CN106941354B - Hardware circuit correction method based on mathematical fitting - Google Patents
Hardware circuit correction method based on mathematical fitting Download PDFInfo
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- CN106941354B CN106941354B CN201710249513.XA CN201710249513A CN106941354B CN 106941354 B CN106941354 B CN 106941354B CN 201710249513 A CN201710249513 A CN 201710249513A CN 106941354 B CN106941354 B CN 106941354B
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M1/00—Analogue/digital conversion; Digital/analogue conversion
- H03M1/10—Calibration or testing
- H03M1/1009—Calibration
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Programme-control systems
- G05B19/02—Programme-control systems electric
- G05B19/04—Programme control other than numerical control, i.e. in sequence controllers or logic controllers
- G05B19/042—Programme control other than numerical control, i.e. in sequence controllers or logic controllers using digital processors
- G05B19/0426—Programming the control sequence
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/20—Pc systems
- G05B2219/23—Pc programming
- G05B2219/23201—Value is analog signal
Abstract
The invention relates to a hardware circuit correction method based on mathematical fitting, which comprises the following steps: obtaining actual output values and theoretical output values of different voltage analog quantities; fitting the obtained data to obtain a correction compensation function; and editing the obtained correction compensation function into the MCU, and correcting and compensating the hardware circuit in a software mathematical fitting mode. The invention aims at transmitting relevant information among various systems in a measurement and control system by frequently adopting a voltage analog quantity isolation mode, overcomes the defect of larger deviation between the actual output value and the theoretical output value of the analog quantity, realizes the technical effects of smaller error and high linearity of the corrected voltage output value, and greatly improves the accuracy of information transmission.
Description
Technical Field
The invention relates to the technical field of circuits, in particular to a hardware circuit correction method based on mathematical fitting.
Background
The measurement and control system often transmits relevant information in a voltage analog quantity mode. In the process of voltage analog transmission between systems, in order to avoid mutual interference between systems and protection between systems, it is often required that voltage analog output between systems is isolated and output. The voltage analog quantity output flow chart of the system is shown in figure 1.
In the system, the MCU controls the D/A chip to output corresponding voltage analog quantity, and the voltage analog quantity output by the D/A chip is directly output after passing through the modulation circuit 1, the isolation optocoupler and the modulation circuit 2. Because the voltage analog quantity output by the D/A chip has more links after being processed and the linearity problem of the isolation optocoupler, the actual output value of the voltage analog quantity and the theoretical output value often have larger deviation and need to be corrected.
Disclosure of Invention
In view of the foregoing analysis, the present invention aims to provide a hardware circuit correction method based on mathematical fitting, so as to solve the problems that the actual output value of the voltage analog quantity and the theoretical output value have a large deviation, and the like, because the voltage analog quantity signal output by the measurement and control system needs to be processed by the modulation circuit and the isolation circuit.
The purpose of the invention is mainly realized by the following technical scheme:
in one embodiment of the method according to the present invention, there is provided a method for correcting a hardware circuit based on mathematical fitting, the hardware circuit comprising: MCU, DA chip, modulation circuit 1, keep apart opto-coupler, modulation circuit 2, MCU control DA chip output corresponding voltage analog quantity, the voltage analog quantity of DA chip output directly exports behind modulation circuit 1, keep apart opto-coupler, modulation circuit 2, and the correction method includes the step:
s1, acquiring actual output values and theoretical output values of different voltage analog quantities;
s2, fitting the data obtained in the S1 to obtain a correction compensation function;
and S3, editing the correction compensation function obtained in the S2 into the MCU, and correcting and compensating the hardware circuit in a software mathematical fitting mode.
