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CN102880198A - Structural vibration semi-active control system based on asymmetrical control circuit - Google Patents

Structural vibration semi-active control system based on asymmetrical control circuit Download PDF

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CN102880198A
CN102880198A CN201210312116XA CN201210312116A CN102880198A CN 102880198 A CN102880198 A CN 102880198A CN 201210312116X A CN201210312116X A CN 201210312116XA CN 201210312116 A CN201210312116 A CN 201210312116A CN 102880198 A CN102880198 A CN 102880198A
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power switch
diode
piezoelectric element
switch tube
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CN102880198B (en
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季宏丽
裘进浩
张锦
袁明
吴义鹏
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Nanjing University of Aeronautics and Astronautics
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Abstract

本发明公开了基于非对称控制电路的结构振动半主动控制系统。所述基于非对称控制电路的结构振动半主动控制系统包括压电驱动单元、非对称控制电路、压电传感单元、系统电路,非对称控制电路由串联连接的二极管、电容,以及并联在二极管两端的开关组成。本发明通过改变系统电路中开关单元的组成,实现SSDI、SSDV技术中压电元件两端电压的非对称翻转,扩大了半主动振动控制中压电元件可选择的范围,对结构振动进行更有效地控制,在结构振动控制中具有广泛地应用前景。

Figure 201210312116

The invention discloses a structure vibration semi-active control system based on an asymmetrical control circuit. The structural vibration semi-active control system based on an asymmetric control circuit includes a piezoelectric drive unit, an asymmetric control circuit, a piezoelectric sensing unit, and a system circuit. The asymmetric control circuit is composed of diodes connected in series, capacitors, and diodes connected in parallel composed of switches at both ends. By changing the composition of the switch unit in the system circuit, the present invention realizes the asymmetric reversal of the voltage at both ends of the piezoelectric element in SSDI and SSDV technologies, expands the selectable range of the piezoelectric element in semi-active vibration control, and more effectively controls the structural vibration. It has a broad application prospect in structural vibration control.

Figure 201210312116

Description

基于非对称控制电路的结构振动半主动控制系统Semi-active Control System of Structural Vibration Based on Asymmetric Control Circuit

技术领域 technical field

本发明涉及结构振动控制系统,尤其是基于非对称控制电路的结构振动半主动控制系统。 The invention relates to a structural vibration control system, in particular to a structural vibration semi-active control system based on an asymmetrical control circuit.

背景技术 Background technique

压电材料的高频响应特性与机电耦合特性使其在结构的智能化和振动控制中得到了广泛地应用。目前,基于压电材料的结构振动控制方法主要可分为三种:主动控制、被动控制和半主动控制。压电半主动控制方法是基于压电主动和被动控制技术发展起来的一种新的振动控制方法,目前正得到广泛地研究。具有代表性的是一种基于非线性同步开关阻尼技术的半主动振动控制方法,这种方法被称为SSD技术(SSD:Synchronized Switch Damping),在电路中串联电感和开关等一些简单的电子元件使得压电元件上的电能被快速消耗或实现电压翻转,从而达到减振的目的。与被动、主动控制方法相比,这种方法的控制系统简单,仅仅开关工作需要外界能量,因此控制所要的外界能量很小,不需要精确的结构振动模型,且控制效果比较稳定,适合于宽频带振动控制,这些使得该方法在结构振动控制方面具有广阔的研究前景。目前,基于非线性同步开关阻尼技术的半主动振动控制方法主要分为四种,短路同步开关阻尼技术(SSDS技术)、电感同步开关阻尼技术(SSDI技术)、电压同步开关阻尼技术(SSDV技术)和负电容同步开关阻尼技术(SSDNC技术)。 The high-frequency response characteristics and electromechanical coupling characteristics of piezoelectric materials make them widely used in the intelligentization of structures and vibration control. At present, the structural vibration control methods based on piezoelectric materials can be mainly divided into three types: active control, passive control and semi-active control. Piezoelectric semi-active control method is a new vibration control method developed based on piezoelectric active and passive control technology, and is currently being widely studied. A representative one is a semi-active vibration control method based on nonlinear synchronous switch damping technology. This method is called SSD technology (SSD: Synchronized Switch Damping), and some simple electronic components such as inductors and switches are connected in series in the circuit. The electric energy on the piezoelectric element is quickly consumed or the voltage is reversed, so as to achieve the purpose of vibration reduction. Compared with passive and active control methods, the control system of this method is simple, and only the external energy is required for the switching operation, so the external energy required for control is very small, does not require an accurate structural vibration model, and the control effect is relatively stable, suitable for broadband With vibration control, these make this method have broad research prospects in structural vibration control. At present, semi-active vibration control methods based on nonlinear synchronous switching damping technology are mainly divided into four types, short-circuit synchronous switching damping technology (SSDS technology), inductive synchronous switching damping technology (SSDI technology), voltage synchronous switching damping technology (SSDV technology) And negative capacitance synchronous switch damping technology (SSDNC technology).

在以往的研究中,对于非线性同步开关阻尼技术的半主动振动控制方法,压电元件两端的电压翻转都是对称的,而对于需要电压非对称翻转的压电元件,例如压电纤维复合材料MFC(MFC:Macro Fiber Composite)等,该方法则有其局限性。 In previous studies, for the semi-active vibration control method of nonlinear synchronous switch damping technology, the voltage reversal at both ends of the piezoelectric element is symmetrical, while for piezoelectric elements that require voltage asymmetrical reversal, such as piezoelectric fiber composites MFC (MFC: Macro Fiber Composite), etc., this method has its limitations.

