CN106301052B - A kind of improved sliding moding structure Delta modulator approach - Google Patents
A kind of improved sliding moding structure Delta modulator approach Download PDFInfo
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Classifications
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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
- H02M3/22—Conversion of dc power input into dc power output with intermediate conversion into ac
- H02M3/24—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
- H02M3/28—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac
- H02M3/325—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal
- H02M3/335—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only
- H02M3/3353—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only having at least two simultaneously operating switches on the input side, e.g. "double forward" or "double (switched) flyback" converter
-
- 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
- H02M1/00—Details of apparatus for conversion
- H02M1/14—Arrangements for reducing ripples from dc input or output
-
- 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
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/53—Conversion of dc power input into ac power output without possibility of reversal 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
- H02M7/537—Conversion of dc power input into ac power output without possibility of reversal 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, e.g. single switched pulse inverters
- H02M7/5387—Conversion of dc power input into ac power output without possibility of reversal 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, e.g. single switched pulse inverters in a bridge configuration
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
- Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
- Y02B70/10—Technologies improving the efficiency by using switched-mode power supplies [SMPS], i.e. efficient power electronics conversion e.g. power factor correction or reduction of losses in power supplies or efficient standby modes
Abstract
The present invention relates to a kind of improved sliding moding structure Delta modulator approaches, its technical characterstic is: the following steps are included: the series resonant inverter discrete time dynamic model of step 1, foundation based on the adjustable Delta controller control of conventional current, step 2, the output performance for introducing integrator improvement current adjustment Delta controller；Step 3, the switch state based on sliding mode control theory analysis series resonant inverter, choose suitable integrator integral gain value Ki；Step 4 introduces integral reset link, chooses suitable error bandwidth, the upper limit value of further expansion integrator integral gain value Ki.The present invention has the integrator of reset function by being added in traditional current adjustment Delta controller, further reduces the steady state bias value of output electric current, while keeping ripple current content in a lower level.
Description
Technical field
The invention belongs to power electronics control technology fields, are related to the big function such as induction heating power, uninterruptible power supply (UPS)
Rate Switching Power Supply, especially a kind of improved sliding moding structure Delta modulator approach.
Background technique
Along with the raising of power semiconductor switching device speed and rated capacity, in inducing melting, uninterrupted electricity
The fields such as source voltage-source type series resonant inverter is receive more and more attention.Voltage source series resonant inverter usually by
DC voltage source, high-frequency inverter, load matched transformer and induction coil are constituted, corresponding control load output electric current or
The method of person's output power is to realize this process using the constant inverter of silicon con trolled rectifier device and switching frequency.To the greatest extent
Manage that this method is theoretically easy to accomplish, but the switching device in rectifier is usually operated at hard switching state, further
Increase the volume and weight of power loss and equipment.
In view of the above-mentioned problems, using a kind of high-performance electric flow control technology at present.Inverter is uncontrollable whole by diode
Current circuit provides direct current, and the device for power switching work in inverter circuit is close to obtain higher output power in resonant state
Degree.Another is the production that current adjustment Delta controller (CRDM) is applied to series resonant inverter control pulse train
Raw, this method uses the adjuster of high-gain, thus has stronger robustness and the speed of response.But CRDM control output
Electric current is frequently accompanied by non-zero steady-state error and biasing, leads to output power penalty.
Summary of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of designs rationally, the stable state of output electric current is inclined
Set the improved sliding moding structure Delta modulator approach that value is small and ripple current content is low.
