CN113904525A - PWM converter model parameter identification method and system based on frequency response - Google Patents
PWM converter model parameter identification method and system based on frequency response Download PDFInfo
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- CN113904525A CN113904525A CN202110937104.5A CN202110937104A CN113904525A CN 113904525 A CN113904525 A CN 113904525A CN 202110937104 A CN202110937104 A CN 202110937104A CN 113904525 A CN113904525 A CN 113904525A
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- 238000012360 testing method Methods 0.000 claims abstract description 13
- 238000005259 measurement Methods 0.000 claims abstract description 12
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M1/00—Details of apparatus for conversion
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
- G01R23/02—Arrangements for measuring frequency, e.g. pulse repetition rate; Arrangements for measuring period of current or voltage
- G01R23/06—Arrangements for measuring frequency, e.g. pulse repetition rate; Arrangements for measuring period of current or voltage by converting frequency into an amplitude of current or voltage
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/40—Testing power supplies
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Abstract
The invention discloses a PWM converter model parameter identification method and system based on frequency response, which comprises the steps of firstly loading a disturbance signal in a test circuit of frequency response data of a PWM converter for measurement to obtain the frequency response data of the PWM converter; then, importing the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and carrying out model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic conversion model of the PWM converter; and carrying out iterative calculation on a basic transformation model of the PWM converter until the correlation coefficient of the basic transformation model and the frequency response data is greater than a set threshold value, and outputting to obtain the frequency response model of the PWM converter. The frequency response model of the PWM converter does not need circuit parameters to participate in calculation, is easy to obtain, can reflect parasitic parameters in a circuit, and is more accurate.
Description
Technical Field
The invention relates to the technical field of PWM (pulse-width modulation) converters, in particular to a PWM converter model parameter identification method and system based on frequency response.
Background
The PWM converter is a high-order-discrete-nonlinear-time-varying system with closed-loop control, and the classical control theory cannot be directly used for analyzing the PWM converter, so that the dynamic characteristic analysis and the controller design of the PWM converter are not facilitated. The switching power supply based on the PWM converter topology is widely applied due to the characteristics of small volume, light weight and the like, but in the fields of communication, energy and the like, the switching power supply has strict requirements on the dynamic characteristics of the switching power supply; and the use of wide bandgap devices such as GAN and SIC provides a device foundation for the high frequency of the switching power supply, so that the controller designed by engineering design experience cannot meet the requirements of the high-performance switching power supply. Although there are many relevant researches on modeling and control theory of the PWM converter, the modeling process is mostly based on ideal devices, parasitic parameters of devices such as inductance and capacitance are ignored, and problems such as sampling delay in a digital controller are not considered, the frequency response model of the obtained PWM converter has a large difference with an actual circuit model, and it is difficult to analyze the performance and circuit parameters of the PWM converter through the basic mathematical model; even if the controller designed according to the model can meet the stability requirement of the system, the dynamic characteristic of the system is poor.
Disclosure of Invention
The invention provides a PWM converter model parameter identification method and system based on frequency response, and aims to overcome the technical defects.
In order to achieve the above technical object, a first aspect of the present invention provides a method for identifying parameters of a PWM converter model based on frequency response, which includes the following steps:
loading the disturbance signal in a test circuit of frequency response data of the PWM converter for measurement to obtain the frequency response data of the PWM converter;
importing the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and carrying out model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic conversion model of the PWM converter;
and carrying out iterative calculation on a basic transformation model of the PWM converter until the correlation coefficient of the basic transformation model and the frequency response data is greater than a set threshold value, and outputting to obtain the frequency response model of the PWM converter.
The invention provides a PWM converter model parameter identification system based on frequency response, which comprises the following functional modules:
the data measurement module is used for loading the disturbance signal in a test circuit of the frequency response data of the PWM converter for measurement to obtain the frequency response data of the PWM converter;
the model identification module is used for importing the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and performing model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic transformation model of the PWM converter;
and the iterative computation module is used for performing iterative computation on a basic transformation model of the PWM converter until a correlation coefficient of the basic transformation model and the frequency response data is greater than a set threshold value, and outputting to obtain the frequency response model of the PWM converter.
Compared with the prior art, the frequency response data of the switching power supply is obtained based on the actual circuit of the switching power supply, the model identification algorithm is adopted to carry out iterative calculation on the basic mathematical model of the PWM converter, and the frequency response model of the PWM converter under the actual working condition is obtained.