In another embodiment based on the method of the present invention, the modulation circuit 1 comprises an operational amplifier D2A, capacitors C2, C5, resistors R4, R5; one end of the R5 is an input end, the other end is connected with the inverting input end of the D2A and one end of the C5, one end of the C5 is a first output end of the modulation circuit 1, the other end of the C5 is connected with the output end of the D2A and one end of the R4, the other end of the R4 is a second output end of the modulation circuit 1, a positive power supply of the D2A is connected with a +5V power supply and one end of the C2, and the other end of the C2, a positive input end of the D2A and a negative power supply end of the D2A are grounded; the modulation circuit 2 comprises operational amplifiers D4 and D4, capacitors C, C and C, resistors R, R and D4, wherein the reverse input ends of the resistors R, R and D4 are input ends of the modulation circuit 2, the reverse input ends are connected with one end of the capacitor C and one end of the capacitor R, the output end of the capacitor D4 is connected with the other end of the capacitor R and the other end of the capacitor C, the forward input end of the capacitor D4 is grounded, one end of the capacitor R is connected with the output end U of the capacitor D4, the other end of the capacitor R is connected with the forward input end of the capacitor R, the output end of the capacitor D4 is connected with the other end of the capacitor C, the output end of the capacitor D4 is connected with the other end of the capacitor R, the other end of the capacitor R is connected with the forward input end of the capacitor R, the output end of the capacitor R is connected with the output end of the capacitor, the negative power supply of D4A is connected to-12V power supply and to one end of C7, and the other end of C7 is connected to ground.
In another embodiment based on the method of the present invention, step S1 specifically includes:
s11, setting a theoretical output value of the voltage analog quantity;
s12, compiling a program which can theoretically measure a theoretical output value at an output end, and editing the program into an MCU;
and S13, measuring the actual output value of the voltage analog quantity.
In another embodiment based on the method of the present invention, step S2 specifically includes:
s21, fitting the actual output value of the voltage analog quantity with the theoretical output value to obtain a fitting function;
s22, performing inverse solution on the fitting function obtained in the step S21 to obtain corresponding output voltage values corresponding to the theoretical output values of the function with different voltage analog quantities;
and S23, processing the theoretical output value of the voltage analog quantity and the value of the voltage to be output, and fitting a correction compensation function.
In another embodiment based on the method of the present invention, step S3 specifically includes: and editing the correction compensation function into the MCU as software compensation, calling the function when the MCU outputs analog quantity, and correcting the nonlinearity of the hardware circuit, wherein the voltage analog quantity output by the system is the voltage analog quantity corrected by mathematical fitting.
In another embodiment of the method according to the present invention, the fitting specifically comprises:
after two groups of data needing to be fitted are recorded in Excel, the two groups of data are processed by using the function fitting function of Excel, and a mathematical function between the two groups of data is fitted.
In another embodiment based on the method of the present invention, in step S11, the theoretical output value should be a uniform value within the range of the analog quantity of the system output voltage.
In another embodiment based on the method of the present invention, the output voltage values corresponding to the theoretical output values of the different voltage analog quantities of the function obtained in step S22 are specifically:
the function y obtained in step S21 is obtained by interchanging the independent variable and the dependent variable in position in Ax + B
Substituting the theoretical output value of the voltage analog quantity in the set X into the function
And correspondingly solving a sequence of the voltage value x 'to be output, wherein the solved x' is the voltage value to be output required by the D/A chip when the voltage analog quantity isolation output circuit needs to obtain an actual output value.
The invention has the following beneficial effects:
the invention aims at transmitting relevant information among various systems in a measurement and control system by frequently adopting a voltage analog quantity isolation mode, overcomes the defect of larger deviation between the actual output value and the theoretical output value of the analog quantity, realizes the technical effects of smaller error and high linearity of the corrected voltage output value, and greatly improves the accuracy of information transmission.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
Drawings
The drawings are only for purposes of illustrating particular embodiments and are not to be construed as limiting the invention, wherein like reference numerals are used to designate like parts throughout.
FIG. 1 is a flow chart of system voltage analog output;
FIG. 2 is a hardware circuit diagram according to an embodiment of the present invention;
FIG. 3 is a flowchart of a calibration method according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of voltage analog measurement;
FIG. 5 is a curve fitting the actual output value of the voltage analog quantity to the theoretical output value;
FIG. 6 is a fitting curve of the actual output value of the voltage analog quantity and the voltage value to be output;
FIG. 7 is a curve fitting the theoretical output value of the voltage analog to the voltage value;
fig. 8 is a flow chart of the corrected system voltage analog output.
Detailed Description
The preferred embodiments of the present invention will now be described in detail with reference to the accompanying drawings, which form a part hereof, and which together with the embodiments of the invention serve to explain the principles of the invention. The MCU mentioned in the embodiment of the invention comprises hardware equipment such as a singlechip or a digital processing unit and the like.
