Nonlinear dynamic analysis for a Francis hydro-turbine governing system and its control
Nonlinear dynamic analysis for a Francis hydro-turbine governing system and its control
复制标题
混流式水轮机调节系统非线性动力学分析及其控制
DOI：
10.1016/j.jfranklin.2014.07.002
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发表时间：
2014-09
期刊：
影响因子：
--
通讯作者：
Wang, Yichen
中科院分区：
文献类型：
--
作者：
Chen, Diyi;Ding, Cong;Do, Younghae;Ma, Xiaoyi;Zhao, Hua;Wang, Yichen
为了研究水轮机系统的非线性动力学行为，提出了一种基于状态空间方程的考虑调压舱影响的水轮机系统模型。利用直接代数判据，得到了Hopf分岔的临界点和稳定性满足平差系数的关系。进一步给出了分岔图和李雅普诺夫指数，并对其进行了分析。对具有代表性特征点的动力行为进行了识别和详细研究。理论分析和数值模拟均表明，调整系数的变化会引起混沌振荡，使系统不能稳定。为了控制系统中的混沌行为，设计了基于滑模控制（SMC）和模糊逻辑的模糊滑模调节器，并考虑了有界扰动。最后，通过一系列数值仿真验证了所设计调速器的有效性，证明了所设计的水轮机调速器能使水轮机调节系统保持较好的运行状态。
In this paper, we introduce a novel model of a hydro-turbine system with the effect of surge tank based on state-space equations to study the nonlinear dynamical behaviors of the hydro-turbine system. The critical points of Hopf bifurcation and the relationship of the stability satisfying with the adjustment coefficients are obtained from direct algebraic criterion. Furthermore, the bifurcation diagrams and Lyapunov exponents are presented and analyzed. The dynamical behaviors of the points with representative characteristics are identified and studied in detail. Both theoretical analysis and numerical simulations show that chaotic oscillations, which cannot stabilize the system, may occur with the changes of adjustment coefficients. To control the undesirable chaotic behaviors in this system, fuzzy sliding mode governor based on the sliding mode control (SMC) and the fuzzy logic are designed, and considering the bounded disturbance. Finally, series of numerical simulations are presented to verify the effectiveness of the proposed governor, which prove that the hydro-turbine governing system can maintain a better operation station under the designed governor.
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影响因子：
7.8
作者：
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通讯作者：
Jianxue Xu
影响因子：
5.6
作者：
Siavash Khosravi;M. Jahangir;H. Afkhami
通讯作者：
Siavash Khosravi;M. Jahangir;H. Afkhami
DOI：
10.1201/9781420009248
发表时间：
2007-05
期刊：
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影响因子：
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作者：
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通讯作者：
L. Grigsby
DOI：
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发表时间：
2005
期刊：
--
影响因子：
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作者：
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通讯作者：
Shen Zu-yi
DOI：
10.1109/tpas.1970.292676
发表时间：
1970
期刊：
IEEE Transactions on Power Apparatus and Systems
影响因子：
--
作者：
D. Ramey;J. Skooglund
通讯作者：
D. Ramey;J. Skooglund