CN113849033B - Linear voltage stabilizer with impedance attenuation compensation - Google Patents
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Abstract
Description
技术领域technical field
本发明属于稳压器技术领域,具体涉及一种阻抗衰减补偿的线性稳压器。The invention belongs to the technical field of voltage stabilizers, in particular to a linear voltage stabilizer with impedance attenuation compensation.
背景技术Background technique
随着人工智能和万物互联时代的到来,对于各种系统的集成度要求越来越高,在电源管理芯片中,也会将尽可能多的模块一起集成在一个芯片中,包括常用的线性稳压器模块。线性稳压器常作为第一级预调制模块将外部不稳定的供电电压调节为一个稳定的供电电源轨,用以给芯片内部电路供电,通常在整体的芯片设计中,为了保证线性稳压器输出的稳定,使得整个芯片可以稳定工作,通常会在线性稳压器的输出端接一片外接滤波电容,该电容的值往往很大,一般在微法量级。而在线性稳压器的设计中,环路的设计是非常重要的,一个设计合格的线性稳压器必须保证能够在整个负载工作范围内都具有足够的相位裕度,输出端的片外电容与线性稳压器的环路补偿设计具有密切的关系,因此这一类线性稳压器的环路补偿必须考虑片外电容的影响来进行合理的设计。对于带片外电容的线性稳压器,如果考虑使用运放中传统的密勒补偿结构,则因为输出端过大的电容,难以将主极点固定在芯片内部,即第一级放大级的输出部分,密勒补偿方案将会失效,导致环路补偿失败。因此对于这种线性稳压器,一般将主极点做在输出端。为了追求较低的Vdropout,提高效率,大多数线性稳压器会选择使用P管作为功率管,同时承担第二级放大器的作用,则此时功率管上较大的寄生电容和第一级较高的输出电阻会在内部产生一个较低的极点,因此会造成环路不稳定。一般情况下频率补偿的方法是使用一级源跟随器加在两级放大器之间,将第一级输出的高电阻和第二级输入的高电容隔开,此时次级点产生于第一级的输出,因为第一级输出端较低的电容,该次级点可以做到很高,因此环路的稳定性得到了保证。With the advent of the era of artificial intelligence and the Internet of Everything, the integration requirements for various systems are getting higher and higher. In the power management chip, as many modules as possible will be integrated into one chip, including the commonly used linear stabilizer. pressure module. The linear regulator is often used as the first-stage pre-modulation module to adjust the external unstable power supply voltage into a stable power supply rail to supply power to the internal circuit of the chip. Usually in the overall chip design, in order to ensure the linear regulator The stability of the output enables the entire chip to work stably. Usually, an external filter capacitor is connected to the output end of the linear regulator. The value of this capacitor is often very large, generally in the microfarad level. In the design of linear regulators, the design of the loop is very important. A well-designed linear regulator must ensure that it can have sufficient phase margin in the entire load operating range. The loop compensation design of the linear regulator is closely related, so the loop compensation of this type of linear regulator must consider the influence of off-chip capacitance to carry out a reasonable design. For linear regulators with off-chip capacitors, if the traditional Miller compensation structure in op amps is considered, it is difficult to fix the main pole inside the chip due to the excessive capacitance at the output end, that is, the output of the first stage of amplification. In part, the Miller compensation scheme will fail, causing the loop compensation to fail. Therefore, for this kind of linear regulator, the main pole is generally made at the output end. In order to pursue lower Vdropout and improve efficiency, most linear regulators will choose to use the P tube as the power tube, and at the same time undertake the role of the second-stage amplifier, then the larger parasitic capacitance on the power tube and the first stage are relatively large. A high output resistance creates a lower pole internally, thus making the loop unstable. In general, the method of frequency compensation is to use a first-stage source follower to be added between the two-stage amplifiers to separate the high resistance of the first stage output from the high capacitance of the second stage input. At this time, the secondary point is generated in the first stage. Because of the lower capacitance at the output of the first stage, the secondary point can be made very high, so the stability of the loop is guaranteed.
