CN107171559B - 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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- CN107171559B CN107171559B CN201710440719.0A CN201710440719A CN107171559B CN 107171559 B CN107171559 B CN 107171559B CN 201710440719 A CN201710440719 A CN 201710440719A CN 107171559 B CN107171559 B CN 107171559B
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- Prior art keywords
- boost
- circuit
- compensator
- bode diagram
- power supply
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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, it include: to calculate duty ratio D of the Boost circuit under low pressure underloading, low pressure heavy duty, high pressure underloading and four kinds of modes of high-pressure heavy-load using simulation software, and comparison voltage is set, it generates corresponding PWM and carrys out control switch；The Bode diagram for opening circuit boost is drawn, and the compensator type opened in the boost of circuit is determined according to the Bode diagram for opening circuit 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, circuit 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 methods of Width funtion power supply.
Background technique
Present circuit design is largely the emulation and debugging that circuit is carried out by a series of emulation Chinese idiom,
Instead of usually building the experiment that specific entity circuit could be completed in corresponding hardware experiments room before, thus save reality
The difficulty of hardware development time.
But the phase compensation of wide power is there has been no a kind of good design method in the prior art, the present invention provides
A kind of phase compensating method of Width funtion power supply, can be very good to design satisfactory compensation circuit.
Summary of the invention
The purpose of the present invention is to overcome the shortcomings of the existing technology, provides 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, comprising:
S1, using simulation software according to following formula calculate Boost circuit low pressure underloading, low pressure heavy duty, high pressure it is light
Duty ratio D under load and four kinds of modes of high-pressure heavy-load, and comparison voltage is set, it generates corresponding PWM and carrys out control switch:
Wherein, V0For output voltage, ViFor input voltage, I0Export electric current, ResrFor MOSFET pipe conducting resistance, RDS(ON)
For diode current flow resistance, VdTo export average voltage.
S2 draws the Bode diagram for opening circuit boost using simulation software, and according to the Bode diagram for opening circuit boost
Determine the compensator type opened in the boost of circuit；
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 for repaying device judges whether to reach phase compensation requirement, is to then follow the steps S4:
Wherein, fCFor the corner frequency of compensation.
S4 opens circuit boost according to capacitance C obtained in step S3 and resistance value R adjustment, to obtain loop circuit
boost。
Further, step S1 further include:
S11 determines the inductance value L opened in the boost of circuit according to following formula:
Wherein, f is MOSFET plumber working frequency, ILFor load current.
Further, step S1 further include:
S12 determines the capacitance C opened in the boost of circuit according to following formula0:
Wherein, L is inductance, Δ V0For the ripple voltage of output.
Further, step S2 further include:
S21 draws out low pressure underloading, low pressure heavy duty, high pressure underloading and high ballast according to following formula using simulation software
Carry the Bode diagram that circuit boost is opened under four kinds of modes:
Wherein, Q is the quality factor of system, is made of L and C, CesrFor capacitor energy consumption equivalent resistance, R0For output electricity
Resistance, s is Laplace operator.
Compared with prior art, the invention has the following advantages that
A kind of phase compensating method of Width funtion power supply is provided, needed for can designing rapidly by simply modeling
The compensation circuit wanted, and the circuit designed is good to the compensation effect of power supply.Designed power work bandwidth, output voltage
Stablize, the advantages that ripple is small, carrying load ability is strong, output filter capacitor is small.
Detailed description of the invention
Attached drawing 1 is the present invention-embodiment flow diagram；
Attached drawing 2 is the structural schematic diagram that the present invention-embodiment opens circuit boost；
Attached drawing 3 is the Bode diagram that the present invention-embodiment opens circuit boost；
Attached drawing 4 is that the present invention-embodiment opens circuit boost in low pressure underloading, low pressure heavy duty, high pressure underloading and high ballast
Carry the Bode diagram under four kinds of modes；
Attached drawing 5 is the structural schematic diagram of the present invention-embodiment compensator；
Attached drawing 6 is the Bode diagram of the present invention-embodiment compensator；
Attached drawing 7 is the Bode diagram for opening circuit boost that the present invention-embodiment adds compensator；
Attached drawing 8 is the structural schematic diagram of the present invention-embodiment loop circuit boost；
Specific embodiment
Present invention is further described in detail with specific embodiment with reference to the accompanying drawing.
Fig. 1 is the flow chart of the phase compensating method embodiment of Width funtion power supply provided by the invention.This method is suitable for
Boost circuit.As shown in Figure 1, this method comprises:
S1 (is that Mathcad software certainly in other embodiments, can also in this specific embodiment 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) it is calculated according to following formula
Duty ratio D of the Boost circuit under low pressure underloading, low pressure heavy duty, high pressure underloading and four kinds of modes of high-pressure heavy-load out, and ratio is set
Compared with voltage, generates corresponding PWM and carrys out control switch:
Wherein, V0For output voltage, ViFor input voltage, I0Export electric current, ResrFor MOSFET pipe S2's (referring to fig. 2)
Conducting resistance, RDS(ON)For the conducting resistance of diode D2 (referring to fig. 2), VdExport average voltage.
Specifically, formula (1) can be found out using voltage-second balance, via Mathcad can in the hope of D (formula (2)), it is different
Input and output, can calculate different duty ratios, be low pressure underloading, low pressure heavy duty, high pressure underloading and high-pressure heavy-load respectively.
(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 inductance value is designed under the mode of high pressure underloading, if high
Press the inductive current of underloading on CCM, inductive current is bound on CCM under other modes.
Inductive current is linear change, then cooperates transistor opening/closing time, can find the inductance value equation (formula of inductance
(3))
Wherein, f is MOSFET pipe S2 (referring to fig. 2) working frequency, ILFor load current.