发明内容 Contents of the invention

本发明所要解决的技术问题是针对上述背景技术的不足,提供了基于非对称控制电路的结构振动半主动控制系统。 The technical problem to be solved by the present invention is to provide a semi-active control system for structural vibration based on an asymmetrical control circuit in view of the deficiency of the above-mentioned background technology.

       本发明为实现上述发明目的采用如下技术方案: The present invention adopts the following technical solutions in order to realize the above-mentioned purpose of the invention:

基于非对称控制电路的结构振动半主动控制系统,包括:压电驱动单元、非对称控制电路、压电传感单元、系统电路;其中,所述压电驱动单元包括至少一个贴设在被控制结构表面的第一压电元件,所述非对称控制电路包括第一二极管、电容、第一功率开关管,所述压电传感单元包括至少一个贴设在被控制结构表面的第二压电元件,所述系统电路包括极值检测单元、电感、开关单元、信号处理单元; A structural vibration semi-active control system based on an asymmetric control circuit, including: a piezoelectric drive unit, an asymmetric control circuit, a piezoelectric sensing unit, and a system circuit; wherein, the piezoelectric drive unit includes at least one The first piezoelectric element on the surface of the structure, the asymmetric control circuit includes a first diode, a capacitor, and a first power switch tube, and the piezoelectric sensing unit includes at least one second sensor attached to the surface of the controlled structure. The piezoelectric element, the system circuit includes an extremum detection unit, an inductor, a switch unit, and a signal processing unit;

所述非对称控制电路中:第一二极管的一极与第一压电元件连接,另一极与电容的一端连接;所述电容的另一端与第一压电元件连接,所述第一功率开关管并连在第一二极管两端,所述电感的一端与第一压电元件的输出端连接,另一端与开关单元的一端连接,开关单元的另一端与第一压电元件的输入端连接;所述极值检测单元的输入端与第二压电元件连接,输出端与开关单元连接;所述信号处理单元输入端接极值检测单元的输出信号、第一压电元件产生的电压信号,输出端与第一功率开关管的控制极连接。 In the asymmetric control circuit: one pole of the first diode is connected to the first piezoelectric element, and the other pole is connected to one end of the capacitor; the other end of the capacitor is connected to the first piezoelectric element, and the first piezoelectric element is connected to the other end of the capacitor. A power switch tube is connected in parallel to both ends of the first diode, one end of the inductor is connected to the output end of the first piezoelectric element, the other end is connected to one end of the switch unit, and the other end of the switch unit is connected to the first piezoelectric element The input end of the element is connected; the input end of the extremum detection unit is connected to the second piezoelectric element, and the output end is connected to the switch unit; the input end of the signal processing unit is connected to the output signal of the extremum detection unit, the first piezoelectric element The output end of the voltage signal generated by the element is connected to the control electrode of the first power switch tube.

所述基于非对称控制电路的结构振动半主动控制系统中,开关单元包括:第二二极管、第三二极管、第二功率开关管、第三功率开关管;其中: In the structural vibration semi-active control system based on an asymmetric control circuit, the switch unit includes: a second diode, a third diode, a second power switch tube, and a third power switch tube; wherein:

所述第二二极管的阳极与第三二极管的阴极连接,阴极与第二功率开关管的一端连接;所述第二功率开关管的另一端与第三功率开关管的一端连接,所述第三功率开关管的另一端与第三二极管的阳极连接。 The anode of the second diode is connected to the cathode of the third diode, and the cathode is connected to one end of the second power switch tube; the other end of the second power switch tube is connected to one end of the third power switch tube, The other end of the third power switch tube is connected to the anode of the third diode.

所述基于非对称控制电路的结构振动半主动控制系统中,开关单元包括:第二二极管、第三二极管、第二功率开关管、第三功率开关管、第一电压源、第二电压源;其中: In the structural vibration semi-active control system based on an asymmetric control circuit, the switch unit includes: a second diode, a third diode, a second power switch tube, a third power switch tube, a first voltage source, a second Two voltage sources; where:

所述第二二极管的阳极与第三二极管的阴极连接,阴极与第二功率开关管的一端连接;所述第二功率开关管的另一端与第一电压源负极连接;所述第一电压源的正极与第二电压源负极连接;所述第二电压源正极与第三功率开关管的一端连接,所述第三功率开关管的另一端与第三二极管的阳极连接。 The anode of the second diode is connected to the cathode of the third diode, and the cathode is connected to one end of the second power switch tube; the other end of the second power switch tube is connected to the negative pole of the first voltage source; the The anode of the first voltage source is connected to the cathode of the second voltage source; the anode of the second voltage source is connected to one end of the third power switch tube, and the other end of the third power switch tube is connected to the anode of the third diode .

本发明采用上述技术方案,具有以下有益效果:本发明利用在压电元件两端并联非对称控制电路,实现压电元件两端电压的非对称翻转,扩大了半主动振动控制中压电元件可选择的范围,从而能够对结构振动进行更有效地控制,在结构振动控制中具有广泛地应用前景。 The present invention adopts the above-mentioned technical scheme and has the following beneficial effects: the present invention utilizes an asymmetrical control circuit connected in parallel at both ends of the piezoelectric element to realize the asymmetric reversal of the voltage at both ends of the piezoelectric element, and expands the possibilities of the piezoelectric element in semi-active vibration control. The selected range, so that the structural vibration can be controlled more effectively, and has a wide application prospect in structural vibration control.

附图说明 Description of drawings

图1为基于非对称控制电路的结构振动半主动控制系统的示意图。 Figure 1 is a schematic diagram of a semi-active control system for structural vibration based on an asymmetric control circuit.

图2为具体实施例一的电路图。 FIG. 2 is a circuit diagram of the first embodiment.

图3为实施例一被控结构振动位移、电压与速度曲线图。 Fig. 3 is a curve diagram of vibration displacement, voltage and velocity of the controlled structure in Embodiment 1.

