CN107171559A - A kind of phase compensating method of Width funtion power supply - Google Patents
A kind of phase compensating method of Width funtion power supply Download PDFInfo
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- CN107171559A CN107171559A CN201710440719.0A CN201710440719A CN107171559A CN 107171559 A CN107171559 A CN 107171559A CN 201710440719 A CN201710440719 A CN 201710440719A CN 107171559 A CN107171559 A CN 107171559A
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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
- H02M3/1584—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 with a plurality of power processing stages connected in parallel
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- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Dc-Dc Converters (AREA)
Abstract
The present invention provides a kind of phase compensating method of Width funtion power supply, including：Dutycycle D of the Boost circuit under low pressure underloading, low pressure heavy duty, four kinds of patterns of high pressure underloading and high-pressure heavy-load is calculated using simulation software, and comparison voltage is set, corresponding PWM is produced and carrys out controlling switch；The Bode diagram for opening loop boost is drawn, and determines to open the compensator type in the boost of loop according to the Bode diagram for opening loop boost；The capacitance C and resistance value R of compensator are calculated, and draws out the Bode diagram of compensator, judges whether to reach phase compensation requirement, loop boost is opened according to obtained capacitance C and resistance value R adjustment, to obtain loop circuit boost.
Description
Technical field
The present invention relates to a kind of phase compensating method, more particularly to a kind of phase compensating method of Width funtion power supply.
Background technology
Present circuit design, is largely the emulation and debugging that circuit is carried out by a series of emulation Chinese idiom,
Generally the experiment that specific entity circuit could be completed is built in corresponding hardware experiments room, thus save reality before instead of
The difficulty of hardware development time.
But, the phase compensation of wide power in the prior art not yet has a kind of good design method, the invention provides
A kind of phase compensating method of Width funtion power supply, can be very good to design satisfactory compensation circuit.
The content of the invention
It is an object of the invention to the shortcoming for overcoming prior art, there is provided a kind of phase compensating method of Width funtion power supply.
In order to solve the above technical problems, present invention employs following technical measures：
A kind of phase compensating method of Width funtion power supply, including：
S1, using simulation software according to following formula calculate Boost circuit low pressure underloading, low pressure heavy duty, high pressure it is light
Dutycycle D under load and four kinds of patterns of high-pressure heavy-load, and comparison voltage is set, produce corresponding PWM and carry out controlling switch：
Wherein, V0For output voltage, ViFor input voltage, I0Output current, ResrFor MOSFET pipes conducting resistance, RDS(ON)
For diode current flow resistance, VdFor output average voltage.
S2, the Bode diagram for opening loop boost is drawn using simulation software, and according to the Bode diagram for opening loop boost
It is determined that opening the compensator type in the boost of loop；
S3, the capacitance C and resistance value R of compensator are calculated using simulation software according to following formula, and draw out benefit
The Bode diagram of device is repaid, judges whether to reach phase compensation requirement, is, then performs step S4：
Wherein, fCFor the corner frequency of compensation.
S4, opens loop boost, to obtain loop circuit according to capacitance C and resistance value the R adjustment obtained in step S3
boost。
Further, step S1 also includes：
S11, determines to open the inductance value L in the boost of loop according to following formula：
Wherein, f is MOSFET plumber's working frequencies, ILFor load current.
Further, step S1 also includes：
S12, determines to open the capacitance C in the boost of loop according to following formula0：
Wherein, L is inductance, Δ V0For the ripple voltage of output.
Further, step S2 also includes：
S21, low pressure underloading, low pressure heavy duty, high pressure underloading and high ballast are drawn out using simulation software according to following formula
Carry the Bode diagram that loop boost is opened under four kinds of patterns：
Wherein, Q is the quality factor of system, is made up of L and C, CesrFor electric capacity energy consumption equivalent resistance, R0For output electricity
Resistance, s is Laplace operator.
Compared with prior art, the present invention has advantages below：
, can be by simply modeling come needed for rapid design there is provided a kind of phase compensating method of Width funtion power supply
The compensation circuit wanted, and the circuit designed is good to the compensation effect of power supply.Designed power work bandwidth, output voltage
Stably, the advantages of ripple is small, carrying load ability is strong, output filter capacitor is small.
Brief description of the drawings
Accompanying drawing 1 is the schematic flow sheet of the present invention-embodiment；
Accompanying drawing 2 is the structural representation for opening loop boost of the present invention-embodiment；
Accompanying drawing 3 is the Bode diagram for opening loop boost of the present invention-embodiment；
Accompanying drawing 4 is that the present invention-embodiment opens loop boost in low pressure underloading, low pressure heavy duty, high pressure underloading and high ballast
Carry the Bode diagram under four kinds of patterns；
Accompanying drawing 5 is the structural representation of the compensator of the present invention-embodiment；
Accompanying drawing 6 is the Bode diagram of the compensator of the present invention-embodiment；
Accompanying drawing 7 is the Bode diagram for opening loop boost plus compensator of the present invention-embodiment；
Accompanying drawing 8 is the loop circuit boost of the present invention-embodiment structural representation；
Embodiment
The present invention is described in further detail with embodiment below in conjunction with the accompanying drawings.
