CN107482912A - The method that the Buck circuit stabilities of peak-current mode are improved based on the k factors - Google Patents
The method that the Buck circuit stabilities of peak-current mode are improved based on the k factors Download PDFInfo
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- CN107482912A CN107482912A CN201610929357.7A CN201610929357A CN107482912A CN 107482912 A CN107482912 A CN 107482912A CN 201610929357 A CN201610929357 A CN 201610929357A CN 107482912 A CN107482912 A CN 107482912A
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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
- H02M3/158—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 including plural semiconductor devices as final control devices for a single load
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- Dc-Dc Converters (AREA)
Abstract
The method that the Buck circuit stabilities of peak-current mode are improved based on the k factors, it is related to the method for improving Buck circuit stabilities, can not meets actual demand in order to which the stability for the Buck circuits for solving the problems, such as to use peak-current mode is low.This method comprises the following steps：Based on the compensation network of MATLAB emulation Buck circuits, Bode diagram is obtained；According to the actual requirements, zero point and limit are added in Bode diagram based on the k factors；The transmission function of network is compensated based on MATLAB；The parameter of each element in compensation network is calculated according to transmission function；According to parameters obtained design compensation network.The present invention is applied to improve the stability of the Buck circuits of peak-current mode.
Description
Technical field
The present invention relates to the method for improving Buck circuit stabilities.
Background technology
In the occasion such as household electrical appliance and industrial production, it is necessary to which industrial-frequency alternating current is converted into direct current and then is used.
Basic topology of the non-isolated Buck circuits as DC-DC, due to simple in construction, cost is cheap, has extensively in above occasion
Application.Using peak value comparison method Buck circuits, compared to average-current mode, it has and can effectively prevent magnetic bias, compensation
The advantages that network is simple, stability is strong.Current mode Buck circuits include two feedback loops：By receiving output voltage sampled signal
The outer voltage and an electric current being made up of the PWM comparators for receiving loop peak point current sampled signal that error amplifier is formed
Inner ring.Unlike voltage mode, current-mode Buck circuits are directly controlled to output current peak value, have response
It hurry up, prevent magnetic bias from causing magnetic saturation, compensate the advantages that network is simple.But use the stabilization of the Buck circuits of peak-current mode
Property constrains its development, how to improve the problem of turning into urgent need to resolve using the stability of the Buck circuits of peak-current mode.
The content of the invention
The invention aims to solve that low reality can not be met using the stability of the Buck circuits of peak-current mode
The problem of border demand, so as to provide the method for the Buck circuit stabilities that peak-current mode is improved based on the k factors.
The method of the Buck circuit stabilities of the present invention that peak-current mode is improved based on the k factors, this method bag
Include following steps：
Based on the compensation network of MATLAB emulation Buck circuits, Bode diagram is obtained；
According to the actual requirements, zero point and limit are added in Bode diagram based on the k factors；
The transmission function of network is compensated based on MATLAB；
The parameter of each element in compensation network is calculated according to transmission function；
According to parameters obtained design compensation network.
Preferably, compensation network includes resistance R1, resistance R2, electric capacity C1, electric capacity C2 and error amplifier；
Resistance R1 one end is as voltage feedback signal input, the resistance R1 other end and resistance R2 one end and electric capacity
C2 one end is connected, and resistance R1, resistance R2, electric capacity C2 common port are connected with the inverting input of error amplifier, resistance R2
The other end be connected with electric capacity C1 one end, electric capacity the C1 other end, the electric capacity C2 other end and the output end of error amplifier
It is connected, and as the output end of error signal, the input termination+2.5V voltages in the same direction of error amplifier.
The method of the Buck circuit stabilities of the present invention that peak-current mode is improved based on the k factors, is based on
MATLAB simulation softwares, by adding zero point and limit in Bode diagram, the parameter of element is obtained, finally gives and meets needs
Buck circuit stabilities, method of the invention is simple to operate, is easy to implement.
The present invention is applied to improve the stability of the Buck circuits of peak-current mode.