图4为具体实施例二的电路图。 FIG. 4 is a circuit diagram of the second embodiment.

图5为实施例二被控结构振动位移、电压与速度曲线图。      Fig. 5 is a curve diagram of vibration displacement, voltage and speed of the controlled structure in the second embodiment. ``

图中标号说明:M1、M2为第一、第二压电元件,K1为开关单元,L为电感,C为电容,D1-D3为第一至第三二极管,S1-S3为第一至第三功率开关管,U1、U2为第一、第二直流电压源,1为压电驱动单元,2为非对称控制电路,3为压电传感单元。 Explanation of symbols in the figure: M1 and M2 are the first and second piezoelectric elements, K1 is the switch unit, L is the inductance, C is the capacitor, D1-D3 are the first to third diodes, S1-S3 are the first To the third power switch tube, U1 and U2 are the first and second DC voltage sources, 1 is the piezoelectric driving unit, 2 is the asymmetric control circuit, and 3 is the piezoelectric sensing unit.

具体实施方式 Detailed ways

下面结合附图对发明的技术方案进行详细说明: Below in conjunction with accompanying drawing, the technical scheme of invention is described in detail:

如图1所示的基于非对称控制电路的结构振动半主动控制系统,包括:压电驱动单元1、非对称控制电路2、压电传感单元3、系统电路。压电驱动单元1包括至少一个贴设在被控制结构表面的第一压电元件M1,非对称控制电路2包括第一二极管D1、电容C、第一功率开关管S1,压电传感单元3包括至少一个贴设在被控制结构表面的第二压电元件M2,系统电路包括极值检测单元、电感L、开关单元K1、信号处理单元。第一二极管D1、电容C组成的串联支路并联在第一压电元件M1的两端,第一功率开关管S1并连在第一二极管D1两端,电感L的一端与第一压电元件M1的输出端连接,另一端与开关单元K1的一端连接,开关单元K1的另一端与第一压电元件M1的输入端连接;极值检测单元的输入端与第二压电元件M2连接,输出端与开关单元连接;信号处理单元的输入端接极值检测单元的输出信号、第一压电元件(M1)产生的电压信号,输出端与第一功率开关管S1的控制极连接。极值检测单元为振动位移检测装置以及计算机测量系统,信号处理单元为开关触发电路。振动位移检测装置将结构振动位移转换为传感信号,计算机测量系统监测传感信号的极值点,方开关触发电路方波信号以产生功率开关管的门极控制信号。 The structural vibration semi-active control system based on the asymmetric control circuit shown in Fig. 1 includes: a piezoelectric drive unit 1, an asymmetric control circuit 2, a piezoelectric sensing unit 3, and a system circuit. The piezoelectric drive unit 1 includes at least one first piezoelectric element M1 attached to the surface of the controlled structure, and the asymmetric control circuit 2 includes a first diode D1, a capacitor C, a first power switch S1, and a piezoelectric sensor Unit 3 includes at least one second piezoelectric element M2 attached to the surface of the structure to be controlled, and the system circuit includes an extremum detection unit, an inductor L, a switch unit K1, and a signal processing unit. The series branch composed of the first diode D1 and the capacitor C is connected in parallel to both ends of the first piezoelectric element M1, the first power switch tube S1 is connected in parallel to both ends of the first diode D1, and one end of the inductor L is connected to the first piezoelectric element M1. The output end of a piezoelectric element M1 is connected, the other end is connected with one end of the switch unit K1, the other end of the switch unit K1 is connected with the input end of the first piezoelectric element M1; the input end of the extremum detection unit is connected with the second piezoelectric element The component M2 is connected, and the output terminal is connected to the switch unit; the input terminal of the signal processing unit is connected to the output signal of the extreme value detection unit, the voltage signal generated by the first piezoelectric element (M1), and the output terminal is connected to the control of the first power switch tube S1 pole connection. The extreme value detection unit is a vibration displacement detection device and a computer measurement system, and the signal processing unit is a switch trigger circuit. The vibration displacement detection device converts the structural vibration displacement into a sensor signal, the computer measurement system monitors the extreme point of the sensor signal, and the square switch triggers the square wave signal of the circuit to generate the gate control signal of the power switch tube.