Drawings
FIG. 1 is a block flow diagram of a method for identifying parameters of a PWM converter model based on frequency response according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a circuit for testing frequency response data of a PWM converter according to an embodiment of the present invention;
FIG. 3 is a flowchart illustrating an iterative calculation in a method for identifying parameters of a PWM converter model based on frequency response according to an embodiment of the present invention;
FIG. 4 is a diagram of the iterative result of identification of a basic mathematical model of a 400W buck switching power supply;
FIG. 5 is a block diagram of a PWM converter model parameter identification system based on frequency response according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Aiming at the problem that the external network IP of a positioning network host has greater technical difficulty in the prior art, the invention provides a PWM converter model parameter identification method based on frequency response, as shown in figure 1, which comprises the following steps:
s1, loading the disturbance signal in a test circuit of the frequency response data of the PWM converter for measurement to obtain the frequency response data of the PWM converter;
s2, importing the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and carrying out model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic conversion model of the PWM converter;
and S3, performing iterative computation on a basic transformation model of the PWM converter until a correlation coefficient between the basic transformation model and the frequency response data is greater than a set threshold value, and outputting to obtain the frequency response model of the PWM converter.
FIG. 2 is a circuit for testing frequency response data of a PWM converter, as shown in FIG. 2, where VinIs the input voltage of the PWM converter, VoutIs the output voltage of the PWM converter, d is the duty cycle (control signal) of the PWM converter,
to add a perturbation signal on the duty cycle of the PWM converter,
for disturbance of output voltageNumber (n).
When the PWM converter is stably operated, the signal is disturbed
The coupling load is on the control signal of the test circuit of the frequency response data of the PWM converter, the control signal and the coupling load are jointly input to the control port of the PWM converter, and the disturbance signal in the output voltage is obtained through decoupling
From disturbance signals
And disturbance signal
Frequency response data of the PWM converter is obtained. Specifically, as shown in table 1, the frequency at each frequency point is obtained by frequency sweeping
Data table of ratios.
Table 1 shows frequency response data of a 400W buck switching power supply controlled to output voltage measured by the above method:
TABLE 1
In the process, the control disturbance signal is coupled into the effective control signal by a magnetic isolation method, and the output voltage signal and the voltage disturbance signal are decoupled and separated to realize the disturbance signal
With respect to normal operation of PWM converterIsolation and decoupling are achieved with signals.
At the same time, in order to shorten the measuring time and ensure the stability of the PWM converter, a disturbance signal is loaded on the control signal
Is small (typically 0.01V) and the perturbation signal
Is greater than 100HZ and less than half the switching frequency fs of the PWM converter, so that the disturbance signal
In the frequency range of
The model identification is a model which is equivalent to a tested system based on input and output data, in the invention, the input and output data are based on frequency response data of a switching power supply from control to output voltage, and the expected system equivalent model is a transfer function from control to output voltage; specifically, the method adopts a least square method to identify the basic mathematical model.
Firstly, setting a basic mathematical model of a PWM converter for controlling to output voltage, wherein the basic mathematical model of the PWM converter is expressed by adopting a description mode of zero and pole; where i represents the number of zeros and j represents the number of poles. In the present invention, the basic mathematical model sys is considered to be equivalent to the basic mathematical model of the switching power supply, and the formula is as follows:
wherein, biIs the position parameter of the ith zero on the frequency response curve, ajIs the location parameter of the jth pole on the frequency response curve,
is the static gain parameter of the mathematical model sys, s being a variable of frequency. The above equation (1) can represent a control model for controlling any one of the PWM converters to the output voltage, and since the PWM converter is an inertial system, n1≤n2。
The obtained frequency response data of the PWM converter is led into a basic mathematical model of the PWM converter, model identification is carried out on the basic mathematical model of the PWM converter through a model identification algorithm, the values of all parameters in the basic mathematical model sys can be obtained through the model identification algorithm, and a correlation coefficient R between the basic mathematical model sys obtained through system identification and system frequency response data obtained through tests2(ii) a Wherein the larger the correlation coefficient is, the closer the basic mathematical model sys is to the actual mathematical model of the PWM converter, and R is preferable2More than or equal to 90 percent; and obtaining a basic conversion model of the PWM converter according to the values of the parameters.
