Physics Based Hydraulic Turbine Model for System Dynamics Studies

Giosio, Dean R.; Henderson, AD; Walker, GJ; Brandner, PA

doi:10.1109/tpwrs.2016.2574330

Cited by 15 publications

(14 citation statements)

References 16 publications

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“…The ability of the proposed model to accurately predict penstock pressure following rapid guide vane movement under normal operating conditions, verified in [13], was not observed in the rapid transition tests from TWD mode. For test case RT-2, the magnitude and frequency of the penstock pressure transients were well predicted, although it is apparent that a degree of backlash is present, resulting in slightly delayed and gentler pressure transients not captured in the model.…”

Section: Model Resultsmentioning

confidence: 95%

“…The formulation of a one-dimensional hydropower plant model is presented, building on the work by Giosio et al [13], utilising the law of conservation of angular momentum with additional modifications to account for flow accumulation, and the nature of the incoming velocity vector during transition. Simulation results, validated against full-scale data, are shown to capture the general characteristic of the power and penstock pressure response during rapid transition, providing further validation of the proposed transition description.…”

Section: Discussionmentioning

confidence: 99%

“…The following model is an extension of the one-dimensional numerical model of a hydropower plant for system dynamic studies presented by Giosio et al [13], implemented within the MATLAB Simulink (v8.4, Mathworks, Natick, MA, USA) environment. The model replaces the conventional, simplified representation of the turbine unit by a consideration of turbine inlet and outlet velocity vectors, where machine output is calculated by the Euler turbine equation, based on the conservation of angular momentum.…”

Section: Analytical Modelmentioning

confidence: 99%

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Rapid Reserve Generation from a Francis Turbine for System Frequency Control

et al. 2017

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Abstract:The increase in contributions from non base load renewables, such as wind and solar, can have adverse effects on the stability of an electrical grid. In this study, the possibility of rapidly loading a Francis turbine from a tail water depression (TWD) mode for providing additional system frequency control is investigated. Based on the analysis of full-scale TWD test results and key findings from the transient testing of a micro-hydro scale turbine unit, a detailed description of the TWD transition process is given. The formulation of an improved turbine model for use in one-dimensional hydro-electric plant models is presented with simulation results compared to full-scale data. The analytical model, which calculates output power according to the conservation of angular momentum and identified sources of loss, is used in parallel with full-scale and model scale test observations to elucidate the events and mechanisms occurring during this proposed transition. The output response, in terms of active power, was found to be highly dependent on guide vane opening rate in both full-scale and model tests. For an approximate doubling in opening rate, the duration of the reverse power flow was reduced by 38% and 21%, for full-scale and model units, while the low pressure transient increased by 16% and 8%, respectively. The analytical model was shown to capture the general response characteristic in all cases tested; however, output power response was over predicted due to two identified model assumptions made, while, for the more rapid opening, the penstock pressure was under predicted by approximately 15%.

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Section: Model Resultsmentioning

confidence: 95%

Section: Discussionmentioning

confidence: 99%

Section: Analytical Modelmentioning

confidence: 99%

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Rapid Reserve Generation from a Francis Turbine for System Frequency Control

et al. 2017

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“…Hydroturbines have a very wide range of applications, which are commonly found in wind turbines, water turbines, aero engines, etc. [1,2]. Blade components also have important applications in drilling engineering and are often used as turbine power generators and turbine drilling tools as downhole power devices [3].…”

Section: Introductionmentioning

confidence: 99%

Simulation Study on Dynamics of Hydraulic Turbines Used in Drilling Engineering

Zeng

Wang

Ding

et al. 2020

Shock and Vibration

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Hydroturbines have a very wide range of applications, which are commonly found in wind turbines, water turbines, aero engines, etc. This paper provided a detailed turbine design and a design method of turbine blade shape. Using the CFD (computational fluid dynamics) method, based on the realizable k-ɛ turbulence model and Euler multiphase flow model, the effects of different external loads, blade numbers, blade installation angles, and flow rates on the force condition of turbine and the influence of different solid contents, particle sizes, and densities on turbine performance were studied. The simulation results show that, under the action of fluid, when the starting torque of turbine is larger than the external load, the turbine starts to move, the angular velocity increases until it remains constant, the absolute value of impact force decreases, and the impact torque decreases until it is equal to the external load; while the starting torque of turbine is smaller than the external load, the turbine stays still. The increase of the particle size, content, and density of the solid phase will lead to an increase in the torque and pressure drop of the turbine and ultimately leads to the increase of turbine input, output power, and efficiency.

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“…In control design and stability analysis of the HTGS, models of the hydraulic dynamics usually take the transfer function form [5,6], which is inconvenient to be applied to non-linear control design and analysis as well as when the elastic water column is considered. Many models of the hydro turbine including the hydraulic dynamics have been developed, such as differential equation model [7][8][9], identification models [10][11][12][13], and considering details of the diversion penstock model [14][15][16][17][18]. Some of new non-linear model were derived based on the non-linear differential equation model of the hydraulic system and turbine, such as Hamiltonian model [19][20][21], and fractional-order model [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Differential equation model of single penstock multi‐machine system with hydraulic coupling

Zeng

Qian

Guo

et al. 2019

IET Renewable Power Generation

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Calculation of the hydraulic coupling in the single penstock multi-machine (SPMM) is one of the main obstacles for control design of the hydro turbine governor. In order to resolve this problem, a multi-machine differential equation model suitable for control design and stability analysis is established in this study. First, the multi-machine differential equation with the hydraulic coupling model is then established to facilitate building the joint model of the hydro turbine with the hydraulic system and the generator considering the hydraulic-mechanic-electric coupling. Second, the dynamic head in the common penstock satisfying the superposition principle is revealed. This means that the dynamic head in the common penstock can be calculated by using the state variables of the branch pipe. Third, simulation reveals that the differential item in the hydraulic coupling is the main factor affecting the computational convergence. As such, the approximate method ignoring the differential item in the hydraulic coupling is proposed to solve the problem of computational convergence of the SPMM. Finally, the classical method of characteristic (MOC) is employed to verify the proposed model. The results show that the proposed model has higher accuracy and is easy to connect with the non-linear model of the generator. Z nC , Z n(i) Surge impedance of the common penstock and the ith branch pipe, p.u. α C , α (i) Wave velocity of the common penstock and the ith branch pipe, m/s ξ Coefficient of the local loss

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Physics Based Hydraulic Turbine Model for System Dynamics Studies

Cited by 15 publications

References 16 publications

Rapid Reserve Generation from a Francis Turbine for System Frequency Control

Rapid Reserve Generation from a Francis Turbine for System Frequency Control

Simulation Study on Dynamics of Hydraulic Turbines Used in Drilling Engineering

Differential equation model of single penstock multi‐machine system with hydraulic coupling

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