但使用上述的方法进行频率补偿时,当第一级的输出电阻过大而第二级的输入电容较大时,这在线性稳压器中是比较常见的情况。此时源跟随器会表现出较为强烈的电感特性,可以称之为一个有源电感,当源跟随器有源电感的特性表现得比较明显时,很有可能会在源跟随器的部位引入较低的共轭极点。从而破坏整个环路的稳定性。此时如果仍然要继续采用源跟随器的补偿方法时,就必须要设法增大源跟随器的跨导,或者直接更换结构如采用超级源随器之类的结构。但这样势必会增加电路的功耗或者增加电路的复杂度。However, when using the above method for frequency compensation, when the output resistance of the first stage is too large and the input capacitance of the second stage is large, this is a relatively common situation in linear regulators. At this time, the source follower will show relatively strong inductance characteristics, which can be called an active inductance. Low conjugate pole. Thus destroying the stability of the entire loop. At this time, if you still want to continue to use the source follower compensation method, you must try to increase the transconductance of the source follower, or directly replace the structure, such as using a super source follower or the like. But this will inevitably increase the power consumption of the circuit or increase the complexity of the circuit.
发明内容SUMMARY OF THE INVENTION
本发明的目的是针对现有带片外电容线性稳压器常规补偿方式容易带来的问题,提出了一种新的补偿方案。在保证线性稳压器环路稳定性的同时,也不会增加电路的复杂性和功耗。The purpose of the present invention is to propose a new compensation scheme for the problems easily brought about by the conventional compensation method of the existing linear voltage regulator with off-chip capacitance. While ensuring the stability of the linear regulator loop, it will not increase the complexity and power consumption of the circuit.
为实现上述目的,本发明的技术方案为:For achieving the above object, the technical scheme of the present invention is:
一种阻抗衰减补偿的线性稳压器,包括第一NPN管Q1、第二NPN管Q2、第三NPN管Q3、第一电阻R1、第二电阻R2、第三电阻R3、第四电阻R4、第五电阻R5、第六电阻R6、第七电阻R7、第八电阻R8、第九电阻R9、第十电阻R10、第十一电阻R11、第十二电阻R12、第十三电阻R13、第十四电阻R14、第一PMOS管MP1、第二PMOS管MP2、第三PMOS管MP3、第四PMOS管MP4、第五PMOS管MP5、第六PMOS管MP6、第一NMOS管MN1、第二NMOS管MN2、第三NMOS管MN3、第一LDNMOS管HMN1、第二LDNMOS管HMN2、第三LDNMOS管HMN3、第四LDNMOS管HMN4、第一LDPMOS管HMP1、第二LDPMOS管HMP2、第一电容C1,第一齐纳管Z1、第二齐纳管Z2、第三齐纳管Z3、第一nativeMOS管NAMOS1;A linear regulator for impedance attenuation compensation, comprising a first NPN transistor Q1, a second NPN transistor Q2, a third NPN transistor Q3, a first resistor R1, a second resistor R2, a third resistor R3, a fourth resistor R4, Fifth resistor R5, sixth resistor R6, seventh resistor R7, eighth resistor R8, ninth resistor R9, tenth resistor R10, eleventh resistor R11, twelfth resistor R12, thirteenth resistor R13, tenth resistor Four resistors R14, first PMOS transistor MP1, second PMOS transistor MP2, third PMOS transistor MP3, fourth PMOS transistor MP4, fifth PMOS transistor MP5, sixth PMOS transistor MP6, first NMOS transistor MN1, second NMOS transistor MN2, the third NMOS transistor MN3, the first LDNMOS transistor HMN1, the second LDNMOS transistor HMN2, the third LDNMOS transistor HMN3, the fourth LDNMOS transistor HMN4, the first LDPMOS transistor HMP1, the second LDPMOS transistor HMP2, the first capacitor C1, the first A Zener tube Z1, a second Zener tube Z2, a third Zener tube Z3, and a first nativeMOS tube NAMOS1;
