CN113381700B - RC parameter design method of high-frequency passive RC integral amplifier - Google Patents
RC parameter design method of high-frequency passive RC integral amplifier Download PDFInfo
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- CN113381700B CN113381700B CN202110726952.1A CN202110726952A CN113381700B CN 113381700 B CN113381700 B CN 113381700B CN 202110726952 A CN202110726952 A CN 202110726952A CN 113381700 B CN113381700 B CN 113381700B
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- 230000002068 genetic effect Effects 0.000 claims abstract description 14
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Classifications
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03F—AMPLIFIERS
- H03F1/00—Details of amplifiers with only discharge tubes, only semiconductor devices or only unspecified devices as amplifying elements
- H03F1/26—Modifications of amplifiers to reduce influence of noise generated by amplifying elements
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03F—AMPLIFIERS
- H03F3/00—Amplifiers with only discharge tubes or only semiconductor devices as amplifying elements
- H03F3/68—Combinations of amplifiers, e.g. multi-channel amplifiers for stereophonics
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Abstract
The invention discloses a RC parameter design method of a high-frequency passive RC integral amplifier, which comprises the following steps: step 1: calculating the effective value of the incomplete integral fixed deviation of the passive RC integral amplifier and the operational amplifier input voltage noise; step 2: and optimizing the relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise by means of a genetic algorithm, wherein when the relative comprehensive deviation is minimum, the corresponding RC value is the optimal RC value. The invention provides a relative comprehensive deviation e, which quantifies the deviation of an actual integral signal and an ideal integral signal and provides an identification standard for the optimal RC value. The invention uses genetic algorithm, and utilizes the optimizing function to quickly calculate and obtain the RC optimal value corresponding to the relative comprehensive deviation e.
Description
Technical Field
The invention relates to an RC parameter design method of a high-frequency passive RC integral amplifier.
Background
Passive RC integrator amplifiers are an effective solution when measuring the integration of high frequency small amplitude signals. The RC parameter selection of the RC circuit not only needs to meet the frequency band requirement of high-frequency small-amplitude signals so as to reduce incomplete integral fixed deviation, but also needs to reduce the influence of amplifier noise, and is an important parameter for judging whether the passive RC integral amplifier can work normally.
Disclosure of Invention
The invention aims to provide an RC parameter design method of a high-frequency passive RC integral amplifier, which reduces the relative comprehensive deviation caused by incomplete integral fixed deviation and operational amplifier input voltage noise to the minimum.
The invention aims at realizing the following technical scheme:
a RC parameter design method of a high-frequency passive RC integral amplifier comprises the following steps:
step 1: calculating an effective value of an incomplete integration fixed deviation of the passive RC integration amplifier and operational amplifier input voltage noise, wherein:
the incomplete integration fixed deviation of the passive RC integrating amplifier is:
|U1 real -U1 RC |；
wherein U1 RC After the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the effective value of the actual integrated output voltage (excluding noise) at the point B; u1 real After the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the effective value of the ideal integrated output voltage (excluding noise) at the point B; the point A is a high-frequency small-amplitude source signal, and the effective voltage value is U0; the point B is the point with the minimum voltage amplitude and the maximum noise influence in the circuit, and the effective voltage value is U1;
U1 real the calculation formula of (2) is as follows:
U1 RC the calculation formula of (2) is as follows:
wherein ω is the frequency of the source signal; r is the resistance of a resistor in the RC integrating circuit; c is the capacitance of a capacitor in the RC integrating circuit;
step 2: optimizing relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise by means of a genetic algorithm to obtain an optimal RC value, wherein:
the relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise is as follows:
e is the relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise; u1 noise For the effective value of the noise voltage of the operational amplifier at the point B, the calculation formula is as follows:
wherein e n Input voltage noise density for the operational amplifier;
and when the relative comprehensive deviation e is minimum, the corresponding RC value is the optimal RC value.
Compared with the prior art, the invention has the following advantages:
1. the invention provides a relative comprehensive deviation e, which quantifies the deviation of an actual integral signal and an ideal integral signal and provides an identification standard for the optimal RC value.
2. The invention uses genetic algorithm, and utilizes the optimizing function to quickly calculate and obtain the RC optimal value corresponding to the relative comprehensive deviation e.
Drawings
Fig. 1 is a circuit diagram of a passive RC integrating amplifier.
Detailed Description
The following description of the present invention is provided with reference to the accompanying drawings, but is not limited to the following description, and any modifications or equivalent substitutions of the present invention should be included in the scope of the present invention without departing from the spirit and scope of the present invention.
The invention provides a RC parameter design method of a high-frequency passive RC integral amplifier, which comprises the following steps:
step 1: the effective value of the incomplete integration fixed deviation of the passive RC integration amplifier and the operational amplifier input voltage noise is calculated.