According to an embodiment of the present invention, a method for correcting a hardware circuit based on mathematical fitting is disclosed, the hardware circuit comprising: MCU, DA chip, modulation circuit 1, keep apart opto-coupler, modulation circuit 2, MCU control DA chip output corresponding voltage analog quantity, the voltage analog quantity of DA chip output directly exports behind modulation circuit 1, keep apart opto-coupler, modulation circuit 2, and the correction method specifically includes as shown in fig. 2:
s1, acquiring actual output values and theoretical output values of different voltage analog quantities of the hardware circuit;
s2, fitting the data obtained in the S1 to obtain a correction compensation function;
and S3, editing the correction compensation function obtained in the S2 into the MCU, and correcting and compensating the hardware circuit in a mathematical fitting mode.
The modulation circuit 1 comprises an operational amplifier D2A, capacitors C2 and C5, and resistors R4 and R5; one end of the R5 is an input end, the other end is connected with the inverting input end of the D2A and one end of the C5, one end of the C5 is a first output end of the modulation circuit 1, the other end of the C5 is connected with the output end of the D2A and one end of the R4, the other end of the R4 is a second output end of the modulation circuit 1, the positive power supply of the D2A is connected with the +5V power supply and one end of the C2, and the other end of the C2, the positive input end of the D2A and the negative power supply end of the D2A are grounded.
Preferably, R4 is 220 Ω, R5 is 100k Ω, C2 is 0.1uF, and C5 is 1 nF.
The modulation circuit 2 comprises operational amplifiers D4 and D4, capacitors C, C and C, resistors R, R and D4, wherein the reverse input ends of the resistors R, R and D4 are input ends of the modulation circuit 2, the reverse input ends are connected with one end of the capacitor C and one end of the capacitor R, the output end of the capacitor D4 is connected with the other end of the capacitor R and the other end of the capacitor C, the forward input end of the capacitor D4 is grounded, one end of the capacitor R is connected with the output end U of the capacitor D4, the other end of the capacitor R is connected with the forward input end of the capacitor R, the output end of the capacitor D4 is connected with the other end of the capacitor C, the output end of the capacitor D4 is connected with the other end of the capacitor R, the other end of the capacitor R is connected with the forward input end of the capacitor R, the output end of the capacitor R is connected with the output end of the capacitor, the negative power supply of D4A is connected to-12V power supply and to one end of C7, and the other end of C7 is connected to ground.
Preferably, R2 is 100K Ω, R3 is 50K Ω, R6 is 10K Ω, R7 is 510 Ω, R8 is 1K Ω, R9 is 49K Ω, R10 is 10K Ω, C3 is 1nF, C4 is 0.1uF, C6 is 0.01uF, and C7 is 0.1 uF.
And the isolation optocoupler is HCNR 201-300.
Wherein, step S1 specifically includes:
when recording the actual output value of the voltage analog quantity, in order to make the functional relationship between the actual output value and the theoretical output value of the voltage analog quantity more accurate and make the error between the actual output value and the theoretical output value of the voltage analog quantity after fitting as small as possible, a voltmeter or other voltage measuring equipment with higher precision is selected to measure the output voltage on the premise of meeting the precision of practical application. As shown in fig. 2. In order to obtain higher linearity in the range of the system output voltage analog quantity, theoretical output values are uniformly valued in the range of the system output voltage analog quantity, after the theoretical output values are set, a program which can theoretically measure the theoretical output values at an output end is compiled, the program is edited into an MCU, and actual output voltage quantity is measured at the output end of a circuit through a voltmeter or other voltage measuring equipment. Under the condition that the condition allows, the number of the taken record points should be as many as possible, so that the fitted mathematical function can reflect the relationship between the actual output value and the theoretical output value of the voltage analog quantity more truly.
Preferably, for convenience of data recording and data processing, data points to be recorded are recorded in Excel when data are recorded, a row of theoretical output values of the voltage analog quantity is recorded and defined as a set X, and a row of actual output values of the voltage analog quantity is recorded and defined as a set Y.
