CN113746334A - High-performance single-loop control method for switching power supply Buck converter - Google Patents

High-performance single-loop control method for switching power supply Buck converter Download PDF

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CN113746334A
CN113746334A CN202111054348.5A CN202111054348A CN113746334A CN 113746334 A CN113746334 A CN 113746334A CN 202111054348 A CN202111054348 A CN 202111054348A CN 113746334 A CN113746334 A CN 113746334A
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performance single
buck converter
power supply
switching power
loop
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CN113746334B (en
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张加海
牛浩
慕健
韩冬军
单曌国
周强
张金刚
李鹏
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State Grid Jibei Electric Power Co Ltd
Yantai Dongfang Wisdom Electric Co Ltd
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Yantai Dongfang Wisdom Electric Co Ltd
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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
    • H02M3/00—Conversion of dc power input into dc power output
    • H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
    • H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
    • H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators
    • 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
    • H02M1/36—Means for starting or stopping converters
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
    • Y02B70/10—Technologies improving the efficiency by using switched-mode power supplies [SMPS], i.e. efficient power electronics conversion e.g. power factor correction or reduction of losses in power supplies or efficient standby modes

Abstract

The invention discloses a high-performance single-loop control method for a switching power supply Buck converter, which comprises the following steps: establishing a state space average model of the Buck converter; obtaining an error dynamic system according to the state space model transformation; constructing a high-performance single-loop controller according to the error dynamic system; performing parameter setting on the high-performance single-loop controller; and generating a driving signal according to the high-performance single-loop controller and the PWM method to realize output voltage control. The invention avoids the problem of system instability caused by the derivation of the virtual variable by the existing nonlinear control strategy, reduces the calculation burden, improves the control performance of the system, improves the dynamic response speed of the output voltage, and has high response speed and high precision of the output voltage.

