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On the bifurcations of subharmonic oscillations in nonlinear three-phase circuit

机译:非线性三相电路中次谐波振荡的分支

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This paper describes the bifurcation phenomena in a nonlinear three-phase circuit. The circuit consists of delta-connected nonlinear inductors, capacitors, resistors and balanced voltage sources. A particular attention is paid to the breaking of symmetry with respect to the subharmonic oscillations of order 1/3. For some parameters the circuit works as if it were a single phase circuit. The subharmonic oscillations in the three-phase circuit and single phase circuit are compared from the point of view of bifurcation. A homotopy method is used to find the bifurcation points. Furthermore, real experimental results are compared with analytical ones.
机译:本文描述了非线性三相电路中的分叉现象。该电路由三角形连接的非线性电感器,电容器,电阻器和平衡电压源组成。特别要注意的是,相对于次谐波振荡,对称性的破坏程度为1/3。对于某些参数,该电路就像单相电路一样工作。从分叉的角度比较了三相电路和单相电路中的次谐波振荡。同伦方法用于找到分叉点。此外,将实际实验结果与分析结果进行了比较。

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