Step S2 specifically includes:
step S21, fitting the actual output value of the voltage analog quantity with the theoretical output value to obtain a fitting function;
and processing the actual output value and the theoretical output value of the voltage analog quantity, and fitting a mathematical function between the theoretical output value and the actual output value of the voltage analog quantity, wherein the mathematical function is used as an input function and an output function of the voltage analog quantity isolation output circuit.
Preferably, as shown in fig. 4, after actual output values and theoretical output values of different voltage analog quantities are recorded in Excel, the actual output values and the theoretical output values of the voltage analog quantities are processed by using a function fitting function of Excel itself, and a mathematical function y between the theoretical output values and the actual output values of the voltage analog quantities is fitted to be Ax + B, where y is the actual output value of the voltage analog quantity and x is the theoretical output value of the voltage analog quantity. The mathematical function is the input and output function of the voltage analog quantity isolation output circuit.
S22, obtaining corresponding output voltage values corresponding to the theoretical output values of the function with different voltage analog quantities according to the fitting function obtained in the step S21;
the function y obtained in step S21 is obtained by interchanging the independent variable and the dependent variable in position in Ax + B
The voltage analog quantity in the set X is theoretically outputSubstituting the output value into a function
Y ' in (a), a sequence of voltage values X ' to be output is solved accordingly, defined as a set X '. And solving x' to obtain the required output voltage value of the D/A chip when the voltage analog quantity isolation output circuit needs to obtain the actual output value. In order to facilitate data recording and data processing, data points to be recorded are recorded in Excel when data are recorded, actual output values of voltage analog quantities are recorded in a row, and voltage values to be output are recorded in a row. As shown in fig. 5.
And step S23, processing the theoretical output value of the voltage analog quantity and the value of the voltage to be output, and fitting a mathematical function between the theoretical output value of the voltage analog quantity and the value of the voltage to be output, wherein the mathematical function is a correction compensation function.
Preferably, after different theoretical output values of the voltage analog quantity and voltage values to be output are recorded in Excel, a function fitting function of Excel is applied to process a set X of the theoretical output values of the voltage analog quantity and a set X ' of the voltage values to be output, and a mathematical function X ' ═ Cx + D of the theoretical output values and the voltage values to be output is fitted, wherein X ' is the voltage value to be output, and X is the theoretical output value of the voltage analog quantity. The correction compensation function is a mathematical function of the theoretical output value of the voltage analog quantity and the value of the voltage to be output. As shown in fig. 6.
S3, editing the correction compensation function obtained in the S2 into the MCU, and correcting and compensating the hardware circuit in a mathematical fitting mode;
and a correction compensation function x' obtained through mathematical fitting is Cx + D, the function is used as software compensation and edited into the MCU, the MCU calls the function when analog quantity is output, the nonlinearity of a hardware circuit is corrected, and the voltage analog quantity output by the system is the voltage analog quantity corrected through mathematical fitting. As shown in fig. 7.
Table 1 compares the output before and after the software mathematical fit correction.
TABLE 1 software mathematics fitting input-output relationship before and after correction
The comparison shows that the voltage output value error after the software mathematical fitting correction is smaller and the linearity is high.
Has the advantages that: the invention aims at transmitting relevant information among various systems in a measurement and control system by frequently adopting a voltage analog quantity isolation mode, overcomes the defect of larger deviation between the actual output value and the theoretical output value of the voltage analog quantity, realizes the technical effects of smaller error and high linearity of the corrected voltage output value, and greatly improves the accuracy of information transmission.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention.
Claims (7)
1. A method for correcting a hardware circuit based on mathematical fitting, the hardware circuit comprising: MCU, DA chip, modulation circuit 1, keep apart opto-coupler, modulation circuit 2, MCU control DA chip output corresponding voltage analog quantity, the voltage analog quantity of DA chip output directly exports behind modulation circuit 1, keep apart opto-coupler, modulation circuit 2, the correction method includes the step:
s1, acquiring actual output values and theoretical output values of different voltage analog quantities of the hardware circuit;
s2, fitting the data obtained in the S1 to obtain a correction compensation function;
s3, editing the correction compensation function obtained in the S2 into the MCU for correcting and compensating the hardware circuit;
wherein, the step S2 specifically includes:
s21, fitting the actual output value of the voltage analog quantity with the theoretical output value to obtain a fitting function;
s22, obtaining corresponding output voltage values corresponding to the theoretical output values of the function with different voltage analog quantities according to the fitting function obtained in the step S21;
and S23, processing the theoretical output value of the voltage analog quantity and the value of the voltage to be output, and fitting a correction compensation function.