当结构发生振动时,预先布置在结构上的第一压电元件M1和第二压电元件M2上将产生由于结构振动感应的电压信号,并且由于两个压电片布置在相同的位置,因此能够感应相同的振动电压信号。第一压电元件M1作为振动控制的驱动器,第二压电元件M2作为振动控制电路中的传感器。当结构振动的位移达到极值时,结构振动的位移极值检测装置将向开关输出控制信号,回路中的开关迅速闭合,由于第一压电元件M1一般可以等效为一个电容器,那么开关闭合的同时压电元件与回路中的电感L将发生LC高频共振,当共振振荡半个周期时迅速断开开关,此时第一压电元件M1上的电压与开关闭合前反向,加入非对称控制电路之后,由于第一二极管的作用,被控结构振动时产生的能量只能单向地对电容充电,保持第一开关断开,仅在第一压电元件M1两端电压由负的极值变为0或第一压电元件M1两端电压由正的极值变为0(第一二极管反向接入电路时)的时间里,闭合第一功率开关管S1,可以实现第一压电元件M1两端电压的非对称翻转。当开关单元K1开关断开之后,第一压电元件M1上产生的电压与结构振动的位移同相位,当结构振动的位移再次达到极值时,再合上开关,高频振荡半个周期后断开开关。周而复始的控制第一功率开关管S1和开关单元K1的运动,使得第一压电元件M1上产生的电压始终与结构振动的速度方向反向,从而达到振动控制的目的。 When the structure vibrates, the first piezoelectric element M1 and the second piezoelectric element M2 pre-arranged on the structure will generate a voltage signal due to the vibration induction of the structure, and since the two piezoelectric sheets are arranged at the same position, therefore Capable of sensing the same vibrating voltage signal. The first piezoelectric element M1 is used as a driver for vibration control, and the second piezoelectric element M2 is used as a sensor in the vibration control circuit. When the displacement of the structural vibration reaches the extreme value, the detection device for the extreme value of the structural vibration will output a control signal to the switch, and the switch in the loop is quickly closed. Since the first piezoelectric element M1 can generally be equivalent to a capacitor, the switch is closed At the same time, the piezoelectric element and the inductance L in the loop will undergo LC high-frequency resonance. When the resonance oscillates for half a cycle, the switch is quickly disconnected. At this time, the voltage on the first piezoelectric element M1 is reversed from that before the switch is closed. After the symmetrical control circuit, due to the action of the first diode, the energy generated when the controlled structure vibrates can only charge the capacitor in one direction, keep the first switch off, and only when the voltage across the first piezoelectric element M1 is changed by During the time when the negative extreme value becomes 0 or the voltage across the first piezoelectric element M1 changes from the positive extreme value to 0 (when the first diode is reversely connected to the circuit), the first power switch S1 is closed, Asymmetric reversal of the voltage at both ends of the first piezoelectric element M1 can be realized. When the switch unit K1 is turned off, the voltage generated on the first piezoelectric element M1 is in phase with the displacement of the structural vibration. When the displacement of the structural vibration reaches the extreme value again, the switch is turned on again, and after half a period of high-frequency oscillation Turn off the switch. The movement of the first power switch tube S1 and the switch unit K1 is controlled repeatedly so that the voltage generated on the first piezoelectric element M1 is always opposite to the direction of the structural vibration velocity, thereby achieving the purpose of vibration control.

鉴于SSDS方法、SSDNC技术不涉及电压的翻转,本发明仅对SSDI、SSDV的电压翻转做举例说明。 In view of the fact that the SSDS method and the SSDNC technology do not involve voltage reversal, the present invention only illustrates the voltage reversal of SSDI and SSDV.

具体实施例一: Specific embodiment one:

如图2所示,基于非对称控制电路的结构振动半主动控制系统包括:压电驱动单元1、非对称控制电路2、压电传感单元3、系统电路。压电驱动单元1包括至少一个贴设在被控制结构表面的第一压电元件M1,非对称控制电路2包括第一二极管D1、电容C、第一功率开关管S1,压电传感单元3包括至少一个贴设在被控制结构表面的第二压电元件M2,系统电路包括极值检测单元、电感L、开关单元K1、信号处理单元。第一二极管D1的阴极与第一压电元件M1连接,阳极与电容C一端连接,电容C的另一端与第一压电元件M1连接,第一功率开关管S1并连在第一二极管D1两端,电感L的一端与第一压电元件M1的输出端连接,另一端与开关单元K1的一端连接,开关单元K1的另一端与第一压电元件M1的输入端连接;极值检测单元的输入端与第二压电元件M2连接,输出端与开关单元连接;信号处理单元的输入端与极值检测单元的输出端连接,输出端与第一功率开关管S1的控制极连接。此外,第一二极管D1与电容C还可以这样连接:第一二极管D1的阳极与第一压电元件M1连接,阴极与电容C一端连接。 As shown in Figure 2, the structural vibration semi-active control system based on the asymmetric control circuit includes: a piezoelectric drive unit 1, an asymmetric control circuit 2, a piezoelectric sensing unit 3, and a system circuit. The piezoelectric drive unit 1 includes at least one first piezoelectric element M1 attached to the surface of the controlled structure, and the asymmetric control circuit 2 includes a first diode D1, a capacitor C, a first power switch S1, and a piezoelectric sensor Unit 3 includes at least one second piezoelectric element M2 attached to the surface of the structure to be controlled, and the system circuit includes an extremum detection unit, an inductor L, a switch unit K1, and a signal processing unit. The cathode of the first diode D1 is connected to the first piezoelectric element M1, the anode is connected to one end of the capacitor C, the other end of the capacitor C is connected to the first piezoelectric element M1, and the first power switch tube S1 is connected to the first two At both ends of the pole tube D1, one end of the inductance L is connected to the output end of the first piezoelectric element M1, the other end is connected to one end of the switch unit K1, and the other end of the switch unit K1 is connected to the input end of the first piezoelectric element M1; The input end of the extreme value detection unit is connected to the second piezoelectric element M2, and the output end is connected to the switch unit; the input end of the signal processing unit is connected to the output end of the extreme value detection unit, and the output end is connected to the control of the first power switch tube S1 pole connection. In addition, the first diode D1 and the capacitor C can also be connected in this way: the anode of the first diode D1 is connected to the first piezoelectric element M1, and the cathode is connected to one end of the capacitor C.

开关单元K1包括:第二二极管D2、第三二极管D3、第二功率开关管S2、第三功率开关管S3。其中:第二二极管D2的阳极与第三二极管D3的阴极连接,阴极与第二功率开关管S2的一端连接;第二功率开关管S2的另一端与第三功率开关管S3的一端连接,第三功率开关管S3的另一端与第三二极管D3的阳极连接。第二二极管D2的阳极与第三二极管D3阴极的连接点即为开关单元K1与电感L连接的端子,第二功率开关管S2与第三功率开关管S3的连接点即为开关单元K1与第一压电元件M1连接的端子。 The switch unit K1 includes: a second diode D2, a third diode D3, a second power switch S2, and a third power switch S3. Wherein: the anode of the second diode D2 is connected to the cathode of the third diode D3, and the cathode is connected to one end of the second power switch tube S2; the other end of the second power switch tube S2 is connected to the third power switch tube S3 One end is connected, and the other end of the third power switch tube S3 is connected to the anode of the third diode D3. The connection point between the anode of the second diode D2 and the cathode of the third diode D3 is the terminal connecting the switch unit K1 to the inductor L, and the connection point between the second power switch tube S2 and the third power switch tube S3 is the switch A terminal to which the unit K1 is connected to the first piezoelectric element M1.