Brief description of the drawings
Fig. 1 is the Buck circuit stabilities that peak-current mode is improved based on the k factors described in embodiment one
The flow chart of method；
Fig. 2 is the Bode diagram that non-timing obtains in embodiment one；
Fig. 3 is the Bode diagram obtained after being corrected in embodiment one；
Fig. 4 is the structural representation of the compensation network in embodiment two.
Embodiment
Embodiment one：Illustrate present embodiment with reference to Fig. 1 to Fig. 3, described in present embodiment based on k because
The method that son improves the Buck circuit stabilities of peak-current mode, this method comprise the following steps：
Based on the compensation network of MATLAB emulation Buck circuits, Bode diagram is obtained；
According to the actual requirements, zero point and limit are added in Bode diagram based on the k factors；
The transmission function of network is compensated based on MATLAB；
The parameter of each element in compensation network is calculated according to transmission function；
According to parameters obtained design compensation network.
The k factors indicate the distance for needing to separate between zero frequency and pole frequency as caused by compensation network, then
By the phase margin for selecting to be needed at desired cut-off frequency fc and fc, the k factors place zero point and limit, are equal to fc automatically
The geometrical mean of zero frequency and pole frequency, and have the lifting of highest phase at fc.In k factorization methods, at crossover frequency
Caused phase lifting can be with the different and different of k values.During k=1, pole and zero occupies same position, and phase is promoted to 0.k
Increase, the distance increase of pole and zero, the phase lifting provided at fc are consequently increased.Increase phase lifting values are to drop
Low DC current gain is cost.
Assuming that zero frequency is fc/k, pole frequency kfc, then at fc phase lifting Boost is：
Wherein fz0For zero frequency, fp0For pole frequency；
From trigonometric function relation：
Obtained by above formula：
- 90 ° of+arctan (k) of Boost=arctan (k)=- 90 ° of 2*arctan (k) (3)
Thus obtain：
The relative stability of system is generally weighed by Phase margin r and gain margin Kg.General Phase margin exists
Between 30 degree to 60 degree, gain margin should be greater than 6dB.Middle frequency range is relevant with overshoot, and middle frequency range h is bigger, and overshoot is smaller.It is low
Frequency gain K determines steady-state error, and low-frequency gain is bigger, and steady-state error is smaller.Cut-off frequency fc determines the response speed of system
Degree, fc is bigger, and system response is faster.
Switching frequency fs is 80kHz in present embodiment, and for the high-frequency noise for avoiding switching device from bringing, system bandwidth should
Less than fs/10, i.e. 8kHz.Usually require that cut-off frequency is greater than 5~10 times of system useful signal.In addition, Buck circuits are defeated
Go out the resonance that filter capacitor forms wave filter with inductance
It is commonly designed cut-off frequency and is greater than 10f0, f0 is
Resonant frequency, so the rational span of system bandwidth is 1.6kHz<fc<8kHz, elect 4kHz as.
After adding zero point and limit in Bode diagram, obtain compensating the transmission function of network under corresponding state.
As shown in Figure 2, when not being corrected, system bandwidth is only 20Hz.At frequency 4kHz, system gain is -32dB, phase
Position nargin is -18.7 °.From the figure 3, it may be seen that after correction, system bandwidth 3.93kHz, system cut-off frequency 4kHz, phase margin
For 80 °, middle frequency range h is 11.6, and system gain is greatly improved, and design requirement is met after correction.Fig. 2 and Fig. 3 coordinate is identical,
Abscissa is frequency (Hz), and ordinate is respectively amplitude (dB) and phase angle (°).
Embodiment two：Present embodiment is illustrated with reference to Fig. 4, present embodiment is to embodiment one
The method of the described Buck circuit stabilities for improving peak-current mode based on the k factors is described further, present embodiment
In, compensation network includes resistance R1, resistance R2, electric capacity C1, electric capacity C2 and error amplifier；
Resistance R1 one end is as voltage feedback signal input, the resistance R1 other end and resistance R2 one end and electric capacity
C2 one end is connected, and resistance R1, resistance R2, electric capacity C2 common port are connected with the inverting input of error amplifier, resistance R2
The other end be connected with electric capacity C1 one end, electric capacity the C1 other end, the electric capacity C2 other end and the output end of error amplifier
It is connected, and as the output end of error signal, the input termination+2.5V voltages in the same direction of error amplifier.
