CN105897030B - A kind of dead beat determines frequency model predictive control method, apparatus and system - Google Patents
A kind of dead beat determines frequency model predictive control method, apparatus and system Download PDFInfo
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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
- 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
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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
- H02M1/00—Details of apparatus for conversion
- H02M1/0003—Details of control, feedback or regulation circuits
- H02M1/0025—Arrangements for modifying reference values, feedback values or error values in the control loop of a converter
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- 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
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/50—Photovoltaic [PV] energy
- Y02E10/56—Power conversion systems, e.g. maximum power point trackers
Abstract
The invention discloses a kind of dead beats to determine frequency model predictive control method, apparatus and system, belongs to photovoltaic generation Variable flow control technical field, and wherein this method includes calculating obtaining exports reference current under k+1 moment three-phase voltage-type inverter α β coordinate systemsWithValue;It calculates and obtains output reference voltage under k moment three-phase voltage-type inverter α β coordinate systemsWithAccording to reference voltage vectorResiding sector acts on vector using two voltage vectors for surrounding sector residing for reference voltage vector as the first effect vector sum second, vector is acted on using zero vector as third;Calculate the action time t for obtaining the first effect vector1, second effect vector action time t2With the action time t of third effect vector0.Present invention incorporates the advantages of model prediction and track with zero error, inverter output voltage, current spectrum are concentrated on to the integral multiple of switching frequency, are conducive to the design of output filter.
Description
Technical field
The present invention relates to photovoltaic generation Variable flow control technical fields, and in particular to a kind of dead beat determines frequency Model Predictive Control
Method, apparatus and system.
Background technology
With economic fast development and the increasingly pollution of environment, demand of the mankind to regenerative resource increasingly increases.Mesh
Before, the development and utilization of regenerative resource obtains the attention of national governments.In regenerative resource development and utilization, inverter is made
It is development of renewable energy for renewable energy power generation (wind-power electricity generation, solar power generation etc.) and power grid or the bridge of load connection
The core of electricity, performance directly affect entire renewable energy system.Control for three-phase voltage-type inverter, it is conventional
Method has proportional plus integral control under rotating coordinate system, quasi-resonance control, current hysteresis-band control, dead beat control under rest frame
System etc..But there are inverters for quasi-resonance control method under the proportional plus integral control method and rest frame under rotating coordinate system
The deficiencies of performance is related to the parameter of controller.And selection and the designer of proportional plus integral control parameter and quasi-resonance control parameter
Experience it is related, the selection of parameter will pass through a large amount of experiment.The current hysteresis-band control of voltage source inverter is simple and is
System has good dynamic property, but inverter output voltage, current spectrum are more dispersed, is unfavorable for the design of output filter.
Deadbeat Control Inverter has good dynamic property.But system is more sensitive to filtering parameter, and robustness is poor.
In recent years, with the development of microelectric technique and digital signal processor, Model Predictive Control becomes in power electronics
Parallel operation is widely used.Converters or motor driver can be defined as how going to select suitable gate pole
Driving control signal S (t) makes the variable x (t) of control system be gone as possible close to desirable reference variable x*(t).It is assumed that system
Sampling period be Ts, system variable x (t) is in tkMoment value is x (tk).If system is there are n controlling behavior, and n is limited.Mould
Type PREDICTIVE CONTROL makes full use of the discretization feature of converters, fully takes into account limited kind of converters
On off state (converters have particular kind of switch combination).Model Predictive Control is with an object function to every
A kind of behavior (switch combinations of converters) prediction result carries out online evaluation, and selection can meet object function minimum
Switch combination realize the control to converters.As Chilean Rodriguez professors R should by Model Predictive Control
For two level grid-connected inverters, more level grid-connected inverters, AC Motor Control, uninterruptible power supply (UPS), matrix form transformation
Deng the fine quiet, dynamic property of acquirement.Insufficient inverter output voltage, the current spectrum of Model Predictive Control maximum are more dispersed,
The difficult design of inverter filtering device.