According to specification set above, output voltage ripple will be in 3%.
It is known that the relationship of capacitor 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 period, therefore into Q in IL generation calculated above, then generation into Δ V=Q/C, can be with table via simplification
It is shown as formula (4)
Wherein, Δ V0For the ripple voltage of output.C can be found out via Mathcad again.
Circuit parameter design result is as shown in the table, designed capacitor and inductance, be respectively high pressure underloading and
It is designed under high-pressure heavy-load, identical inductance value and capacitance is all used under four kinds of modes, without redesigning again.
S2 draws the Bode diagram for opening circuit boost using Mathcad, and according to the Bode diagram for opening circuit boost
Determine the compensator type opened in the boost of circuit；
Specifically, open circuit boost circuit as shown in Fig. 2, open the Bode diagram of circuit boost as shown in figure 3, it can be found that
When being greater than 100KHz, wave mode obviously has noise, the reason is that SIMPLIS is when analyzing circuit, if the position just analyzed
It is on operating frequency, the result analyzed can be problematic.And BOOST circuit itself application all in low-frequency range, so high frequency
The gain and phase of section can be ignored.
The Bode diagram that Fig. 3 opens circuit is reviewed, gain diagram part is flown up in the position close to 1kHz, gain, mainly
It is to make inductance of the circuit in the frequency anti-because of the resonance that L and C in circuit occur and capacitance resistance is cancelled out each other, institute
It can be promoted with gain, then resonance frequency is also that can calculate, shown in calculation formula such as formula (5).
It is about to fall in 500Hz via SIMPLIS result frequency, is then to fall in 507Hz via calculating.
For the BOOST circuit for opening circuit, phase margin is -16.5 degree (- 196.5- (- 180)), gain
Margin is 23.69db.
Other than 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, in the design for this worst case being made compensator.
According to operation it is known that the transfer function for opening circuit is
Wherein, Q is that the quality factor of system are made of L and C, CesrFor capacitor energy consumption equivalent resistance, R0For output electricity
Resistance, s is Laplace operator.Formula is as follows:
Different D values is found out according to four kinds of different shapes, L, C set in the condition of upper section and complete, 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 phase under low pressure heavy duty fall it is most, therefore will be to this
Form compensates.
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 to then follow the steps S4:
Wherein, fCFor the corner frequency of compensation.
Specifically, compensator circuit is as shown in figure 5, design method is exactly that will compensate 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 type (6) can find out C for compensation point1Capacitor, confirmed capacitance and
After resistance value, Yao Liyong MATHCAD draws out the Bode diagram of compensator, 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., it is able to confirm that the design of compensator is pair.Therefore again compensator with open in conjunction with loop circuit, then observe 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, the phase diagram of Fig. 7 really
Obtaining phase angle surplus is 90 °, reaches design requirement.
S4 opens circuit boost according to capacitance C obtained in step S3 and resistance value R adjustment, to obtain loop circuit
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 in essence of the invention
Within mind and principle, any modification, equivalent substitution, improvement and etc. done be should be included within the scope of the present invention.
Claims (3)
1. a kind of phase compensating method of Width funtion power supply characterized by comprising
S1, using simulation software according to following formula calculate Boost circuit low pressure underloading, low pressure heavy duty, high pressure underloading and
Duty ratio D under four kinds of modes of high-pressure heavy-load, and comparison voltage is set, it generates corresponding PWM and carrys out control switch:
Wherein, V0For output voltage, ViFor input voltage, I0Export electric current, ResrFor MOSFET pipe conducting resistance, RDS(ON)It is two
Pole pipe conducting resistance, VdExport average voltage；
S2 is drawn the Bode diagram for opening circuit boost using simulation software, and is determined according to the Bode diagram for opening circuit boost
Open the compensator type in the boost of circuit；
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 to then follow the steps S4:
Wherein, fCFor the corner frequency of compensation；
S4 opens circuit boost according to capacitance C obtained in step S3 and resistance value R adjustment, to obtain loop circuit boost.
2. the phase compensating method of Width funtion power supply according to claim 1, which is characterized in that step S1 is further wrapped
It includes:
S11 determines the inductance value L opened in the boost of circuit according to following formula:
Wherein, f is MOSFET plumber working frequency, ILFor load current.
3. the phase compensating method of Width funtion power supply according to claim 2, which is characterized in that step S1 is further wrapped
It includes:
S12 determines the capacitance C opened in the boost of circuit according to following formula0:
Wherein, L is inductance, Δ V0For the ripple voltage of output.
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| CN201710440719.0A CN107171559B (en) | 2017-06-13 | 2017-06-13 | A kind of phase compensating method of Width funtion power supply |
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| CN201710440719.0A CN107171559B (en) | 2017-06-13 | 2017-06-13 | A kind of phase compensating method of Width funtion power supply |
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| CN111324160B (en) * | 2018-12-14 | 2021-07-09 | 致茂电子(苏州)有限公司 | Power supply and compensation method thereof |
| 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 |
| 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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| CN101232237B (en) * | 2007-01-26 | 2011-05-25 | 艾默生网络能源系统北美公司 | Multiple output power supply |
| CN101615045B (en) * | 2009-07-29 | 2011-08-31 | 广西诺斯贝电气有限公司 | Stepless phase control compensating-type AC voltage stabilization and regulation device and voltage compensation method thereof |
| JP2013147226A (en) * | 2012-01-23 | 2013-08-01 | Jtekt Corp | Electric power steering device |
| CN103346677B (en) * | 2013-06-05 | 2016-05-25 | 江苏高博智融科技有限公司 | A kind of Dynamic Duty Cycle compensation arrangement |
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