The present invention solves its technical problem and adopts the following technical solutions to achieve:
A kind of improved sliding moding structure Delta modulator approach, comprising the following steps:
Step 1 establishes the series resonant inverter discrete time dynamic based on the adjustable Delta controller control of conventional current
Model, and obtained by the equivalent analysis to the series resonant inverter based on the adjustable Delta controller control of conventional current
In one sampling period, when Delta controller control adjustable using conventional current, the output loading electricity of series resonant inverter
Relational expression between stream and current ripples amplitude；
Step 2, according to the output load current variable quantity of the series resonant inverter of step 1 and the pass of current ripples amplitude
It is expression formula, draws out under different equivalent control input, the corresponding relationship of load output electric current and current ripples amplitude；And
In order to reduce the outlet side current offset value of current adjustment Delta controller, introducing integrator improves current adjustment Delta control
The output performance of device；
Step 3, the switch state based on sliding mode control theory analysis series resonant inverter, choose suitable product
Divide device integral gain value Ki；
Step 4, for the upper limit value of integrator integral gain value Ki described in further expansion, in the introducing of the step 2
Integral reset link is introduced in the feedforward path of the current adjustment Delta controller of integrator, chooses suitable error bandwidth η,
When outlet side current error value is greater than preset error bandwidth η, integrator is forced to reset, by this control method, into
The upper limit value of one step expansion integrator integral gain value Ki.
Moreover, the relationship between the output load current and current ripples amplitude of the series resonant inverter of the step 1
Expression formula are as follows:
Wherein, u* (k+1) is equivalent control input, corresponding expression formula are as follows:
Wherein, M (k) is used to describe the operational mode of inverter, can be expressed as follows:
In above formula, Q is loaded quality factor；Δ I is current ripples amplitude；ImaxTo export current maxima；IoFor output
Electric current.
Moreover, the integrator that introduces of the step 2 improves the output performance specific method of current adjustment Delta controller
Are as follows: it joined an integrator in the feedforward path of the adjustable Delta controller of conventional current, in every half of harmonic period,
Acquisition series resonant inverter output current value is compared with reference current value, error signal is generated, using integrator
It adjusts to generate the switch control signal of subsequent time inverter, and then determines the operational mode of subsequent time inverter.
Moreover, the step 3 method particularly includes: in order to choose suitable integrator gain Ki, introduce sliding moding structure
Control theory establishes the switch state expression formula based on Sliding mode variable structure control, by establishing opening under Sliding mode variable structure control
The relationship of off status and equivalent control input, obtains the corresponding expression formula of integral gain Ki and equivalent control input u* (k+1), into
And by choosing different equivalent control inputs, determine the upper limit value of integral gain Ki are as follows:
In above formula, T is half of harmonic period；
Moreover, the suitable error bandwidth η of selection of the step 4 method particularly includes: the series connection in conjunction with step 1 is humorous
Relational expression between the output load current and current ripples amplitude of vibration inverter, mapping are obtained in different reference current values
Under equivalent control input and current error value homologous thread, and then analyzed the expression formula of error bandwidth η are as follows:
The advantages and positive effects of the present invention are:
1, the invention proposes a kind of improved sliding moding structure Delta modulator approaches, by traditional current adjustment
The integrator for having reset function is added in Delta controller (CRDM), further reduces the steady state bias value of output electric current,
Keep ripple current content in a lower level simultaneously, transient response overshoot can almost be ignored.And by testing
The regulation performance for having demonstrate,proved current controller, when applying the present invention to the systems such as induction heating power, uninterruptible power supply, output work
Rate density is high, and it is wide to control to adjust range.
2, it the present invention is based on the analysis that the series resonant inverter dynamic current model to Zero Current Switch state carries out, mentions
A kind of improved sliding moding structure Delta modulator approach out.For integrator gain and error bandwidth setting use based on from
The sliding mode variable structure theory for dissipating time-domain further improves the stability of resonance inverter output electric current, it is humorous to improve series connection
The output power of vibration inverter.
Detailed description of the invention
Fig. 1 is the method for the present invention flow chart；
Fig. 2 is series resonant circuit schematic diagram of the invention；
Fig. 3 is the correspondence diagram of load output electric current and current ripples amplitude under different equivalent control input；
Fig. 4 is the adjustable Delta controller principle figure of conventional current of the invention；
Fig. 5 is the current adjustment Delta controller principle figure of addition integral reset of the invention；
Fig. 6 is of the invention to work as Iref<0.5ImaxWhen corresponding current error and control input value schematic diagram；
Fig. 7 is of the invention to work as Iref>0.5ImaxWhen corresponding current error and control input value schematic diagram.