The flow chart of the phase compensating method embodiment for the Width funtion power supply that Fig. 1 provides for the present invention.This method is applied to
Boost circuits.As shown in figure 1, this method includes：
S1, (is Mathcad softwares in this specific embodiment, certainly, in other embodiments, also may be used using simulation software
To use other simulation softwares, this is that those skilled in the art can realize easily, is no longer described in detail) calculated according to following formula
Go out dutycycle D of the Boost circuit under low pressure underloading, low pressure heavy duty, four kinds of patterns of high pressure underloading and high-pressure heavy-load, and ratio is set
Compared with voltage, produce corresponding PWM and carry out controlling switch：
Wherein, V0For output voltage, ViFor input voltage, I0Output current, ResrFor MOSFET pipes S2's (referring to Fig. 2)
Conducting resistance, RDS(ON)For diode D2 (referring to Fig. 2) conducting resistance, VdExport average voltage.
Specifically, using voltage-second balance, formula (1) can be found out, via Mathcad can in the hope of D (formula (2)), it is different
Input and output, can calculate different dutycycles, and a point Do is low pressure underloading, low pressure heavy duty, high pressure underloading and high-pressure heavy-load.
(Vi-Io(RDS(on)+Resr)) D=(- Vi+Vo+Vd+IoResr)(1-D) (1)
In order to ensure the electric current on inductance can be on CCM, so for designing inductance value under the pattern of high pressure underloading, if high
Press the inductive current of underloading on CCM, inductive current is bound on CCM under other patterns.
Inductive current is linear change, then coordinates electric crystal opening/closing time, can find the inductance value equation (formula of inductance
(3))
Wherein, f is MOSFET pipes S2 (referring to Fig. 2) working frequency, ILFor load current.
According to specification set above, output voltage ripple will be in 3% Inner.
It is known that the relation of electric capacity and voltage is Δ V=Q/C, then Q=Δ I*T*0.5, I here refer to inductance
On electric current, T be the cycle, therefore IL generations calculated above entered in Q that then generation is enter in Δ V=Q/C, can be with table via simplification
It is shown as formula (4)
Wherein, Δ V0For the ripple voltage of output.Again C can be found out via Mathcad.
Circuit parameter design result is as shown in the table, designed electric capacity and inductance, be respectively in high pressure underloading and
Designed under high-pressure heavy-load, identical inductance value and capacitance are all used under four kinds of patterns, without redesigning again.
S2, the Bode diagram for opening loop boost is drawn using Mathcad, and according to the Bode diagram for opening loop boost
It is determined that opening the compensator type in the boost of loop；
Specifically, open loop boost circuits as shown in Fig. 2 open loop boost Bode diagram as shown in figure 3, it can be found that
Wave mode substantially has a noise when more than 100KHz, reason be SIMPLIS when analysis circuit, if the position just analyzed
It is that on operating frequency, the result analyzed can be problematic.And the application of BOOST circuits in itself is all in low-frequency range, so high frequency
The gain and phase of section can be ignored.
The Bode diagram that Fig. 3 opens loop is reviewed, gain diagram part is flown up in the position close to 1kHz, gain, mainly
It is, because the resonance that L and C in circuit occur, to make inductance of the circuit in the frequency anti-and Xc is cancelled out each other, institute
It can be lifted with gain, then resonant frequency is also to calculate, shown in calculation formula such as formula (5).
It is about to fall in 500Hz via SIMPLIS result frequencies, via calculating is fallen in 507Hz.
For the BOOST circuits for opening loop, phase margin are -16.5 degree (- 196.5- (- 180)), gain
Margin is 23.69db.
In addition to it is to be understood that drawing out the Bode diagram of circuit, the Bode diagram curve under four kinds of states is also learnt,
A worst case is found in Mathcad, this worst case is being done the design of compensator.
According to computing it is known that the transfer function for opening loop is
Wherein, Q is made up of for the quality factor of system L and C, CesrFor electric capacity energy consumption equivalent resistance, R0For output electricity
Resistance, s is Laplace operator.Formula is as follows：
Different D values are found out according to four kinds of different shapes, L, C set in the condition of epimere and completed, so according to
Above-mentioned condition can draw the Bode diagram of four kinds of different shapes by Mathcad, and four kinds of different Bode diagram are as shown in Figure 4.
Through Bode diagram it can be found that the identical frequency plot under low pressure heavy duty drop it is most, therefore will be to this
Form is compensated.
