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 PDF

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Publication number
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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CN
China
Prior art keywords
resistance
electric capacity
peak
factors
current mode
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201610929357.7A
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Chinese (zh)
Inventor
于海洋
祖光鑫
徐冰亮
董尔佳
郭袅
徐明宇
张明江
武国良
郝文波
陈晓光
刘进
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Heilongjiang Electric Power Co Ltd
Original Assignee
State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Heilongjiang Electric Power Co Ltd
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Filing date
Publication date
Application filed by State Grid Corp of China SGCC, Electric Power Research Institute of State Grid Heilongjiang Electric Power Co Ltd filed Critical State Grid Corp of China SGCC
Priority to CN201610929357.7A priority Critical patent/CN107482912A/en
Publication of CN107482912A publication Critical patent/CN107482912A/en
Pending legal-status Critical Current

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Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS 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
    • H02M3/00Conversion of dc power input into dc power output
    • H02M3/02Conversion of dc power input into dc power output without intermediate conversion into ac
    • H02M3/04Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
    • H02M3/10Conversion 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
    • H02M3/145Conversion 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
    • H02M3/155Conversion 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
    • H02M3/156Conversion 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
    • H02M3/158Conversion 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

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

The method that the Buck circuit stabilities of peak-current mode are improved based on the k factors
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.
CN201610929357.7A 2016-10-31 2016-10-31 The method that the Buck circuit stabilities of peak-current mode are improved based on the k factors Pending CN107482912A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
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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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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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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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