模拟检验湍流模型[J]. 应用数学和力学, 1994, 15(11): 991-997. Su Mingde, Friedrich R. The examination of tur- bulence modeling with LES database[J]. Applied Mathematics and Mechanics, 1994, 15(11): 991-997. [14] 李丞, 李晓锋, 苏雅璇, 等. 用于建筑绕流模拟的零方程模型[J]. 清华大学学报(自然科学版), 2013, 53(5): 589-594. Li Chen, Li Xiaofeng, Su Yaxuan, et al. Zero- equation turbulence model for outdoor airflow simu- lation[J]. Journal of Tsinghua University (Science and Technology), 2013, 53(5): 589-594. [15] 陶文铨. 数值传热学[M]. 西安: 西安交通大学出版社, 2001. [16] 曹云东. 高压SF 6 断路器介质恢复特性的计算与分析[D]. 沈阳: 沈阳工业大学, 2001. [17] 曹云东, 王尔智, 姜毅. 高压SF 6 断路器总变差减小方法流场求解研究[J]. 中国电机工程学报, 2001, 21(11): 19-23. Cao Yundong, Wang Erzhi, Jiang Yi. Investigation on flow filed computing of high voltage SF 6 circuit breaker using the total variation diminishing scheme[J]. Proceedings of the CSEE, 2001,21(11): 19-23. [18] Alan Wolf, Jack B Swift, Harry L Swinney, et al. Determining Lyapunov exponents from a time series[J]. Physical D: Nonlinear Phenomena, 1985, 16(3): 285-317. [19] John A. An exploration of chaos[M]. Amsterdam: North-Holland, 1994.
2016, Vol. 31 