According to the principle that the simpler the basic mathematical model of the system is, the better the principle, the system is considered as the simplest first-order system, namely 1 pole and 0 zero (1P0Z), and the parameters and R of the system transfer function sys are determined by a model identification algorithm2If R is2If the zero pole is not satisfied by more than or equal to 90 percent, the number of the zero poles is further increased to be 1P1Z, 2P0Z, 2P1Z, 2P2Z, 3P0Z and 3P1Z … … for iterative operation until R is satisfied2And when the current basic mathematical model sys is output, the iterative calculation flow is shown in FIG. 3.
As shown in fig. 3, first, let i be 0 and j be 1 in the basic transformation model of the PWM converter, and change it into the simplest first-order inertia element (1P0Z), and then use the model identification algorithm to obtain the first-order inertia element most relevant to the frequency response model of the PWM converter, where R2< 90%, which indicates that the model identified by the model does not meet the requirements; and then, carrying out a second iteration process, changing the complexity of the basic transformation model of the PWM converter during the second iteration, namely i is 1, j is 1, wherein the basic transformation model is changed into the model structure of 1P1Z, and then continuing to adopt a model identification algorithm to obtain the 1P1Z model most related to the frequency response model of the PWM converter.
Before each iteration algorithm is executed, whether the universal model is an inertial system model needs to be judged, namely: j is larger than or equal to i, when the requirement is not met, j is increased by 1, i is equal to 0, after the iterative algorithm is executed once, the correlation coefficient R2 of the basic transformation model of the PWM converter obtained by judgment and the frequency response data obtained by measurement is needed, when the requirement is met, R2 is larger than or equal to 90%, the iterative process is stopped, the frequency response model of the PWM converter is output, otherwise, i is increased by 1, and then the iterative algorithm is continuously executed.
As shown in fig. 4, fig. 4 is a basic mathematical model identification iteration result of a 400W buck switching power supply. It can be seen that, through the above basic mathematical model identification process of the switching power supply, the algorithm is iterated 4 times, and when the basic mathematical model sys of 1P0Z is adopted, the equivalent model of the switching power supply from control to output voltage is obtained as
The correlation coefficient R2 is 35.82 percent, which does not meet the requirement; when the basic mathematical model sys of 1P1Z is adopted, the equivalent model of the switching power supply from control to output voltage is obtained as
The correlation coefficient R2 is 36.56 percent, and the requirement is not met; when the basic mathematical model sys of 2P0Z is adopted, the equivalent model of the switching power supply from control to output voltage is obtained as
The correlation coefficient R2 is 82.04 percent, and the requirement is not met; when the basic mathematical model sys of 2P1Z is adopted, the equivalent model of the switching power supply from control to output voltage is obtained as
And the correlation coefficient R2 is 99.8 percent, the requirement is met, and the iteration process is ended. Therefore, the basic mathematical model of the 400W buck switching power supply from control to output can be used
And equivalents thereof.
The frequency response data of the switching power supply is obtained based on the actual circuit of the switching power supply, iterative calculation is carried out on the basic mathematical model of the PWM converter by adopting the model identification algorithm, and the frequency response model of the PWM converter under the actual working condition is obtained.
As shown in fig. 5, an embodiment of the present invention further provides a PWM converter model parameter identification system based on frequency response, which includes the following functional modules:
the data measurement module 10 is configured to load the disturbance signal into a test circuit of the frequency response data of the PWM converter to perform measurement, so as to obtain the frequency response data of the PWM converter;
the model identification module 20 is configured to introduce the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and perform model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic transformation model of the PWM converter;
and the iterative computation module 30 is configured to perform iterative computation on a basic transformation model of the PWM converter, and output a frequency response model of the PWM converter until a correlation coefficient between the basic transformation model and the frequency response data is greater than a set threshold.
The implementation of the PWM converter model parameter identification system based on frequency response of this embodiment is substantially the same as the PWM converter model parameter identification method based on frequency response, and therefore will not be described in detail.
