CN104181820A - Power supply design method based on frequency domain analysis - Google Patents

Power supply design method based on frequency domain analysis Download PDF

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Publication number
CN104181820A
CN104181820A CN201410386810.5A CN201410386810A CN104181820A CN 104181820 A CN104181820 A CN 104181820A CN 201410386810 A CN201410386810 A CN 201410386810A CN 104181820 A CN104181820 A CN 104181820A
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bode diagram
method based
frequency
design method
domain analysis
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CN104181820B (en
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林坤杰
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SHENZHEN YUESON TECHNOLOGY DEVELOPMENT Co Ltd
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SHENZHEN YUESON TECHNOLOGY DEVELOPMENT Co Ltd
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Abstract

The invention discloses a power supply design method based on frequency domain analysis. The method comprises the following steps: step one, assessing a test platform, measuring an open-loop transfer function of the test platform, and determining a design object; step two, loading a test object, according to a test parameter, obtaining a compensation parameter, and drawing a Bode diagram of the compensation parameter, and then superposing the Bode diagram of the compensation parameter and the Bode diagram of the open-loop transfer function to obtain a closed-loop curve; step three, adjusting the parameter of an error amplifier, selecting a parameter value, and debugging the selected parameter value in a specifically applied circuit board to obtain a Bode diagram response curve of a whole loop; and step four, confirming a test result, obtaining the Bode diagram of a closed loop on the test platform, and comparing the Bode diagram of the closed loop on the test platform with a computer simulation graph so as to confirm whether the two match each other. According to the invention, the design period is greatly reduced, the product quality is enhanced, and the research and development efficiency is improved.

