CN106549649B - N-type heavily doped oven controlled oscillator and oven control method thereof - Google Patents
N-type heavily doped oven controlled oscillator and oven control method thereof Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及传感器领域,特别是涉及一种N型重掺杂恒温控制振荡器及其恒温控制方法。The invention relates to the field of sensors, in particular to an N-type heavily doped constant temperature controlled oscillator and a constant temperature control method thereof.
背景技术Background technique
振荡器是数字电子系统中提供时钟频率的基本元件,几乎在所有电子系统中均需使用。在现代通讯系统中,由于频率资源有限而用户众多,对振荡器的稳定性提出了极高要求。GSM手机要求振荡器的全温区频率稳定性在±2.5ppm以内,而移动基站要求振荡器的稳定性在±0.05ppm以内。Oscillators are the basic components that provide clock frequency in digital electronic systems, and are required in almost all electronic systems. In modern communication systems, due to the limited frequency resources and many users, extremely high requirements are placed on the stability of the oscillator. The GSM mobile phone requires the oscillator's full-temperature frequency stability to be within ±2.5ppm, while the mobile base station requires the oscillator's stability to be within ±0.05ppm.
长期以来,石英晶体谐振器一直是电子系统中提供时钟频率信号的主要元件,其性能稳定,温度特性好。但是,石英振荡器难以集成,受机械加工手段限制难以制作高频振荡器,并且抗震性能较差,难以满足未来移动智能设备的需求。For a long time, the quartz crystal resonator has been the main component that provides the clock frequency signal in the electronic system, and its performance is stable and the temperature characteristic is good. However, quartz oscillators are difficult to integrate, and it is difficult to manufacture high-frequency oscillators due to the limitation of mechanical processing methods, and the anti-vibration performance is poor, making it difficult to meet the needs of future mobile smart devices.
硅基振荡器是采用微机电技术(MEMS)技术制作的新一代振荡器,其谐振特性优异,便于与集成电路集成,可实现GHz量级的振荡频率输出,并且可耐受高冲击环境。Silicon-based oscillators are a new generation of oscillators made with micro-electromechanical technology (MEMS) technology. They have excellent resonant characteristics, are easy to integrate with integrated circuits, can achieve GHz-level oscillation frequency output, and can withstand high shock environments.
硅基振荡器必须解决的一个主要问题是频率的温度补偿。振荡器的频率稳定性要求极高,例如3级钟要求在-40~85℃范围内长期稳定性优于4.6ppm。但是另一方面,单晶硅扬氏模量的温度系数高达-56ppm/℃,引起的频率温度系数高达-30ppm/℃。作为比较,未补偿的AC-cut石英谐振结构在-40~85℃范围内频率温度系数在26ppm左右。硅的全温区频率温度系数比石英大两个数量级以上。高达-30ppm/℃的频率温度系数极大增加了温度补偿的难度。美国斯坦福大学Kenny等人在2010年研制了一种恒温控制MEMS振荡器,利用MEMS谐振结构热容量低的特点,只需要mW量级的功耗即可将谐振结构恒温在90℃,有望实现低功耗的温度补偿。但是,由于硅频率温度系数高达-30ppm/℃,为了实现1ppm的温度稳定性(3E级钟),必须保证全温区内谐振结构恒定温度波动小于0.033℃,其实现难度极高。A major issue that silicon-based oscillators must address is temperature compensation of frequency. The frequency stability of the oscillator is extremely required. For example, the long-term stability of the 3rd-level clock is required to be better than 4.6ppm in the range of -40 to 85°C. But on the other hand, the temperature coefficient of Young's modulus of single crystal silicon is as high as -56ppm/°C, resulting in a temperature coefficient of frequency as high as -30ppm/°C. As a comparison, the uncompensated AC-cut quartz resonant structure has a frequency temperature coefficient of about 26 ppm in the range of -40 to 85 °C. The temperature coefficient of frequency in the full temperature range of silicon is more than two orders of magnitude larger than that of quartz. The frequency temperature coefficient as high as -30ppm/°C greatly increases the difficulty of temperature compensation. In 2010, Kenny et al. of Stanford University developed a thermostatically controlled MEMS oscillator. Taking advantage of the low heat capacity of the MEMS resonant structure, the resonant structure can be kept at a constant temperature of 90°C with only a power consumption of the order of mW, which is expected to achieve low power consumption. temperature compensation for consumption. However, since the temperature coefficient of silicon frequency is as high as -30ppm/°C, in order to achieve a temperature stability of 1ppm (3E-class clock), it is necessary to ensure that the constant temperature fluctuation of the resonant structure within the full temperature range is less than 0.033°C, which is extremely difficult to achieve.
近年来出现重掺杂无源补偿技术通过直接降低硅杨氏模量的温度系数、从而降低谐振结构的频率温度系数,是实现低功耗高稳定硅振荡器的重要方法。In recent years, the heavily doped passive compensation technology can directly reduce the temperature coefficient of silicon Young's modulus, thereby reducing the frequency temperature coefficient of the resonant structure. It is an important method to realize low power consumption and high stability of silicon oscillator.
重掺杂无源补偿是通过P型或N型重掺杂直接改变单晶硅杨氏模量温度系数的技术,实验表明该方法对谐振结构的Q值几乎没有影响,是目前最有希望的无源补偿技术。Heavily doped passive compensation is a technology that directly changes the temperature coefficient of Young's modulus of single crystal silicon through P-type or N-type heavy doping. Experiments show that this method has little effect on the Q value of the resonant structure, and is currently the most promising. Passive compensation technology.