Invention content
Therefore, technical problems to be solved of the embodiment of the present invention are the inverter output of current model predictive control method
Voltage, current spectrum are more dispersed, the difficult design of output filter.
For this purpose, a kind of dead beat of the embodiment of the present invention determines frequency model predictive control method, include the following steps:
It calculates to obtain and exports reference current under k+1 moment three-phase voltage-type inverter α β coordinate systemsWith
Value;
According to formulaIt calculates and obtains k moment three-phase voltage-type inverters α
Output reference voltage under β coordinate systemsWithWherein, iα(k) and iβ(k) it is respectively k moment three-phase voltage type inversions
α, β component of the device output current under α β coordinate systems, R are load resistance, TsFor the sampling period, L is filter inductance value;
According to reference voltage vectorResiding sector will surround reference voltage vector
Two voltage vectors of residing sector act on vector as the first effect vector sum second, and zero vector as third is acted on and is sweared
Amount, wherein, the switch combination exported according to three-phase voltage-type inverter obtains the voltage space arrow that α β planes are marked off to sector
Amount, space vector of voltage include voltage vector and zero vector;
According to formulaCalculate the effect for obtaining the first effect vector
Time t1, second effect vector action time t2With the action time t of third effect vector0, wherein, g1、g2And g0Respectively
First effect vector, the corresponding target function value of the second effect vector sum third effect vector,Wherein, uαm(k) and uβm(k) it is respectively k moment m
α, β component of the effect vector under α β coordinate systems, m=0,1,2.
Preferably, the output reference currentWithIt is calculated and obtained by linear interpolation theorem, calculated public
Formula is as follows:
Wherein,WithPoint
Not Wei k moment, k-1 moment and k-2 moment output reference current.
Preferably, the space vector of voltage is the space vector of voltage that α β planes are marked off to six sectors, including voltage
Vector unWith zero vector u0、u7, n=1,2 ..., 6;
Wherein, uαnAnd uβnRespectively voltage vector unα, β component under α β coordinate systems, VdcFor DC bus-bar voltage,For transformation matrix,Sa、SbAnd ScA, b and c phase are represented respectively
On off state.
Preferably, described calculate exports reference current under acquisition k+1 moment three-phase voltage-type inverter α β coordinate systemsWithValue the step of before, it is further comprising the steps of:
Obtain output current of the k moment three-phase voltage-type inverter under three phase static abc coordinate systems;
α components i output current under three phase static abc coordinate systems being converted under α β coordinate systemsα(k) and β components iβ
(k)。
A kind of dead beat of the embodiment of the present invention determines frequency model predictive control apparatus, including:
First computing unit obtains output reference electricity under k+1 moment three-phase voltage-type inverter α β coordinate systems for calculating
StreamWithValue;
Second computing unit, for according to formulaIt calculates and obtains the k moment
Output reference voltage under three-phase voltage-type inverter α β coordinate systemsWithWherein, iα(k) and iβ(k) it is respectively k
α, β component of the moment three-phase voltage-type inverter output current under α β coordinate systems, R are load resistance, TsFor sampling period, L
For filter inductance value;
Vector determination unit is acted on, for according to reference voltage vectorResiding fan
Two voltage vectors for surrounding sector residing for reference voltage vector are acted on vector by area, will
Zero vector acts on vector as third, wherein, it is obtained according to the switch combination that three-phase voltage-type inverter exports and draws α β planes
The space vector of voltage of sector is separated, space vector of voltage includes voltage vector and zero vector;
Action time obtaining unit, for according to formulaIt calculates
Obtain the action time t of the first effect vector1, second effect vector action time t2With the action time of third effect vector
t0, wherein, g1、g2And g0Respectively first effect vector, the corresponding object function of the second effect vector sum third effect vector
Value, Wherein, uαm(k) and uβm(k) it is respectively the k moment
α, β component of the m effect vectors under α β coordinate systems, m=0,1,2.
