1
Dynamic Characteristics of Triaxial Active Control Magnetic Bearing with Asymmetric Structure Atsushi Nakajima, Katsuhiro Hirata, Noboru Niguchi, and Masayuki Kato Osaka University Bibliography [1] Gerhard Schweitzer, Eric H. Maslen, “Magnetic Bearings -Theory, Design, and Application to Rotating Machinery,” Springer, 2009. [2] Kouhei Tsuchida, Masatsugu Takemoto, Satoshi Ogasawara, “A Novel Structure of a 3-axisActive Control Type Magnetic Bearing With a Cylindrical Rotor”, International Conference on Electrical Machines and Systems, 2010 Proposed Magnetic Bearing The structure and operating principle of proposed magnetic bearing are shown in Fig. 2 and Fig. 3. Computed Result by 3-D FEM Suspension force in each axis is shown in Table I. The current density of the coil is are 12 A/mm 2 . The rotor is fixed in an initial position. the suspension force in the positive direction of Z-axis is significantly higher than the other forces due to the asymmetric structure. Active Control The controllability of the proposed 3-axis AMB under position control in the following four conditions - Operation from no load condition - X-axis disturbance control in steady state - Z-axis disturbance control in steady state - X- and Z- axes disturbances control in steady state In all cases, control is possible within allowable current density and within allowable displacement.. Conclusion • We proposed a novel magnetic bearing with asymmetric structure. The feature of the proposed structure is to have non-magnetic material parts for control the magnetic path. • Its basic characteristics were verified by 3-D FEA. Due to asymmetric our magnetic bearing can generate high thrust force to practical use. • we verified the controllability of the proposed AMB by conducting a control simulation using a PID control. Table I Excitation coil Suspension force Direction of force Force [ N ] Radial coil + x 179 Thrust coil (+z) + z 830 Thrust coil (z) z 131 Structure Air gap length : 0.55 mm z 130 mm 68.7 mm 24.8 mm 13.9 mm 11.5 mm Rotor Shaft Thrust stator & coil z1 Thrust stator & coil z1 Radial stator & coil Thrust stator & coil z3 Non-magnetic material 49.1 mm Axially asymmetric. Have a radial stator (8 coils), three thrust stators and a rotor. The rotor consists of a magnetic material and 2 non-magnetic parts. Maximum current density : 12 A/mm 2 Allowable displacement : X-axis 0.1mm, Z-axis 0.15mm Fig. 2. Basic structure of proposed magnetic bearing. : Magnetic flux y1 y2 x1 x2 f z z1 z2 z3 x z y x y z Operating principle 2 adjacent radial coils are connected in series. - the radial coils consist of 4 circuits: (x1, x2) and (y1, y2) The thrust coils z1 and z2 are connected in series. A negative Z-axis thrust force is generated by the magnetic flux due to the thrust coil z3. Fig. 3. Operating principle. 0 50 100 150 200 250 300 350 400 450 500 -2.0E-05 -1.5E-05 -1.0E-05 -5.0E-06 0.0E+00 5.0E-06 1.0E-05 0 1 2 3 4 External force [N] displacement x [mm] time [s] x External force 0 100 200 300 400 500 600 700 800 900 -5.0E-04 -3.0E-04 -1.0E-04 1.0E-04 3.0E-04 5.0E-04 7.0E-04 9.0E-04 0 1 2 3 4 External force [N] displacement z [mm] time [s] z External force Fig. 5. Controllability when external forces are applied in the X and Z axes. (a) X-axis displacement. (b) Z-axis displacement. 0 100 200 300 400 500 600 700 -0.05 0 0.05 0.1 0.15 0.2 0 0.2 0.4 0.6 0.8 1 External force [N] Displacement z [mm] time [s] disp. z disp. x force Fig. 4. Simulation result of Z-axis position control. Introduction Shaft Motor Thrust magnetic bearing Radial magnetic bearing ・Need motor and 3 bearings(4 units) -increasing size of the system -reduction in the critical speed ・Have a flat disk in thrust rotor -pore assemblability -reduction of the speed limit Fig. 1. Five-axis active control magnetic levitation system . To solve these problem, triaxial active control magnetic bearings without flat disk have been proposed. However, supporting force of triaxial magnetic bearings are not high enough.

