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| 摘要: |
| 应用奇异性理论研究了电力系统在周期性负荷扰动下的静态分岔现象。通过一系列的坐标变化和近恒等变换，将电力系统的动态方程简化成三阶规范形，从而得到系统的分岔方程。通过研究该分岔方程实数解的数目和稳定性随参数变化的情况，得到了参数平面上的转迁集和结构稳定的范围。研究结果表明，当系统阻尼和扰动幅值发生变化、对应的参数位于不同的区域时，它们的分岔曲线具有不同的形式，从而影响系统的结构稳定性。数值仿真结果印证了理论分析。 |
| 关键词: 静态分岔 规范形 分岔方程 奇异性理论 结构稳定性 |
| DOI： |
| 分类号:TM711 |
| 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 static bifurcation in electric power system based on normal form |
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ZHANG Qiang WANG Bao-hua
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| Abstract: |
| The static bifurcation in electric power system under periodical disturbance is studied with singularity theory.The dynamical equation s of the system are simplified to a3-order normal form with a series of coordinate and approximately identical transformations,and a bifurcation equa-tion is thus obtained.By analyzing the real root numbers of the equation and their stability varying with system parameters,a transition set on the plane of parameters and the area of structural sta-bility of the system are obtained.The result shows that,when the damp and disturbance amplitudes of system vary and the related parameters are located on different areas,the bifurcation curves of the system will be different ,which influences the structural stability.Digital simulations are consis-tent with the theoretical analyses. |
| Key words: static bifurcation,normal form,bifurcation equation,singularity theory,structural stability |