Description

A kind of Power Management Design method based on frequency-domain analysis
Technical field
The present invention relates to Power Management Design field, relate in particular to a kind of Power Management Design method based on frequency-domain analysis.
Background technology
Increasingly mature along with Theory of Automatic Control application, Automatic Control Theory is also more and more applied in the middle of the integrated circuit such as power supply control IC, and this makes Switching Power Supply obtain guarantee aspect stability.Although, on market, occur the power supply IC product of internal compensation also do not reach universal degree, and price being more expensive, what therefore on market, a lot of power supply IC also adopted is the mode of external compensation circuit.The existence of power supply IC that external compensation circuit regulates, has illustrated in the situation that considering cost performance, still has a lot of advantages, so the power source design of main flow still adopts the mode of external compensation now.Alarming, by many power supply products on market are carried out, after network analysis, finding that there is a lot of existence and stabilities bad, poor performance, the problem such as efficiency is low.So, find one can improve power supply development efficiency, strengthen the control of power supply stability, reduce the visual Power Management Design method of power supply power consumption, just become vast Power Engineer problem demanding prompt solution.In the past, slip-stick artist regulated power supply compensating parameter by the many years of experience of oneself, and often adjusted length consuming time, efficiency is low, the result finally obtaining also not necessarily just can reach the requirement that meets volume production, once arrive the volume production stage, some hiding problems will display after amplifying.For example, the too low too high system instability problem causing of cross-over frequency point, the problem that thermal losses is serious, efficiency is low, low-response, phase waveform overshoot, ripple is large.
Traditional Power Management Design method is conventionally according to following analytic process:
The first step, regulator open loop passes letter module:
Consult accompanying drawing 1, it is circuit theory diagrams, in accompanying drawing 1, is divided into two modules: regulator and compensator.Adjustor module belongs to topworks, and its principle of work is: the output of the error amplifier of compensation comes as the input signal of the in-phase input end of PWM comparer and OSC compares the PWM waveform of exporting certain frequency.In the bode of regulator figure, there are a very crucial parameter point, duopole.Duopole is according to output filter circuit: the size of Lout and Cout decides.According to formula:
f LC = 1 2 π L OUT × C OUT
From formula, can find out that increase sensibility reciprocal and output capacitance all can increase our f lC.Because we are in choosing first zero position, probably can allow Z1=0.25*f lC; We have improved f lCfrequency just indirectly improved the frequency of Z1.We also have another one formula to be: fc*fc=Z1*P1; From formula, can find out that in the situation that P1 is definite, improving Z1 can improve fc, namely improve our cross-over frequency point, Here it is, and why we will choose the large f that tries one's best lCthe reason of Frequency point.P1 is not definite point, and P1 compensates relevant parameter with error amplifier, and P1 has chosen the upper limit, and excessive P1 can make to compensate unstable.F lChave the standard of a recommendation according to the design guide of load.
In regulator, second crucial point is exactly ESR point, and this point is the separation of a slope variation.From f lCthe rate of decay according to-40db/ ten octaves to this section of ESR.Become-20db/ ten octaves after ESR therefore, will be greater than ESR point when we select cross-over frequency point as far as possible, if be less than ESR point, compensation is to be difficult to regulate so.
According to formula:
F ESR = 1 2 π × ESR × C OUT
Wherein ESR is the equivalent resistance of bulk Capacitance parallel connection, 5m Ω; ESR has determined the stable case of system; The smaller the better in principle; FESR is corresponding on bode figure is the null position of regulator, and ESR is less, f eSRlarger, be conducive to like this improve cross-over frequency.
Second step, error amplifier compensation loop regulates:
We know that compensating for path is the feedback path of system.The key link of compensation is exactly error amplifier, and error amplifier is divided into two classes: error amplifier and trsanscondutance amplifier.Also there are two kinds of conventional compensation ways: two class compensation and the compensation of three classes simultaneously.
Some key parameters and the concept of two class compensation: Mid_band_gain; GM; Z1; P1;
According to formula:
Mid _ Band _ Gain = R 2 R 2 × R 3 × R 1 × GM
We can find out that Mid_band_gain and R1 have direct relation.GM represents mutual conductance; This can look for from datasheet to.Mid_band_gain is the difference of regulator at the magnitude margin of the cross-over frequency point of our expectation.By this formula, we will calculate R1.The resistance of R2 and R3 just determined substantially, the resistance span of giving according to IC manufacturer substantially: 1K is between 10K.Turn one's head the formula of Mid_band_gain, the value that R1 chooses more greatly, so in the gain of cross-over frequency point just more greatly, that is to say we improve R1 just representative selected larger cross-over frequency point.
According to formula:
F P 1 = 1 2 π × R 1 × ( C 1 × C 2 C 1 + C 2 ) ; F Z 1 = 1 2 π × R 1 × C 1
Illustrate, the parameter of the first limit and the first zero is How to choose.According to the situation of said mistake above, the first limit is 1/4th f lC, and R1 we just calculate, so, C1 can be by calculating.It is to be noted that FP1 generally can be chosen in the position of 0.5 times of switching frequency.After C1 calculates, bring this formula of FP1 into, C2 has also just calculated so.
Some key parameters and the concept of three class compensation: Z2; P2;
According to universal law, we can be chosen at the position of Z2 between Z1 and the duopole of regulator.The position that P2 chooses is: between the position of duopole and ESR point position.Pass through formula:
Z 2 = 1 2 π × R 2 × C 3 ; P 2 = 1 2 π × C 3 × ( R 2 × R 3 ) / ( R 2 + R 3 )
The 3rd step, Loop loop module regulates:
Circuit theory diagrams explanation, this module is superposeed and is produced by regulator and error amplifier.The parameter that needs in actual applications us to pay close attention to has the size of cross-over frequency point, the phase margin of cross-over frequency point, the slope of cross-over frequency point.
The size of cross-over frequency point should meet the requirement of load bandwidth, and the phase margin of cross-over frequency point should reach 60 degree, should remain on-20db/ of the slope of cross-over frequency point ten octave left and right;
The 4th step, the analysis of Phase allowance principle:
Circuit theory diagrams explanation, consults accompanying drawing 2, and analysis is before all the analyses that gain in bode curve, and we know that integral element can produce a limit, will produce the phase effects of hysteresis; Differential ring festival-gathering increases a zero point, has the effect of leading phase.From accompanying drawing 2, find out, R3 and C2 have formed an integrating circuit, and C2 has just produced a lagging phase.R1 and C1 one of structure have become a differentiating circuit, have produced a zero point, phase margin that can be leading.
Summary of the invention
The technical problem to be solved in the present invention is to overcome the deficiency that above-mentioned prior art exists, and proposes the Power Management Design method based on frequency-domain analysis, has shortened the R&D cycle of Power Management Design, has improved the stability of power supply simultaneously.
For solving the problems of the technologies described above, the present invention adopts following technical scheme:
A Power Management Design method based on frequency-domain analysis, it comprises the steps:
The first step, the assessment of test platform, measures the open-loop transfer function of test platform definite design object;
Second step, is written into test target, draws compensating parameter according to test parameter, and draws the Bode diagram of compensating parameter; Then the Bode diagram stack of the Bode diagram of compensating parameter and open-loop transfer function is drawn to closed loop curve;
The 3rd step, the parameter of alignment error amplifier, Selecting All Parameters value, and described Selecting All Parameters value is debugged in the wiring board of concrete application, draw the Bode diagram response curve in whole loop;
The 4th step, test result is confirmed, obtains the Bode diagram of the closed loop on described test platform, the Bode diagram of described closed loop on test platform and computer simulation chart is contrasted, to confirm whether the two coincide.