Preferably, the output reference currentWithIt is calculated and obtained by linear interpolation theorem, calculated public
Formula is as follows:
Wherein,WithPoint
Not Wei k moment, k-1 moment and k-2 moment output reference current.
Preferably, the space vector of voltage is the space vector of voltage that α β planes are marked off to six sectors, including voltage
Vector unWith zero vector u0、u7, n=1,2 ..., 6;
Wherein, uαnAnd uβnRespectively voltage vector unα, β component under α β coordinate systems, VdcFor DC bus-bar voltage,For transformation matrix,SbAnd ScA, b and c phase are represented respectively
On off state.
Preferably, it before first computing unit, further includes:
Acquiring unit, for obtaining output electricity of the k moment three-phase voltage-type inverter under three phase static abc coordinate systems
Stream;
Coordinate transformation unit, for α points be converted into the output current under three phase static abc coordinate systems under α β coordinate systems
Measure iα(k) and β components iβ(k)。
A kind of dead beat of the embodiment of the present invention determines frequency model predictive control system, including:Three-phase voltage-type inverter and
Above-mentioned dead beat determines frequency model predictive control apparatus;
The output terminal connection of three-phase voltage-type inverter, input terminal and regenerative resource, control terminal are determined with dead beat
The output terminal connection of frequency model predictive control apparatus;
Dead beat determines frequency model predictive control apparatus, for generating the first effect vector of control three-phase voltage-type inverter
Action time t1, second effect vector action time t2With the action time t of third effect vector0。
The technical solution of the embodiment of the present invention, has the following advantages that:
1. dead beat provided in an embodiment of the present invention determines frequency model predictive control method, apparatus and system, by using k+1
Moment exports reference currentWithTo calculate k moment output reference voltagesWithI.e. according to inverse
Become the deviation of device set-point and actual value, realize the tracking to set-point in next sampling, realize track with zero error, and
Inverter output voltage, current spectrum concentrate on the integral multiple of switching frequency, so as to combine model prediction and track with zero error
The advantages of, system has good quiet, dynamic property, is also beneficial to the design of output filter.And using three effect vectors
The calculating of prediction model and object function is carried out, calculation times is greatly reduced, improves computational efficiency.
Description of the drawings
It, below will be to specific in order to illustrate more clearly of the specific embodiment of the invention or technical solution of the prior art
Embodiment or attached drawing needed to be used in the description of the prior art are briefly described, it should be apparent that, in being described below
Attached drawing is some embodiments of the present invention, for those of ordinary skill in the art, before not making the creative labor
It puts, can also be obtained according to these attached drawings other attached drawings.
Fig. 1 is the flow chart of the specific example that dead beat determines frequency model predictive control method in the embodiment of the present invention 1;
Fig. 2 is the space vector of voltage relational graph for marking off six sectors;
Fig. 3 is the structure chart of three-phase voltage type contravariant generating system;
Fig. 4 is action time and the precedence diagram that reference voltage vector respectively acts on vector at I sector;
Fig. 5 is that the dead beat of three-phase voltage-type inverter determines frequency Model Predictive Control policy map;
Fig. 6 is the principle frame of the specific example that dead beat determines frequency model predictive control apparatus in the embodiment of the present invention 2
Figure;
Fig. 7 is the principle frame of the specific example that dead beat determines frequency model predictive control system in the embodiment of the present invention 3
Figure.
Specific embodiment
Technical scheme of the present invention is clearly and completely described below in conjunction with attached drawing, it is clear that described implementation
Example is part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill
Personnel's all other embodiments obtained without making creative work, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that term " first ", " second " etc. are only used for description purpose, without
It is understood that indicate or implying relative importance.
As long as in addition, technical characteristic involved in invention described below different embodiments non-structure each other
It can be combined with each other into conflict.
