含励磁环节的分数阶电力系统混沌振荡分析与控制

闵富红; 王耀达; 窦一平

doi:10.11999/JEIT161398

含励磁环节的分数阶电力系统混沌振荡分析与控制

doi: 10.11999/JEIT161398

基金项目:

国家自然科学基金(51475246)，江苏省自然科学基金(BK20131402)

计量
- 文章访问数: 1264
- HTML全文浏览量: 101
- PDF下载量: 308
- 被引次数: 0
出版历程
- 收稿日期: 2016-12-29
- 修回日期: 2017-03-01
- 刊出日期: 2017-08-19

Analysis and Control of Chaotic Oscillation in Fractional-order Power System with Excitation Model

Funds:

The National Natural Science Foundation of China (51475246), The Natural Science Foundation of Jiangsu Province (BK20131402)

摘要

摘要: 该文以含励磁环节的分数阶四阶电力系统模型为对象，研究其动力学行为并加以同步控制。首先，固定系统参数，利用分岔图和最大Lyapunov指数谱计算系统产生混沌振荡的最低阶次。其次，以单变量法分别研究机械功率、阻尼系数和励磁增益的改变对系统动力学行为的影响，通过数值仿真绘制系统随参数变化下的分岔图、Lyapunov指数谱等，选取不同的系统初值，研究同一系统在不同初值的情况下存在的多吸引子共存现象。最后，基于分数阶系统稳定性理论和非线性反馈控制理论，设计同步控制器实现系统混沌控制，数值仿真验证了所设计控制器的有效性。
- 分数阶系统 /
- 四阶电力系统 /
- 吸引子共存 /
- 同步控制器
Abstract: Based on the four-order power system model, a fractional-order power system model with excitation model is presented in this paper and the dynamic properties of the fractional-order system are investigated and controlled. Firstly, the fractional-order power system of 4D is given and then the minimum order for existence of chaotic oscillation in power system with fixed parameters is achieved through bifurcation diagram and maximum Lyapunov exponent. Secondly, the influence of mechanical power, damping coefficient and excitation gain on system dynamics behavior is studied respectively. The bifurcation diagrams and Lyapunov exponent spectrum of the system are plotted through numerical simulations, respectively. In addition, the coexistence of attractors with different initial conditions in the same system is investigated. Finally, from the stability theory of fractional-order system and nonlinear feedback control theory, a synchronous controller of two power systems with different initials is designed, and numerical simulations show the effectiveness of the controller.
- Fractional-order system /
- Four-order power system /
- Coexistence of attractors /
- Synchronous controller

HTML全文

参考文献(20)

王宝华, 杨成梧, 张强. 电力系统分岔与混沌研究综述[J]. 电工技术学报, 2005, 20(7): 1-10.

WANG Baohua, YANG Chengwu, and ZHANG Qiang. Summary of bifurcation and chaos research in electric power system[J]. Transactions of China Electrotechnical Society, 2005, 20(7): 1-10.

NI Junkang, LIU Ling, LIU Chongxin, et al. Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system[J]. IEEE Transactions Circuits and Systems-II: Express Briefs, 2017, 64(2): 151-155. doi: 10.1109/TCSII.2016.2551539.

杨珺, 王雅光, 孙秋野, 等. 智能电网的失稳与混沌[J]. 东北大学学报(自然科学版), 2016, 37(1): 6-10. doi: 10.3969/j.issn. 1005-3026.2016.01.002.

YANG Jun, WANG Yaguang, SUN Qiuye, et al. Instability and chaos of smart grid[J]. Journal of Northeastern University (Natural Science), 2016, 37(1): 6-10. doi: 10.3969/ j.issn.1005-3026.2016.01.002.

余晓丹, 贾宏杰, 王成山. 时滞电力系统全特征谱追踪算法及其应用[J]. 电力系统自动化, 2012, 36(24): 10-14. doi: 10.3969 /j.issn.1000-1026.2012.24.003.

YU Xiaodan, JIA Hongjie, and WANG Chengshan. An eigenvalue spectrum tracing algorithm and its application in time delay power systems[J]. Automation of Electric Power Systems, 2012, 36(24): 10-14. doi: 10.3969/j.issn.1000-1026. 2012.24.003.

VENKATASUBRAMANIAN V and JI W. Coexistence of four different attractors in a fundamental power system model[J]. IEEE Transactions on Circuits and Systems : Fundamental Theory and Applications, 1999, 46(3): 405-409.

MIN Fuhong, WANG Yaoda, PENG Guangya, et al. Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation[J]. AIP Advances, 2016, 6(8): 08521401-08521411. doi: 10.1063/ 1.4961696.

MA Meiling and MIN Fuhong. Bifurcation behavior and coexisting motions in a time-delayed power system[J]. Chinese Physics B, 2015, 24(3): 03050101-03050109. doi: 10. 1088/1674-1056/24/3/030501.

胡建兵, 赵灵冬. 分数阶系统稳定性理论与控制研究[J]. 物理学报, 2013, 62(24): 24050401-24050407. doi: 10.7498/aps.62. 240504.

HU Jianbing and ZHAO Lingdong. Stability theorem and control of fractional systems[J]. Acta Physica Sinica, 2013, 62(24): 24050401-24050407. doi: 10.7498/aps.62.240504.

谭文, 张敏, 李志攀. 分数阶互联电力系统混沌振荡及其同步控制[J]. 湖南科技大学学报(自然科学版), 2011, 26(2): 74-78.

TAN Wen, ZHANG Min, and LI Zhipan. Chaotic oscillation of interconnected power system and its synchronization[J]. Journal of Hunan University of Science Technology (Natural Science Edition), 2011, 26(2): 74-78.

张友安, 余名哲, 耿宝亮. 基于投影法的不确定分数阶混沌系统自适应同步[J]. 电子与信息学报, 2015, 37(2): 455-460. doi: 10.11999/JEIT140514.

ZHANG Youan, YU Mingzhe, and GENG Baoliang. Adaptive synchronization of uncertain fractional-order chaotic systems based on projective method[J]. Journal of Electronics Information Technology, 2015, 37(2): 455-460. doi: 10.11999/JEIT140514.

王诗兵, 王兴元. 超混沌复系统的自适应广义组合复同步及参数辨识[J]. 电子与信息学报, 2016, 38(8): 2062-2067. doi: 10.11999/JEIT160101.

WANG Shibing and WANG Xingyuan. Adaptive generalized combination complex synchronization and parameter identification of hyperchaotic complex systems[J]. Journal of Electronics Information Technology, 2016, 38(8): 2062-2067. doi: 10.11999/JEIT160101.

董俊, 张广军. 异结构的分数阶超混沌系统函数投影同步及参数辨识[J]. 电子与信息学报, 2013, 35(6): 1371-1375. doi: 10.3724/SP.J.1146.2012.01463.

DONG Jun and ZHANG Guangjun. Function projective synchronization and parameter identification of different fractional-order hyper-chaotic systems[J]. Journal of Electronics Information Technology, 2013, 35(6): 1371-1375. doi: 10.3724/SP.J.1146.2012.01463.

施引文献

资源附件(0)

访问统计