Abstract. Despite use of the best in current design practices, high-speed shaft (HSS) bearings, in a wind-turbine gearbox, continue to exhibit a high rate of premature failure. As HSS bearings operate under low loads and high speeds, these bearings are prone to skidding. However, most of the existing methods for analyzing skidding are quasi-static in nature and cannot be used to study dynamic operating conditions. This paper proposes a dynamic model, which includes gyroscopic and centrifugal effects, to study the skidding characteristics of angularcontact ball-bearings. Traction forces between rolling-elements and raceways are obtained using elastohydrodynamic (EHD) lubrication theory. Underlying gross-sliding mechanisms for pure axial loads, and combined radial and axial loads are also studied. The proposed model will enable engineers to improve bearing reliability at the design stage, by estimating the amount of skidding.
IntroductionWind energy is the fastest growing renewable energy sector with an average annual growth rate of around 30% during last 10 years. In order to harvest energy most efficiently and reliably, various wind-turbine design concepts have been developed over the years. Most of the modern wind-turbine designs utilize a gearbox which connects the rotor-shaft to high-speed shaft, and increases rotational speed from 15-30 rpm (at blades) to 1000-1800 rpm -the speed required by most generators to produce electricity. As wind-turbines have grown larger, gearbox failure rates have gone up as well. Since gearbox is one of the most expensive components of a wind turbine, higher-than-expected failure rates increase the cost of energy production. For a typical turbine, 20% of the downtime is due to gearbox failures and an average gearbox failure takes about 250 hours to repair [1].Most of the problems in wind turbine gearboxes appear to emanate from bearings [2]. Bearings supporting the high speed shaft exhibit a high rate of premature failure and are identified as one of the most critical components [1,2]. These bearings operate under low loads and high speeds, and therefore, are prone to skidding, i.e., gross-sliding of rolling-elements on raceways. Sliding can lead to rolling surface distress and eventually to premature failure. Hence, skidding is an important design criterion for wind-turbine bearings. Both ball-bearings and roller-bearings are commonly used to support HSS. The focus of this work is on angular-contact ball-bearings.Researchers have developed numerous analytical and numerical models of varying complexity to understand the skidding behaviour of bearings. Jones [3,4] developed the first mathematical theory to analyze the motion of rolling-elements in ball bearings. He evaluated the frictional