中文摘要：

研究了考虑发电和负荷不确定性的电力系统小干扰稳定问题，建立了区间不确定信息下求解振荡模式阻尼比上下限值的非线性优化模型。提出将篷续线性规划法作为求解该问题的优化方法，通过计算可得到运行状态在给定区间内变化时振荡模式阻尼比的区间分布及其区间限值处对应的系统运行状态，据此可评估系统运行状态的不确定变化对振荡模式阻尼比的影响，并提供相关的稳定性信息。通过算例验证了所提出的方法的正确性和有效性。

英文摘要：

The problem of small-signal stability in power system considering uncertainty of load and generation is investigated. Firstly, this paper builds a nonlinear optimization model for solving the upper and lower limits of oscillation mode＇s damping ratio under interval uncertainty. Then, an effective successive linear programming （SLP） method is proposed to solve this problem. By using this method, the interval damping ratio and the corresponding operation states at its interval limits can be obtained. Calculation results can he used to evaluate the influence of load and generation variations on a certain mode and give useful information for improvement. Finally, the proposed method is validated on two test systems.