Abstract：Based on the arc mathematical model for the SF6 circuit breaker (CB), the equations describing the arc chaotic behavior are deduced by considering the velocity and temperature effect in the model as the chaotic characteristics and expending in 2D form using the convergence of Fourier series. The time series and Lyapunov exponents diagram reflecting the chaotic behavior of arc are obtained based on the numerical analyses, which proves that the arc behavior exist chaos during the arc quenching. In order to reflect the interactions of the coupling of the electric field, magnetic field and gas flow field, the arc instability in SF6 CB was analyzed and the third-order nonlinear differential equations with constant coefficient for the arc in SF6 CB has been obtained by introducing Maxwell and current density equations in the arc mathematical model. By adjusting the parameters for SF6 CB, the system exhibits significant chaotic behavior.
刘晓明, 韩颖, 王尔智, 曹云东, 安跃军, 谢利军, 冷雪. 基于多物理场耦合的高压SF6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, Cao Yundong, An Yuejun, Xie Lijun, Leng Xue. Chaos of Arc Model for SF6 Circuit Breaker Based on Coupled Multiple-Physical Field Simulation. Transactions of China Electrotechnical Society, 2013, 28(1): 165-172.
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