基于Routh判据的自激感应发电机空载建压分析  

Analysis of No-Load Voltage Build-up for Self-Excited Induction Generator Based on Routh Criterion

作　　者：李嘉[1] 吴新振[1] 王海峰[1] 于玲玲 Li Jia;Wu Xinzhen;Wang Haifeng(Automation and Electrical Engineering College Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学自动化与电气工程学院,青岛266071 [2]不详

出　　处：《电工技术学报》2018年第7期1523-1530,共8页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金项目资助(51377086,51677092)。

摘　　要：针对自激感应发电机(SEIG)独立系统,采用判别系统稳定性的Routh判据进行空载建压分析。基于两相静止坐标系下SEIG暂态等效电路,写出系统的状态方程,得到状态矩阵的特征多项式。依据Routh稳定性判据,列出SEIG的递推Routh表,计算出了SEIG空载建压的临界最小电容值与最大电容值,样机实验数据验证了计算结果的准确性。该文首次将Routh判据应用于SEIG的稳定性分析,以SEIG的空载建压过程为例,说明了所用方法的有效性。基于Routh判据的稳定性分析方法理论清晰,编程简单,易于实现。所得结论为Routh稳定性判据进一步用于分析SEIG系统奠定了基础。In view of the isolated self-excited induction generator(SEIG)system,the Routh criterion for system stability is used to analyse no-load voltage build-up performance.The state equations of SEIG are established based on the transient equivalent circuits under static reference frame,from which the characteristic polynomial of the state matrix is obtained.The recursive Routh table of SEIG is given according to Routh stability criterion,and the critical minimum capacitance and maximum capacitance under no-load voltage build-up of SEIG are calculated.The calculated results of SEIG prototype are verified to be accurate and effective by comparing with the experimental ones.The method with Routh criterion for stability analysis of SEIG is firstly proposed in the paper and its effectiveness is illustrated in voltage build-up process.The Routh criterion stability analysis method is clear in theory,simple in programming and easy to implement.The conclusions achieved lay a foundation for further application of Routh stability criterion in SEIG analysis.

关 键 词：自激感应发电机 Routh 判据 稳定性分析 临界最小建压电容 临界最大建压电容 

分 类 号：TM343[电气工程—电机]