Embodiment 1
The present embodiment provides a kind of dead beats to determine frequency model predictive control method, for example, can be applied to three-phase voltage type
Contravariant generating system, as shown in Figure 1, this method includes the following steps:
S1, reckoning are obtained and are exported reference current under k+1 moment three-phase voltage-type inverter α β coordinate systemsWith
Value;
S2, according to formulaIt is inverse to calculate acquisition k moment three-phase voltage types
Become output reference voltage under device α β coordinate systemsWithWherein, iα(k) and iβ(k) it is respectively k moment three-phase voltages
α, β component of the type inverter output current under α β coordinate systems, R are load resistance, TsFor the sampling period, L is filter inductance value;
S3, according to reference voltage vectorResiding sector will surround reference voltage
Two voltage vectors of sector residing for vector act on vector as the first effect vector sum second, are acted on zero vector as third
Vector, wherein, the switch combination exported according to three-phase voltage-type inverter obtains the voltage space that α β planes are marked off to sector
Vector, space vector of voltage include voltage vector and zero vector;
S4, according to formulaIt calculates and obtains the first effect vector
Action time t1, second effect vector action time t2With the action time t of third effect vector0, wherein, g1、g2And g0Point
Not Wei the first effect vector, the second effect vector sum third act on the corresponding target function value of vector,Wherein, uαm(k) and uβm(k) it is respectively k moment m
α, β component of the effect vector under α β coordinate systems, m=0,1,2.
Above-mentioned dead beat determines frequency model predictive control method, and reference current is exported by using the k+1 momentWithTo calculate k moment output reference voltagesWithI.e. according to inverter set-point and the deviation of actual value,
The tracking to set-point is realized in next sampling, realizes track with zero error, and inverter output voltage, current spectrum collection
In switching frequency integral multiple, the advantages of so as to combine model prediction and track with zero error, system has quiet, dynamic well
Performance is also beneficial to the design of output filter.And the meter of prediction model and object function is carried out using three effect vectors
It calculates, greatly reduces calculation times, improve computational efficiency.
Preferably, reference current is exportedWithIt is calculated and obtained by linear interpolation theorem, calculation formula is such as
Under:
Wherein,WithPoint
Not Wei k moment, k-1 moment and k-2 moment output reference current.
Preferably, space vector of voltage is the space vector of voltage that α β planes are marked off to six sectors, space vector of voltage
Relationship is as shown in Fig. 2, it includes voltage vector unWith zero vector u0、u7, n=1,2 ..., 6;Six sectors are expressed as sector
Ⅰ、Ⅱ、Ⅲ、Ⅳ、Ⅴ、Ⅵ。
Wherein, uαnAnd uβnRespectively voltage vector unα, β component under α β coordinate systems, VdcFor DC bus-bar voltage,For transformation matrix,Sa、SbAnd ScA, b and c phase are represented respectively
On off state.
Preferably, it is further comprising the steps of before step S1:
S0-1, output current of the k moment three-phase voltage-type inverter under three phase static abc coordinate systems is obtained;
S0-2, the α components i being converted into the output current under three phase static abc coordinate systems under α β coordinate systemsα(k) divide with β
Measure iβ(k)。
Above-mentioned dead beat determines frequency model predictive control method, by first obtaining under three-phase voltage-type inverter abc coordinate systems
Output current, α, β component being then again converted into the output current under the abc coordinate systems under α β coordinate systems, for subsequently counting
It calculates and uses, since the acquisition of the output current under abc coordinate systems is relatively easy, calculated so as to simplify, improve treatment effeciency.
It is described in detail by taking a kind of specific three-phase voltage type contravariant generating system as an example below, the knot of the electricity generation system
Structure is as shown in Figure 3.The electricity generation system is mainly filtered by regenerative resource (such as photovoltaic, wind-powered electricity generation), three-phase voltage-type inverter, L
The compositions such as device, load R.Regenerative resource can be by DC power supply EdcWith direct current input resistance RdcIt is equivalent.
