Abstract

Due to the frequently occurred adverse vibration of hydraulic structures, vibration risk assessment is significant for the water energy efficiency of hydropower station and the safety of people and structures. Recently, the abnormal vibration of hydro-turbine-generator in a large hydropower station occurred and the main influencing factors of vibration are analyzed based on the prototype data and engineering experience. Different from the deterministic variable features in traditional support vector domain description (SVDD) algorithms, the feature of vibration amplitude is actually a random variable so that the different target objects will be obtained at different confidence levels. In order to assess the vibration range and excessive vibration probability, the original SVDD boundary at relatively low confidence level is firstly calculated. Then, the boundary extension operation with detailed theoretical deduction is performed and the extended boundary is further optimized inspired by path planning problem. The advantage of proposed approach is that it can improve the data fitting performance for single dimension (i.e. vibration amplitude) without leading to complex boundary which cannot be used for vibration risk assessment. By applying this approach to the practical vibration problem, the quantitative and slightly conservative assessment results are conveniently obtained, which indicate that this approach is reasonable and cost-effective.

Highlights

  • Due to the important need for comprehensive utilization of water resources, many large water conservancy projects characterized by high head, high-speed flow and tremendous flood discharge have been built or are currently under construction worldwide, especially in Southwest China

  • In order to accurately and conveniently assess the vibration amplitude range and excessive vibration probability at different confidence levels, the approach including original boundary determination, extended boundary calculation and boundary optimization is proposed in this paper, and the proposed approach is applied to deal with the practical vibration problem of the hydro-turbine-generator

  • The #4 unit load and abandoned water flow are considered to be the main influencing factors for the vibration amplitude according to the analysis based on the dynamic response of the measuring point with maximum vibration amplitude and the engineering experience for the vibration problem induced by high dam flood discharge

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Summary

Introduction

Due to the important need for comprehensive utilization of water resources, many large water conservancy projects characterized by high head, high-speed flow and tremendous flood discharge have been built or are currently under construction worldwide, especially in Southwest China. If there are precision instrument in operation near #4 unit, the SVDD decision boundary should be calculated on the basis of target objects of which the feature of dynamic displacement RMS should be multiplied by a large amplification factor, the excessive vibration risk will be significantly reduced. The reason is that the target objects with the vibration amplitudes obtained by the displacement histories measured in Cases 14, 15 and 19 are not the support vectors in the calculation of original boundary, the significant deviations will almost certainly be generated and this does not mean that the proposed approach is unreasonable or inaccurate. The probability that the vibration amplitude exceeds the vibration range calculated by the displacement response under a certain working condition can be conservatively replaced by the probability that the vibration amplitude exceeds the vibration range determined by the optimal boundary, and can be quantitatively described by the probability calculated by the normal distribution theory

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