其中,第一NPN管Q1和第二NPN管Q2组成差分对管,第一NPN管Q1的基极接第三电阻的一端和第四电阻的一端,第一NPN管Q1的发射极通过第一电阻R1后接地,第一NPN管Q1的集电极通过第二电阻R2后接第三电阻的另一端、第一LDPMOS管HMP1的漏极和第三PMOS管MP3的源极;第二NPN管Q2的基极接基准电压,其发射极通过第一电阻R1后接地,其集电极接第二LDNMOS管HMN2的源极;第三NPN管Q3的基极接基准电压,其发射极通过第五电阻R5后接地,其集电极接第一LDNMOS管HMN1的源极;The first NPN transistor Q1 and the second NPN transistor Q2 form a differential pair transistor, the base of the first NPN transistor Q1 is connected to one end of the third resistor and one end of the fourth resistor, and the emitter of the first NPN transistor Q1 passes through the first NPN transistor Q1. The resistor R1 is grounded, and the collector of the first NPN transistor Q1 is connected to the other end of the third resistor, the drain of the first LDPMOS transistor HMP1 and the source of the third PMOS transistor MP3 through the second resistor R2; the second NPN transistor Q2 Its base is connected to the reference voltage, its emitter is grounded after passing through the first resistor R1, and its collector is connected to the source of the second LDNMOS tube HMN2; the base of the third NPN tube Q3 is connected to the reference voltage, and its emitter is connected to the reference voltage through the fifth resistor R5 is grounded, and its collector is connected to the source of the first LDNMOS tube HMN1;
第一LDNMOS管HMN1的栅极接外部偏置电压,其漏极通过第六电阻R6后接第一PMOS管MP1的漏极和栅极、第二PMOS管MP2的栅极、第八电阻R8的一端;第二LDNMOS管HMN2的栅极接外部偏置电压,其漏极通过第七电阻R7后接第二PMOS管MP2的漏极、第八电阻R8的另一端;第一PMOS管MP1和第二PMOS管MP2的源极接电源;The gate of the first LDNMOS transistor HMN1 is connected to the external bias voltage, and its drain is connected to the drain and gate of the first PMOS transistor MP1, the gate of the second PMOS transistor MP2, and the gate of the eighth resistor R8 through the sixth resistor R6. One end; the gate of the second LDNMOS tube HMN2 is connected to the external bias voltage, and its drain is connected to the drain of the second PMOS tube MP2 and the other end of the eighth resistor R8 through the seventh resistor R7; the first PMOS tube MP1 and the first The source of the two PMOS transistors MP2 is connected to the power supply;
第二齐纳管Z2的正极接第二PMOS管MP2的漏极和第一native MOS管NAMOS1的栅极,第二齐纳管Z2的负极接电源;第一native MOS管NAMOS1的漏极接电源,其源极接第一电容C1的一端、第一齐纳管Z1的正极、第一LDPMOS管HMP1的栅极和第二LDPMOS管HMP2的栅极;第一电容C1的另一端接电源,第一齐纳管Z1的负极接电源;第一LDPMOS管HMP1的源极接电源;The anode of the second Zener transistor Z2 is connected to the drain of the second PMOS transistor MP2 and the gate of the first native MOS transistor NAMOS1, the cathode of the second Zener transistor Z2 is connected to the power supply; the drain of the first native MOS transistor NAMOS1 is connected to the power supply , its source is connected to one end of the first capacitor C1, the positive electrode of the first Zener tube Z1, the gate of the first LDPMOS tube HMP1 and the gate of the second LDPMOS tube HMP2; the other end of the first capacitor C1 is connected to the power supply, the first The negative pole of a Zener tube Z1 is connected to the power supply; the source of the first LDPMOS tube HMP1 is connected to the power supply;