According to Kirchhoff's second law, dynamic current equation is (current reference direction is as shown in Figure 3):
Wherein, ia、ib、icFor three-phase voltage-type inverter output current;uaN、ubN、ucNIt is defeated for three-phase voltage-type inverter
Go out voltage;R is load resistance;unNFor the voltage between the neutral point of network voltage and the cathode of dc bus.
In view of three-phase symmetrical system, then
ia+ib+ic=0 (2)
Convolution (1) and (2) can obtain:
Convolution (1) and formula (3) can obtain:
In order to which the mathematical model of three-phase voltage-type inverter three phase static abc coordinate systems is transformed to the static α β coordinates of two-phase
In system, transformation matrix C3/2(constant power coordinate transform) and its inverse matrixIt is defined as follows:
Combinatorial formula (4) and formula (5) can obtain:
Wherein, iα、iβFor three-phase voltage-type inverter output current under α β coordinate systems α, β component;uα、uβFor three-phase electricity
Die mould inverter output voltage α, β component under α β coordinate systems.
It is assumed that sampling period TsTo be smaller, by Euler's formula, formula (6) discretization can be obtained:
It is in (k+1) moment three-phase voltage-type inverter predicted current then:
It is assumed that reaching in (k+1) moment three-phase voltage-type inverter electric current to constant current, track with zero error is realized, i.e.,
And in (k+1) moment three-phase voltage-type inverter reference currentWithIt can be by (k) moment, (k-1)
Moment and (k-2) moment reference current can be obtained by linear interpolation theorem:
In order to be realized in next sampling period to realizing track with zero error, three-phase voltage-type inverter output to constant current
Reference voltage is:
In any phase bridge arm of three-phase voltage type inverter circuit, according to different switch combinations, it can obtain following
Two kinds of output states:" P " state and " N " state.By taking a phase bridge arms as an example:(1) " P " state:Switching tube S at this timea1Conducting, switch
Pipe Sa2Shutdown, output terminal a is relative to N point current potentials uaN=Vdc;(2) " N " state:Switching tube Sa1Shutdown, switching tube Sa2Conducting, it is defeated
Outlet a is relative to N point current potentials uaN=0.B, the output state of c phases bridge arm is similar with a phase bridge arms.According to three-phase voltage-type inverter
The switch combination of output, three-phase voltage-type inverter generate 2 in total3=8 voltage vectors, the size of voltage vector and space
Position is as shown in Figure 2.It is assumed that variable Sa, Sb, Sc{ 1,0 } represents the on off state of each phase, wherein " 1 " represents output and busbar
Positive polarity P points are connected, and " 0 " represents output and is connected with busbar voltage cathode N points.The switch shape of three-phase voltage-type inverter output
State Sj=[Sa Sb Sc]T, wherein j=0 ..., 7.Then inverter output voltage voltage under static α β coordinate systems is expressed as:
To realize three-phase voltage-type inverter to constant current is given accurately to track, dead beat Model Predictive Control object function
Selected as:
By formula (11), formula (12) and formula (13) it is found that traditional model prediction needs to swear 8 voltages that inverter exports
Amount carries out prediction model and object function g (k) in line computation and online evaluation, this 8 voltage vector which voltage vectors make
Object function is minimum, this voltage vector will be used in next cycle, realize the optimum control of target.Therefore, it is traditional
Model Predictive Control will carry out the calculating of 8 prediction models and object function, to reduce the meter of prediction model and object function
Number is calculated, it can be according to reference voltageSpatial position, participate in prediction model and object function and exist
The voltage vector of line assessment is for 3 closest to reference voltage vector (2 non-zero vectors and 1 zero vector).Therefore, prediction is participated in
The voltage vector of model and object function online evaluation greatly reduces, and greatly improves the meter of limited on off state Model Predictive Control
Calculate efficiency.The spatial position of reference voltage vector is:
It is assumed that reference voltagePositioned at the Ith sector, then participate in prediction model and object function
Voltage vector be u1(100)、u2(110)、u0(000) (or u7(111)).Zero vector u0(000) and u7(111) target generated
Function is the same, and therefore, participating in prediction model calculating and object function assessment only needs once.It is compared with conventional model prediction, in advance
The calculation times for surveying model are reduced to 3 times by 8 times, greatly reduce calculation amount, improve computational efficiency.To make inverter output electricity
The integral multiple of pressure, current spectrum centralizing switch frequency, it is assumed that reference voltagePositioned at the Ith sector, lead to
Cross formula (13), voltage vector u1Object function be g1, voltage vector u2Object function be g2, voltage vector u0(or u7) mesh
Scalar functions are g0。
Wherein,
Wherein,
Wherein,
According to three voltage vector object function g1、g2And g0Each voltage vector of size linear distribution action time.