As shown in fig. 1, point a is a high-frequency small-amplitude source signal, and the effective voltage value is U0; the point C is the integral amplification output of the source signal, and the effective voltage value is U2; and B is the point with the minimum voltage amplitude and the maximum noise influence in the circuit, the effective voltage value is U1, and the noise influence is analyzed at B, so that RC parameter design is carried out.
After the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the effective value U1 of the actual integrated output voltage (excluding noise) at the point B RC The method comprises the following steps:
wherein ω is the frequency of the source signal, rad/s; r is the resistance value of a resistor in the RC integrating circuit, and omega; c is the capacitance of the capacitor in the RC integrating circuit, F.
After the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the effective value U1 of the ideal integrated output voltage (excluding noise) at the point B real The method comprises the following steps:
then, deviation |U1 real -U1 RC And I is the incompletely integrated fixed deviation of the passive RC integration circuit.
Effective value U1 of noise voltage of operational amplifier at point B noise The method comprises the following steps:
wherein e n For the input voltage noise density of the operational amplifier,is determined by the model of the operational amplifier.
The voltage effective value U1 of the B-point voltage (including noise) is:
step 2: and optimizing the relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise by means of a genetic algorithm to obtain the optimal RC value.
The actual output voltage of the source signal passing through the passive RC integrating amplifier is U1, and the effective value U1 of the ideal integrated output voltage (excluding noise) at the point B after the source signal passes through the RC integrating circuit real Therefore, the relative integrated deviation e caused by the incomplete integration and the operational amplifier input voltage noise is as follows:
the RC value is changed, so that the relative comprehensive deviation e is minimized, and the rapid optimizing calculation can be carried out by means of a genetic algorithm, so that the optimal RC value is obtained.
In this step, the calling format of the calculation program of the genetic algorithm in MATLAB is:
wherein the function EE is a function for calculating the relative integrated deviation e,a lower value limit for RC; />The upper limit of the RC is taken as a value; options are attribute setting functions of genetic algorithm functions; [ RC ] best ,e min ]In e min Is the minimum value of the relative comprehensive deviation, RC best And the corresponding RC is optimally valued.
Examples:
in this embodiment, the point a high-frequency small-amplitude source signal features: effective value is 0.1V, frequency is 50MHz.
Step 1: the effective value of the incomplete integration fixed deviation of the passive RC integration amplifier and the operational amplifier input voltage noise is calculated.
According to the bandwidth requirement of 50MHz, selecting an operational amplifier: THS4302 input voltage noise density
Effective value U1 of noise voltage of operational amplifier at point B noise The method comprises the following steps:
after the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the effective value U1 of the actual integrated output voltage (excluding noise) at the point B RC The method comprises the following steps:
after the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the ideal integrated output voltage (excluding noise) at the point B is effectiveValue U1 real The method comprises the following steps:
the effective voltage value U1 of the actual voltage (including noise) at point B is:
step 2: and optimizing the relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise by means of a genetic algorithm to obtain the optimal RC value.
The relative integrated deviation e is:
the RC value is changed, so that the relative comprehensive deviation e is minimized, and the rapid optimizing calculation can be carried out by means of a genetic algorithm, so that the optimal RC value is obtained.
In this step, the calling format of the calculation program of the genetic algorithm in MATLAB is:
wherein the function EE is a calculation function of the relative integrated deviation e, e=ee (RC);a lower value limit for RC; />The upper limit of the RC is taken as a value; options are attribute setting functions of genetic algorithm functions; [ RC ] best ,e min ]In e min Is the minimum value of the relative comprehensive deviation, RC best And the corresponding RC is optimally valued.
The obtained relative comprehensive deviation e minimum value e is calculated by genetic algorithm min Is 0.51 percent, and the corresponding optimal RC takes on RC best 59.6ns.
Claims (4)
1. The RC parameter design method of the high-frequency passive RC integral amplifier is characterized by comprising the following steps of:
step 1: calculating an effective value of an incomplete integration fixed deviation of the passive RC integration amplifier and operational amplifier input voltage noise, wherein:
the incomplete integration fixed deviation of the passive RC integrating amplifier is:
；
wherein,U1 RC after a source signal with high frequency and small amplitude at the point A passes through an RC integrating circuit, the effective value of the voltage is output at the actual integration of the point B;U1 real after the source signal with high frequency and small amplitude at the point A passes through the RC integrating circuit, the effective value of the ideal integrated output voltage at the point B; the point A is a high-frequency small-amplitude source signal, and the effective voltage value isU0; the point B is the point with the minimum voltage amplitude and the maximum noise influence in the circuit, and the effective voltage value isU1；
Step 2: optimizing relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise by means of a genetic algorithm, and obtaining the optimal RC value by the corresponding RC value when the relative comprehensive deviation is minimum, wherein:
the relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise is as follows:
；
wherein,ethe relative comprehensive deviation caused by incomplete integration and operational amplifier input voltage noise is generated;U1 noise for the effective value of the operational amplifier noise voltage at point B,is the frequency of the source signal; />Is the input voltage noise density of the operational amplifier.
