Side view Top view Figure 718 Side and top views of the rotor displacement of self-bearing unit 1 at maximum Ys1 and self-bearing unit 2 at maximum Xs2 (Note rotations exaggerated – to aid clarity compared to rotations expected in practice) In order to compare the magnitude and direction of the demand radial bearing force estimated using different coordinate systems of of gb and gs. It is useful to represent the rotor displacement conditions of Figure 718 using radial coordinate in the end-on view of Figure 719. The corresponding radial displacement of coordinate systems of of gb and gs are simply calculated according to equation (70) and (71) respectively. (70) (71) As a result, the corresponding estimated radial force, and , using sensor-measuring coordinate system, gs, are directed in the negative Y and X direction respectively with the maximum value. However, the axial separation between the sensor position and the bearing unit centre, which is just under one third of the total axial length, will results in a significant force error occurs when compared to the actual required force, and, in terms of both magnitude and in particular direction. For such a case, a control system
Side view Top view Figure 718 Side and top views of the rotor displacement of self-bearing unit 1 at maximum Ys1 and self-bearing unit 2 at maximum Xs2 (Note – rotations exaggerated to aid clarity compared to rotations expected in practice) In order to compare the magnitude and direction of the demand radial bearing force estimated using different coordinate systems of of gb and gs. It is useful to represent the rotor displacement conditions of Figure 718 using radial coordinate in the end-on view of Figure 719. The corresponding radial displacement of coordinate systems of of gb and gs are simply calculated according to equation (70) and (71) respectively. (70) (71) As a result, the corresponding estimated radial force, and , using sensor-measuring coordinate system, gs, are directed in the negative Y and X direction respectively with the maximum value. However, the axial separation between the sensor position and the bearing unit centre, which is just under one third of the total axial length, will results in a significant force error occurs when compared to the actual required force, and, in terms of both magnitude and in particular direction. For such a case, a control system
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