Compensation network transmission function be
Wherein, R1For resistance R1 resistance, R2For resistance R2 resistance, C1For electric capacity C1 capacitance, C2Electric capacity C2 electricity
Capacitance, the resonant earthed system addition of a zero point and a limit in system, and steady-state gain is improved by the effect of integration.
It is obvious to a person skilled in the art that the invention is not restricted to the details of above-mentioned one exemplary embodiment, Er Qie
In the case of without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, embodiment all should be regarded as exemplary, and be nonrestrictive, the scope of the present invention is by appended power
Profit requires rather than described above limits, it is intended that all in the implication and scope of the equivalency of claim by falling
Change is included in the present invention.
Although the present invention is described herein with reference to specific embodiment, it should be understood that, these realities
Apply the example that example is only principles and applications.It should therefore be understood that exemplary embodiment can be carried out
Many modifications, and other arrangements are can be designed that, the spirit of the invention limited without departing from appended claims
And scope.It should be understood that different appurtenances can be combined by way of different from described by original claim
Profit requires and feature specifically described herein.It will also be appreciated that the feature with reference to described by separate embodiments can use
In other described embodiments.
Claims (2)
1. based on the k factors improve peak-current mode Buck circuit stabilities method, it is characterised in that this method include with
Lower step：
Based on the compensation network of MATLAB emulation Buck circuits, Bode diagram is obtained；
According to the actual requirements, zero point and limit are added in Bode diagram based on the k factors；
The transmission function of network is compensated based on MATLAB；
The parameter of each element in compensation network is calculated according to transmission function；
According to parameters obtained design compensation network.
2. the method for the Buck circuit stabilities according to claim 1 that peak-current mode is improved based on the k factors, it is special
Sign is that compensation network includes resistance R1, resistance R2, electric capacity C1, electric capacity C2 and error amplifier；
Resistance R1 one end as voltage feedback signal input, the resistance R1 other end and resistance R2 one end and electric capacity C2's
One end is connected, and resistance R1, resistance R2, electric capacity C2 common port are connected with the inverting input of error amplifier, and resistance R2's is another
One end is connected with electric capacity C1 one end, and electric capacity the C1 other end, the electric capacity C2 other end are connected with the output end of error amplifier,
And as the output end of error signal, the input termination+2.5V voltages in the same direction of error amplifier.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111669050A (en) * | 2019-03-05 | 2020-09-15 | 东南大学 | Buck circuit and compensation method and device for same |
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| CN105099171A (en) * | 2014-05-16 | 2015-11-25 | 深圳市中兴微电子技术有限公司 | Compensation network, switching power supply circuit and circuit compensation method |
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| CN105024545A (en) * | 2014-04-25 | 2015-11-04 | 深圳市中兴微电子技术有限公司 | Switch control method, ON-OFF control circuit and modulator |
| CN105099171A (en) * | 2014-05-16 | 2015-11-25 | 深圳市中兴微电子技术有限公司 | Compensation network, switching power supply circuit and circuit compensation method |
| CN104102268A (en) * | 2014-07-16 | 2014-10-15 | 哈尔滨工业大学深圳研究生院 | Constant-current high-power electronic load control circuit |
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| 姜述国: "一种用于短距离无线接收系统的多模式降压PWM调整直流变换器的设计", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
| 张实: "一种高效率的电流型Buck DC-DC变换器的分析与设计", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111669050A (en) * | 2019-03-05 | 2020-09-15 | 东南大学 | Buck circuit and compensation method and device for same |
| CN111669050B (en) * | 2019-03-05 | 2023-05-23 | 东南大学 | Compensation method and device for Buck circuit and Buck circuit |
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