Description

High-performance single-loop control method for switching power supply Buck converter
Technical Field
The invention relates to a control method of a switching power supply, in particular to a high-performance single closed-loop control method of a Buck converter of the switching power supply.
Background
In recent years, the intelligent electric energy meter has acquired unprecedented development and application in China. The modern communication technology can be used for realizing remote real-time monitoring and management of power grid load, user data and electric energy meter states, which has great significance for implementation of national smart power grid strategy, and simultaneously has higher and higher requirements on hearts, namely power management chips. The conventional linear voltage regulator cannot meet the requirement of a high-efficiency system due to the power consumption problem presented by the large voltage difference. Due to the advantages of high efficiency and small size, the switching power supply is gradually applied to the low power field and replaces the market position of the linear voltage regulator, and the core component of the switching power supply is a Buck converter.
The Buck converter is complex in operation condition and strong in randomness, and is a complex nonlinear, multivariable, strong-coupling and parameter time-varying system. The traditional linear PI control strategy method cannot control the requirements, so that output voltage overshoot is easily caused, and even the smart meter is damaged. Although a nonlinear control strategy can meet certain control requirements, a voltage-current double-loop control structure is adopted, parameters are multiple, setting is complex, and practical application is difficult. Therefore, for the Buck converter, the research on a high-performance control strategy with a simple structure is significant.
Disclosure of Invention
The invention provides a high-performance single-loop control method for a switching power supply Buck converter, which aims to: the defects of the prior art are overcome, and the control performance of the Buck converter is improved.
The technical scheme of the invention is as follows:
a high-performance single-loop control method for a switching power supply Buck converter comprises the following steps:
s1: establishing a state space average model of the Buck converter;
s2: obtaining an error dynamic system according to the state space model transformation;
s3: constructing a high-performance single-loop controller according to the error dynamic system;
s4: performing parameter setting on the high-performance single-loop controller;
s5: and generating a driving signal according to the high-performance single-loop controller and the PWM method to realize output voltage control.
As a further improvement of the method, the state space average model in step S1 is:
Figure BDA0003254065380000021
Figure BDA0003254065380000022
wherein VinFor input voltage, VoTo output a voltage, iLIs the inductor current, u is the duty cycle of the controllable switch, L is the filter inductor, C is the DC side capacitor, and R is the load resistor.
As a further improvement of the method, in step S2, the error dynamic system is:
Figure BDA0003254065380000023
Figure BDA0003254065380000024
wherein
Figure BDA0003254065380000025
Is a reference output voltage, e is an output voltage tracking error, and i is a virtual state variable;
Figure BDA0003254065380000026
Figure BDA0003254065380000027
as a further improvement of the method, the high-performance single-loop controller in step S3 is
Figure BDA0003254065380000031
Wherein r, k1,k2Are control parameters.
As a further improvement of the method, step S4 specifically includes:
the first step is as follows: order to
Figure BDA0003254065380000032
Derived from the high performance single loop controller
Figure BDA0003254065380000033
Wherein
Figure BDA0003254065380000034
Selecting a parameter k1，k2Such that a is a stable matrix.
The second step is that: taking the Lyapunov function as V ═ xTPx, where P is a positive definite matrix, PA + ATP is less than or equal to-I, I is a unit matrix, and parameters are selected
Figure BDA0003254065380000035
So that
Figure BDA0003254065380000036
Compared with the prior art, the invention has the following beneficial effects: by introducing state transformation, a single-loop controller structure is directly given, the problem of system instability caused by derivation of a virtual variable by the existing nonlinear control strategy is avoided, and the calculation burden is reduced; parameter setting is carried out according to the Lyapunov stability analysis theory, a Buck converter error dynamic system tends to be stable at an exponential speed, the control performance of the system is improved, the dynamic response speed of output voltage is improved, and the output voltage is high in response speed and high in precision.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a control diagram of the present invention;
fig. 3 is an output voltage response waveform of the Buck converter in the starting stage.
Detailed Description
The technical scheme of the invention is explained in detail in the following with the accompanying drawings:
as shown in fig. 1, a high-performance single-loop control method for a switching power supply Buck converter includes the following steps:
s1: acquiring Buck converter element parameters and input voltage VinMeasuring the output voltage VoAnd the inductor current iLEstablishing a state space average model of the Buck converter:
Figure BDA0003254065380000041
wherein, L is a filter inductance, C is a direct current side capacitance, R is a load resistance, and u is a duty ratio of the controllable switch.
S2: defining output voltage tracking error
Figure BDA0003254065380000042
And virtual state variables
Figure BDA0003254065380000043
Obtaining an error dynamic system according to the state space model transformation:
Figure BDA0003254065380000044
wherein the content of the first and second substances,
Figure BDA0003254065380000045
is a reference output voltage.
S3: constructing a high-performance single-loop controller according to an error dynamic system:
Figure BDA0003254065380000051
wherein r, k1,k2Are control parameters.
S4: and analyzing the stability of the closed loop system and setting parameters according to the Lyapunov stability theory.
In particular, consider the following state transition with a control parameter r
Figure BDA0003254065380000052
According to (3) and (4), there can be obtained
Figure BDA0003254065380000053
Let x ═ x1,x2)TAnd (5) can be written as
Figure BDA0003254065380000054
Wherein the content of the first and second substances,
Figure BDA0003254065380000055
select k1，k2Such that A is a stable matrix, then there is a positive definite matrix P such that
PA+ATP≤-I (7)
Where I is the identity matrix.
Taking the Lyapunov function as V ═ xTPx, the derivative of which is calculated as
Figure BDA0003254065380000061
When r ≦ 1, the norm upper bound of φ may be expressed as
Figure BDA0003254065380000062
At this time, the derivative of V can be estimated as
Figure BDA0003254065380000063
Therefore, when parameters are selected such that
Figure BDA0003254065380000064
Then, can obtain
Figure BDA0003254065380000065
According to the Lyapunov principle of stability, the V index converges to 0, i.e. x1The exponent converges to 0. Since r is constant, V can be obtained by state transition (4)o-Vo refThe e index converges to 0.
S5: and generating a driving signal according to the high-performance single-loop controller and the PWM method to realize output voltage control.
In order to further illustrate the effectiveness of the control method, a system simulation model is built in Matlab for simulation research. As shown in fig. 2, the Buck converter parameters are selected such that the filter inductance L is 1.5mH, the load resistance R is 20 Ω, and the dc capacitance C is 470 μ F.
As shown in fig. 3, simulation results show that overshoot of the conventional PI dual-loop control strategy almost reaches 10V, and the dynamic response time is about 0.05 s. The Buck converter control method provided by the invention has the advantages that the output voltage is not overshot, the response time is only about 0.04s, and the switching power supply operates efficiently.
From the analysis, compared with the traditional PI dual-loop control strategy, the control method not only avoids the problem of system instability caused by derivation of the virtual control quantity, but also greatly improves the dynamic response speed of the output voltage, has high control precision and achieves the expected control effect.
The above description is only a preferred embodiment of the present invention, and the present invention is not limited to the above-mentioned embodiment. It should be noted that any equivalent substitution, obvious modification made by those skilled in the art under the teaching of this specification fall within the true scope of the present invention.