第二LDPMOS管HMP2的源极接电源,其漏极接第三齐纳管Z3的负极和第四PMOS管MP4的源极;第三齐纳管Z3的正极接地;The source of the second LDPMOS transistor HMP2 is connected to the power supply, and its drain is connected to the negative electrode of the third Zener transistor Z3 and the source of the fourth PMOS transistor MP4; the positive electrode of the third Zener transistor Z3 is grounded;
第三PMOS管MP3的栅极和漏极互连,其漏极通过第九电阻R9后接地;第四PMOS管MP4的栅极接第三PMOS管MP3的漏极,第四PMOS管MP4的漏极通过第十电阻R10后接地;The gate and drain of the third PMOS transistor MP3 are interconnected, and its drain is grounded through the ninth resistor R9; the gate of the fourth PMOS transistor MP4 is connected to the drain of the third PMOS transistor MP3, and the drain of the fourth PMOS transistor MP4 The pole is grounded after passing through the tenth resistor R10;
第五PMOS管MP5的源极接电源,其栅极和漏极互连;第六PMOS管MP6的源极接电源,其栅极接第五PMOS管MP5的漏极;The source of the fifth PMOS tube MP5 is connected to the power supply, and its gate and drain are interconnected; the source of the sixth PMOS tube MP6 is connected to the power supply, and its gate is connected to the drain of the fifth PMOS tube MP5;
第三LDNMOS管HMN3的漏极通过第十三电阻R13后接第五PMOS管MP5的漏极,第三LDNMOS管HMN3的栅极接外部偏置电压;第四LDNMOS管HMN4的漏极通过第十四电阻R14后接第六PMOS管MP6的漏极,第四LDNMOS管HMN4的栅极接外部偏置电压;The drain of the third LDNMOS transistor HMN3 is connected to the drain of the fifth PMOS transistor MP5 through the thirteenth resistor R13, and the gate of the third LDNMOS transistor HMN3 is connected to the external bias voltage; the drain of the fourth LDNMOS transistor HMN4 is connected to the drain of the fifth PMOS transistor MP5 through the tenth The fourth resistor R14 is connected to the drain of the sixth PMOS transistor MP6, and the gate of the fourth LDNMOS transistor HMN4 is connected to the external bias voltage;
第一NMOS管MN1的漏极接第三LDNMOS管HMN3的源极,第一NMOS管MN1的栅极接第四PMOS管MP4的漏极,第一NMOS管MN1的源极通过第十一电阻R11后接第三NMOS管MN3的漏极;第二NMOS管的漏极接第四LDNMOS管HMN4的源极,第二NMOS管的栅极接基准电压,其源极通过第十二电阻R12后第三NMOS管MN3的漏极;The drain of the first NMOS transistor MN1 is connected to the source of the third LDNMOS transistor HMN3, the gate of the first NMOS transistor MN1 is connected to the drain of the fourth PMOS transistor MP4, and the source of the first NMOS transistor MN1 passes through the eleventh resistor R11 The drain of the third NMOS transistor MN3 is then connected; the drain of the second NMOS transistor is connected to the source of the fourth LDNMOS transistor HMN4, the gate of the second NMOS transistor is connected to the reference voltage, and its source is connected to the twelfth resistor R12. The drain of the three NMOS transistor MN3;
第三NMOS管MN3的栅极接外部偏置电压,其源极接地;The gate of the third NMOS transistor MN3 is connected to the external bias voltage, and its source is grounded;
第一LDPMOS管HMP1漏极、第二电阻R2、第三电阻R3、第三PMOS管MP3源极的连接点为线性稳压器输出端。The connection point of the drain of the first LDPMOS transistor HMP1, the second resistor R2, the third resistor R3, and the source of the third PMOS transistor MP3 is the output end of the linear regulator.
