摘要
同步发电机励磁系统由于受到物理结构的限制,励磁电压的输出含有饱和环节(限幅环节),其具有非线性特征。研究发电机励磁系统在计及饱和环节情况下多机系统吸引域的估计问题。采用凸优化方法解出n维椭球吸引域;通过算例分析验证该吸引域的有效性;利用矩阵的奇异值分解法获得正交基后,将n维椭球吸引域投影到正交基向量构成的子空间中,使得椭球吸引域可以用子空间上的3维投影近似描述;为获得多机系统吸引域的特性,在不同励磁顶值配置情况下,研究吸引域体积与励磁顶值、励磁顶值比例增益之间的关系。
Excitation system of synchronous generator contains saturation element for effect of practical actuator, which has characteristic of saturation nonlinearity. The problem of the estimation of region of attraction （RA） for excitation system in multi-machine system with saturation elements was studied. The convex optimization was applied to solve the problem of estimating the n-dimensional ellipsoidal RA of the system. Simulation tests demonstrate that the gained RA is effective. After forming an orth0gonal basis by using singular value decomposition, the projection of n-dimensional ellipsoidal RA onto given subspace is the sum of projections of the ellipsoid onto the individual basis vectors. The projection of ellipsoid onto given subspace can be figured in R3. In order to gain the characteristic of RA for multi-machine system, the relations between the excitation limit and the volume of ellipsoidal RA and among different product values under different configure of excitation limit are expressed by the curves.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2010年第31期57-62,共6页
Proceedings of the CSEE
基金
国家自然科学基金项目(50977009)~~
关键词
饱和非线性
吸引域
凸优化
励磁系统
saturation nonlinearity
region of attraction
convex optimization
excitation system