Specific embodiment
The embodiment of the present invention is described in further detail below in conjunction with attached drawing:
A kind of improved sliding moding structure Delta modulator approach, as shown in Figure 1, comprising the following steps:
Step 1 establishes the series resonant inverter discrete time dynamic based on the adjustable Delta controller control of conventional current
Model is obtained by the equivalent analysis to the series resonant inverter based on the adjustable Delta controller control of conventional current one
In a sampling period, when Delta controller control adjustable using conventional current, the output load current of series resonant inverter
With the relational expression between current ripples amplitude:
Wherein, u* (k+1) is equivalent control input, corresponding expression formula are as follows:
Wherein, M (k) is used to describe the operational mode of inverter, can be expressed as follows:
In above formula, Q is loaded quality factor；Δ I is current ripples amplitude；ImaxTo export current maxima；IoFor output
Electric current；
Step 2, according to the output load current variable quantity of the series resonant inverter of step 1 and the pass of current ripples amplitude
It is expression formula, draws out as shown in Figure 3 under different equivalent control input, pair of load output electric current and current ripples amplitude
Answer relation schematic diagram；From the figure 3, it may be seen that corresponding invertor operation is in regenerating condition, load electricity when equivalent control input is negative value
Flow valuve is gradually reduced, and current ripples amplitude increases.In this case, control input value only has 0 and 1 two state, exports
State switch speed or current change rate cannot be properly adjusted, and cause outlet side current ripples content high, electric current is inclined
It sets big.Therefore, in order to reduce the outlet side current offset value of current adjustment Delta controller, in conventional current as shown in Figure 4
An integrator is added in the feedforward path of adjustable Delta controller, in every half of harmonic period, acquires series-resonant inverting
Device output current value IoWith reference current value IrefIt is compared, generates error signal Ie, generated using the adjusting of integrator
The switch control signal of subsequent time inverter, and then determine the operational mode of subsequent time inverter, it can so as to improve electric current
Adjust the output performance of Delta controller.
Step 3, the switch state based on sliding mode control theory analysis series resonant inverter, choose suitable product
Divide device integral gain value Ki；
The step 3 method particularly includes: in order to choose suitable integrator gain Ki, introduce Sliding mode variable structure control reason
By switch state expression formula of the foundation based on Sliding mode variable structure control passes through the switch state established under Sliding mode variable structure control
With the relationship of equivalent control input, the corresponding expression formula of integral gain Ki and equivalent control input u* (k+1) are obtained, and then pass through
Different equivalent control inputs is chosen, determines the upper limit value of integral gain Ki are as follows:
In above formula, T is half of harmonic period；
Step 4, for the upper limit value of integrator integral gain value Ki described in further expansion, in the introducing of the step 2
Integral reset link is introduced in the feedforward path of the current adjustment Delta controller of integrator, then determines error bandwidth η most
Small value needs to choose a lesser η value, while meeting maximum current error amount under steady state conditions to reduce overshoot
When reset integrator；Suitable error bandwidth η is chosen, when outlet side current error value is greater than preset error bandwidth η,
Integrator is forced to reset, by this control method, the upper limit value of further expansion integrator integral gain value Ki.