上述方案中,通过对传统的带片外电容线性稳压器的补偿方式进行改进,通过在第一级放大级的输出端进行输出阻抗衰减,从而保证线性稳压器的环路稳定性。电路可划分为一级放大器、二级放大器、源跟随器、过流保护模块部分。一级放大器一端接基准电压,线性稳压器输出电压经过电阻分压后接另一端,总体上通过运放的钳位保证线性稳压器输出稳定的电压。二级放大器是由PMOS功率管自身组成的共源极放大器,起到一定的放大作用,增大整个运放的增益,同时线性稳压器的负载电流可以流过该功率管。源跟随器部分作为一个buffer,起到隔离第一级大输出电阻和第二级大输入电容的作用,同时在该源跟随器的前面增加一阻抗衰减电阻,将第一级的输出电阻大大减小了,源跟随器的适用范围因此大大增加。过流保护模块部分检测功率管上的电流,将其转换成电压与基准电压相比较,当流过功率管上的电流过大时,则通过负反馈调节功率管的栅极电压,将流过它的电流限制在一个特定的值上,起到限流的作用。In the above scheme, by improving the compensation method of the traditional linear regulator with off-chip capacitors, and by performing output impedance attenuation at the output end of the first-stage amplifying stage, the loop stability of the linear regulator is ensured. The circuit can be divided into a first-stage amplifier, a second-stage amplifier, a source follower, and an overcurrent protection module. One end of the first-stage amplifier is connected to the reference voltage, and the output voltage of the linear voltage stabilizer is connected to the other end after being divided by a resistor. Generally, the output voltage of the linear voltage stabilizer is guaranteed by the clamp of the op amp. The secondary amplifier is a common source amplifier composed of the PMOS power tube itself, which plays a certain amplification role and increases the gain of the entire operational amplifier. At the same time, the load current of the linear regulator can flow through the power tube. The source follower part is used as a buffer to isolate the large output resistance of the first stage and the large input capacitance of the second stage. At the same time, an impedance attenuation resistor is added in front of the source follower to greatly reduce the output resistance of the first stage. Smaller, the applicable range of the source follower is greatly increased. The overcurrent protection module part detects the current on the power tube, converts it into a voltage and compares it with the reference voltage. When the current flowing through the power tube is too large, the grid voltage of the power tube is adjusted by negative feedback, and the current flowing through the power tube is adjusted. Its current is limited to a specific value, which acts as a current limiter.
本发明的有益效果为,本发明在使用源跟随器进行频率补偿的基础上提出了一种新的补偿方式,整体上仍然采用中间插入源跟随器的方式进行频率补偿,但在前一级电路中配合源跟随器的使用加入阻抗衰减电路,从而可以在线性稳压器第二级寄生电容很大的情况下,依然可以通过简单的一级源跟随器进行频率的补偿。同时不增加电路复杂度和功耗。非常适用于带片外电容的负载范围较大的线性稳压器的频率补偿使用。The beneficial effect of the present invention is that the present invention proposes a new compensation method on the basis of using the source follower for frequency compensation, and the method of inserting the source follower in the middle is still used for frequency compensation as a whole, but in the previous stage circuit The impedance attenuation circuit is added to the use of the source follower in the middle, so that the frequency can be compensated by a simple first-stage source follower even when the second-stage parasitic capacitance of the linear regulator is large. At the same time, the circuit complexity and power consumption are not increased. It is very suitable for frequency compensation of linear regulators with large load range with off-chip capacitors.
附图说明Description of drawings
图1本发明提出的线性稳压器具体电路。Fig. 1 The specific circuit of the linear voltage stabilizer proposed by the present invention.
图2本发明提出的线性稳压器中第一级运放输出阻抗小信号电路。Fig. 2 The output impedance small signal circuit of the first-stage operational amplifier in the linear regulator proposed by the present invention.
图3本发明提出的线性稳压器环路增益小信号电路图。FIG. 3 is a circuit diagram of a small-signal circuit of the loop gain of the linear regulator proposed by the present invention.
图4本发明提出的线性稳压器不带输出阻抗衰减模块的环路增益波特图。FIG. 4 is a Bode diagram of the loop gain of the linear regulator proposed by the present invention without an output impedance attenuation module.