重掺杂改变半导体杨氏模量温度系数的效应是一种载流子再分布效应。早在上世纪60年代Keyes等人就对该效应的理论作了较详细的研究,建立了基于能带理论的模型。Keyes等人的模型表明,沿某些特定晶向的应变会使简并半导体能带边界相对位置发生变化,造成载流子在不同能带中发生再分布,而载流子的再分布降低了应变引起的弹性势能,从而影响了杨氏模量。该效应的产生机制与压阻效应相似,与晶向、掺杂类型密切相关,而与具体的杂质离子关系不大。半导体中,某些晶向上的应变会造成能带边界相对位置发生变化,则这些晶向存在压阻效应,同时掺杂对这些晶向的杨氏模量也存在显著影响。而某些晶向上的应变只会造成各能带的整体偏移而不会改变能带边界相对位置,载流子不发生再分布,则这些晶向上没有明显的压阻效应,掺杂对这些晶向的杨氏模量也没有明显的影响。1967年,Hall等人通过测量半导体中的声速得到了掺杂浓度为2×1019/cm3的N型硅刚性系数随掺杂浓度的变化,杨氏模量可由刚性系数张量直接计算得到。长期以来,由于硅杨氏模量的掺杂效应并没有具体的应用,相关研究未获得进一步发展。The effect of heavy doping on changing the temperature coefficient of Young's modulus of semiconductors is a carrier redistribution effect. As early as the 1960s, Keyes et al. made a detailed study on the theory of this effect and established a model based on the energy band theory. The model of Keyes et al. shows that strain along some specific crystallographic directions changes the relative positions of the band boundaries of degenerate semiconductors, resulting in a redistribution of charge carriers in different energy bands, while the redistribution of charge carriers decreases Strain-induced elastic potential energy, which affects Young's modulus. The generation mechanism of this effect is similar to the piezoresistive effect, which is closely related to the crystal orientation and doping type, but has little to do with the specific impurity ions. In semiconductors, the relative position of the energy band boundary will change due to the strain in some crystallographic orientations, so there is a piezoresistive effect in these crystallographic orientations, and doping also has a significant effect on the Young's modulus of these crystallographic orientations. However, the strain on some crystal directions will only cause the overall shift of each energy band without changing the relative position of the energy band boundary, and the carriers will not be redistributed, so there is no obvious piezoresistive effect in these crystal directions. The Young's modulus of the crystal orientation also has no significant effect. In 1967, Hall et al. obtained the variation of the stiffness coefficient of N-type silicon with a doping concentration of 2×10 19 /cm 3 with the doping concentration by measuring the speed of sound in a semiconductor. The Young’s modulus can be directly calculated from the stiffness coefficient tensor. . For a long time, because the doping effect of Young's modulus of silicon has no specific application, the related research has not been further developed.
发明内容SUMMARY OF THE INVENTION
鉴于以上所述现有技术的缺点,本发明的目的在于提供一种N型重掺杂恒温控制振荡器及其恒温控制方法,用于解决现有技术中由于硅基振荡器具有高达-30ppm/℃的频率温度系数而导致的频率的温度补偿比较困难的问题。In view of the above-mentioned shortcomings of the prior art, the purpose of the present invention is to provide an N-type heavily doped oven-controlled oscillator and an oven-controlled control method thereof, which are used to solve the problems in the prior art because the silicon-based oscillator has up to -30ppm/ The temperature compensation of the frequency caused by the frequency temperature coefficient of ℃ is more difficult.
为实现上述目的及其他相关目的,本发明提供一种N型重掺杂恒温控制振荡器,所述N型重掺杂恒温控制振荡器包括:谐振结构、锚点、加热梁及温度传感器;In order to achieve the above object and other related objects, the present invention provides an N-type heavily doped oven-controlled oscillator, the N-type heavily doped oven-controlled oscillator includes: a resonance structure, an anchor point, a heating beam and a temperature sensor;
所述谐振结构包括N型重掺杂纵向振动梁及第一电极;所述第一电极位于所述N型重掺杂纵向振动梁的两端;所述N型重掺杂纵向振动梁及所述第一电极均沿单晶硅<100>晶向族方向分布;The resonant structure includes an N-type heavily doped longitudinal vibration beam and a first electrode; the first electrodes are located at both ends of the N-type heavily doped longitudinal vibration beam; the N-type heavily doped longitudinal vibration beam and the The first electrodes are all distributed along the direction of the monocrystalline silicon <100> crystal orientation group;
所述锚点位于所述谐振结构的两侧,且与所述谐振结构间隔一定的距离;The anchor points are located on both sides of the resonant structure and are spaced apart from the resonant structure by a certain distance;
所述加热梁贯穿所述N型重掺杂纵向振动梁,且所述加热梁的两端分别位于所述锚点内;the heating beam penetrates the N-type heavily doped longitudinal vibration beam, and two ends of the heating beam are respectively located in the anchor point;
所述温度传感器位于所述锚点表面。The temperature sensor is located on the anchor surface.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述N型重掺杂纵向振动梁的数量为两根,所述两根N型重掺杂纵向振动梁平行间隔排布;所述第一电极将所述两根N型重掺杂纵向振动梁相连接。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the number of the N-type heavily doped longitudinal vibration beams is two, and the two N-type heavily doped longitudinal vibration beams are arranged in parallel and spaced apart. cloth; the first electrode connects the two N-type heavily doped longitudinal vibration beams.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述N型重掺杂纵向振动梁中N型重掺杂的浓度大于1019/cm3。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the N-type heavily doped concentration in the N-type heavily doped vertical vibration beam is greater than 10 19 /cm 3 .
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述加热梁的中点与所述谐振结构的中点相重合。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the midpoint of the heating beam coincides with the midpoint of the resonant structure.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述加热梁包括单晶硅层、第一绝缘层、加热电阻及第二电极;所述单晶硅层、所述第一绝缘层及所述加热电阻由下至上依次堆叠,所述第二电极位于所述加热电阻两端的表面。As a preferred solution of the N-type heavily doped oven controlled oscillator of the present invention, the heating beam includes a single crystal silicon layer, a first insulating layer, a heating resistor and a second electrode; the single crystal silicon layer, the The first insulating layer and the heating resistor are stacked sequentially from bottom to top, and the second electrodes are located on the surfaces of both ends of the heating resistor.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述单晶硅层、所述锚点及所述第一电极均为N型重掺杂结构,且所述单晶硅层、所述锚点、所述N型重掺杂纵向振动梁及所述第一电极为一体化结构。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the single crystal silicon layer, the anchor point and the first electrode are all N-type heavily doped structures, and the single crystal silicon layer, the anchor point and the first electrode are all N-type heavily doped structures, and the single crystal silicon layer The silicon layer, the anchor point, the N-type heavily doped longitudinal vibration beam and the first electrode are an integrated structure.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述N型重掺杂恒温控制振荡器还包括第三电极,所述第三电极位于所述锚点内,所述谐振结构通过所述第三电极实现电学引出。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the N-type heavily doped oven-controlled oscillator further includes a third electrode, the third electrode is located in the anchor point, and the The resonant structure is electrically extracted through the third electrode.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述N型重掺杂恒温控制振荡器还包括衬底及第二绝缘层,所述锚点通过所述第二绝缘层固连于所述衬底的表面上;所述衬底的表面与所述谐振结构及所述加热梁的下表面具有一定的间距。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the N-type heavily doped oven-controlled oscillator further includes a substrate and a second insulating layer, and the anchor point passes through the second insulating layer. The layer is fixed on the surface of the substrate; the surface of the substrate has a certain distance from the resonant structure and the lower surface of the heating beam.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述温度传感器包括温度敏感电阻、第四电极及第三绝缘层;所述温度敏感电阻通过所述第三绝缘层与所述锚点固连,且通过所述第四电极实现电学引出。As a preferred solution of the N-type heavily doped oven controlled oscillator of the present invention, the temperature sensor includes a temperature-sensitive resistor, a fourth electrode and a third insulating layer; the temperature-sensitive resistor is connected to the temperature-sensitive resistor through the third insulating layer. The anchor point is fixed, and electrical extraction is achieved through the fourth electrode.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述温度传感器包括温敏二极管。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the temperature sensor includes a temperature-sensitive diode.
