CN109085765A - Three level active power filter rapid model prediction control method of neutral-point-clamped formula - Google Patents
Three level active power filter rapid model prediction control method of neutral-point-clamped formula Download PDFInfo
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Abstract
The invention discloses a kind of three level active power filter rapid model prediction control methods of neutral-point-clamped formula, establish three level active power filter stray currents models, thus find out predicted current and the corresponding cost function of expectation electric current；Cost function is set, optimal current expected value is obtained；By optimal current expected value and Active Power Filter-APF current forecasting model, the instantaneous per unit value of the three-phase reference voltage for controlling three level active power filter output voltages is determined；According to instantaneous per unit value symbol, sector position where exporting optimized voltage space vector is judged, to calculate the action time of three-phase virtual voltage space vector；It determines the respective on off sequence of three-phase pulse, according to the action time of three-phase virtual voltage space vector, the pulse train of final output is carried out reconfiguring sequence.The present invention is obtained with optimal dispersion vector without traversing all dispersion vectors of poll, in conjunction with SVPWM algorithm, can directly calculate three-phase action time.
Description
Technical field
The present invention relates to a kind of control methods, and in particular to a kind of three level active power filter of neutral-point-clamped formula is quick
Model predictive control method.
Background technique
With the rapid development of our country's economy with the increasingly raising of living standards of the people, requirement of the people for power quality
Higher and higher, the harmonic pollution problems of low-voltage network are also of increasing concern.Active Power Filter-APF (Active Power
Filter, APF) it is used as a kind of high performance harmonic treating apparatus, it can quickly and efficiently inhibit harmonic wave and purification power grid, be
The safe operation of electric system and the raising of residential electricity consumption quality provide strong guarantee.
Neutral point clamp type (Neutral-Point Clamped, NPC) three level APF are because its output current ripple is small, straight
It is of increasing concern to flow the features such as busbar voltage utilization rate is high, equivalent switching frequency is high.Current Control Technology is the key that APF again
One of technology determines the compensation ability and compensation precision of APF.Currently, the Current Control Strategy of linear control system is mainly wrapped
It includes: proportional integration (Proportional-Integral, PI) control, ratio resonance (Proportional-Resonant, PR)
Control, track with zero error and Repetitive controller etc..For the tracer request of harmonic reference current instruction, bandwidth is substantially needed
Sufficiently large closed-loop control system.Therefore the controller of tracking harmonic reference current should theoretically have sufficiently large bandwidth
It is able to achieve the tracking effect of floating.PI controller bandwidth is limited, so effect is bad when tracking high-frequency harmonic electric current.It is limited
Domination set Model Predictive Control (FCS-MPC) is also a kind of Prediction and Control Technology occurred along with the development of digital technology.Its
The characteristics of using converter finite discrete switch state, traversal calculate all dispersion vectors, can wherein be made by selection pre-
If the smallest vector of cost function there is good dynamic property to realize control target.But for three level translations
For device, each optimizing needs to be traversed for 27 discrete switch states, and the real-time and calculating speed to processor require very high.And
And switching frequency is not fixed, so that the design of output filter increases difficulty, therefore is difficult to obtain practical engineering application.
Summary of the invention
In view of the above existing problems in the prior art, the present invention provides a kind of filtering of three level active power of neutral-point-clamped formula
Device rapid model prediction control method, can solve the above-mentioned problems of the prior art.
To achieve the goals above, the technical solution adopted by the present invention is that: a kind of three level active power of neutral-point-clamped formula
Filter rapid model prediction control method, comprising the following steps:
A. three level active power filter stray currents models are established, and according to this model, find out predicted current and phase
Hope the corresponding cost function of electric current；
B. without being polled calculating to all switch states, by the way that cost function is arranged, optimal electric current expectation is obtained
Value；
C. by optimal current expected value and Active Power Filter-APF current forecasting model, determining has for controlling three level
The instantaneous per unit value of the three-phase reference voltage of active power filter output voltage；
D. according to the instantaneous per unit value symbol of three-phase reference voltage, judge sector position where exporting optimized voltage space vector
It sets, to calculate the action time of three-phase virtual voltage space vector；
E. the respective on off sequence of three-phase pulse is determined, according to the action time t of three-phase virtual voltage space vectora, tb,
tc, the pulse train of final output is carried out reconfiguring sequence.