图5本发明提出的线性稳压器带有输出阻抗衰减模块的环路增益波特图。FIG. 5 is a Bode diagram of the loop gain of the linear regulator with the output impedance attenuation module proposed by the present invention.
具体实施方式Detailed ways
下面结合附图,对本发明技术方案进行详细描述:Below in conjunction with accompanying drawing, the technical scheme of the present invention is described in detail:
本发明提出的线性稳压器的电路如图1所示。Q1和Q2这一对输入对管作为第一级放大器的放大器件,将线性稳压器输出的分压与基准电压REF相比再经过放大,在MP2的漏端作为输出送到下一级。Q3所在的支路作为偏置电路使用,这一路也可以适当更换为其他类型的偏置电路,不影响使用。为了使线性稳压器可以应用在高压输入的环境下,HMN1和HMN2作为高压管进行抗压。Q1和Q2所在的支路并不对称,将Q1的集电极串联电阻再接到输出可以在这一支路上省去高压管的使用,节约面积。MP2的漏极作为第一级放大器的输出,连接在源跟随器NAMOS的输入上,在这里源跟随器使用了Native MOS,其阈值电压为负值,其他性质与NMOS管基本相同,在这里若使用普通的NMOS管,则MP2的漏端电位为功率管HMP1的源极电位加上一个阈值电压,在线性稳压器轻载的时候,HMP1的源极电位接近VIN,这会导致MP2工作在线性区而非饱和区,无法准确地镜像电流,影响整个电路的正常工作。Z1、Z2和Z3是齐纳管,保护低压管不被击穿。C1的作用是在快速上电时保证VIN可以被快速耦合到HMP1的栅极,使得上电后电路平稳进入工作状态。经过源跟随器后紧接着是HMP1的栅极,也就是第二级放大器的输入,输出VOUT经过电阻R3和R4分压后又回到Q1的基级,即第一级运放的正端。形成一个负反馈,产生稳定的VOUT,其中VOUT的值为:The circuit of the linear regulator proposed by the present invention is shown in FIG. 1 . The pair of input-to-tube Q1 and Q2 is used as the amplifier of the first-stage amplifier. The divided voltage output by the linear regulator is compared with the reference voltage REF and then amplified, and the drain of MP2 is sent to the next stage as an output. The branch where Q3 is located is used as a bias circuit, and this circuit can also be appropriately replaced with other types of bias circuits without affecting the use. In order to make the linear regulator can be applied in the environment of high voltage input, HMN1 and HMN2 are used as high voltage tubes to resist pressure. The branches where Q1 and Q2 are located are not symmetrical. Connecting the collector series resistance of Q1 to the output can save the use of high-voltage tubes on this branch and save area. The drain of MP2 is used as the output of the first-stage amplifier and is connected to the input of the source follower NAMOS. Here, the source follower uses Native MOS, and its threshold voltage is negative. The other properties are basically the same as the NMOS tube. Using a common NMOS transistor, the drain potential of MP2 is the source potential of the power transistor HMP1 plus a threshold voltage. When the linear regulator is lightly loaded, the source potential of HMP1 is close to VIN, which will cause MP2 to work online. It cannot accurately mirror the current, which affects the normal operation of the entire circuit. Z1, Z2 and Z3 are Zener tubes that protect the low-voltage tubes from breakdown. The function of C1 is to ensure that VIN can be quickly coupled to the gate of HMP1 during fast power-on, so that the circuit can enter the working state smoothly after power-on. After the source follower is followed by the gate of HMP1, which is the input of the second stage amplifier, the output VOUT is divided by resistors R3 and R4 and then returns to the base stage of Q1, which is the positive end of the first stage op amp. A negative feedback is formed, resulting in a stable VOUT where the value of VOUT is:
限流电路的工作原理如下:当流过HMP1的电流较大时,HMP2镜像HMP1上的电流,该电流经过R10产生一个电压送给过流钳位运放的正端,即MN1的栅极,当R10上的电压与REF相等时钳位电路产生作用,可以得到限流的大小为:The working principle of the current limiting circuit is as follows: when the current flowing through HMP1 is large, HMP2 mirrors the current on HMP1, and the current passes through R10 to generate a voltage and send it to the positive end of the overcurrent clamp op amp, that is, the gate of MN1, When the voltage on R10 is equal to REF, the clamp circuit works, and the current limit can be obtained as:
当流过HMP1上的电流超过Ilimit时,通过运放负反馈将HMP1的栅极抬高,使得流过HMP1上的电流不能进一步增加。When the current flowing through HMP1 exceeds I limit , the gate of HMP1 is raised by the negative feedback of the operational amplifier, so that the current flowing through HMP1 cannot be further increased.