具体实例一可实现非对称SSDI技术,并且电压翻转值正向绝对值较大,负向绝对值较小,具体实施例一被控结构振动位移、电压和速度曲线图如图3所示。 Specific example 1 can realize asymmetric SSDI technology, and the positive absolute value of the voltage reversal value is relatively large, and the negative absolute value is small. Specific embodiment 1 The vibration displacement, voltage and velocity curves of the controlled structure are shown in FIG. 3 .

具体实施例一的控制过程:当悬臂梁的位移由负的极大值变为正的极大值过程中,第一、第二、第三功率开关管S1、S2、S3均断开,第一压电元件M1处于正向充电状态,第一二极管D1处于截止状态,电容C未处于充电状态,第一压电元件M1两端电压逐渐达到正的极值,电容C两端电压不变;当位移达到正的极大值时,第二功率开关管S2闭合,第一、第三功率开关管S1、S3断开,第一二极管D1和第二二极管D2导通,第一压电元件M1与电感L构成高频谐振回路,第一压电元件M1两端电压逐渐变为负值并达到绝对值最大,电容C处于正向充电状态,两端电压逐渐达到极大值;LC振荡半个周期后,第一、第二、第三功率开关管S1、S2、S3均断开,第一压电元件M1处于反向充电状态,第一二极管D1导通,电容C处于正向充电状态,第一压电元件M1两端电压逐渐达到反向极大值,电容C两端电压逐渐达到正向最大值;当位移达到负的极大值时,第一、第三功率开关管S1、S3闭合,第二功率开关管S2断开,第三二极管D3导通,第一压电元件M1与电感L构成高频谐振回路,同时第一压电元件M1对电容C进行反向充电,电容C上电荷逐渐被中和,电压趋于稳定值,第一压电元件M1两端电压逐渐变为0;当压电元件两端电压变为0时,第三功率开关管S3闭合,第一、第二功率开关管S1,S2均断开,第三二极管D3导通,第一压电元件M1与电感L构成高频谐振回路,压电元件两端电压逐渐变大,达到最大值时断开第三功率开关管S3,电容C两端电压维持不变。 The control process of specific embodiment 1: when the displacement of the cantilever beam changes from a negative maximum value to a positive maximum value, the first, second, and third power switch tubes S1, S2, and S3 are all turned off, and the first A piezoelectric element M1 is in the forward charging state, the first diode D1 is in the cut-off state, and the capacitor C is not in the charging state. The voltage across the first piezoelectric element M1 gradually reaches the positive extreme value, and the voltage across the capacitor C is not change; when the displacement reaches the positive maximum value, the second power switch S2 is closed, the first and third power switches S1 and S3 are turned off, the first diode D1 and the second diode D2 are turned on, The first piezoelectric element M1 and the inductance L form a high-frequency resonant circuit, the voltage at both ends of the first piezoelectric element M1 gradually becomes negative and reaches the maximum absolute value, the capacitor C is in a positive charging state, and the voltage at both ends gradually reaches a maximum value; after half a cycle of LC oscillation, the first, second, and third power switch tubes S1, S2, and S3 are all disconnected, the first piezoelectric element M1 is in a reverse charging state, and the first diode D1 is turned on. Capacitor C is in the positive charging state, the voltage across the first piezoelectric element M1 gradually reaches the reverse maximum value, and the voltage across capacitor C gradually reaches the positive maximum value; when the displacement reaches the negative maximum value, the first, The third power switch tubes S1 and S3 are closed, the second power switch tube S2 is turned off, the third diode D3 is turned on, the first piezoelectric element M1 and the inductor L form a high-frequency resonant circuit, and the first piezoelectric element M1 The capacitor C is reversely charged, the charge on the capacitor C is gradually neutralized, the voltage tends to a stable value, and the voltage at both ends of the first piezoelectric element M1 gradually becomes 0; when the voltage at both ends of the piezoelectric element becomes 0, the second The three power switch tube S3 is closed, the first and second power switch tubes S1 and S2 are both off, the third diode D3 is turned on, the first piezoelectric element M1 and the inductor L form a high-frequency resonant circuit, and the two piezoelectric elements The terminal voltage gradually increases, and when it reaches the maximum value, the third power switch S3 is turned off, and the voltage across the capacitor C remains unchanged.

具体实施例二: Specific embodiment two:

如图4所示,基于非对称控制电路的结构振动半主动控制系统包括:压电驱动单元1、非对称控制电路2、压电传感单元3、系统电路。压电驱动单元1包括至少一个贴设在被控制结构表面的第一压电元件M1,非对称控制电路2包括第一二极管D1、电容C、第一功率开关管S1,压电传感单元3包括至少一个贴设在被控制结构表面的第二压电元件M2,系统电路包括极值检测单元、电感L、开关单元K1、信号处理单元。第一二极管D1的阳极与第一压电元件M1连接,阴极与电容C一端连接,电容C的另一端与第一压电元件M1连接,第一功率开关管S1并连在第一二极管D1两端,电感L的一端与第一压电元件M1的输出端连接,另一端与开关单元K1的一端连接,开关单元K1的另一端与第一压电元件M1的输入端连接;极值检测单元的输入端与第二压电元件M2连接,输出端与开关单元连接;信号处理单元的输入端与极值检测单元的输出端连接,输出端与第一功率开关管S1的控制极连接。此外,第一二极管D1与电容C还可以这样连接:第一二极管D1的阴极与第一压电元件M1连接,阳极与电容C一端连接。 As shown in Figure 4, the structural vibration semi-active control system based on the asymmetric control circuit includes: a piezoelectric drive unit 1, an asymmetric control circuit 2, a piezoelectric sensing unit 3, and a system circuit. The piezoelectric drive unit 1 includes at least one first piezoelectric element M1 attached to the surface of the controlled structure, and the asymmetric control circuit 2 includes a first diode D1, a capacitor C, a first power switch S1, and a piezoelectric sensor Unit 3 includes at least one second piezoelectric element M2 attached to the surface of the structure to be controlled, and the system circuit includes an extremum detection unit, an inductor L, a switch unit K1, and a signal processing unit. The anode of the first diode D1 is connected to the first piezoelectric element M1, the cathode is connected to one end of the capacitor C, the other end of the capacitor C is connected to the first piezoelectric element M1, and the first power switch tube S1 is connected to the first two At both ends of the pole tube D1, one end of the inductance L is connected to the output end of the first piezoelectric element M1, the other end is connected to one end of the switch unit K1, and the other end of the switch unit K1 is connected to the input end of the first piezoelectric element M1; The input end of the extreme value detection unit is connected to the second piezoelectric element M2, and the output end is connected to the switch unit; the input end of the signal processing unit is connected to the output end of the extreme value detection unit, and the output end is connected to the control of the first power switch tube S1 pole connection. In addition, the first diode D1 and the capacitor C can also be connected in this way: the cathode of the first diode D1 is connected to the first piezoelectric element M1, and the anode is connected to one end of the capacitor C.

开关单元K1包括:第二二极管D2、第三二极管D3、第二功率开关管S2、第三功率开关管S3、第一电压源U1、第二电压源U2。第二二极管D2的阳极与第三二极管D3的阴极连接,阴极与第二功率开关管S2的一端连接;第二功率开关管S2的另一端与第一电压源U1负极连接;第一电压源U1的正极与第二电压源U2负极连接;第二电压源U2正极与第三功率开关管S3的一端连接,第三功率开关管S3的另一端与第三二极管D3的阳极连接。第二二极管D2的阳极与第三二极管D3阴极的连接点即为开关单元K1与电感L连接的端子,第一电压源U1正极与第二电压源U2负极的连接点即为开关单元K1与第一压电元件M1连接的端子。 The switch unit K1 includes: a second diode D2, a third diode D3, a second power switch S2, a third power switch S3, a first voltage source U1, and a second voltage source U2. The anode of the second diode D2 is connected to the cathode of the third diode D3, and the cathode is connected to one end of the second power switch tube S2; the other end of the second power switch tube S2 is connected to the negative pole of the first voltage source U1; The anode of a voltage source U1 is connected to the cathode of the second voltage source U2; the anode of the second voltage source U2 is connected to one end of the third power switch S3, and the other end of the third power switch S3 is connected to the anode of the third diode D3 connect. The connection point between the anode of the second diode D2 and the cathode of the third diode D3 is the terminal where the switch unit K1 is connected to the inductor L, and the connection point between the positive pole of the first voltage source U1 and the negative pole of the second voltage source U2 is the switch A terminal to which the unit K1 is connected to the first piezoelectric element M1.

具体实例二可实现非对称SSDV技术,并且电压翻转值负向绝对值较大,正向绝对值较小,具体实施例一被控结构振动位移、电压和速度曲线图如图5所示。 Specific example 2 can realize asymmetric SSDV technology, and the negative absolute value of the voltage reversal value is larger, and the positive absolute value is smaller.

具体实施例二的控制过程:当悬臂梁的位移由正的极大值变为负的极大值过程中,第一、第二、第三功率开关管S1、S2、S3均断开,第一压电元件M1处于反向充电状态,第一二极管D1处于截止状态,电容C未处于充电状态,第一压电元件M1两端电压逐渐达到负的极值,电容C两端电压不变;当位移达到负的极大值时,第三功率开关管S3闭合,第一、第二功率开关管S1、S2断开,第一二极管D1和第三二极管D3导通,第一压电元件M1与电感L构成高频谐振回路,第一压电元件M1两端电压逐渐变为正值并达到绝对值最大,电容C处于反向充电状态,两端电压逐渐达到极大值;LC振荡半个周期后,第一、第二、第三功率开关管S1、S2、S3均断开,第一压电元件M1处于正向充电状态,第一二极管D1导通,电容C处于反向充电状态,第一压电元件M1两端电压逐渐达到正向极大值,电容C两端电压逐渐达到反向最大值;当位移达到正的极大值时,第一、第二功率开关管S1、S2闭合,第三功率开关管S3断开,第二二极管D2导通,第一压电元件M1与电感L构成高频谐振回路,同时第一压电元件M1对电容C进行正向充电,电容C上电荷逐渐被中和,电压趋于稳定值,第一压电元件M1两端电压逐渐变为0;当压电元件两端电压变为0时,第二功率开关管S2闭合,第一、第三功率开关管S1,S3均断开,第二二极管D2导通,第一压电元件M1与电感L构成高频谐振回路,压电元件两端电压逐渐变大,达到最大值时断开第二功率开关管开关S2,电容C两端电压维持不变。 The control process of the second specific embodiment: when the displacement of the cantilever beam changes from a positive maximum value to a negative maximum value, the first, second, and third power switch tubes S1, S2, and S3 are all disconnected, and the first A piezoelectric element M1 is in a reverse charging state, the first diode D1 is in a cut-off state, and the capacitor C is not in a charging state, the voltage at both ends of the first piezoelectric element M1 gradually reaches a negative extreme value, and the voltage at both ends of the capacitor C is constant. change; when the displacement reaches the negative maximum value, the third power switch S3 is closed, the first and second power switch S1, S2 are turned off, the first diode D1 and the third diode D3 are turned on, The first piezoelectric element M1 and the inductance L form a high-frequency resonant circuit, the voltage at both ends of the first piezoelectric element M1 gradually becomes positive and reaches the maximum absolute value, the capacitor C is in a state of reverse charging, and the voltage at both ends gradually reaches a maximum value; after half a period of LC oscillation, the first, second, and third power switch tubes S1, S2, and S3 are all disconnected, the first piezoelectric element M1 is in a forward charging state, and the first diode D1 is turned on. Capacitor C is in the state of reverse charging, the voltage at both ends of the first piezoelectric element M1 gradually reaches the positive maximum value, and the voltage at both ends of the capacitor C gradually reaches the reverse maximum value; when the displacement reaches the positive maximum value, the first, The second power switch tubes S1 and S2 are closed, the third power switch tube S3 is turned off, the second diode D2 is turned on, the first piezoelectric element M1 and the inductor L form a high-frequency resonant circuit, and the first piezoelectric element M1 The capacitor C is positively charged, the charge on the capacitor C is gradually neutralized, the voltage tends to a stable value, and the voltage at both ends of the first piezoelectric element M1 gradually becomes 0; when the voltage at both ends of the piezoelectric element becomes 0, the second The second power switch tube S2 is closed, the first and third power switch tubes S1 and S3 are both off, the second diode D2 is turned on, the first piezoelectric element M1 and the inductor L form a high-frequency resonant circuit, and the two piezoelectric elements The terminal voltage gradually increases, and when it reaches the maximum value, the second power switch S2 is turned off, and the voltage across the capacitor C remains unchanged.

