Electric-Field Induction Motor with Discrete Circuit Elements and Improved Rotor Dynamics
Authors: Alex S. Miller, Jeffrey H. Lang
Organizations: Dept. of Aeronautics and Astronautics Massachusetts Institute of Technology Cambridge, USA · Dept. of Electrical Eng. and Computer Sci. Massachusetts Institute of Technology Cambridge, USA
Electric-field-based actuators and machines lead the design space at the nanoscale and in biological systems, while having the potential to be used in favorable macroscale applications which prioritize minimal mass, performance in a vacuum, or performance in high temperatures. Electric-field induction motors consist of a set of stator electrodes which induce opposite charges onto a movable rotor surface. In earlier work, rotor surfaces for electric-field induction motors have been made of single continuum materials, which are limited in possible resistivity, permittivity and circuitry characteristics. To enhance design freedom, we develop a rotor for electric-field-based machines which may be constructed out of discrete circuit components between a finite number of conductive vanes. Magnetic-field induction motors, which are common in machinery, often utilize deep bar'' rotors, consisting of conducting bars which decrease the rotor time constant with increasing frequency using the skin depth effect. We propose, analyze, design and demonstrate a macro-scale electric-field induction motor which uses circuitry on the rotor surface to emulate the deep bar'' design, providing improved torque over a wide range of speeds.
Figures & tables
Fig. 1 : Diagram showing the electromechanical operation of an electric-field induction motor. The stator electrodes are driven with a traveling sinusoidal excitation which induces charge on the rotor surface. Charge relaxation on the rotor surface results in shear force between the rotor and stator, causing the rotor to move.
Fig. 2 : Diagram showing simplified topologies of electro-quasistatic induction motors including (a) the traditional electro-quasistatic induction motor with a continuous rotor conductor material. (b) electro-quasistatic induction motor with discrete rotor resistors such as developed in this work. (c) electro-quasistatic induction motors with circuits on the rotor to shape the speed-torque characteristics, such as developed in this work. (d) electro-quasistatic induction motors with circuits made from two or more layers of continuous material on the rotor with circuits that change the speed-torque characteristics.
Fig. 3 : Circuit between rotor vane electrodes on electro-quasistatic induction motor with discrete rotor resistors, R0 , and parasitic vane capacitance, Cvane .
Fig. 4 : Rotor design for electro-quasistatic induction motor using discrete resistors. (a) Front of rotor circuit board, showing discrete resistors. (b) Back of rotor circuit board, showing electrode vanes.
Fig. 5 : Circuit between rotor vane electrodes to achieve a frequency-dependent rotor time constant, τR , as a function of slip frequency. This design emulates a “deep bar” rotor common in magnetic-field machines, with the goal of achieving both high starting torque and high efficiency at nominal operating speed.
Fig. 6 : Circuit board design for electric-field induction motor rotor exhibiting improved rotor dynamics. (a) Front of circuit board, showing discrete resistor and capacitor networks. (b) Back of circuit board, showing rotor electrode vanes.
Parameter
Value
Description
Vexcitation
420V
Excitation amplitude per phase
Ro
28mm
Motor outer active radius
Ri
9mm
Motor inner active radius
RR,o,mech
33mm
Rotor mechanical outer radius
RR,i,mech
8mm
Rotor mechanical inner radius
Δri
1.6mm
Thickness of rotor insulator
TABLE I : Parameters for motor model. Values for G , R0 , R1 , C1 , and Cvane vary, and are described elsewhere.
Rotor #
R0
R1
C1
Cvane
1
300M\SIUnitSymbolOhm
N/A
N/A
0.68pF
2
940M\SIUnitSymbolOhm
N/A
N/A
0.68pF
3
940M\SIUnitSymbolOhm
470M\SIUnitSymbolOhm
1pF
0.68pF
4
940M\SIUnitSymbolOhm
470M\SIUnitSymbolOhm
2pF
0.68pF
5
940M\SIUnitSymbolOhm
470M\SIUnitSymbolOhm
0.3pF
0.68pF
TABLE II : Rotor parameters
Fig. 7 : Rotor admittance as a function of frequency for the rotors tested in this paper with parameters in Table II .
Fig. 8 : Test stand design for electro-quasistatic induction motor with discrete components. (a) Top view showing rotor, stator, and contrast patch for optical speed sensor. (b) Slanted view showing hybrid V-jewel and aerostatic bearing with <0.5\SIUnitSymbolMicroNm of static friction. (c) Side view showing adjustable z-axis stage which changes gap thickness, achieving <200\SIUnitSymbolMicrom gap and accommodating interchangeable test rotors.
Fig. 9 : High voltage amplifier setup for electrostatic motors, with 6 channels of 900V pp linear amplifiers.
Fig. 10 : Load characterization of induction motor using power-off spindown tests.
Fig. 11 : Speed measurements taken for a variety of relative air gap distances between the rotor and the stator, with corresponding torque values using Eq. 16 , for a rotor with 0.94G\SIUnitSymbolOhm resistors at a fixed excitation of 300Hz . The absolute gap values may be calculated using the motor model in Eq. 3 and Eq. 16 , as represented on the plot.
Fig. 12 : Torque as a function of slip frequency, ωs , for a rotor with discrete 0.94G\SIUnitSymbolOhm rotor resistors. Experimental data are given and compared to a model which includes parasitic capacitance between rotor vanes. The limit without parasitic capacitance, where Cpar→0 , represents the continuous rotor conductor case.
Fig. 13 : Steady-state torque plotted as a function of slip frequency, plotted with the model from Section II , III and IV , for a (a) wide (b) narrow frequency range, with a shared legend. Circuits on the rotor enable a balance of high starting torque and high efficiency with a minor decrease to peak torque, adding an additional parameter for electrostatic motor designers.
Fig. 14 : Rotor surface resistance comparison from Nagle [ 29 ] in the solid lines, with “deep bar” options added, shown with the dashed lines.
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Dept. of Aeronautics and Astronautics Massachusetts Institute of Technology Cambridge, USA · Independent Researcher Cambridge, USA · Dept. of Electrical Eng. and Computer Sci. Massachusetts Institute of Technology Cambridge, USA
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Kıvanç Doğan, Ahmet Orhan
Fırat University, Faculty of Engineering, Department of Electrical and Electronics Engineering, Elazığ