Systems and methods for reducing the actuation voltage for electrostatic MEMS devices
Systems and methods to amplify the response of a MEMS micro-oscillator by driving the MEMS device at its electrical and mechanical resonance frequencies, simultaneously. This enhances the MEMS mechanical sensitivity to electrical excitation and increases the voltage across the MEMS capacitor. Moreover, using a combination of two input signals at different frequencies (beat signal) may be used to achieve double resonance in any MEMS device, even if its natural frequency is far from its electrical resonance.
1. A method of actuating an electrostatic micro-electro-mechanical system (MEMS) micro-oscillator device, wherein the MEMS device has a natural mechanical resonance frequency and an internal electrical resonance frequency, the method comprising:
driving the MEMS device with a first alternating current (AC) signal; and
simultaneously driving the MEMS device with a second AC signal,
wherein a frequency of the first AC signal is within the 3-db bandwidth of, or substantially the same as, the internal electrical resonance frequency and wherein a difference between the frequency of the first AC signal and a frequency of the second AC signal is near to or substantially the same as the natural mechanical resonance frequency.
2. The method of claim 1 , wherein the MEMS oscillator device includes an electrode arrangement comprising a first electrode and a second electrode arranged parallel to the first electrode, wherein the second electrode is fixed and wherein at least a first end of the first electrode is able to move relative to the second electrode.
3. The method of claim 2 , wherein the natural mechanical resonance frequency ω n =√(k/m), and wherein the internal electrical resonance frequency ω e =1/√{square root over (L s C o ))}, wherein L s is the parasitic inductance of the electrode arrangement, wherein C o is a nominal capacitance of the electrode arrangement, wherein m is an effective mass of the first electrode and wherein k is a linear stiffness of the first electrode.
4. The method of claim 2 , further comprising applying a direct current (DC) signal to the first electrode.
5. A method of actuating an electrostatic micro-electro-mechanical system (MEMS) micro-oscillator device, wherein the MEMS device has a natural mechanical resonance frequency that is near to or substantially the same as an internal electrical resonance frequency of the MEMS device, the method comprising:
driving the MEMS device with a first alternating current (AC) signal, wherein a frequency of the first AC signal is near to or substantially the same as the internal electrical resonance frequency or the natural mechanical resonance frequency.
6. The method of claim 5 , wherein the MEMS oscillator device includes an electrode arrangement comprising a first electrode and a second electrode arranged parallel to the first electrode, wherein the second electrode is fixed and wherein at least a first end of the first electrode is able to move relative to the second electrode.
7. The method of claim 6 , further comprising applying a direct current (DC) signal to the first electrode.