综上所述,本发明所述的基于非对称控制电路的结构振动半主动控制系统利用在压电元件两端并联非对称控制电路,实现压电元件两端电压的非对称翻转,扩大了半主动振动控制中压电元件可选择的范围,从而能够对结构振动进行更有效地控制,在结构振动控制中具有广泛地应用前景。 To sum up, the structural vibration semi-active control system based on the asymmetric control circuit of the present invention utilizes the parallel connection of the asymmetric control circuit at both ends of the piezoelectric element to realize the asymmetric reversal of the voltage at both ends of the piezoelectric element, expanding the semi-active The optional range of piezoelectric elements in active vibration control can control structural vibration more effectively, and has a wide application prospect in structural vibration control.

Claims (3)

1.基于非对称控制电路的结构振动半主动控制系统,其特征在于包括:压电驱动单元(1)、非对称控制电路(2)、压电传感单元(3)、系统电路;其中,所述压电驱动单元(1)包括至少一个贴设在被控制结构表面的第一压电元件(M1),所述非对称控制电路(2)包括第一二极管(D1)、电容(C)、第一功率开关管(S1),所述压电传感单元(3)包括至少一个贴设在被控制结构表面的第二压电元件(M2),所述系统电路包括极值检测单元、电感(L)、开关单元(K1)、信号处理单元; 1. A structural vibration semi-active control system based on an asymmetric control circuit, characterized in that it includes: a piezoelectric drive unit (1), an asymmetric control circuit (2), a piezoelectric sensing unit (3), and a system circuit; wherein, The piezoelectric drive unit (1) includes at least one first piezoelectric element (M1) attached to the surface of the controlled structure, and the asymmetric control circuit (2) includes a first diode (D1), a capacitor ( C), the first power switch tube (S1), the piezoelectric sensing unit (3) includes at least one second piezoelectric element (M2) attached to the surface of the controlled structure, and the system circuit includes extreme value detection Unit, inductor (L), switch unit (K1), signal processing unit; 所述非对称控制电路(2)中:第一二极管(D1)的一极与第一压电元件*(M1)连接,另一极与电容(C)的一端连接;所述电容(C)的另一端与第一压电元件(M1)连接,所述第一功率开关管(S1)并连在第一二极管(D1)两端,所述电感(L)的一端与第一压电元件(M1)的输出端连接,另一端与开关单元(K1)的一端连接,开关单元(K1)的另一端与第一压电元件(M1)的输入端连接;所述极值检测单元的输入端与第二压电元件(M2)连接,输出端与开关单元连接;所述信号处理单元输入端接极值检测单元的输出信号、第一压电元件(M1)产生的电压信号,输出端与第一功率开关管(S1)的控制极连接。 In the asymmetric control circuit (2): one pole of the first diode (D1) is connected to the first piezoelectric element * (M1), and the other pole is connected to one end of the capacitor (C); the capacitor ( C) The other end is connected to the first piezoelectric element (M1), the first power switch tube (S1) is connected to both ends of the first diode (D1), and one end of the inductor (L) is connected to the first The output end of a piezoelectric element (M1) is connected, the other end is connected with one end of the switch unit (K1), and the other end of the switch unit (K1) is connected with the input end of the first piezoelectric element (M1); the extremum The input end of the detection unit is connected to the second piezoelectric element (M2), and the output end is connected to the switch unit; the input end of the signal processing unit is connected to the output signal of the extremum detection unit and the voltage generated by the first piezoelectric element (M1) signal, and the output terminal is connected to the control pole of the first power switch tube (S1). 2.根据权利要求1所述的基于非对称控制电路的结构振动半主动控制系统,其特征在于所述开关单元(K1)包括:第二二极管(D2)、第三二极管(D3)、第二功率开关管(S2)、第三功率开关管(S3);其中: 2. The structural vibration semi-active control system based on an asymmetric control circuit according to claim 1, characterized in that the switch unit (K1) includes: a second diode (D2), a third diode (D3 ), the second power switch tube (S2), and the third power switch tube (S3); where: 所述第二二极管(D2)的阳极与第三二极管(D3)的阴极连接,阴极与第二功率开关管(S2)的一端连接;所述第二功率开关管(S2)的另一端与第三功率开关管(S3)的一端连接,所述第三功率开关管(S3)的另一端与第三二极管(D3)的阳极连接。 The anode of the second diode (D2) is connected to the cathode of the third diode (D3), and the cathode is connected to one end of the second power switch tube (S2); the second power switch tube (S2) The other end is connected to one end of the third power switch tube (S3), and the other end of the third power switch tube (S3) is connected to the anode of the third diode (D3). 3.