One sampling period TsIn, voltage vector u1Action time be t1, voltage vector u2Action time be t2, voltage vector u0
(or u7) action time be t0, then the action time of each vector be:
In order to be further reduced three-phase voltage-type inverter output voltage, current harmonics, it is preferable that each voltage vector effect
Time symmetrical distribution;Meanwhile voltage vector u0And u7It acts on simultaneously, each voltage vector action time is half.Reference voltage vectorAt I sector, the action time of each voltage vector and sequence of operation are as shown in Figure 4.
Other sectors and so on.It is compared with traditional Model Predictive Control, has 1 zero vector and 2 in a PWM cycle
A non-zero vector effect, it is similar with 7 traditional segmentation SVPWM modulation, realize the fixed frequency of inverter output voltage, electric current, so as to
To simplify the design of output filter.It is as shown in Figure 5 that the dead beat of three-phase voltage-type inverter determines frequency Model Predictive Control strategy.
Embodiment 2
Corresponding to embodiment 1, the present embodiment provides a kind of dead beats to determine frequency model predictive control apparatus, as shown in fig. 6, packet
It includes:
First computing unit 1 obtains output reference electricity under k+1 moment three-phase voltage-type inverter α β coordinate systems for calculating
StreamWithValue;
Second computing unit 2, for according to formulaWhen calculating acquisition k
Carve output reference voltage under three-phase voltage-type inverter α β coordinate systemsWithWherein, iα(k) and iβ(k) it is respectively
α, β component of the k moment three-phase voltage-type inverter output currents under α β coordinate systems, R are load resistance, TsFor sampling period, L
For filter inductance value;
Vector determination unit 3 is acted on, for according to reference voltage vectorIt is residing
Two voltage vectors for surrounding sector residing for reference voltage vector are acted on vector by sector,
Vector is acted on using zero vector as third, wherein, it is obtained according to the switch combination that three-phase voltage-type inverter exports by α β planes
The space vector of voltage of sector is marked off, space vector of voltage includes voltage vector and zero vector;
Action time obtaining unit 4, for according to formulaIt calculates
Obtain the action time t of the first effect vector1, second effect vector action time t2With the action time of third effect vector
t0, wherein, g1、g2And g0Respectively first effect vector, the corresponding object function of the second effect vector sum third effect vector
Value, Wherein, uαm(k) and uβm(k) it is respectively the k moment
α, β component of the m effect vectors under α β coordinate systems, m=0,1,2.
Above-mentioned dead beat determines frequency model predictive control apparatus, and reference current is exported by using the k+1 momentWithTo calculate k moment output reference voltagesWithI.e. according to inverter set-point and the deviation of actual value,
The tracking to set-point is realized in next sampling, realizes track with zero error, and inverter output voltage, current spectrum collection
In switching frequency integral multiple, the advantages of so as to combine model prediction and track with zero error, system has quiet, dynamic well
Performance is also beneficial to the design of output filter.And the meter of prediction model and object function is carried out using three effect vectors
It calculates, greatly reduces calculation times, improve computational efficiency.
Preferably, reference current is exportedWithIt is calculated and obtained by linear interpolation theorem, calculation formula is such as
Under:
Wherein,WithPoint
Not Wei k moment, k-1 moment and k-2 moment output reference current.
