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| Shafting vibration model with torsion deformation in shaft of hydro-turbine generator units |
| WANG Yongli, ZENG Yun*, XU Liankui, SUN Jiaxiang, ZHAO Meng |
| Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650093, China |
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Abstract The traditional assumption ignoring torsion deformation in the shafting in hydro-turbine generator units(HTGU)may lead to a large deviation from the actual situation in analyses of shafting vibration. Thus, two equations, i.e. shafting vibration equation and rotor motion equation with torsion effect were established based on the Lagrange method. Further, a unified first-order differential equation was configured with them by defining a generalized momentum. Taking the resistance torque on the generator rotor and the driving torque on the turbine runner as the link, a complete HTGU operating simulation system, including the hydraulic system, generator, excitation controller and governor, was established and solved by making use of the second-order Runge-Kutta method. The calculated results show that the considered torsion effect has a little influence on the lateral vibration of the shafting under unit fault disturbance conditions but has a great impact on the torsion deformation in the shaft under stable operating conditions. Under unit fault disturbance conditions, the variation trend of torsional angle between the generator rotor and the turbine runner is basically consistent with that of active power. These simulations show that the torsion vibration model established in this paper can represent essential features of the shafting vibration, and hence it is reasonable.
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Received: 12 March 2018
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