| 引用本文: | 杨凌霄,杨松林.基于观测器的发电机功角和未知输入估计[J].电力系统保护与控制,2016,44(15):128-134.[点击复制] |
| YANG Lingxiao,YANG Songlin.Observer-based power angle and unknown input estimations for generator system[J].Power System Protection and Control,2016,44(15):128-134[点击复制] |
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| 摘要: |
| 为了提高电力系统运行稳定性，针对同步发电机功角和未知输入的估计问题，提出了基于观测器的估计方法。利用同步发电机的运动方程和电磁方程，建立同步发电机四阶数学模型；运用泰勒公式对模型进行线性化，将产生的佩亚诺余项和参数变化引起的建模不准确归结为未知输入。对线性化后的数学模型进行状态变换，将数学模型分解成含未知输入项和不含未知输入项两部分；分别设计两部分的观测器，根据极点配置方法和Lyapunov稳定性理论分别确定两个观测器的增益矩阵。通过Matlab仿真，验证了基于观测器的同步发电机功角和未知输入估计方法的有效性。该方法具有响应时间短、估计精度高的特点，可以快速准确地实现发电机功角和系统未知输入的估计。 |
| 关键词: 同步发电机 Lyapunov稳定性 极点配置 功角估计 未知输入估计 未知输入观测器 |
| DOI：10.7667/PSPC151486 |
| 投稿时间：2015-08-21修订日期：2015-11-05 |
| 基金项目:国家自然科学基金项目(61403129) |
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| Observer-based power angle and unknown input estimations for generator system |
| YANG Lingxiao,YANG Songlin |
| (School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China) |
| Abstract: |
| To improve the stability of power system, this paper discusses the estimation issues of both power angle and unknown input for generator system, an observer-based estimated method is proposed to deal with the above problems. A fourth-order mathematical model of generator is derived from the motion and electromagnetic equations. The model is linearized by Taylor''s formula, where the remainder produced by model linearization and model uncertainty caused by parameter variation is regarded as the unknown input of generator system. A state transformation is used to decompose the generator model, so that the model is decomposed into two parts, containing unknown input item and no unknown input item. The observer of these two parts are designed respectively, gain matrices of them are obtained by method of pole placement and Lyapunov stability theory. The method of observer-based power angle and unknown input estimations for generator system is verified by the Matlab simulation, and this method presents characteristics of short response time and high accuracy of estimation, so that fast and accurate estimation of power angle and unknown input is realized. This work is supported by National Natural Science Foundation of China (No. 61403129). |
| Key words: synchronous generator Lyapunov stability pole assignment angle estimation unknown input estimation unknown input observer |