2. The RC parameter design method of a high-frequency passive RC integrating amplifier as recited in claim 1, wherein the steps ofU1 real The calculation formula of (2) is as follows:
；
wherein,is the frequency of the source signal; />The resistance value of a resistor in the RC integrating circuit is set; />Is the capacitance of the capacitor in the RC integrating circuit.
3. The RC parameter design method of a high-frequency passive RC integrating amplifier as recited in claim 1, wherein the steps ofU1 RC The calculation formula of (2) is as follows:
；
wherein,is the frequency of the source signal; />The resistance value of a resistor in the RC integrating circuit is set; />Is the capacitance of the capacitor in the RC integrating circuit.
4. The RC parameter design method of a high-frequency passive RC integrating amplifier as recited in claim 1, wherein the steps ofU1 noise The calculation formula of (2) is as follows:
；
wherein,is the frequency of the source signal; />Is the input voltage noise density of the operational amplifier.
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2000057550A2 (en) * | 1999-03-24 | 2000-09-28 | Lohn Jason D | System, method and computer program product for automated circuit design using linear genetic algorithms |
| CN102682336A (en) * | 2012-05-15 | 2012-09-19 | 哈尔滨工业大学 | Method for optimizing design on number of regulating stage nozzles of steam turbine based on improved genetic algorithm |
| CN203104395U (en) * | 2012-12-26 | 2013-07-31 | 陕西航天导航设备有限公司 | Integrator circuit |
| CN110245436A (en) * | 2019-06-19 | 2019-09-17 | 山东大学 | A kind of Parallel Simulation circuit optimization method based on genetic algorithm and machine learning |
| CN111856282A (en) * | 2019-04-19 | 2020-10-30 | 武汉理工大学 | Vehicle-mounted lithium battery state estimation method based on improved genetic unscented Kalman filtering |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109917298A (en) * | 2017-12-13 | 2019-06-21 | 北京创昱科技有限公司 | A kind of cell charge state prediction method and system |
-
2021
- 2021-06-29 CN CN202110726952.1A patent/CN113381700B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2000057550A2 (en) * | 1999-03-24 | 2000-09-28 | Lohn Jason D | System, method and computer program product for automated circuit design using linear genetic algorithms |
| CN102682336A (en) * | 2012-05-15 | 2012-09-19 | 哈尔滨工业大学 | Method for optimizing design on number of regulating stage nozzles of steam turbine based on improved genetic algorithm |
| CN203104395U (en) * | 2012-12-26 | 2013-07-31 | 陕西航天导航设备有限公司 | Integrator circuit |
| CN111856282A (en) * | 2019-04-19 | 2020-10-30 | 武汉理工大学 | Vehicle-mounted lithium battery state estimation method based on improved genetic unscented Kalman filtering |
| CN110245436A (en) * | 2019-06-19 | 2019-09-17 | 山东大学 | A kind of Parallel Simulation circuit optimization method based on genetic algorithm and machine learning |
| WO2020253055A1 (en) * | 2019-06-19 | 2020-12-24 | 山东大学 | Parallel analog circuit optimization method based on genetic algorithm and machine learning |
Non-Patent Citations (9)
| Title |
|---|
| 一种无源滤波器的优化设计方法;魏伟 等;《电力自动化设备》;20120131;第32卷(第01期);62-66 * |
| 动态自适应遗传算法在模拟电路中的应用;王硕;《东莞理工学院学报》;20160615;第23卷(第03期);16-20 * |
| 基于对策论和遗传算法的有源RC滤波器设计方法;洪晓芳 等;《山东大学学报(理学版)》;20170515(第05期);30-33+49 * |
| 基于最小能耗的一种锂电池充电策略;黄柯 等;《电源技术》;20200430;第44卷(第04期);541-544+612 * |
| 基于自适应遗传算法的无源电力滤波器综合优化方法;赵曙光 等;《中国电机工程学报》;20140415;第24卷(第7期);173-176 * |
| 基于遗传算法的抽汽供热机组间的热电负荷分配优化研究;柏春光 等;《节能技术》;20140630;第32卷(第03期);201-204 * |
| 基于遗传算法的模拟电路优化设计方法研究;于健海;《中国优秀博硕士学位论文全文数据库(博士)信息科技辑》;20140415(第04(2014年)期);I135-28 * |
| 宋文南 等.《电力系统谐波分析》.《电力系统谐波分析》.水利电力出版社,1995,(第1版),137-139. * |
| 王晓华 等.《电工电子技术及应用》.《电工电子技术及应用》.西安电子科技大学出版社,2016,(第1版),203-204. * |
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