作为本发明的N型重掺杂恒温控制振荡器的一种优选方案,所述N型重掺杂恒温控制振荡器封装于真空环境中。As a preferred solution of the N-type heavily doped oven-controlled oscillator of the present invention, the N-type heavily doped oven-controlled oscillator is packaged in a vacuum environment.
本发明还提供一种N型重掺杂恒温控制振荡器的恒温控制方法,所述恒温控制方法包括:The present invention also provides a constant temperature control method for an N-type heavily doped constant temperature controlled oscillator, the constant temperature control method comprising:
利用N型重掺杂将沿<100>晶向族方向分布的谐振结构的频率温度系数过零点调整到略大于工作温区;The zero-crossing point of the frequency temperature coefficient of the resonant structure distributed along the <100> crystal direction group is adjusted to be slightly larger than the working temperature region by N-type heavy doping;
通过恒温控制将所述沿<100>晶向族方向分布的谐振结构的工作温度控制在频率温度系数过零点,实现高温度稳定性的硅基振荡器。The operating temperature of the resonant structure distributed along the <100> crystal direction group direction is controlled at the zero-crossing point of the frequency temperature coefficient through constant temperature control, thereby realizing a silicon-based oscillator with high temperature stability.
作为本发明的N型重掺杂恒温控制振荡器的恒温控制方法的一种优选方案,通过恒温控制将所述沿<100>晶向族方向分布的谐振结构的工作温度控制在频率温度系数过零点的具体方法为:As a preferred solution of the constant temperature control method of the N-type heavily doped constant temperature controlled oscillator of the present invention, the operating temperature of the resonant structure distributed along the <100> crystal direction group direction is controlled to a temperature over the frequency temperature coefficient through constant temperature control. The specific method of zero point is:
利用加热梁将所述谐振结构支撑起来;所述谐振结构中点与所述加热梁的中点相重合;The resonant structure is supported by a heating beam; the midpoint of the resonant structure coincides with the midpoint of the heating beam;
在所述加热梁上通电流使所述加热梁中点处的温度达到<100>晶向频率温度系数过零点,以实现恒温控制。Passing current on the heating beam makes the temperature at the midpoint of the heating beam reach the zero-crossing point of the frequency temperature coefficient of the <100> crystal orientation, so as to realize constant temperature control.
作为本发明的N型重掺杂恒温控制振荡器的恒温控制方法的一种优选方案,所述加热梁包括加热电阻,所述加热梁的两端设有锚点,所述锚点上设有温度传感器;在所述加热梁上通电流以实现恒温控制的具体方法为:As a preferred solution of the constant temperature control method of the N-type heavily doped constant temperature controlled oscillator of the present invention, the heating beam includes a heating resistor, and both ends of the heating beam are provided with anchor points, and the anchor points are provided with Temperature sensor; the specific method of passing current on the heating beam to realize constant temperature control is:
通过所述温度传感器测量所述锚点处的温度Ta,由预先确定的工作温度Tt和Ta通过公式:The temperature T a at the anchor point is measured by the temperature sensor, and the predetermined operating temperatures T t and T a pass the formula:
P=β(Tt-Ta)P=β(T t −T a )
计算得到加热功率;式中,β为加热梁尺寸和热导率的函数;Calculate the heating power; in the formula, β is a function of the size of the heating beam and the thermal conductivity;
并由所述加热电阻的平均阻值得到加热电压Vt,在所述加热梁上施加所述加热电压Vt即可实现恒温控制。The heating voltage V t is obtained from the average resistance value of the heating resistor, and the constant temperature control can be realized by applying the heating voltage V t on the heating beam.
作为本发明的N型重掺杂恒温控制振荡器的恒温控制方法的一种优选方案,所述加热梁包括加热电阻,所述加热梁的两端设有锚点,所述锚点上设有温度传感器;在所述加热梁上通电流以实现恒温控制的具体方法为:As a preferred solution of the constant temperature control method of the N-type heavily doped constant temperature controlled oscillator of the present invention, the heating beam includes a heating resistor, and both ends of the heating beam are provided with anchor points, and the anchor points are provided with Temperature sensor; the specific method of passing current on the heating beam to realize constant temperature control is:
通过所述温度传感器测量所述锚点处的温度Ta,在所述加热梁上施加加热电流,同时测量所述加热梁的电阻Rr;所述加热梁的电阻Rr满足公式:The temperature Ta at the anchor point is measured by the temperature sensor, a heating current is applied to the heating beam, and the resistance R r of the heating beam is measured at the same time; the resistance R r of the heating beam satisfies the formula:
Rr=Rr0+Rr0α((1-γ)Tm+γTa+Tt)R r =R r0 +R r0 α((1-γ)T m +γT a +T t )
式中,Rr0为所述加热梁在工作温度时的电阻值,α为所述加热梁的一阶温度系数,Tm为所述加热梁中点处的实际温度,γ的数值由加热梁决定;In the formula, R r0 is the resistance value of the heating beam at the working temperature, α is the first-order temperature coefficient of the heating beam, T m is the actual temperature at the midpoint of the heating beam, and the value of γ is determined by the heating beam. Decide;
利用上述公式得到所述加热梁中点处温度Tm与所述锚点处的温度Ta的差值ΔT,通过反馈算法将ΔT减至最小实现谐振结构温度的反馈控制即可实现恒温控制。The above formula is used to obtain the difference ΔT between the temperature T m at the midpoint of the heating beam and the temperature Ta at the anchor point, and the constant temperature control can be achieved by reducing ΔT to a minimum through a feedback algorithm to achieve feedback control of the resonant structure temperature.