Preferably, the definite design object of the described first step obtains by the dynamic response of test load.
Preferably, the described first step also comprises after determining design object, determines cross-over frequency step and definite gain compensation step, finally confirms compensation type.
Wherein, described second step also comprises, a round and smooth treatment step makes the theoretical value of compensating parameter more approach actual value.
Wherein, the 3rd described step also comprises, the confirmation of the timely response condition of a system.
Wherein, after the 4th described step, also comprise the step of a batch production.
The Bode diagram of preferably, drawing in described second step is to adopt computer drawing.
Preferably, the stack of the biography Bode diagram of letter of the open loop in described second step and the Bode diagram of compensating parameter completes by computing machine.
Preferably, the closed loop Bode diagram on test platform and the computer simulation chart in described the 4th step is plotted in same width figure.
Preferably, the parameter of described round and smooth processing is resistance value and capacitance.
Compared with prior art, the present invention has following beneficial effect, the present invention is based on the Power Management Design method of frequency-domain analysis by test frequency domain characteristic, can be understood whereby the degree of stability of power supply characteristic by frequency domain angle; Save research and development and proving time, meet the multi-size of client to power supply, and the short requirement of delivery time-histories; Verify that whereby product has enough phase margins, when volume production, be unlikely to have because of part difference unsettled situation to occur.
Brief description of the drawings
Fig. 1 is the power supply loop circuit theory diagrams of the normal employing of conventional power source in designing;
Fig. 2 is two class compensating circuit schematic diagrams of the normal employing of conventional power source in designing;
Fig. 3 for conventional power source design in the process flow diagram of Power Management Design method;
Fig. 4 is the design flow diagram that the present invention is based on the Power Management Design method of frequency-domain analysis.
Embodiment
The exemplary embodiment that embodies feature & benefits of the present invention will describe in detail in the following description.Be understood that the present invention can have various variations on different embodiments, it neither departs from the scope of the present invention, and explanation wherein and to be shown in be the use when explaining in essence, but not in order to limit the present invention.
Consult accompanying drawing 2, the Power Management Design method based on frequency-domain analysis of the present invention comprises the following steps:
The assessment of test platform:
First, we will measure the open-loop transfer function of platform, inject swept-frequency signal by choose suitable insertion resistance two ends in test platform, can measure out in position the Bode diagram of our conceivable platform open-loop transfer function.The preliminary design object of determining us, design object comprises, the power supply requirement of load end, for example, the selection of inductance sensibility reciprocal, the size of load current, the ripple requirement of load, the dynamic response requirement of load, suitable power switch frequency.By Bode diagram and then determine our design proposal of compensation loop.By observing simulation result, determine the Bode diagram of the open-loop transfer function of platform, and determine compensation type:
In the present embodiment, the design object of determining us that we can be very fast, according to the dynamic response demand of our load, cross-over frequency point is designed to 30KHz by we; By slide bar, we know that we need to compensate 17.51dB in gain in this, need in phase place, compensate 105.8 degree; And we find out that the slope of his cross-over frequency point position is to decay with-1 speed, we can select 2 class compensation therefore to compensate type.According to compensation type, be then to determine that our required volume zero pole location calculates concrete building-out capacitor resistance value.
By the observation to above surveyed bode figure, we just can determine our design object and designing requirement very intuitively, this has accomplished the assurance comprehensive and accurate to design object in principle, and let us was just avoided the indefinite problem of design object at the design initial stage.This has just reduced the probability of the upper error of design, and has reduced the complexity of design process, has improved designing quality.
Second step, is written into design object, determines compensating parameter, and draws the Bode diagram of compensating parameter:
By the open loop condition analysis of appeal, the software systems that we open us are input to our designing requirement in the middle of computer one by one, and computer can calculate the compensating parameter that we need voluntarily, draws out the Bode diagram of compensation simultaneously.
Preferably, these theoretical values that calculate not are arriving of can looking for completely, therefore, we will be by round and smooth processing, here when so-called annulus processing refers to some resistance capacitance value criteria of right and wrong devices that calculate when our theory, we can select approaching resistance capacitance value, and this process can complete by computer software self.The effect reaching is exactly for fear of going to customize some nonstandard capacitance resistance values, avoiding increasing cost, finally allows it approach that we are actual can obtain capacitance resistance value.
After obtaining compensation bode curve map that we want, by Superposition Formula, the Bode diagram of open loop Bode diagram and compensation is superposeed, will obtain our last emulation closed loop curve.
The 3rd step, alignment error amplifier parameter:
Estimate by the theoretical value that software is calculated, then replace by choosing accepted value, these replacement values are debugged on actual plank, actual plank just refers to above-mentioned test platform.The accepted value here: refer to above-mentioned standard capacitance resistance value, remeasuring the bode response curve of whole loop.
In the present embodiment, by emulation stacking diagram, we can find out, the cross-over frequency point arranging before us is 30KHz, and the cross-over frequency point of our emulation stack is 29.45KHz, approaches very much our theoretical value, phase margin is 51.04 deg, and this has reached the system condition of response in time.
The 4th step, confirms design result, and simulation result and actual test result are contrasted:
The bode figure of first, actual measurement closed loop:
By observing, regulate the test result of test platform and us to compare by computer analog result the result calculating according to Computer, see that whether simulation result and platform test result coincide, if coincide, illustrate that the technical parameter of this emulation meets the needs of power supply; If misfit, further to finely tune, method for designing simulation result of the present invention coincide with actual platform design parameter demand substantially, meets the requirements, and has reduced greatly the design cycle, and efficiency obviously improves.
The 5th step, carry out the batch production of power supply:
Our assessment last to test platform and confirm errorless after, just can carry out relieved batch production.Whole debug process, to save the debug time of 3 to 4 times than traditional Power Management Design flow process, and the net result obtaining and expected results can be good at coincideing, this has also strengthened the competitive power of company on market in having improved design efficiency, shorten the time in product introduction market, improved the life cycle of product.
A kind of Power Management Design method based on frequency-domain analysis of the present invention, the beneficial effect having is:. research and development/checking slip-stick artist only needs source and load test time domain specification, can be understood whereby the degree of stability of power supply characteristic by frequency domain angle; Save research and development/proving time, meet the multi-size of client to power supply, and the short requirement of delivery time-histories; Verify that whereby product has enough phase margins, when volume production, be unlikely to have because of part difference unsettled situation to occur; Frequency domain response analysis chart is provided, can strengthens the trust of client to designed capacity, promote the image of company.
It should be noted that, these are only better possible embodiments of the present invention, not limit the scope of the invention, the equivalent structure that all utilizations instructions of the present invention and accompanying drawing content have been done changes, and is all included in protection scope of the present invention.

