CN110633510A - Piezoelectric transducer driving frequency calculation method and system and driving circuit design method - Google Patents
Piezoelectric transducer driving frequency calculation method and system and driving circuit design method Download PDFInfo
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- CN110633510A CN110633510A CN201910794145.6A CN201910794145A CN110633510A CN 110633510 A CN110633510 A CN 110633510A CN 201910794145 A CN201910794145 A CN 201910794145A CN 110633510 A CN110633510 A CN 110633510A
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Abstract
The invention discloses a method for calculating the driving frequency of a piezoelectric transducer, which comprises the steps of collecting the mass and constant speed test results of the piezoelectric transducer; according to the constant speed test result, calculating active power of the piezoelectric transducer under different frequencies; according to the quality, the constant speed test result and the active power, calculating mechanical quality factors of the piezoelectric transducer under different frequencies; and taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer. Corresponding system and piezoelectric transducer driving circuit design method are also disclosed. The method calculates the mechanical quality factors under different frequencies, and realizes the acquisition of the optimal driving frequency through the highest mechanical quality factor; meanwhile, on the basis of the optimal driving frequency, the invention carries out impedance calculation and matching, improves the existing driving circuit, and can reduce the loss of the piezoelectric transducer in the working process, reduce the temperature rise and improve the performance stability.
Description
Technical Field
The invention relates to a method and a system for calculating the driving frequency of a piezoelectric transducer and a method for designing a driving circuit, and belongs to the technical field of piezoelectric transducers.
Background
A piezoelectric transducer is a device that converts high-frequency electric energy into mechanical energy using the piezoelectric effect of a piezoelectric material. Conventional piezoelectric transducer structures (e.g., Langevin transducers) are widely used in transducer structures of piezoelectric actuators (e.g., ultrasonic motors). To achieve maximum amplitude output, piezoelectric transducers typically have a resonant frequency as their operating frequency. However, operating at the resonant frequency results in a piezoelectric transducer with large energy loss and temperature rise, and thus the resonant frequency is not the optimal driving frequency from the viewpoint of reducing loss and improving operation stability. How to obtain the optimal driving frequency of the piezoelectric transducer is an urgent problem to be solved.
Disclosure of Invention
The invention provides a method and a system for calculating the driving frequency of a piezoelectric transducer and a method for designing a driving circuit, which solve the problems disclosed in the background art.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
a piezoelectric transducer driving frequency calculation method includes,
collecting the mass and constant speed test results of the piezoelectric transducer;
according to the constant speed test result, calculating active power of the piezoelectric transducer under different frequencies;
according to the quality, the constant speed test result and the active power, calculating mechanical quality factors of the piezoelectric transducer under different frequencies;
and taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer.
The constant speed test is to test the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic of the piezoelectric transducer under the condition of ensuring the same vibration speed of the piezoelectric transducer.
The calculation formula of the active power is as follows,
wherein P is the active power of the piezoelectric transducer, U and I are the voltage and current of the piezoelectric transducer respectively,is the admittance phase of the piezoelectric transducer.
The mechanical quality factor is calculated by the formula,
wherein Q ismFor mechanical quality factor, f is the frequency of the piezoelectric transducer under test, P is the active power of the piezoelectric transducer, m is the mass of the piezoelectric transducer, vrmsThe vibration speed of the piezoelectric transducer is the vibration speed of the piezoelectric transducer in the constant speed test.
A piezoelectric transducer drive frequency calculation system, comprising,
an acquisition module: collecting the mass and constant speed test results of the piezoelectric transducer;
an active power calculation module: according to the constant speed test result, calculating active power of the piezoelectric transducer under different frequencies;
a mechanical quality factor calculation module: according to the quality, the constant speed test result and the active power, calculating mechanical quality factors of the piezoelectric transducer under different frequencies;
an optimal driving frequency acquisition module: and taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer.
The constant speed test result acquired by the acquisition module comprises the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic of the piezoelectric transducer.
The calculation formula adopted in the active power calculation module is as follows,
wherein P is the active power of the piezoelectric transducer, U and I are the voltage and current of the piezoelectric transducer respectively,is the admittance phase of the piezoelectric transducer.
The calculation formula adopted in the mechanical quality factor calculation module is as follows,
wherein Q ismFor mechanical quality factor, f is the frequency of the piezoelectric transducer under test, P is the active power of the piezoelectric transducer, m is the mass of the piezoelectric transducer, vrmsThe vibration speed of the piezoelectric transducer is the vibration speed of the piezoelectric transducer in the constant speed test.
A piezoelectric transducer driving circuit design method comprises the steps of,
obtaining the optimal driving frequency of the piezoelectric transducer by adopting the method for calculating the driving frequency of the piezoelectric transducer as claimed in any one of claims 1 to 4;
calculating impedance of the piezoelectric transducer under the optimal driving frequency according to an equivalent circuit model of the piezoelectric transducer;
the driving circuit is improved on the basis of impedance matching.