如上所述,本发明的N型重掺杂恒温控制振荡器及其恒温控制方法,具有以下有益效果:沿<100>晶向族的N型重掺杂结构的频率温度系数存在过零点,频率温度系数过零点的温度由掺杂浓度决定;通过调整N型掺杂浓度,可以使<100>晶向族谐振频率温度系数过零点略高于振荡器工作温区的上限;设置贯穿谐振结构的加热梁,在所述加热梁上通电流即可实现恒温控制,使得所述N型重掺杂恒温控制振荡器具有较好的性能稳定性及较好温度特性。As mentioned above, the N-type heavily doped oven-controlled oscillator and the oven-controlled method thereof of the present invention have the following beneficial effects: the frequency temperature coefficient of the N-type heavily doped structure along the <100> crystal orientation family has a zero-crossing point, and the frequency The temperature of the zero-crossing point of the temperature coefficient is determined by the doping concentration; by adjusting the N-type doping concentration, the zero-crossing point of the temperature coefficient of the resonant frequency of the <100> crystal orientation family can be slightly higher than the upper limit of the operating temperature region of the oscillator; The heating beam can realize constant temperature control by passing a current on the heating beam, so that the N-type heavily doped constant temperature controlled oscillator has better performance stability and better temperature characteristics.
附图说明Description of drawings
图1显示为本发明的N型重掺杂恒温控制振荡器的立体结构示意图。FIG. 1 is a schematic three-dimensional structure diagram of an N-type heavily doped oven-controlled oscillator of the present invention.
图2显示为本发明的N型重掺杂恒温控制振荡器的俯视结构示意图。FIG. 2 is a schematic top view of the structure of the N-type heavily doped oven controlled oscillator of the present invention.
图3显示为本发明的N型重掺杂恒温控制振荡器中谐振结构的工作振型示意图。FIG. 3 is a schematic diagram showing the working mode shape of the resonant structure in the N-type heavily doped oven controlled oscillator of the present invention.
图4显示本发明的N型重掺杂恒温控制振荡器的恒温控制方法的流程图。FIG. 4 shows a flow chart of the constant temperature control method of the N-type heavily doped constant temperature controlled oscillator of the present invention.
元件标号说明Component label description
10 谐振结构10 Resonant structure
101 N型重掺杂纵向振动梁101 N-type heavily doped longitudinal vibration beam
102 第一电极102 first electrode
11 加热梁11 Heated beam
111 单晶硅层111 Monocrystalline silicon layer
112 第一绝缘层112 first insulating layer
113 加热电阻113 Heating resistance
12 锚点12 Anchors
13 温度传感器13 Temperature sensor
131 温度敏感电阻131 Temperature sensitive resistor
132 第四电极132 Fourth electrode
133 第三绝缘层133 Third insulating layer
14 第二电极14 Second electrode
15 第三电极15 Third electrode
16 衬底16 Substrate
17 第二绝缘层17 Second insulating layer
具体实施方式Detailed ways
以下通过特定的具体实例说明本发明的实施方式,本领域技术人员可由本说明书所揭露的内容轻易地了解本发明的其他优点与功效。本发明还可以通过另外不同的具体实施方式加以实施或应用,本说明书中的各项细节也可以基于不同观点与应用,在没有背离本发明的精神下进行各种修饰或改变。The embodiments of the present invention are described below through specific specific examples, and those skilled in the art can easily understand other advantages and effects of the present invention from the contents disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments, and various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of the present invention.
请参阅图1至图4需要说明的是,本实施例中所提供的图示仅以示意方式说明本发明的基本构想,虽图示中仅显示与本发明中有关的组件而非按照实际实施时的组件数目、形状及尺寸绘制,其实际实施时各组件的型态、数量及比例可为一种随意的改变,且其组件布局型态也可能更为复杂。Please refer to FIG. 1 to FIG. 4. It should be noted that the diagrams provided in this embodiment are only for illustrating the basic concept of the present invention in a schematic way, although the diagrams only show the components related to the present invention rather than actual implementation. The number, shape and size of the components are drawn at the time, and the type, number and proportion of each component can be arbitrarily changed in actual implementation, and the layout of the components may also be more complicated.
实施例一Example 1
请参阅图1至图2,本发明提供一种N型重掺杂恒温控制振荡器,所述N型重掺杂恒温控制振荡器包括:谐振结构10、锚点12、加热梁11及温度传感器13;Please refer to FIG. 1 to FIG. 2 , the present invention provides an N-type heavily doped oven-controlled oscillator. The N-type heavily doped oven-controlled oscillator includes: a resonant structure 10 , an anchor point 12 , a heating beam 11 and a temperature sensor 13;
所述谐振结构10包括N型重掺杂纵向振动梁101及第一电极102;所述第一电极102位于所述N型重掺杂纵向振动梁101的两端;所述N型重掺杂纵向振动梁101及所述第一电极102均沿单晶硅<100>晶向族方向分布;所述锚点12位于所述谐振结构10的两侧,且与所述谐振结构10间隔一定的距离;所述加热梁11贯穿所述N型重掺杂纵向振动梁101,且所述加热梁11的两端分别位于所述锚点12内;所述温度传感器13位于所述锚点12表面,具体的,所述温度传感器13位于所述N型重掺杂纵向振动梁101任意一侧的所述锚点12上。The resonant structure 10 includes an N-type heavily doped longitudinal vibration beam 101 and a first electrode 102; the first electrode 102 is located at both ends of the N-type heavily doped longitudinal vibration beam 101; the N-type heavily doped longitudinal vibration beam 101 The longitudinal vibration beam 101 and the first electrode 102 are distributed along the monocrystalline silicon <100> crystal direction; the anchor points 12 are located on both sides of the resonance structure 10 and are spaced from the resonance structure 10 by a certain distance. distance; the heating beam 11 runs through the N-type heavily doped longitudinal vibration beam 101 , and the two ends of the heating beam 11 are respectively located in the anchor point 12 ; the temperature sensor 13 is located on the surface of the anchor point 12 Specifically, the temperature sensor 13 is located on the anchor point 12 on either side of the N-type heavily doped longitudinal vibration beam 101 .