2. The method according to claim 1, wherein the modulation circuit 1 comprises an operational amplifier D2A, capacitors C2, C5, resistors R4, R5; one end of the R5 is an input end, the other end is connected with the inverting input end of the D2A and one end of the C5, one end of the C5 is a first output end of the modulation circuit 1, the other end of the C5 is connected with the output end of the D2A and one end of the R4, the other end of the R4 is a second output end of the modulation circuit 1, a positive power supply of the D2A is connected with a +5V power supply and one end of the C2, and the other end of the C2, a positive input end of the D2A and a negative power supply end of the D2A are grounded;
the modulation circuit 2 comprises operational amplifiers D4A and D4B, capacitors C3, C4, C6 and C7, resistors R2, R3, R6, R7, R8, R9 and R10, wherein the reverse input end of D4B is the input end of the modulation circuit 2, the reverse input end is connected with one end of C3 and one end of R2, the output end of D4 2 is connected with the other end of R2 and the other end of C2, the forward input end of D4 2 is grounded, one end of R2 is connected with the output end U of D4 2, the other end of R2 is connected with one end of R2 and the forward input end of D4 2, the other end of R2 is grounded, one end of R2 is connected with 2.5V voltage, the other end of R2 is connected with one end of R2 and the reverse input end of D4 2, the other end of R2 is connected with the output end of R2, the other end of R2 is connected with the positive output end of R2, the C2 is connected with the ground, the other end of the power supply circuit 2, the other end of the C2 is connected with the C2, the other end of the power supply is connected with the C36, the negative power supply of D4A is connected to-12V power supply and to one end of C7, and the other end of C7 is connected to ground.
3. The method according to claim 1, wherein the step S1 specifically includes:
s11, setting a theoretical output value of the voltage analog quantity;
s12, compiling a program theoretically obtaining a theoretical output value at an output end, and compiling the program into an MCU;
and S13, measuring the actual output value of the voltage analog quantity.
4. The method according to claim 1, wherein the step S3 specifically includes: and editing the correction compensation function into the MCU as software compensation, calling the function when the MCU outputs analog quantity, and correcting the nonlinearity of the hardware circuit, wherein the voltage analog quantity output by the system is the voltage analog quantity corrected by mathematical fitting.
5. The method of claim 1, wherein said fitting specifically comprises:
after two groups of data needing to be fitted are recorded in Excel, the two groups of data are processed by using the function fitting function of Excel, and a mathematical function between the two groups of data is fitted.
6. The method according to claim 3, wherein in step S11, the theoretical output value should be uniform within the range of the system output voltage analog quantity.
7. The method according to claim 1, wherein the step S22 of obtaining the corresponding output voltage values corresponding to the theoretical output values of the different voltage analog quantities of the function specifically includes:
inverting the fitting function y obtained in step S21 to obtain a function y
Substituting the theoretical output value of the voltage analog quantity in the set X into the function
And correspondingly solving a sequence of the voltage value x 'to be output, wherein the solved x' is the voltage value to be output required by the D/A chip when the voltage analog quantity isolation output circuit needs to obtain an actual output value.
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| CN107835019B (en) * | 2017-08-31 | 2021-06-08 | 北京时代民芯科技有限公司 | Factory calibration system and calibration method of high-precision digital-to-analog converter |
| CN112165328B (en) * | 2020-09-03 | 2022-05-13 | 三诺生物传感股份有限公司 | ADC digital-to-analog conversion error correction method, device and medium |
| CN112182493B (en) * | 2020-09-17 | 2024-01-09 | 深圳市显控科技股份有限公司 | Analog quantity calibration method, analog quantity calibration device, electronic equipment and storage medium |
| CN113055007A (en) * | 2021-03-25 | 2021-06-29 | 深圳前海维晟智能技术有限公司 | Low-cost zero-delay SAR-ADC hardware correction algorithm |
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