S3, the capacitance C and resistance value R of compensator are calculated using Mathcad according to following formula, and draw out compensation
The Bode diagram of device, judges whether to reach phase compensation requirement, is, then performs step S4：
Wherein, fCFor the corner frequency of compensation.
Specifically, compensator circuit is as shown in figure 5, design method is exactly by compensation point design on 100Hz, by formula
(formula 6) can be designed that R and C.
Assuming that R1For 100k Ω, fcIt is that 100Hz jacket types (6) can obtain C for compensation point1Electric capacity, confirmed capacitance and
After resistance, the Bode diagram of compensator is drawn out using MATHCAD, to confirm whether design of Compensator is correct.
The Bode diagram of compensator is as shown in fig. 6, can clearly see that gain is 0db in 100Hz, PM also exists really
90., can Enough confirm compensator design be to.Therefore compensator is combined with opening loop circuit again, then observes a Byrd
Figure, such as Fig. 7.
From Fig. 6 it can be found that the compensator after redesigning has met the requirements 100Hz in 0db, Fig. 7 phase diagram really
Phase angle surplus is obtained for 90 °, design requirement is reached.
S4, opens loop boost, to obtain loop circuit according to capacitance C and resistance value the R adjustment obtained in step S3
Boost, such as Fig. 8.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention
God is with principle, and any modification, equivalent substitution and improvements done etc. should be included within the scope of protection of the invention.
Claims (4)
1. a kind of phase compensating method of Width funtion power supply, it is characterised in that including：
S1, using simulation software according to following formula calculate Boost circuit low pressure underloading, low pressure heavy duty, high pressure underloading and
Dutycycle D under four kinds of patterns of high-pressure heavy-load, and comparison voltage is set, produce corresponding PWM and carry out controlling switch：
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Wherein, V0For output voltage, ViFor input voltage, I0Output current, ResrFor MOSFET pipes conducting resistance, RDS(ON)For two
Pole pipe conducting resistance, VdFor output average voltage；
S2, the Bode diagram for opening loop boost is drawn using simulation software, and determine according to the Bode diagram for opening loop boost
Open the compensator type in the boost of loop；
S3, the capacitance C and resistance value R of compensator are calculated using simulation software according to following formula, and draw out compensator
Bode diagram, judge whether to reach phase compensation requirement, be, then perform step S4：
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Wherein, fCFor the corner frequency of compensation；
S4, opens loop boost, to obtain loop circuit boost according to capacitance C and resistance value the R adjustment obtained in step S3.
2. the phase compensating method of Width funtion power supply according to claim 1, it is characterised in that step S1 is further wrapped
Include：
S11, determines to open the inductance value L in the boost of loop according to following formula：
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Wherein, f is MOSFET plumber's working frequencies, ILFor load current.
3. the phase compensating method of Width funtion power supply according to claim 2, it is characterised in that step S1 is further wrapped
Include：
S12, determines to open the capacitance C in the boost of loop according to following formula0：
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Wherein, L is inductance, Δ V0For the ripple voltage of output.
4. the phase compensating method of Width funtion power supply according to claim 3, it is characterised in that step S2 is further wrapped
Include：
S21, low pressure underloading, low pressure heavy duty, high pressure underloading and high-pressure heavy-load four are drawn out using simulation software according to following formula
Loop boost Bode diagram is opened under the pattern of kind：
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111324160A (en) * | 2018-12-14 | 2020-06-23 | 致茂电子(苏州)有限公司 | Power supply and compensation method thereof |
| CN111682766A (en) * | 2020-06-30 | 2020-09-18 | 厦门理工学院 | Modeling and simulation method of compensator of improved interleaved buck DC-DC converter |
| CN111786556A (en) * | 2020-08-05 | 2020-10-16 | 合肥工业大学 | Dual-mode compensation system for peak current control mode boost converter |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111324160A (en) * | 2018-12-14 | 2020-06-23 | 致茂电子(苏州)有限公司 | Power supply and compensation method thereof |
| CN111324160B (en) * | 2018-12-14 | 2021-07-09 | 致茂电子(苏州)有限公司 | Power supply and compensation method thereof |
| CN111682766A (en) * | 2020-06-30 | 2020-09-18 | 厦门理工学院 | Modeling and simulation method of compensator of improved interleaved buck DC-DC converter |
| CN111682766B (en) * | 2020-06-30 | 2022-03-29 | 厦门理工学院 | Modeling and simulation method of compensator of improved interleaved buck DC-DC converter |
| CN111786556A (en) * | 2020-08-05 | 2020-10-16 | 合肥工业大学 | Dual-mode compensation system for peak current control mode boost converter |
| CN111786556B (en) * | 2020-08-05 | 2021-05-25 | 合肥工业大学 | Dual-mode compensation system for peak current control mode boost converter |
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| CN107171559B (en) | 2019-04-02 |
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