作为示例,所述N型重掺杂纵向振动梁101及所述第一电极102均沿单晶硅<100>晶向族方向分布具体可为:所述谐振结构10可以采用(100)硅片制作,所述N型重掺杂纵向振动梁101可以沿(001)晶面上[100]晶向,而所述第一电极102可以沿(100)晶面上[010]晶向。沿<100>晶向族的N型重掺杂结构的频率温度系数存在过零点,频率温度系数过零点的温度由掺杂浓度决定;通过调整N型掺杂浓度,可以使<100>晶向谐振频率温度系数过零点略高于振荡器工作温区的上限。As an example, the N-type heavily doped longitudinal vibration beam 101 and the first electrode 102 are distributed along the monocrystalline silicon <100> crystal direction. Specifically, the resonant structure 10 may use a (100) silicon wafer. During manufacture, the N-type heavily doped vertical vibration beam 101 may be along the [100] crystallographic orientation on the (001) crystal plane, and the first electrode 102 may be along the [010] crystallographic orientation on the (100) crystallographic plane. The frequency temperature coefficient of the N-type heavily doped structure along the <100> crystal orientation family has a zero-crossing point, and the temperature of the frequency temperature coefficient zero-crossing point is determined by the doping concentration; by adjusting the N-type doping concentration, the <100> crystal orientation can be made. The zero-crossing point of the temperature coefficient of the resonant frequency is slightly higher than the upper limit of the operating temperature range of the oscillator.
作为示例,如图1及图2所示,所述N型重掺杂纵向振动梁101的数量可以为但不仅限于两根,所述两根N型重掺杂纵向振动梁101平行间隔排布;所述第一电极102将所述两根N型重掺杂纵向振动梁101相连接。As an example, as shown in FIG. 1 and FIG. 2 , the number of the N-type heavily doped longitudinal vibration beams 101 may be but not limited to two, and the two N-type heavily doped longitudinal vibration beams 101 are arranged in parallel and spaced apart ; The first electrode 102 connects the two N-type heavily doped longitudinal vibration beams 101 .
作为示例,所述N型重掺杂纵向振动梁101中N型重掺杂的浓度可以根据实际需要进行设定,优选地,本实施例中所述N型重掺杂纵向振动梁101中N型重掺杂的浓度应大于1019/cm3。As an example, the concentration of N-type heavy doping in the N-type heavily doped vertical vibration beam 101 can be set according to actual needs. Preferably, the N-type heavily doped vertical vibration beam 101 in this embodiment The concentration of type heavy doping should be greater than 10 19 /cm 3 .
作为示例,所述加热梁11的中点与所述谐振结构10的中点相重合,即所述加热梁11与所述N型重掺杂纵向振动梁101的连接点为所述N型重掺杂纵向振动梁101的中点,以图1至图2为示例,此时所述加热梁11的中心位于所述两根N型重掺杂纵向振动梁101的中点之间的中心处。所述加热梁11与所述N型重掺杂纵向振动梁101的连接点位于所述N型重掺杂纵向振动梁101的纵向拉伸模态位移最小的点,即位于所述N型重掺杂纵向振动梁101的中点处,使得因此所述加热梁11对所述谐振结构10工作振型的影响最小。As an example, the midpoint of the heating beam 11 coincides with the midpoint of the resonant structure 10 , that is, the connection point between the heating beam 11 and the N-type heavily doped longitudinal vibration beam 101 is the N-type heavily doped longitudinal vibration beam 101 . The midpoint of the doped longitudinal vibration beam 101 is taken as an example in FIG. 1 to FIG. 2 , at this time the center of the heating beam 11 is located at the center between the midpoints of the two N-type heavily doped longitudinal vibration beams 101 . The connection point between the heating beam 11 and the N-type heavily doped longitudinal vibration beam 101 is located at the point where the longitudinal tensile modal displacement of the N-type heavily doped longitudinal vibration beam 101 is the smallest, that is, at the N-type heavily doped longitudinal vibration beam 101 . The midpoint of the longitudinal vibration beam 101 is doped so that the influence of the heating beam 11 on the working mode shape of the resonant structure 10 is minimal.
作为示例,所述加热梁11包括单晶硅层111、第一绝缘层112及加热电阻113;所述单晶硅层111、所述第一绝缘层112及所述加热电阻113由下至上依次堆叠;所述单晶硅层111与所述两根N型重掺杂纵向振动梁101电学导通。所述加热梁11两端设有第二电极14,在所述第二电极14上施加电压,可对所述加热梁11及所述谐振结构10加热。所述加热电阻113用于所述加热梁11的恒温控制,恒温加热功率P与所述两根N型重掺杂纵向振动梁101中点温度Tt、锚点温度Ta间满足公式:As an example, the heating beam 11 includes a single crystal silicon layer 111 , a first insulating layer 112 and a heating resistor 113 ; the single crystal silicon layer 111 , the first insulating layer 112 and the heating resistor 113 are in order from bottom to top stacking; the single crystal silicon layer 111 is electrically connected to the two N-type heavily doped vertical vibration beams 101 . Two ends of the heating beam 11 are provided with second electrodes 14 , and a voltage is applied to the second electrodes 14 to heat the heating beam 11 and the resonant structure 10 . The heating resistor 113 is used for the constant temperature control of the heating beam 11, and the constant temperature heating power P and the midpoint temperature T t and the anchor point temperature T a of the two N-type heavily doped longitudinal vibration beams 101 satisfy the formula:
P=β(Tt-Ta)P=β(T t −T a )
式中,β为加热梁尺寸和热导率的函数;当加热梁为均质矩形截面梁时,上式中的β满足公式:In the formula, β is a function of the size and thermal conductivity of the heating beam; when the heating beam is a homogeneous rectangular section beam, β in the above formula satisfies the formula:
β=8kbh/Lβ=8kbh/L
式中,k为所述加热梁11的热导率,b、h和L分别为所述加热梁11的宽度、厚度和长度。在实际结构中,β通过实际实验决定。In the formula, k is the thermal conductivity of the heating beam 11 , and b, h and L are the width, thickness and length of the heating beam 11 , respectively. In the actual structure, β is determined by actual experiments.
