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| 摘要: |
| 电力系统中倍周期分岔PDB(Period Doubling Bifurcation)和混沌现象将影响系统安全稳定运行。针对受到周期性负荷扰动的电力系统，利用PDB产生的条件和广义牛顿法，得到受扰电力系统在其物理参数平面上PDB转迁集的解析表达式和PDB存在区域，并且分析了这些参数变化对转迁集的影响．为预测电力系统PDB和混沌的出现提供了理论依据。 |
| 关键词: 倍周期分岔 混沌 非线性频率 广义牛顿法 转迁集 |
| DOI： |
| 分类号:TM712 |
| 基金项目:江苏省高校自然科学研究计划项目(03KJB470035) |
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| Analysis of period doubling bifurcation in power system |
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ZHANG Qiang WANG Bao-hua YANG Cheng-wu
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| Abstract: |
| The PDB(Period Doubling Bifurcation) and chaos phenomenon may threaten the security and stability of electric power system. The PDB occurrence conditions and the general Newton method are applied to a power system disturbed by a periodic load to obtain the analytic expression of PDB transition boundary and the area of PDB on the plane of the system physical parameters. The influence of the variation of parameters on the transition boundary is analyzed. The results support a theoretical basis of preventing the system from PDB and chaos. |
| Key words: period doubling bifurcation,chaos,nonlinear frequency,general Newton method,transition boundary |