Preferably, space vector of voltage is the space vector of voltage that α β planes are marked off to six sectors, including voltage vector
unWith zero vector u0、u7, n=1,2 ..., 6;
Wherein, uαnAnd uβnRespectively voltage vector unα, β component under α β coordinate systems, VdcFor DC bus-bar voltage,For transformation matrix,Sa、SbAnd ScA, b and c phase are represented respectively
On off state.
Preferably, it before the first computing unit 1, further includes:
Acquiring unit, for obtaining output electricity of the k moment three-phase voltage-type inverter under three phase static abc coordinate systems
Stream;
Coordinate transformation unit, for α points be converted into the output current under three phase static abc coordinate systems under α β coordinate systems
Measure iα(k) and β components iβ(k)。
Embodiment 3
The present embodiment provides a kind of dead beats to determine frequency model predictive control system, as shown in fig. 7, comprises:Three-phase voltage type
The dead beat of inverter 10 and embodiment 2 determines frequency model predictive control apparatus 20;
The output terminal connection of three-phase voltage-type inverter 10, input terminal and regenerative resource, control terminal and dead beat
Determine the output terminal connection of frequency model predictive control apparatus;
Dead beat determines frequency model predictive control apparatus 20, for generating the first effect arrow of control three-phase voltage-type inverter
The action time t of amount1, second effect vector action time t2With the action time t of third effect vector0。
Above-mentioned dead beat determines frequency model predictive control system, and reference current is exported by using the k+1 momentWithTo calculate k moment output reference voltagesWithI.e. according to the inclined of inverter set-point and actual value
Difference realizes the tracking to set-point in next sampling, realizes track with zero error, and inverter output voltage, electric current frequency
Spectrum concentrates on the integral multiple of switching frequency, the advantages of so as to combine model prediction and track with zero error, system have well it is quiet,
Dynamic property is also beneficial to the design of output filter.And carry out prediction model and object function using three effect vectors
Calculating, greatly reduce calculation times, improve computational efficiency.
Obviously, the above embodiments are merely examples for clarifying the description, and is not intended to limit the embodiments.It is right
For those of ordinary skill in the art, can also make on the basis of the above description it is other it is various forms of variation or
It changes.There is no necessity and possibility to exhaust all the enbodiments.And the obvious variation thus extended out or
Among changing still in the protection domain of the invention.
Claims (9)
1. a kind of dead beat determines frequency model predictive control method, which is characterized in that includes the following steps:
It calculates to obtain and exports reference current under k+1 moment three-phase voltage-type inverter α β coordinate systemsWithValue;
According to formulaIt calculates and obtains k moment three-phase voltage-type inverter α β seats
The lower output reference voltage of mark systemWithWherein, iα(k) and iβ(k) it is respectively k moment three-phase voltage-type inverters
α, β component of the output current under α β coordinate systems, R are load resistance, TsFor the sampling period, L is filter inductance value;
According to reference voltage vectorResiding sector will be surrounded residing for reference voltage vector
Two voltage vectors of sector act on vector as the first effect vector sum second, and vector is acted on using zero vector as third,
In, the switch combination exported according to three-phase voltage-type inverter obtains the space vector of voltage that α β planes are marked off to sector, electricity
Space vector is pressed to include voltage vector and zero vector;
According to formulaCalculate the action time for obtaining the first effect vector
t1, second effect vector action time t2With the action time t of third effect vector0, wherein, g1、g2And g0Respectively first
Vector, the corresponding target function value of the second effect vector sum third effect vector are acted on,Wherein, uαm(k) and uβm(k) it is respectively k moment m
α, β component of the effect vector under α β coordinate systems, m=0,1,2.
2. the according to the method described in claim 1, it is characterized in that, output reference currentWithPass through
Linear interpolation theorem, which calculates, to be obtained, and calculation formula is as follows:
Wherein,With With
AndWithThe respectively output reference current at k moment, k-1 moment and k-2 moment.