Dynamic Characteristics of Triaxial Active Control ...£気支持・磁気浮上/3... · Thrust magnetic bearing Radial magnetic bearing ・Need motor and 3 bearings(4 units)-increasing

  • Upload
    others

  • View
    2

  • Download
    0

Embed Size (px)

Citation preview

  • Dynamic Characteristics of Triaxial Active Control Magnetic Bearing with Asymmetric Structure

    Atsushi Nakajima, Katsuhiro Hirata, Noboru Niguchi, and Masayuki KatoOsaka University

    Bibliography[1] Gerhard Schweitzer, Eric H. Maslen, “Magnetic Bearings -Theory, Design, and

    Application to Rotating Machinery,” Springer, 2009.[2] Kouhei Tsuchida, Masatsugu Takemoto, Satoshi Ogasawara, “A Novel Structure of

    a 3-axisActive Control Type Magnetic Bearing With a Cylindrical Rotor”,International Conference on Electrical Machines and Systems, 2010

    Proposed Magnetic BearingThe structure and operating principle of proposed magnetic bearing areshown in Fig. 2 and Fig. 3.

    Computed Result by 3-D FEM・Suspension force in each axis is shown in Table I.・The current density of the coil is are 12 A/mm2.・The rotor is fixed in an initial position.・the suspension force in the positive direction of Z-axis is significantly

    higher than the other forces due to the asymmetric structure.

    Active ControlThe controllability of the proposed 3-axis AMB under position control in the following four conditions- Operation from no load condition- X-axis disturbance control in steady state- Z-axis disturbance control in steady state- X- and Z- axes disturbances control in steady state⇨In all cases, control is possible within allowable current density and

    within allowable displacement..

    Conclusion• We proposed a novel magnetic bearing with asymmetric structure. The feature of the proposed structure is to have non-magnetic material parts for control the magnetic path.

    • Its basic characteristics were verified by 3-D FEA. Due to asymmetric our magnetic bearing can generate high thrust force to practical use.

    • we verified the controllability of the proposed AMB by conducting a control simulation using a PID control.

    Table I

    Excitation coilSuspension force

    Direction of force Force [ N ]

    Radial coil + x 179

    Thrust coil (+z) + z 830

    Thrust coil (−z) − z 131

    Structure

    Air gap length : 0.55 mmz

    130 mm

    68.7 mm 24.8 mm 13.9 mm 11.5 mm

    RotorShaft

    Thrust stator & coil z1

    Thrust stator & coil z1

    Radial stator & coil

    Thrust stator & coil z3

    Non-magneticmaterial

    49.1 mm

    ・Axially asymmetric.・Have a radial stator (8 coils), three thrust stators and a rotor.・The rotor consists of a magnetic material and 2 non-magnetic parts.・Maximum current density : 12 A/mm2

    ・Allowable displacement : X-axis 0.1mm, Z-axis 0.15mm

    Fig. 2. Basic structure of proposed magnetic bearing.

    : Magnetic flux

    y1

    y2

    x1x2

    fz

    z1

    z2

    z3

    xz

    y

    xy

    z

    Operating principle

    ・2 adjacent radial coils are connected in series.- the radial coils consist of 4 circuits: (x1, x2) and (y1, y2)

    ・The thrust coils z1 and z2 are connected in series.・A negative Z-axis thrust force is generated by the magnetic flux

    due to the thrust coil z3.

    Fig. 3. Operating principle.

    0

    50

    100

    150

    200

    250

    300

    350

    400

    450

    500

    -2.0E-05

    -1.5E-05

    -1.0E-05

    -5.0E-06

    0.0E+00

    5.0E-06

    1.0E-05

    0 1 2 3 4

    Exte

    rnal

    forc

    e [

    N]

    dis

    pla

    cem

    ent x [

    mm

    ]

    time [s]

    x

    External force

    0

    100

    200

    300

    400

    500

    600

    700

    800

    900

    -5.0E-04

    -3.0E-04

    -1.0E-04

    1.0E-04

    3.0E-04

    5.0E-04

    7.0E-04

    9.0E-04

    0 1 2 3 4 Exte

    rnal

    forc

    e [N

    ]

    dis

    pla

    cem

    ent z

    [mm

    ]

    time [s]

    z

    External force

    Fig. 5. Controllability when external forces are applied in the X and Z axes.

    (a) X-axis displacement. (b) Z-axis displacement.

    0

    100

    200

    300

    400

    500

    600

    700

    -0.05

    0

    0.05

    0.1

    0.15

    0.2

    0 0.2 0.4 0.6 0.8 1

    Exte

    rnal

    forc

    e [N

    ]

    Dis

    pla

    cem

    ent

    z [m

    m]

    time [s]

    disp. z

    disp. x

    force

    Fig. 4. Simulation result of Z-axis position control.

    Introduction

    Shaft

    Motor

    Thrust magnetic

    bearingRadial magnetic

    bearing

    ・Need motor and 3 bearings(4 units)-increasing size of the system-reduction in the critical speed

    ・Have a flat disk in thrust rotor-pore assemblability-reduction of the speed limit

    Fig. 1. Five-axis active control magnetic levitation system.

    To solve these problem, triaxial active control magnetic bearings without flat disk have been proposed.

    However, supporting force of triaxial magnetic bearings are not high enough.