下面具体叙述该线性稳压器的补偿原理:该线性稳压器的补偿主要是通过在前两级放大器之间插入一级源跟随器NAMOS1来实现的,此外,还在前一级放大器的输出部分加入了一个电阻R8,该电阻位于MP2的栅漏之间,通过该电阻可以将第一级的输出阻抗大大衰减。同时在这种情况下,流过R8上的电流很小,不会影响电路的静态工作点,R8衰减第一级放大器输出阻抗的原理如下:The compensation principle of the linear regulator is described in detail below: the compensation of the linear regulator is mainly realized by inserting a first-stage source follower NAMOS1 between the first two stages of amplifiers. A resistor R8 is partially added, which is located between the gate and drain of MP2, through which the output impedance of the first stage can be greatly attenuated. At the same time, in this case, the current flowing through R8 is very small and will not affect the static operating point of the circuit. The principle of R8 attenuating the output impedance of the first-stage amplifier is as follows:
从第一级的输出往里看,为了求小信号阻抗,可以得到如图2所示的等效小信号电路,通过小信号等效电路可以得出第一级运放输出电阻的大小约等于:Looking inward from the output of the first stage, in order to find the small-signal impedance, the equivalent small-signal circuit shown in Figure 2 can be obtained. Through the small-signal equivalent circuit, it can be concluded that the output resistance of the first-stage op amp is approximately equal to :
因为ro2远大于R8的值,因此第一级运放的输出电阻Ro1≈R8/2,与原输出电阻ro2相比大大减小了。Because ro2 is much larger than the value of R8, the output resistance Ro1≈R8/2 of the first-stage operational amplifier is greatly reduced compared with the original output resistance ro2.
为了求解线性稳压器整个环路的环路增益表达式,可以画出如图3所示的整个环路的小信号电路图,其中Ro1是第一级运放的输出电阻,C1是第一级运放输出对地的寄生等效电容,Cs是源跟随器NAMOS1的栅源之间的寄生电容,rs是NAMOS1的小信号输出电阻,Cg是功率管栅极对地的等效电容,因为功率管较大的尺寸,这一电容可以很大。gms是源跟随器的跨导。C2可以认为是线性稳压器外挂的大电容,在本线性稳压器中考虑C2为uF级。In order to solve the loop gain expression of the entire loop of the linear regulator, the small-signal circuit diagram of the entire loop can be drawn as shown in Figure 3, where Ro1 is the output resistance of the first stage op amp, and C1 is the first stage The parasitic equivalent capacitance of the op amp output to ground, Cs is the parasitic capacitance between the gate and source of the source follower NAMOS1, rs is the small signal output resistance of NAMOS1, and Cg is the equivalent capacitance of the power tube gate to ground, because the power The larger the size of the tube, this capacitor can be very large. gms is the transconductance of the source follower. C2 can be considered as a large capacitor attached to the linear regulator. In this linear regulator, C2 is considered to be uF level.