Claims (5)

1. A high-performance single-loop control method for a switching power supply Buck converter is characterized by comprising the following steps: the method comprises the following steps:
s1: establishing a state space average model of the Buck converter;
s2: obtaining an error dynamic system according to the state space model transformation;
s3: constructing a high-performance single-loop controller according to the error dynamic system;
s4: performing parameter setting on the high-performance single-loop controller;
s5: and generating a driving signal according to the high-performance single-loop controller and the PWM method to realize output voltage control.
2. The method for controlling the high-performance single loop of the Buck converter of the switching power supply as claimed in claim 1, wherein: step S1, the state space average model is:
Figure FDA0003254065370000011
Figure FDA0003254065370000012
wherein VinFor input voltage, VoTo output a voltage, iLIs the inductor current, u is the duty cycle of the controllable switch, L is the filter inductor, C is the DC side capacitor, and R is the load resistor.
3. The method for controlling the high-performance single loop of the Buck converter of the switching power supply as claimed in claim 2, wherein: step S2 the error dynamics system is:
Figure FDA0003254065370000013
Figure FDA0003254065370000014
wherein
Figure FDA0003254065370000015
Is a reference output voltage, e is an output voltage tracking error, and i is a virtual state variable;
Figure FDA0003254065370000016
Figure FDA0003254065370000021
4. the method for controlling the high-performance single loop of the Buck converter of the switching power supply as claimed in claim 3, wherein: in step S3, the high performance single-loop controller is
Figure FDA0003254065370000022
Wherein r, k1,k2Are control parameters.
5. The method for controlling the high-performance single loop of the Buck converter of the switching power supply as claimed in claim 4, wherein: step S4 specifically includes:
the first step is as follows: order to
Figure FDA0003254065370000023
x＝(x1,x2)TDerived from said high performance single loop controller
Figure FDA0003254065370000024
Wherein
Figure FDA0003254065370000025
Selecting a parameter k1，k2Such that a is a stabilization matrix;
the second step is that: taking the Lyapunov function as V ═ xTPx, where P is a positive definite matrix, PA + ATP is less than or equal to-I, I is a unit matrix, and parameters are selected
Figure FDA0003254065370000026
So that
Figure FDA0003254065370000027
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107040138A (en) * 2017-05-12 2017-08-11 东南大学 A kind of DC-DC down-converter recombination current about beam control method
CN109245518A (en) * 2018-09-13 2019-01-18 浙江工业大学 A kind of step-down type dc converter set time sliding-mode control
JP2019140899A (en) * 2018-02-13 2019-08-22 广州大学 Dc/dc converter stability analytical method and system
CN111600469A (en) * 2020-05-25 2020-08-28 合肥工业大学 Finite time control method based on current limitation of Buck converter

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107040138A (en) * 2017-05-12 2017-08-11 东南大学 A kind of DC-DC down-converter recombination current about beam control method
JP2019140899A (en) * 2018-02-13 2019-08-22 广州大学 Dc/dc converter stability analytical method and system
CN109245518A (en) * 2018-09-13 2019-01-18 浙江工业大学 A kind of step-down type dc converter set time sliding-mode control
CN111600469A (en) * 2020-05-25 2020-08-28 合肥工业大学 Finite time control method based on current limitation of Buck converter

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
杨晨 等: "Buck型变换器自适应有限时间降压控制算法研究", 《自动化学报》, vol. 42, no. 02, pages 316 - 318 *

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Effective date of registration: 20231101

Address after: No.6, Jindu Road, Laishan District, Yantai City, Shandong Province

Patentee after: YANTAI DONGFANG WISDOM ELECTRIC Co.,Ltd.

Patentee after: STATE GRID JIBEI ELECTRIC POWER Co.,Ltd.

Address before: No.6, Jindu Road, Laishan District, Yantai City, Shandong Province

Patentee before: YANTAI DONGFANG WISDOM ELECTRIC Co.,Ltd.