The current adjustment Delta controller principle figure of addition integral reset of the invention, as shown in Figure 5；
The suitable error bandwidth η's of selection of the step 4 method particularly includes: the series resonance in conjunction with step 1 is inverse
Become the relational expression between the output load current and current ripples amplitude of device, mapping obtains under different reference current values
The homologous thread of equivalent control input and current error value, and then analyzed the expression formula of error bandwidth η are as follows:
The determination process of the upper limit value of the integral gain Ki of integrator in the present embodiment is described in detail below:
Known matching transformer secondary side output voltage initial value is Vs, moment t=0 is corresponded to, then exports electric current ioAnd the tank circuit
Capacitance voltage vcSimplified expression can indicate are as follows:
Wherein,
In above formula, LeqTo load equivalent inductance value；ReqTo load equivalent resistance；
Since each device for power switching is always in its switch state of current zero-crossing point time changing, thus switching device
Switching frequency be always equal to load resonant frequency.The value V of the input terminal voltage of series resonant circuit as shown in Figure 2dcBy inverse
It is as follows to become the decision of device switch state:
In above formula, Q1、Q2、Q3、Q4Respectively correspond the device for power switching state in series resonant inverter；
The operational mode for defining discrete variable M (k) description inverter, can be expressed as follows:
Convolution (4), formula (3) can be write as:
vs(t)=VdcM(k)sign(io(t)) for kT < t < (k+1) T (5)
In above formula, T=π/ωdFor half of harmonic period；
Assuming that the absolute value of load output current peak is Io, in half of harmonic period, switch instantaneous capacitance voltage
For Vc, using above-mentioned two discrete variable as quantity of state, can be obtained by formula (1), (2) and (5):
In above formula, loaded quality factor Q > > 1；
Formula (7) are substituted into (6), it can be deduced that the electric current I under discrete timeo(k+1):
Io(k+1)=Φ Io(k)+Γu*(k+1) (8)
It is { 1,0.5,0, -0.5, -1 } that equivalent control, which inputs u* (k+1) value range, then flows through the output electricity of loading coil
Stream maximum value can be obtained by formula (8):
Within a sampling period, the variation of load current determines the amplitude of current ripples, relational expression are as follows:
Wherein,
Switch state S (k) based on Sliding mode variable structure control can be indicated are as follows:
S (k)=Ie(k)+Kiz(k) (11)
Z (k+1)=z (k)+TIe(k) (12)
In above formula, IeFor current error value；Z (k) is integration gain factor；
S (k) can be obtained with joint type (8), (11) and (12)；
When-S (k)=0 S (k+1), K is solvedi；
When controlling input signal values M (k+1)=1, u* (k+1) possible value is { 1,0.5 }；
As u* (k+1)=1, KiMeet:
0 < Ki< K1 (15)
Wherein, K1For in u* (k+1)=1 and Ie(k) > 0 K is corresponded to wheniValue；
When controlling input signal values M (k+1)=0, u* (k+1) possible value is { 0,0.5 }；
As u* (k+1)=0, KiMeet:
0 < Ki< Ko (16)
Wherein, KoFor in u* (k+1)=0 and Ie(k) < 0 the corresponding K of up-to-date style (12)iValue.
As u* (k+1)=0 or 1, K can be obtained by formula (14), (15)iMeet:
But as u* (k+1)=0.5, KiIt can not solve, correspond to S (k) < 0, I at this timeo(k)<0.5 or S (k)>0, Io
(k) > 0.5 two kind of situation, in order to reduce current ripples in this case, the value of subsequent time S (k+2) should meet:
S (k) { S (k+2)-S (k+1) } < 0 (18)
At this point, u*(k+2) possibility value is { 1,0 }, and meets M (k+2)=M (k+1) simultaneously；
By above-mentioned formula (17), when meeting Iref=ImaxOr IrefWhen=0, it can be deduced that:
In the present embodiment, Fig. 6 and Fig. 7 is of the invention to work as I respectivelyref<0.5ImaxWhen and work as Iref>0.5ImaxWhen it is corresponding
Current error and control input value schematic diagram.Wherein, IrefFor reference current value, ImaxTo export current maxima, Jin Erfen
The expression formula of error bandwidth η is precipitated are as follows:
The working principle of the invention is:
The present invention is suitable for the high power switching power supplies such as induction heating power, uninterruptible power supply (UPS), first of all for electricity
Flow adjustable Delta controller (CRDM) carry out simplify and effectively analyze, propose one based on series resonant inverter from
Dissipate Time Dynamic Model.It analyzes and has obtained under different switch states, the correspondence situation of change of resonance inverter output current value
With output current ripple Producing reason.