Claims (10)

1. the Power Management Design method based on frequency-domain analysis, is characterized in that, comprises the steps:
The first step, the assessment of test platform, measures the open-loop transfer function of test platform definite design object;
Second step, is written into test target, draws compensating parameter according to test parameter, and draws the Bode diagram of compensating parameter; Then the Bode diagram stack of the Bode diagram of compensating parameter and open-loop transfer function is drawn to closed loop curve;
The 3rd step, the parameter of alignment error amplifier, Selecting All Parameters value, and described Selecting All Parameters value is debugged in the wiring board of concrete application, draw the Bode diagram response curve in whole loop;
The 4th step, test result is confirmed, obtains the Bode diagram of the closed loop on described test platform, the Bode diagram of described closed loop on test platform and computer simulation chart is contrasted, to confirm whether the two coincide.
2. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, the definite design object of the described first step obtains by the dynamic response of test load.
3. the Power Management Design method based on frequency-domain analysis as claimed in claim 2, is characterized in that, the described first step also comprises after determining design object, determines cross-over frequency step and definite gain compensation step, finally confirms compensation type.
4. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, described second step also comprises, a round and smooth treatment step makes the theoretical value of compensating parameter more approach actual value.
5. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, the 3rd described step also comprises, the confirmation of the timely response condition of a system.
6. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, also comprises the step of a batch production after the 4th described step.
7. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, the Bode diagram of drawing in described second step is to adopt computer drawing.
8. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, the stack that the open loop in described second step passes the Bode diagram of letter and the Bode diagram of compensating parameter completes by computing machine.
9. the Power Management Design method based on frequency-domain analysis as claimed in claim 1, is characterized in that, the closed loop Bode diagram on test platform and computer simulation chart in described the 4th step are plotted in same width figure.
10. the Power Management Design method based on frequency-domain analysis as claimed in claim 4, is characterized in that, the parameter of described round and smooth processing is resistance value and capacitance.
CN201410386810.5A 2014-08-07 2014-08-07 A kind of Power Management Design method based on frequency-domain analysis Expired - Fee Related CN104181820B (en)

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