After obtaining the impedance, matching the impedance to make the reactance of the piezoelectric transducer after matching 0.
The invention achieves the following beneficial effects: the method calculates the mechanical quality factors under different frequencies, and realizes the acquisition of the optimal driving frequency through the highest mechanical quality factor; meanwhile, on the basis of the optimal driving frequency, the invention carries out impedance calculation and matching, improves the existing driving circuit, and can reduce the loss of the piezoelectric transducer in the working process, reduce the temperature rise and improve the performance stability.
Drawings
FIG. 1 is a flow chart of drive frequency calculation;
FIG. 2 is a flow chart of the design of the driving circuit;
FIG. 3 is a test chart of a Langevin transducer at constant input power;
figure 4 is a test chart of a Langevin transducer at constant vibration velocity.
Detailed Description
The invention is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
As shown in fig. 1, the piezoelectric transducer driving frequency calculating method includes the following steps:
step 1, collecting the mass and constant speed test results of the piezoelectric transducer.
The constant speed test process is as follows: and under the condition of ensuring that the vibration speeds of the piezoelectric transducers are the same, measuring the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic of the piezoelectric transducers. Thus, step 1 acquires the mass of the electric transducer, the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic.
And 2, calculating active power of the piezoelectric transducer under different frequencies according to the constant speed test result.
The calculation formula of the active power is as follows:
wherein P is the active power of the piezoelectric transducer, U and I are the voltage and current of the piezoelectric transducer respectively,is the admittance phase of the piezoelectric transducer.
And 3, calculating mechanical quality factors of the piezoelectric transducer under different frequencies according to the quality, the constant speed test result and the active power.
The mechanical quality factor is calculated as follows:
wherein Q ismFor mechanical quality factor, f is the frequency of the piezoelectric transducer under test, P is the active power of the piezoelectric transducer, m is the mass of the piezoelectric transducer, vrmsThe vibration speed of the piezoelectric transducer is the vibration speed of the piezoelectric transducer in the constant speed test.
And 4, taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer.
As shown in fig. 2, the piezoelectric transducer driving circuit design method includes the following steps:
and step A1, obtaining the optimal driving frequency of the piezoelectric transducer by adopting the piezoelectric transducer driving frequency calculation method.
Step A2, establishing an equivalent circuit model of the piezoelectric transducer, and calculating the impedance of the piezoelectric transducer under the optimal driving frequency according to the equivalent circuit model of the piezoelectric transducer.
Step A3, matching impedance to make the reactance of the matched piezoelectric transducer be 0.
Step a4, the driving circuit is improved on the basis of impedance matching.
Fig. 3 and 4 are experimental tests on Langevin transducers, wherein fig. 3 shows the vibration speed at constant input power (input power of 15.5mW) compared with the vibration speed at the driving of the resonance frequency and the optimized frequency, and the experimental test results show that the vibration speed can be improved by nearly 1 time by using the driving of the optimized frequency under the same input power. Fig. 4 is a comparison of temperature rise under constant vibration speed (vibration speed of 30mm/s), resonance frequency and optimized frequency drive, and the experimental test result shows that under the same vibration speed, the temperature rise can be reduced by adopting optimized frequency drive, so that the stability of output performance is improved.
The method calculates the mechanical quality factors under different frequencies, realizes the acquisition of the optimal driving frequency through the highest mechanical quality factor, calculates and matches the impedance on the basis of the optimal driving frequency, improves the existing driving circuit, and can reduce the loss, the temperature rise and the performance stability of the piezoelectric transducer in the working process.
A piezoelectric transducer drive frequency calculation system, comprising:
an acquisition module: and collecting the mass and constant speed test results of the piezoelectric transducer.
The constant speed test result acquired by the acquisition module comprises the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic of the piezoelectric transducer.
An active power calculation module: and calculating active power of the piezoelectric transducer under different frequencies according to the constant speed test result.
The calculation formula adopted in the active power calculation module is as follows,
wherein P is the active power of the piezoelectric transducer, U and I are the voltage and current of the piezoelectric transducer respectively,is the admittance phase of the piezoelectric transducer.
A mechanical quality factor calculation module: and calculating the mechanical quality factors of the piezoelectric transducer under different frequencies according to the quality, the constant speed test result and the active power.
The calculation formula adopted in the mechanical quality factor calculation module is as follows,
wherein Q ismFor mechanical quality factor, f is the frequency of the piezoelectric transducer under test, P is the active power of the piezoelectric transducer, m is the mass of the piezoelectric transducer, vrmsThe vibration speed of the piezoelectric transducer is the vibration speed of the piezoelectric transducer in the constant speed test.
An optimal driving frequency acquisition module: and taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer.
A computer readable storage medium storing one or more programs, the one or more programs comprising instructions, which when executed by a computing device, cause the computing device to drive a frequency calculation method with a piezoelectric transducer.
A computing device comprising one or more processors, memory, and one or more programs stored in the memory and configured to be executed by the one or more processors, the one or more programs including instructions for performing a piezoelectric transducer drive frequency calculation method.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The present invention is not limited to the above embodiments, and any modifications, equivalent replacements, improvements, etc. made within the spirit and principle of the present invention are included in the scope of the claims of the present invention which are filed as the application.