3. method according to claim 1 or 2, which is characterized in that α β planes is are marked off by the space vector of voltage
The space vector of voltage of six sectors, including voltage vector unWith zero vector u0、u7, n=1,2 ..., 6;
Wherein, uαnAnd uβnRespectively voltage vector unα, β component under α β coordinate systems, VdcFor DC bus-bar voltage,For transformation matrix,Sa、SbAnd ScA, b and c phase are represented respectively
On off state.
4. according to claim 1-3 any one of them methods, which is characterized in that described calculate obtains k+1 moment three-phase voltages
Reference current is exported under type inverter α β coordinate systemsWithValue the step of before, it is further comprising the steps of:
Obtain output current of the k moment three-phase voltage-type inverter under three phase static abc coordinate systems;
α components i output current under three phase static abc coordinate systems being converted under α β coordinate systemsα(k) and β components iβ(k)。
5. a kind of dead beat determines frequency model predictive control apparatus, which is characterized in that including:
First computing unit exports reference current for calculating to obtain under k+1 moment three-phase voltage-type inverter α β coordinate systems
WithValue;
Second computing unit, for according to formulaIt calculates and obtains k moment three-phases
Output reference voltage under voltage source inverter α β coordinate systemsWithWherein, iα(k) and iβ(k) it is respectively the k moment
α, β component of the three-phase voltage-type inverter output current under α β coordinate systems, R are load resistance, TsFor the sampling period, L is filter
Wave inductance value;
Vector determination unit is acted on, for according to reference voltage vectorResiding sector,
Vector is acted on using two voltage vectors for surrounding sector residing for reference voltage vector as the first effect vector sum second, by null vector
Amount acts on vector as third, wherein, the switch combination exported according to three-phase voltage-type inverter, which obtains, marks off α β planes
The space vector of voltage of sector, space vector of voltage include voltage vector and zero vector;
Action time obtaining unit, for according to formulaIt calculates and obtains the
The action time t of one effect vector1, second effect vector action time t2With the action time t of third effect vector0,
In, g1、g2And g0Respectively first effect vector, the corresponding target function value of the second effect vector sum third effect vector, Wherein, uαm(k) and uβm(k) it is respectively k moment m
α, β component of the effect vector under α β coordinate systems, m=0,1,2.
6. device according to claim 5, which is characterized in that the output reference currentWithPass through
Linear interpolation theorem, which calculates, to be obtained, and calculation formula is as follows:
Wherein,With With
AndWithThe respectively output reference current at k moment, k-1 moment and k-2 moment.
7. device according to claim 5 or 6, which is characterized in that α β planes is are marked off by the space vector of voltage
The space vector of voltage of six sectors, including voltage vector unWith zero vector u0、u7, n=1,2 ..., 6;
Wherein, uαnAnd uβnRespectively voltage vector unα, β component under α β coordinate systems, VdcFor DC bus-bar voltage,For transformation matrix,Sa、SbAnd ScA, b and c phase are represented respectively
On off state.
8. according to claim 5-7 any one of them devices, which is characterized in that before first computing unit, further include:
Acquiring unit, for obtaining output current of the k moment three-phase voltage-type inverter under three phase static abc coordinate systems;
Coordinate transformation unit, for the output current under three phase static abc coordinate systems to be converted into the α components i under α β coordinate systemsα
(k) and β component i β (k).
9. a kind of dead beat determines frequency model predictive control system, which is characterized in that including:Three-phase voltage-type inverter and such as right
It is required that 5-8 any one of them dead beats determine frequency model predictive control apparatus;
The output terminal connection of three-phase voltage-type inverter, input terminal and regenerative resource, control terminal determine frequency mould with dead beat
The output terminal connection of type prediction control device;
Dead beat determines frequency model predictive control apparatus, for generating the work of the first effect vector of control three-phase voltage-type inverter
With time t1, second effect vector action time t2With the action time t of third effect vector0。
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