通过图3可以求得环路增益为:From Figure 3, the loop gain can be obtained as:
β是分压电阻的分压比。其中产生的右半平面零点很高,可以忽略,因为分母中一次项系数C2Ro2的值很高,因此可以得到该环路的主极点为:β is the voltage dividing ratio of the voltage dividing resistor. The resulting right half-plane zero point is very high and can be ignored because the value of the first-order coefficient C2Ro2 in the denominator is very high, so the main pole of the loop can be obtained as:
可见环路的主极点在输出处,这是符合预期的,但次级点的计算没有那么容易,此时因为过大的Cg导致分母中的等式后两个根并不是分离的实数,实际上此时后面两个根已经相互靠近,成为了一对共轭极点。该共轭极点的谐振频率可以近似表示为:It can be seen that the main pole of the loop is at the output, which is expected, but the calculation of the secondary point is not so easy. At this time, due to the excessive Cg, the last two roots of the equation in the denominator are not separate real numbers. At this time, the latter two roots are already close to each other and become a pair of conjugate poles. The resonant frequency of this conjugate pole can be approximately expressed as:
共轭极点在环路中会显著地降低相位裕度,因此希望尽可能地让其远离原点。此时可以看出,因为Cg较大,而源跟随器只用了一个普通MOS管,因此gms不够大,这将会使得共轭极点靠近原点,而有效的方法就是减小Ro1,这正是前述阻抗衰减电阻的意义所在。Ro1因为阻抗衰减电阻而大大地减小了,共轭极点因此被推离原点,保证了系统的稳定性。Conjugate poles can significantly reduce phase margin in the loop, so it is desirable to keep them as far from the origin as possible. At this point, it can be seen that because Cg is large, and the source follower only uses a common MOS tube, gms is not large enough, which will make the conjugate pole close to the origin, and the effective method is to reduce Ro1, which is exactly The significance of the aforementioned impedance attenuation resistors. Ro1 is greatly reduced due to the impedance attenuation resistance, and the conjugate pole is thus pushed away from the origin, ensuring the stability of the system.
在不使用阻抗衰减电阻的情况下,在线性稳压器满载时,即Ro2最小时,主极点距离原点最远,与后面的共轭极点靠得最近,因此稳定性最差,在不使用阻抗衰减技术的情况,即没有R8时,环路增益波特图如图4所示。此时可以看出共轭极点大约在50KHz附近。跟主极点靠的太近,此时环路的相位裕度大约为-30°,整个系统已经相当不稳定,此时在两级放大器之间插入源跟随器的补偿方法已经不能适用于该线性稳压器。In the case of not using the impedance attenuation resistor, when the linear regulator is fully loaded, that is, when Ro2 is the smallest, the main pole is the farthest from the origin, and is closest to the conjugate pole behind, so the stability is the worst. In the case of the attenuation technique, that is, without R8, the loop gain Bode plot is shown in Figure 4. At this point, it can be seen that the conjugate pole is around 50KHz. If it is too close to the main pole, the phase margin of the loop is about -30°, and the whole system is quite unstable. At this time, the compensation method of inserting a source follower between the two amplifiers cannot be applied to this linearity. Stabilizer.
在使用阻抗衰减电阻的情况下,同样在线性稳压器满载时,得到的环路增益波特图如图5所示。此时可以看到共轭极点大概被推到了805KHz左右,已经远在带宽之外,此时环路的相位裕度可以达到67°左右。In the case of using the impedance attenuation resistor, also when the linear regulator is fully loaded, the obtained Bode plot of the loop gain is shown in Figure 5. At this time, it can be seen that the conjugate pole is pushed to about 805KHz, which is far beyond the bandwidth. At this time, the phase margin of the loop can reach about 67°.
综上所述,使用这种新的频率补偿方法可以大大改善带片外电容的线性稳压器的相位裕度,同时仅仅增加了一个电阻,不会消耗过多的功耗和增加电路的复杂度,及其适合作为带片外电容线性稳压器的补偿方案来使用。In summary, the use of this new frequency compensation method can greatly improve the phase margin of linear regulators with off-chip capacitors, while only adding a resistor, will not consume excessive power consumption and increase the complexity of the circuit. It is suitable for use as a compensation scheme for linear regulators with off-chip capacitors.
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