Claims (10)
1. The method for calculating the driving frequency of the piezoelectric transducer is characterized by comprising the following steps: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
collecting the mass and constant speed test results of the piezoelectric transducer;
according to the constant speed test result, calculating active power of the piezoelectric transducer under different frequencies;
according to the quality, the constant speed test result and the active power, calculating mechanical quality factors of the piezoelectric transducer under different frequencies;
and taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer.
2. The piezoelectric transducer driving frequency calculation method as claimed in claim 1, characterized in that: the constant speed test was carried out by measuring,
and under the condition of ensuring that the vibration speeds of the piezoelectric transducers are the same, measuring the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic of the piezoelectric transducers.
3. The piezoelectric transducer driving frequency calculation method as claimed in claim 1, characterized in that: the calculation formula of the active power is as follows,
wherein P is the active power of the piezoelectric transducer, U and I are the voltage and current of the piezoelectric transducer respectively,is the admittance phase of the piezoelectric transducer.
4. The piezoelectric transducer driving frequency calculation method as claimed in claim 1, characterized in that: the mechanical quality factor is calculated by the formula,
wherein Q ismFor mechanical quality factor, f is the frequency of the piezoelectric transducer under test, P is the active power of the piezoelectric transducer, m is the mass of the piezoelectric transducer, vrmsThe vibration speed of the piezoelectric transducer is the vibration speed of the piezoelectric transducer in the constant speed test.
5. Piezoelectric transducer drive frequency calculation system characterized by: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
an acquisition module: collecting the mass and constant speed test results of the piezoelectric transducer;
an active power calculation module: according to the constant speed test result, calculating active power of the piezoelectric transducer under different frequencies;
a mechanical quality factor calculation module: according to the quality, the constant speed test result and the active power, calculating mechanical quality factors of the piezoelectric transducer under different frequencies;
an optimal driving frequency acquisition module: and taking the frequency corresponding to the highest mechanical quality factor as the optimal driving frequency of the piezoelectric transducer.
6. The piezoelectric transducer drive frequency calculation system of claim 5, wherein: the constant speed test result acquired by the acquisition module comprises the voltage-frequency characteristic, the current-frequency characteristic and the admittance phase-frequency characteristic of the piezoelectric transducer.
7. The piezoelectric transducer drive frequency calculation system of claim 5, wherein: the calculation formula adopted in the active power calculation module is as follows,
wherein P is the active power of the piezoelectric transducer, U and I are the voltage and current of the piezoelectric transducer respectively,is the admittance phase of the piezoelectric transducer.
8. The piezoelectric transducer drive frequency calculation system of claim 5, wherein: the calculation formula adopted in the mechanical quality factor calculation module is as follows,
wherein Q ismFor mechanical quality factor, f is the frequency of the piezoelectric transducer under test, P is the active power of the piezoelectric transducer, m is the mass of the piezoelectric transducer, vrmsThe vibration speed of the piezoelectric transducer is the vibration speed of the piezoelectric transducer in the constant speed test.
9. The design method of the piezoelectric transducer driving circuit is characterized in that: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
obtaining the optimal driving frequency of the piezoelectric transducer by adopting the method for calculating the driving frequency of the piezoelectric transducer as claimed in any one of claims 1 to 4;
calculating impedance of the piezoelectric transducer under the optimal driving frequency according to an equivalent circuit model of the piezoelectric transducer;
the driving circuit is improved on the basis of impedance matching.
10. The piezoelectric transducer drive circuit design method as claimed in claim 9, wherein: after obtaining the impedance, matching the impedance to make the reactance of the piezoelectric transducer after matching 0.
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
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CN111310399A (en) * | 2020-02-11 | 2020-06-19 | 河海大学 | Method and device for calculating mechanical quality factor of piezoelectric ceramic ring |
CN111504586A (en) * | 2020-05-13 | 2020-08-07 | 吴疆 | System and method for measuring mechanical quality factor of vibrating body |
CN113484374A (en) * | 2021-08-03 | 2021-10-08 | 醴陵华鑫电瓷科技股份有限公司 | Voltage stability testing system for high-low voltage electric porcelain appliance |
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2019
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN111310399A (en) * | 2020-02-11 | 2020-06-19 | 河海大学 | Method and device for calculating mechanical quality factor of piezoelectric ceramic ring |
CN111310399B (en) * | 2020-02-11 | 2022-06-14 | 河海大学 | Method and device for calculating mechanical quality factor of piezoelectric ceramic ring |
CN111504586A (en) * | 2020-05-13 | 2020-08-07 | 吴疆 | System and method for measuring mechanical quality factor of vibrating body |
CN113484374A (en) * | 2021-08-03 | 2021-10-08 | 醴陵华鑫电瓷科技股份有限公司 | Voltage stability testing system for high-low voltage electric porcelain appliance |
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