Nonlinear dynamical analysis of hydro-turbine governing system with a surge tank

Chen, Diyi; Ding, Cong; Ma, Xiaoyi; Yuan, Pingzhi; Ba, Duoduo

doi:10.1016/j.apm.2013.01.047

Cited by 93 publications

(68 citation statements)

References 18 publications

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“…Compared with the traditional simplified method of the Taylor series expansion, this paper presents a new simplified nonlinear method, as shown in function (3). When the hyperbolic tangent function is converted to an exponential function, the transfer function of penstock with the incremental head and flow can be given as …”

Section: Th T S Qsmentioning

confidence: 99%

“…For example, Paolo [2] has presented a detailed numerical model for the dynamic behavior of the Francis turbine, and has considered the effects of water hammer on the turbine. Chen [3] has introduced a novel model of a hydro-turbine system with a surge tank, and has studied the non-linear dynamical behaviors of the hydro-turbine system. According to many different mathematical models, various control methods have been proposed.…”

Section: Introductionmentioning

confidence: 99%

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Governor design for hydropower plants by intelligent sliding mode variable structure control

Liu

Qian

2016

JAIDM

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This work proposes a neural-fuzzy sliding mode control scheme for a hydro-turbine speed governor system. Considering the assumption of elastic water hammer, a nonlinear mode of the hydro-turbine governor system is established. By linearizing this mode, a sliding mode controller is designed. The linearized mode is subject to uncertainties. The uncertainties are generated in the process of linearization. A radial basis function (RBF) neural network is introduced to compensate for the uncertainties. The update formulas for the neural networks are derived from the Lyapunov direct method. For the chattering phenomenon of the sliding mode control, a fuzzy logic inference system is adopted. In the sense of Lyapunov, the asymptotical stability of the system can be guaranteed. Compared with the internal mode control and the conventional PID control method, some numerical simulations verify the feasibility and robustness of the proposed scheme.

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Section: Th T S Qsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Governor design for hydropower plants by intelligent sliding mode variable structure control

Liu

Qian

2016

JAIDM

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“…Though Fang et al [5] investigated a mathematical model for hydropower plants with upstream and tail surge tanks, many hydropower plants do not have a surge tank at the tail tunnel. To develop a governor for hydropower plants with an upstream surge tank, it is necessary to model such a governing system [22][23][24]. …”

Section: Dynamics Of a Hydropower Plant With An Upstream Surge Tankmentioning

confidence: 99%

Governor Design for a Hydropower Plant with an Upstream Surge Tank by GA-Based Fuzzy Reduced-Order Sliding Mode

Qian

2015

Energies

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This paper investigates governor design by reduced-order sliding mode for a hydropower plant with an upstream surge tank. The governing system is made up of a tunnel, a surge tank, a penstock, a wicket gate and servomechanism, a governor, a hydro-turbine and a grid. Concerning the components of the governing system, their mathematic models are established. Then, these models are interconnected to simulate the governing system. From the viewpoint of state space in modern control theory, the governing system is partially observed, which challenges the governor design. By introducing an additional state variable, the control method of reduced-order sliding mode is proposed, where the governor design is based on a reduced-order governing system. Since the governor is applied to the original governing system, the system stability is analyzed by means of the small gain theorem. An genetic algorithm is employed to search a group of parameters of the predefined sliding surface, and a fuzzy inference system is utilized to decrease the chattering problem. Some numerical simulations are illustrated to verify the feasibility and robustness of the control method.

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“…On account of lacking systematic management, it is a challenge to maintain the stability of a large hydroelectric station [4][5][6]. Many efforts are focused on constructing different mathematical models of the hydroturbine governing system and analyzing the stability and the bifurcation phenomena [7][8][9][10][11][12][13][14][15][16]; for example, Ling and Tao [13] analyzed the stability and the bifurcation phenomena of a proportional-integral-(PI-) (controller) type speed hydroturbine governing system with saturation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays

Luo¹,

Zhang²,

Du³

et al. 2017

Journal of Control Science and Engineering

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A PI hydroturbine governing system with saturation and double delays is generated in small perturbation. The nonlinear dynamic behavior of the system is investigated. More precisely, at first, we analyze the stability and Hopf bifurcation of the PI hydroturbine governing system with double delays under the four different cases. Corresponding stability theorem and Hopf bifurcation theorem of the system are obtained at equilibrium points. And then the stability of periodic solution and the direction of the Hopf bifurcation are illustrated by using the normal form method and center manifold theorem. We find out that the stability and direction of the Hopf bifurcation are determined by three parameters. The results have great realistic significance to guarantee the power system frequency stability and improve the stability of the hydropower system. At last, some numerical examples are given to verify the correctness of the theoretical results.

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Nonlinear dynamical analysis of hydro-turbine governing system with a surge tank

Cited by 93 publications

References 18 publications

Governor design for hydropower plants by intelligent sliding mode variable structure control

Governor design for hydropower plants by intelligent sliding mode variable structure control

Governor Design for a Hydropower Plant with an Upstream Surge Tank by GA-Based Fuzzy Reduced-Order Sliding Mode

Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays

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