基于G-范数和sum-范数的三相交流级联系统稳定性判据

发布时间：2018-04-05 21:42

本文选题：三相交流级联系统　切入点：稳定性判据　出处：《中国电机工程学报》2014年24期

【摘要】：在三相交流级联系统中,源模块以及负载模块之间的相互作用将导致整个系统性能下降,甚至有可能导致系统不稳定,尤其是在含有恒功率负载的系统中表现尤为明显。通过分析系统的小信号模型可以看出,模块之间由于相互耦合而产生的稳定性问题和子模块的端口阻抗以及导纳有着直接关系。因此,基于子模块端口阻抗以及导纳的稳定性判据是分析系统级稳定性问题的有效方法。目前,基于子模块阻抗以及导纳的稳定性判据已经广泛应用于直流系统。但是,由于交流系统和直流系统在系统特性上的内在差异,目前广泛应用于直流系统的稳定性判据无法直接使用于交流系统。根据交流系统的系统特性,提出一种基于端口阻抗以及导纳矩阵的G-范数和sum-范数的稳定性判据。且根据矩阵计算的特点,对所提出的稳定性判据做进一步改进,以减少判据的保守性。最终,将所提判据和现有的范数判据进行保守性的比较,可以看出,所提判据的保守性最小,更利于实际应用。
[Abstract]:In the three-phase AC cascade system, the interaction between the source module and the load module will lead to the degradation of the performance of the whole system, and it may even lead to the instability of the system, especially in the system with constant power load.By analyzing the small signal model of the system, it can be seen that the stability problem caused by the mutual coupling between the modules is directly related to the port impedance and admittance of the sub-modules.Therefore, the stability criterion based on submodule port impedance and admittance is an effective method for system level stability analysis.At present, the stability criterion based on submodule impedance and admittance has been widely used in DC system.However, due to the inherent differences between AC system and DC system, the stability criterion which is widely used in DC system can not be directly used in AC system.According to the characteristics of AC system, a stability criterion of G- norm and sum-norm based on port impedance and admittance matrix is proposed.According to the characteristics of matrix calculation, the proposed stability criterion is further improved to reduce the conservatism of the criterion.Finally, by comparing the proposed criterion with the existing norm criterion, it can be seen that the proposed criterion is the least conservative and is more suitable for practical application.
【作者单位】：电力设备电气绝缘国家重点实验室(西安交通大学);
【基金】：国家重点基础研究发展计划项目(973项目)(2009CB219705)~~
【分类号】：TM712

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