In traditional FCS-MPC method, makes the smallest vector of preset cost function to obtain, need to be traversed for calculating
All dispersion vectors need to expend a large amount of processor operation time, so that processor computational burden is extremely heavy, and switching frequency
It is not fixed；The present invention is obtained with optimal dispersion vector without traversing all dispersion vectors of poll compared with prior art,
In conjunction with SVPWM algorithm, so that it may directly calculate three-phase action time, and switching frequency is fixed, pass through optimal setting valence
Value function, can quick, floating tracking harmonic reference current instruction.It also achieves simultaneously for mid-point potential offset
Effective inhibition, reach multiobjective optimal control.
Detailed description of the invention
Fig. 1 three level virtual space vector of voltage figures of the present invention.
Specific embodiment
The present invention will be further explained below with reference to the attached drawings.
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
The continuous mathematical model of three level active power filter of neutral-point-clamped formula APF under abc three-phase static coordinate system
Are as follows:
In formula, L is APF three-phase output inductor；R is exchange side three-phase equivalent resistance；ia,ib,icIt is defeated for APF three-phase
Electric current is compensated out；ea,eb,ecFor power grid three-phase voltage；uaN,ubN,ucNFor the voltage between APF output end and neutral point of electric network.
Using it is preceding to Euler method by 1 discretization of formula, then can approximation obtain:
In formula, TsFor the sampling period.
2 abbreviation of formula can be obtained into Active Power Filter-APF discretization current model are as follows:
Value function g fix the price as the performance indicator for judging Active Power Filter-APF tracking harmonic reference current；Defining g is three
Mutually output the sum of electric current and the inclined absolute value of the difference of reference current, as shown in Equation 4:
In formula 4, ia *(k+1), ib *(k+1), ic *It (k+1) is respectively to predict that harmonic reference current instructs the k+1 moment；ia(k+
1), ib(k+1), icIt (k+1) is respectively k+1 moment three-phase output compensation electric current.
In order to realize the accurate tracking of electric current, on the basis of not considering system delay, cost function g=0 is enabled, even if k+
1 bat current-order is equal with k+1 bat output electric current, to reach fast and accurately tracking effect, can obtain:
Enable ux(k)=u* x_ref(k) (x=a, b, c) substitutes into formula 5 in formula 3, and available k claps three-phase optimal objective ginseng
Examine voltage vector are as follows:
The k calculated according to formula 6 claps three-phase optimal objective reference voltage vector, can combine with SVPWM algorithm, can be with
Calculate three-phase action time ta, tb, tc；
Three level virtual space vector of voltage figures are as shown in Figure 1.In order to determine the respective on off sequence of three-phase pulse, according to
The action time t of three-phase virtual voltage space vectora, tb, tc, reconfigure sequence to the pulse train of final output, three
Level virtual space vector of voltage figure is as shown in Figure 1.It is virtually electric according to three-phase in order to determine the respective on off sequence of three-phase pulse
Press the action time t of space vectora, tb, tc, the pulse train of final output is carried out reconfiguring sequence.
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case where without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by appended power
Benefit requires rather than above description limits, it is intended that all by what is fallen within the meaning and scope of the equivalent elements of the claims
Variation is included within the present invention.Any reference signs in the claims should not be construed as limiting the involved claims.
The above, only presently preferred embodiments of the present invention, are not intended to limit the invention, all skills according to the present invention
Art any trickle amendment, equivalent replacement and improvement substantially to the above embodiments, should be included in technical solution of the present invention
Protection scope within.
Claims (1)
1. a kind of three level active power filter rapid model prediction control method of neutral-point-clamped formula, which is characterized in that including
Following steps:
A. three level active power filter stray currents models are established, and according to this model, find out predicted current and expectation electricity
Flow corresponding cost function；
B., cost function is set, optimal current expected value is obtained；
C. it by optimal current expected value and Active Power Filter-APF current forecasting model, determines for controlling three level actives electricity
The instantaneous per unit value of the three-phase reference voltage of force filter output voltage；
D. according to the instantaneous per unit value symbol of three-phase reference voltage, judge sector position where exporting optimized voltage space vector,
To calculate the action time of three-phase virtual voltage space vector；
E. the respective on off sequence of three-phase pulse is determined, according to the action time t of three-phase virtual voltage space vectora, tb, tc, right
The pulse train of final output carries out reconfiguring sequence.
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Cited By (3)
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| CN109904862A (en) * | 2019-03-28 | 2019-06-18 | 济南大学 | APF control method, system and application based on output tracking |
| CN110212801A (en) * | 2019-07-04 | 2019-09-06 | 烟台大学 | A kind of ANPC three-level inverter and its model predictive control method |
| CN113067336A (en) * | 2021-05-18 | 2021-07-02 | 哈尔滨理工大学 | Three-level active filter based on model predictive control |
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