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中文摘要：
在励磁控制系统非线性模型中考虑发电机随机扭振对励磁调节动态过程的影响，建立一类励磁控制系统的随机模型，即伊藤型随机非线性励磁控制模型，由此探讨励磁控制系统在随机扰动下暂态稳定性的数值分析问题。基于蒙特卡罗原理和非线性系统数值解方法，提出随机励磁控制系统暂态稳定性的数值算法和流程，包括了随机扰动模拟、系统模型求解的数值方法、稳定概率以及解过程的均值等计算公式。最后，以随机励磁控制系统的数值仿真结果分析发电机随机扭振对励磁控制性能的影响，验证了所提出的分析算法的正确性和有效性。
英文摘要：
Considering the nonlinear effects of randomized torsional oscillation on the excitation regulation dynamic process of a generator rotor, an It6-type stochastic nonlinear model was proposed in the excitation control system （ECS）. Based on this model, problems on numeric analysis of transient stabifity of ECS with stochastic disturbance were explored in details. By exploiting Monte-Carlo principle and numerical methods for solving nonlinear systems, the algorithms and workflow of the proposed ECS＇s transient stability analysis approach was presented. The workflow involved the simulation of stochastic disturbance, numeric solutions of the system model, formulas of stability probability and mean curve of the solutions. Finally, according to the numerical results, it is discussed how the ECS＇ performance is impacted hy torsional oscillation of the generator＇s rotator. The results verify the validity of the presented algorithms in the paper.
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