Then whether defeated when the current adjustment Delta controller control resonance inverter with integral reset is added
Do well response time of switch speed or current change rate all further shortens, and outlet side current ripples content is also corresponding
It reduces, current offset reduces.
Inverter switching states are analyzed in conjunction with Sliding mode variable structure control, choose suitable integral gain value and error bandwidth
Value, collected inverter circuit outlet side current value in every half of harmonic period is compared with reference current value, generation
Error signal passes through the output of PI controller, using the adjusting of adjuster, and then determines the operation mould of subsequent time inverter
Formula.
It is emphasized that embodiment of the present invention be it is illustrative, without being restrictive, therefore packet of the present invention
Include and be not limited to embodiment described in specific embodiment, it is all by those skilled in the art according to the technique and scheme of the present invention
The other embodiments obtained, also belong to the scope of protection of the invention.
Claims (1)
1. a kind of improved sliding moding structure Delta modulator approach, it is characterised in that: the following steps are included:
Step 1 establishes the series resonant inverter discrete time dynamic analog based on the adjustable Delta controller control of conventional current
Type, and obtained by the equivalent analysis to the series resonant inverter based on the adjustable Delta controller control of conventional current one
In a sampling period, when Delta controller control adjustable using conventional current, the output load current of series resonant inverter
With the relational expression between current ripples amplitude；
Step 2, according to the output load current of the series resonant inverter of step 1 and the relational expression of current ripples amplitude,
It draws out under different equivalent control input, the corresponding relationship of load output electric current and current ripples amplitude；And in order to reduce
The outlet side current offset value of current adjustment Delta controller, introducing integrator improves the output of current adjustment Delta controller
Performance；
Step 3, the switch state based on sliding mode control theory analysis series resonant inverter, choose suitable integrator
Integral gain value Ki；
Step 4, for the upper limit value of integrator integral gain value Ki described in further expansion, integrated in the introducing of the step 2
Integral reset link is introduced in the feedforward path of the current adjustment Delta controller of device, suitable error bandwidth η is chosen, when defeated
When current error value in side is greater than preset error bandwidth η out, integrator is forced to reset, by this control method, further
Expand the upper limit value of integrator integral gain value Ki；
Relational expression between the output load current and current ripples amplitude of the series resonant inverter of the step 1 are as follows:
Wherein, u* (k+1) is equivalent control input, corresponding expression formula are as follows:
Wherein, M (k) is used to describe the operational mode of inverter, can be expressed as follows:
In above formula, Q is loaded quality factor；Δ I is current ripples amplitude；ImaxTo export current maxima；IoTo export electric current；
The integrator that introduces of the step 2 improves the output performance of current adjustment Delta controller method particularly includes: in traditional electricity
It flows and joined an integrator in the feedforward path of adjustable Delta controller, in every half of harmonic period, acquire series resonance
Inverter output current value is compared with reference current value, outlet side current error value is generated, using the adjusting of integrator
To generate the switch control signal of subsequent time inverter, and then the operational mode of decision subsequent time inverter；
The step 3 method particularly includes: in order to choose suitable integrator integral gain Ki, introduce Sliding mode variable structure control reason
By switch state expression formula of the foundation based on Sliding mode variable structure control passes through the switch state established under Sliding mode variable structure control
With the relationship of equivalent control input, the corresponding expression formula of integrator integral gain Ki and equivalent control input u* (k+1) are obtained, into
And by choosing different equivalent control inputs, determine the upper limit value of integrator integral gain Ki are as follows:
In above formula, T is half of harmonic period；
The suitable error bandwidth η's of selection of the step 4 method particularly includes: in conjunction with the series resonant inverter of step 1
Output load current and current ripples amplitude between relational expression, mapping obtain it is equivalent under different reference current values
Control outputs and inputs the homologous thread of side current error value, and then has analyzed the expression formula of error bandwidth η are as follows:
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| CN106301052A (en) | 2017-01-04 |
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