作为示例,所述单晶硅层111、所述锚点12及所述第一电极102均为N型重掺杂结构,且所述单晶硅层111、所述锚点12、所述N型重掺杂纵向振动梁101及所述第一电极102为一体化结构,即所述单晶硅层111、所述锚点12、所述N型重掺杂纵向振动梁101及所述第一电极102可以通过刻蚀同一单晶硅材料层而获得。As an example, the single crystal silicon layer 111 , the anchor point 12 and the first electrode 102 are all N-type heavily doped structures, and the single crystal silicon layer 111 , the anchor point 12 , the N-type heavily doped structure The N-type heavily doped vertical vibration beam 101 and the first electrode 102 are an integrated structure, that is, the single crystal silicon layer 111 , the anchor point 12 , the N-type heavily doped vertical vibration beam 101 and the first electrode 102 . An electrode 102 can be obtained by etching the same single crystal silicon material layer.
作为示例,所述N型重掺杂恒温控制振荡器还包括第三电极15,所述第三电极15的数量为两个,分别位于所述谐振结构10两侧的两个所述锚点12内,所述谐振结构10通过所述第三电极15实现电学引出。需要说明的是,所述第三电极15的结构并不仅限于图1及图2所示,可以根据实际结构需要进行设定,例如,对于电容检测式振荡器,所述两个第三电极15可以短接作为一个电极使用。As an example, the N-type heavily doped oven controlled oscillator further includes two third electrodes 15 , and the number of the third electrodes 15 is two, which are respectively located at the two anchor points 12 on both sides of the resonant structure 10 . Inside, the resonant structure 10 is electrically extracted through the third electrode 15 . It should be noted that the structure of the third electrodes 15 is not limited to those shown in FIG. 1 and FIG. 2 , and can be set according to actual structural needs. For example, for a capacitance detection oscillator, the two third electrodes 15 Can be used as an electrode by short circuit.
作为示例,所述N型重掺杂恒温控制振荡器还包括衬底16及第二绝缘层17,所述锚点12通过所述第二绝缘层17固连于所述衬底16的表面上;所述衬底16的表面与所述谐振结构10及所述加热梁11的下表面具有一定的间距,即所述加热梁11将所述谐振结构10支撑起来,并使得所述谐振结构10相对于所述衬底16处于悬空状态。As an example, the N-type heavily doped oven-controlled oscillator further includes a substrate 16 and a second insulating layer 17 , and the anchor point 12 is fixed on the surface of the substrate 16 through the second insulating layer 17 . ; The surface of the substrate 16 and the lower surface of the resonant structure 10 and the heating beam 11 have a certain distance, that is, the heating beam 11 supports the resonant structure 10 and makes the resonant structure 10 It is in a floating state relative to the substrate 16 .
作为示例,所述温度传感器13包括温度敏感电阻131、第四电极132及第三绝缘层133;所述温度敏感电阻131通过所述第三绝缘层133与所述锚点12固连,且通过所述第四电极132实现电学引出;所述温度传感器13通过外接三个电阻(未示出)形成惠斯顿电桥即可实现对所述锚点12温度的测量。As an example, the temperature sensor 13 includes a temperature sensitive resistor 131 , a fourth electrode 132 and a third insulating layer 133 ; the temperature sensitive resistor 131 is fixed to the anchor point 12 through the third insulating layer 133 , and is connected to the anchor point 12 through the third insulating layer 133 . The fourth electrode 132 realizes electrical extraction; the temperature sensor 13 can measure the temperature of the anchor point 12 by externally connecting three resistors (not shown) to form a Wheatstone bridge.
作为示例,所述第四电极132的数量可以根据实际需要进行设定,优选地,本实施例中,所述第四电极132的数量为两个,所述两个第四电极132位于所述温度敏感电阻131上;具体的,所述两个第四电极132位于所述温度敏感电阻132的两端。As an example, the number of the fourth electrodes 132 may be set according to actual needs. Preferably, in this embodiment, the number of the fourth electrodes 132 is two, and the two fourth electrodes 132 are located in the On the temperature sensitive resistor 131 ; specifically, the two fourth electrodes 132 are located at both ends of the temperature sensitive resistor 132 .
作为示例,所述温度传感器13不仅限于图1所示的结构,所述温度传感器13还可采用温敏二极管等多种方式。As an example, the temperature sensor 13 is not limited to the structure shown in FIG. 1 , and the temperature sensor 13 can also adopt various methods such as a temperature-sensitive diode.
作为示例,所述N型重掺杂恒温控制振荡器封装于真空环境中。As an example, the N-type heavily doped oven-controlled oscillator is packaged in a vacuum environment.
所述谐振结构10的工作振型如图3所示,所述两根N型重掺杂纵向振动梁101为纵向拉伸模态(Length Extensional Mode,LE mode),所述第一电极102为寄生三阶弯曲振动模态;所述谐振结构10工作振型的谐振频率唯一地由硅<100>晶向杨氏模量决定。The working mode shape of the resonant structure 10 is shown in FIG. 3 , the two N-type heavily doped longitudinal vibration beams 101 are in a longitudinal extensional mode (Length Extensional Mode, LE mode), and the first electrode 102 is Parasitic third-order bending vibration mode; the resonant frequency of the working mode of the resonant structure 10 is uniquely determined by the Young's modulus of the silicon <100> crystal direction.
本发明中,沿<100>晶向族的N型重掺杂结构的频率温度系数存在过零点,频率温度系数过零点的温度由掺杂浓度决定;通过调整N型掺杂浓度,可以使<100>晶向族谐振频率温度系数过零点略高于振荡器工作温区的上限;设置贯穿谐振结构的加热梁,在所述加热梁上通电流即可实现恒温控制,使得所述N型重掺杂恒温控制振荡器具有较好的性能稳定性及较好温度特性。In the present invention, the frequency temperature coefficient of the N-type heavily doped structure along the <100> crystal orientation family has a zero-crossing point, and the temperature at the zero-crossing point of the frequency temperature coefficient is determined by the doping concentration; by adjusting the N-type doping concentration, < 100>The zero-crossing point of the resonant frequency temperature coefficient of the crystal orientation family is slightly higher than the upper limit of the working temperature range of the oscillator; a heating beam running through the resonant structure is set, and constant temperature control can be realized by passing a current on the heating beam, so that the N-type heavily doped OTC oscillators have better performance stability and better temperature characteristics.
