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Analytic Estimation Method of Forced Oscillation Amplitude Under Stochastic Continuous Disturbances

机译：随机连续扰动下强迫振荡振幅的解析估计方法

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摘要

This paper proposes an analytic method for the amplitude estimation of the forced oscillation under stochastic continuous disturbances (SCDs). There is considerable interest in the integration of intermittent renewable energy resources into a power system, which leads to the power system in an environment with SCDs. Thus, the forced oscillation issues under SCDs are of concern. In this paper, the SCDs arc described as continuous-time stochastic processes, and then the systems under SCDs are modeled by stochastic differential algebraic equations. Furthermore, by employing stochastic theory, an efficient analytic method for calculating the statistics of system states during the forced oscillation is proposed. Moreover, a novel forced oscillation phenomenon, which presents system states oscillate with stationary distributions under SCDs, is clearly characterized and theoretically explained. Based on the proposed analytic method, a scheme is put forth to estimate amplitudes of system states during forced oscillation under SCDs. Finally, compared to Monte Carlo simulation, the proposed scheme has two significant advantages. First, the proposed scheme offers a fast and effective solution for engineering applications. Second, the impact mechanism of SCDs on forced oscillation in power system is clearer, by the proposed scheme.
机译：针对随机连续扰动（SCDs），本文提出了一种强迫振动幅度估计的解析方法。将间歇性可再生能源整合到电力系统中引起了极大的兴趣，这导致电力系统处于具有SCD的环境中。因此，SCDs下的强制振荡问题值得关注。本文将SCD描述为连续时间随机过程，然后用随机微分代数方程对SCD下的系统进行建模。此外，利用随机理论，提出了一种用于计算强迫振荡过程中系统状态统计量的有效解析方法。此外，一种新颖的强迫振荡现象被清晰地表征并在理论上进行了解释，该现象呈现出在SCDs下系统状态以平稳分布振荡的系统状态。基于所提出的解析方法，提出了一种在SCDs下强迫振荡过程中估计系统状态幅度的方案。最后，与蒙特卡洛模拟相比，该方案具有两个明显的优点。首先，该方案为工程应用提供了一种快速有效的解决方案。其次，通过提出的方案，SCDs对电力系统强迫振荡的影响机理更加清晰。

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