It is clear to those skilled in the art that, for convenience and brevity of description, the specific working processes of the above-described systems, apparatuses and units may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
The above-mentioned embodiments are only used for illustrating the technical solutions of the present invention, and not for limiting the same; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (10)
1. A PWM converter model parameter identification method based on frequency response is characterized by comprising the following steps:
loading the disturbance signal in a test circuit of frequency response data of the PWM converter for measurement to obtain the frequency response data of the PWM converter;
importing the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and carrying out model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic conversion model of the PWM converter;
and carrying out iterative calculation on a basic transformation model of the PWM converter until the correlation coefficient of the basic transformation model and the frequency response data is greater than a set threshold value, and outputting to obtain the frequency response model of the PWM converter.
2. The method for identifying the PWM converter model parameters based on the frequency response is characterized in that the disturbance signals are loaded in a test circuit of the frequency response data of the PWM converter for measurement, and the frequency response data of the PWM converter is obtained; the method comprises the following steps:
when the PWM converter is stably operated, the disturbance signal is generated
The coupling load is on the control signal of the test circuit of the frequency response data of the PWM converter, the control signal and the coupling load are jointly input to the control port of the PWM converter, and the disturbance signal in the output voltage is obtained through decoupling
From disturbance signals
And disturbance signal
Frequency response data of the PWM converter is obtained.
3. The method for identifying the model parameters of the frequency response-based PWM converter according to claim 2, wherein the control disturbance signal is coupled into the effective control signal by a magnetic isolation method, and the output voltage signal is decoupled from the voltage disturbance signal.
4. The method according to claim 2, wherein the frequency of the disturbance signal applied to the control signal is greater than 100HZ and less than half of the switching frequency fs of the PWM converter.
5. The method of claim 1, wherein the model of the PWM converter is identified by a least square method.
6. The method of claim 1, wherein before each iteration algorithm is executed, it is determined whether the fundamental transform model of the PWM converter is the inertial system model.
7. The method for identifying parameters of the frequency response-based PWM converter model according to claim 1, wherein after each iteration algorithm is performed, it is determined whether the correlation coefficient between the obtained basic conversion model and the frequency response data is greater than a predetermined threshold.
8. The method of claim 1, wherein the basic mathematical model of the PWM converter is equivalent to the basic mathematical model of the switching power supply.
9. The method of claim 1, wherein the larger the correlation coefficient between the fundamental transform model and the frequency response data, the closer the fundamental mathematical model of the PWM converter is to the actual mathematical model of the PWM converter.
10. A PWM converter model parameter identification system based on frequency response is characterized by comprising the following functional modules:
the data measurement module is used for loading the disturbance signal in a test circuit of the frequency response data of the PWM converter for measurement to obtain the frequency response data of the PWM converter;
the model identification module is used for importing the obtained frequency response data of the PWM converter into a basic mathematical model of the PWM converter, and performing model identification on the basic mathematical model of the PWM converter through a model identification algorithm to obtain a basic transformation model of the PWM converter;
and the iterative computation module is used for performing iterative computation on a basic transformation model of the PWM converter until a correlation coefficient of the basic transformation model and the frequency response data is greater than a set threshold value, and outputting to obtain the frequency response model of the PWM converter.
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| US6198246B1 (en) * | 1999-08-19 | 2001-03-06 | Siemens Energy & Automation, Inc. | Method and apparatus for tuning control system parameters |
| CN104980043A (en) * | 2014-04-03 | 2015-10-14 | 台达电子企业管理（上海）有限公司 | Power converter and power converter frequency characteristic testing and adjusting method |
| CN109119999A (en) * | 2018-07-24 | 2019-01-01 | 国家电网公司西北分部 | A kind of model parameters of electric power system discrimination method and device |
| CN109634211A (en) * | 2018-12-18 | 2019-04-16 | 华中科技大学 | AC servo identification Method and control system based on frequency data |
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6198246B1 (en) * | 1999-08-19 | 2001-03-06 | Siemens Energy & Automation, Inc. | Method and apparatus for tuning control system parameters |
| CN104980043A (en) * | 2014-04-03 | 2015-10-14 | 台达电子企业管理（上海）有限公司 | Power converter and power converter frequency characteristic testing and adjusting method |
| CN109119999A (en) * | 2018-07-24 | 2019-01-01 | 国家电网公司西北分部 | A kind of model parameters of electric power system discrimination method and device |
| CN109634211A (en) * | 2018-12-18 | 2019-04-16 | 华中科技大学 | AC servo identification Method and control system based on frequency data |
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