实施例二Embodiment 2
请参阅图4,本发明还提供一种N型重掺杂恒温控制振荡器的恒温控制方法,所述恒温控制方法包括:Referring to FIG. 4 , the present invention also provides a constant temperature control method for an N-type heavily doped constant temperature controlled oscillator. The constant temperature control method includes:
S1:利用N型重掺杂将沿<100>晶向族方向分布的谐振结构的频率温度系数过零点调整到略大于工作温区;S1: Use N-type heavy doping to adjust the zero-crossing point of the frequency temperature coefficient of the resonant structure distributed along the <100> crystal direction to be slightly larger than the working temperature region;
S2:通过恒温控制将所述沿<100>晶向族方向分布的谐振结构的工作温度控制在频率温度系数过零点,实现高温度稳定性的硅基振荡器。S2: The operating temperature of the resonant structure distributed along the <100> crystal direction group direction is controlled at the zero-crossing point of the frequency temperature coefficient through constant temperature control, so as to realize a silicon-based oscillator with high temperature stability.
执行S1步骤,请参阅图4中的S1步骤,利用N型重掺杂将沿<100>晶向族方向分布的谐振结构的频率温度系数过零点调整到略大于工作温区。The S1 step is performed, please refer to the S1 step in FIG. 4 , and the zero-crossing point of the frequency temperature coefficient of the resonant structure distributed along the <100> crystal direction group direction is adjusted to be slightly larger than the operating temperature region by using N-type heavy doping.
作为示例,所述谐振结构包括两根N型重掺杂纵向振动梁及第一电极;所述两根N型重掺杂纵向振动梁平行间隔排布,所述第一电极位于所述两根N型重掺杂纵向振动梁的两端,并将所述两根N型重掺杂纵向振动梁相连接。As an example, the resonant structure includes two N-type heavily doped longitudinal vibration beams and a first electrode; the two N-type heavily doped longitudinal vibration beams are arranged in parallel and spaced apart, and the first electrodes are located on the two N-type heavily doped longitudinal vibration beams Both ends of the N-type heavily doped longitudinal vibration beams are connected, and the two N-type heavily doped longitudinal vibration beams are connected.
作为示例,当所述N型重掺杂恒温控制振荡器的工作温度为-40℃~-85℃时,通过N型重掺杂,使所述沿<100>晶向族方向分布的谐振结构的频率温度系数过零点位于90℃附近。As an example, when the operating temperature of the N-type heavily doped oven controlled oscillator is -40° C. to -85° C., the resonant structure distributed along the <100> crystal direction group is made through N-type heavy doping. The zero-crossing point of the frequency temperature coefficient is around 90°C.
作为示例,所述N型重掺杂的掺杂浓度应大于1019/cm3;所述N型重掺杂的原子类型包括磷、砷等常规N型掺杂;掺杂工艺为集成电路常用的工艺。As an example, the doping concentration of the N-type heavy doping should be greater than 10 19 /cm 3 ; the atomic types of the N-type heavy doping include conventional N-type doping such as phosphorus and arsenic; the doping process is commonly used in integrated circuits process.
执行S2步骤,通过恒温控制将所述沿<100>晶向族方向分布的谐振结构的工作温度控制在频率温度系数过零点,实现高温度稳定性的硅基振荡器。Step S2 is performed, and the operating temperature of the resonant structure distributed along the <100> crystal direction group direction is controlled at the zero-crossing point of the frequency temperature coefficient through constant temperature control, so as to realize a silicon-based oscillator with high temperature stability.
作为示例,S2步骤中通过恒温控制将所述沿<100>晶向族方向分布的谐振结构的工作温度控制在频率温度系数过零点的具体方法为:As an example, in step S2, the specific method for controlling the operating temperature of the resonant structure distributed along the <100> crystal direction family direction at the zero-crossing point of the frequency temperature coefficient by constant temperature control is as follows:
S21:利用加热梁将所述谐振结构支撑起来;所述加热梁贯穿所述两根N型重掺杂纵向振动梁,所述加热梁与所述两根N型重掺杂纵向振动梁的连接点位于所述两根N型重掺杂纵向振动梁的中点处,且所述加热梁的中心位于所述两根N型重掺杂纵向振动梁的中点之间的中心处;S21: Use a heating beam to support the resonance structure; the heating beam runs through the two N-type heavily doped longitudinal vibration beams, and the heating beam is connected to the two N-type heavily doped longitudinal vibration beams The point is located at the midpoint of the two N-type heavily doped longitudinal vibration beams, and the center of the heating beam is located at the center between the midpoints of the two N-type heavily doped longitudinal vibration beams;
S22:在所述加热梁上通电流使所述加热梁中点处的温度达到<100>晶向频率温度系数过零点,以实现恒温控制。恒温控制的运算由专用电路实现。S22: Pass current on the heating beam to make the temperature at the midpoint of the heating beam reach the zero-crossing point of the frequency temperature coefficient of the <100> crystal orientation, so as to realize constant temperature control. The operation of constant temperature control is realized by a dedicated circuit.
作为示例,所述加热梁包括加热电阻,所述加热梁的两端设有锚点,所述锚点上设有温度传感器;步骤S22中在所述加热梁上通电流使所述两根N型重掺杂纵向振动梁中点处的温度达到<100>晶向频率温度系数过零点,以实现恒温控制的具体方法为:As an example, the heating beam includes a heating resistor, two ends of the heating beam are provided with anchor points, and temperature sensors are provided on the anchor points; in step S22, a current is applied to the heating beam to make the two N-type heavyweights The temperature at the midpoint of the doped longitudinal vibration beam reaches the zero-crossing point of the frequency temperature coefficient of the <100> crystal orientation, and the specific method to achieve constant temperature control is as follows:
S221:通过所述温度传感器测量所述锚点处的温度Ta,由预先确定的工作温度Tt和Ta通过公式:S221: Measure the temperature Ta at the anchor point by the temperature sensor, and use the predetermined working temperature Tt and Ta to pass the formula:
P=β(Tt-Ta)P=β(T t −T a )
计算得到加热功率;式中,β为加热梁尺寸和热导率的函数;Calculate the heating power; in the formula, β is a function of the size of the heating beam and the thermal conductivity;
S222:并由所述加热电阻的平均阻值得到加热电压Vt,在所述加热梁上施加所述加热电压Vt即可实现恒温控制。S222: Obtain the heating voltage V t from the average resistance value of the heating resistor, and apply the heating voltage V t on the heating beam to realize constant temperature control.