根据权利要求1所述的基于非对称控制电路的结构振动半主动控制系统,其特征在于所述开关单元(K1)包括:第二二极管(D2)、第三二极管(D3)、第二功率开关管(S2)、第三功率开关管(S3)、第一电压源(U1)、第二电压源(U2);其中: 3. The structural vibration semi-active control system based on an asymmetric control circuit according to claim 1, characterized in that the switch unit (K1) includes: a second diode (D2), a third diode (D3 ), the second power switch tube (S2), the third power switch tube (S3), the first voltage source (U1), and the second voltage source (U2); among them: 所述第二二极管(D2)的阳极与第三二极管(D3)的阴极连接,阴极与第二功率开关管(S2)的一端连接;所述第二功率开关管(S2)的另一端与第一电压源(U1)负极连接;所述第一电压源(U1)的正极与第二电压源(U2)负极连接;所述第二电压源(U2)正极与第三功率开关管(S3)的一端连接,所述第三功率开关管(S3)的另一端与第三二极管(D3)的阳极连接。 The anode of the second diode (D2) is connected to the cathode of the third diode (D3), and the cathode is connected to one end of the second power switch tube (S2); the second power switch tube (S2) The other end is connected to the negative pole of the first voltage source (U1); the positive pole of the first voltage source (U1) is connected to the negative pole of the second voltage source (U2); the positive pole of the second voltage source (U2) is connected to the third power switch One end of the tube (S3) is connected, and the other end of the third power switch tube (S3) is connected to the anode of the third diode (D3).
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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103199830A (en) * 2013-03-08 2013-07-10 西北工业大学 Self-sensing impressed voltage source type synchronous switch damping circuit
CN104181947A (en) * 2014-07-28 2014-12-03 南京航空航天大学 Semi-active vibration noise control circuit of asymmetric voltage structure
US9267824B1 (en) 2015-02-02 2016-02-23 Goodrich Corporation Sensor systems
CN109324645A (en) * 2018-11-21 2019-02-12 南京航空航天大学 Asymmetric semi-active control system and method
US10378934B2 (en) 2015-02-02 2019-08-13 Goodrich Corporation Sensor systems
CN115328227A (en) * 2022-08-29 2022-11-11 南京航空航天大学 Structural vibration semi-active control device

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2001084893A1 (en) * 2000-05-03 2001-11-08 Intel Corporation Circuit card assembly having controlled vibrational properties
CN101414192A (en) * 2008-11-10 2009-04-22 南京航空航天大学 Structure vibration and noise control device without outside energy supply
CN101446834A (en) * 2008-12-04 2009-06-03 北京航空航天大学 Real-time controlling system of intelligent active vibration isolation unit
CN101488033A (en) * 2008-12-12 2009-07-22 南京航空航天大学 Structural vibration and noise control device based on energy recovery
CN101561026A (en) * 2009-05-19 2009-10-21 南京航空航天大学 Structural vibration and noise control device based on piezoelectric energy recovery

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2001084893A1 (en) * 2000-05-03 2001-11-08 Intel Corporation Circuit card assembly having controlled vibrational properties
CN101414192A (en) * 2008-11-10 2009-04-22 南京航空航天大学 Structure vibration and noise control device without outside energy supply
CN101446834A (en) * 2008-12-04 2009-06-03 北京航空航天大学 Real-time controlling system of intelligent active vibration isolation unit
CN101488033A (en) * 2008-12-12 2009-07-22 南京航空航天大学 Structural vibration and noise control device based on energy recovery
CN101561026A (en) * 2009-05-19 2009-10-21 南京航空航天大学 Structural vibration and noise control device based on piezoelectric energy recovery

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103199830A (en) * 2013-03-08 2013-07-10 西北工业大学 Self-sensing impressed voltage source type synchronous switch damping circuit
CN104181947A (en) * 2014-07-28 2014-12-03 南京航空航天大学 Semi-active vibration noise control circuit of asymmetric voltage structure
CN104181947B (en) * 2014-07-28 2017-01-11 南京航空航天大学 Semi-active vibration noise control circuit of asymmetric voltage structure
US9267824B1 (en) 2015-02-02 2016-02-23 Goodrich Corporation Sensor systems
US10378934B2 (en) 2015-02-02 2019-08-13 Goodrich Corporation Sensor systems
US11215483B2 (en) 2015-02-02 2022-01-04 Goodrich Corporation Sensor systems
CN109324645A (en) * 2018-11-21 2019-02-12 南京航空航天大学 Asymmetric semi-active control system and method
CN109324645B (en) * 2018-11-21 2019-11-12 南京航空航天大学 An asymmetric semi-active control system and method
CN115328227A (en) * 2022-08-29 2022-11-11 南京航空航天大学 Structural vibration semi-active control device
CN115328227B (en) * 2022-08-29 2023-04-28 南京航空航天大学 A semi-active control device for structural vibration

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