Optimization of the Conical Angle of Cone-Shaped Active Magnetic Bearings

The conical angle of cone-shaped active magnetic bearings is studied. A model of a conical bearing system and load forces is made. A minimax decision approach is used with the model. The conical angle is optimized so that the control forces required are as small as possible for a given load combination. Also, the conical angle is optimized so that the size of the conical bearing can be made as small as possible. The effect of control strategy on optimization is discussed. As a result, formulae for an optimal conical angle are given. The results also show the effect of using an angle other than the optimum angle, e.g., for manufacturing reasons.