作为示例,所述加热梁包括加热电阻,所述加热梁的两端设有锚点,所述锚点上设有温度传感器;步骤S22中在所述加热梁上通电流使所述加热梁中点处的温度达到<100>晶向频率温度系数过零点,以实现恒温控制的具体方法为:As an example, the heating beam includes a heating resistor, two ends of the heating beam are provided with anchor points, and temperature sensors are provided on the anchor points; in step S22, a current is applied to the heating beam to make the middle point of the heating beam The temperature reaches <100> crystal orientation frequency temperature coefficient zero-crossing point, the specific method to achieve constant temperature control is:
S221:通过所述温度传感器测量所述锚点处的温度Ta,在所述加热梁上施加加热电流,同时测量所述加热梁的电阻Rr;所述加热梁的电阻Rr满足公式:S221: Measure the temperature Ta at the anchor point by the temperature sensor, apply a heating current to the heating beam, and measure the resistance R r of the heating beam at the same time; the resistance R r of the heating beam satisfies the formula:
Rr=Rr0+Rr0α((1-γ)Tm+γTa+Tt)R r =R r0 +R r0 α((1-γ)T m +γT a +T t )
式中,Rr0为所述加热梁在工作温度时的电阻值,α为所述加热梁的一阶温度系数,Tm为所述加热梁中点处的实际温度,当所述加热梁为均质矩形截面梁时γ等于1/3,实际结构中γ通过实验决定;In the formula, R r0 is the resistance value of the heating beam at the working temperature, α is the first-order temperature coefficient of the heating beam, and T m is the actual temperature at the midpoint of the heating beam. When the heating beam is homogeneous γ is equal to 1/3 when the beam is rectangular, and γ is determined by experiments in the actual structure;
S222:利用上述公式得到所述加热梁中点处温度Tm与所述锚点处的温度Ta的差值ΔT,通过反馈算法将ΔT减至最小实现谐振结构温度的反馈控制即可实现恒温控制;具体反馈算法可以采用但不仅限于PID算法。恒温控制的运算由专用电路实现。S222: Use the above formula to obtain the difference ΔT between the temperature T m at the midpoint of the heating beam and the temperature T a at the anchor point, and reduce ΔT to a minimum through a feedback algorithm to realize feedback control of the temperature of the resonant structure to achieve constant temperature Control; the specific feedback algorithm can be adopted but not limited to the PID algorithm. The operation of constant temperature control is realized by a dedicated circuit.
综上所述,本发明提供一种N型重掺杂恒温控制振荡器及其恒温控制方法,本发明的N型重掺杂恒温控制振荡器包括:谐振结构、锚点、加热梁及温度传感器;所述谐振结构包括N型重掺杂纵向振动梁及第一电极;所述第一电极位于所述N型重掺杂纵向振动梁的两端;所述N型重掺杂纵向振动梁及所述第一电极均沿单晶硅<100>晶向族方向分布;所述锚点位于所述谐振结构的两侧,且与所述谐振结构间隔一定的距离;所述加热梁贯穿所述N型重掺杂纵向振动梁,且所述加热梁的两端分别位于所述锚点内;所述温度传感器位于所述锚点表面。本发明中沿<100>晶向族的N型重掺杂结构的频率温度系数存在过零点,频率温度系数过零点的温度由掺杂浓度决定;通过调整N型掺杂浓度,可以使<100>晶向族谐振频率温度系数过零点略高于振荡器工作温区的上限;设置贯穿谐振结构的加热梁,在所述加热梁上通电流即可实现恒温控制,使得所述N型重掺杂恒温控制振荡器具有较好的性能稳定性及较好温度特性。To sum up, the present invention provides an N-type heavily doped constant temperature controlled oscillator and a constant temperature control method thereof. The N-type heavily doped constant temperature controlled oscillator of the present invention includes: a resonant structure, an anchor point, a heating beam and a temperature sensor ; The resonant structure includes an N-type heavily doped longitudinal vibration beam and a first electrode; the first electrode is located at both ends of the N-type heavily doped longitudinal vibration beam; the N-type heavily doped longitudinal vibration beam and The first electrodes are distributed along the monocrystalline silicon <100> crystal direction group direction; the anchor points are located on both sides of the resonant structure and are spaced apart from the resonant structure by a certain distance; the heating beam runs through the resonant structure N-type heavily doped longitudinal vibration beam, and two ends of the heating beam are respectively located in the anchor point; the temperature sensor is located on the surface of the anchor point. In the present invention, the frequency temperature coefficient of the N-type heavily doped structure along the <100> crystal orientation family has a zero-crossing point, and the temperature at the zero-crossing point of the frequency temperature coefficient is determined by the doping concentration; by adjusting the N-type doping concentration, the <100 >The zero-crossing point of the temperature coefficient of the resonant frequency of the crystal orientation family is slightly higher than the upper limit of the operating temperature range of the oscillator; a heating beam is set through the resonant structure, and constant temperature control can be realized by passing a current on the heating beam, so that the N-type heavily doped constant temperature The controlled oscillator has better performance stability and better temperature characteristics.
上述实施例仅例示性说明本发明的原理及其功效,而非用于限制本发明。任何熟悉此技术的人士皆可在不违背本发明的精神及范畴下,对上述实施例进行修饰或改变。因此,举凡所属技术领域中具有通常知识者在未脱离本发明所揭示的精神与技术思想下所完成的一切等效修饰或改变,仍应由本发明的权利要求所涵盖。The above-mentioned embodiments merely illustrate the principles and effects of the present invention, but are not intended to limit the present invention. Anyone skilled in the art can modify or change the above embodiments without departing from the spirit and scope of the present invention. Therefore, all equivalent modifications or changes made by those with ordinary knowledge in the technical field without departing from the spirit and technical idea disclosed in the present invention should still be covered by the claims of the present invention.
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