CN106787845B - A kind of Pulse rectifier low switching frequency model prediction power control algorithm - Google Patents
A kind of Pulse rectifier low switching frequency model prediction power control algorithm Download PDFInfo
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- CN106787845B CN106787845B CN201611125974.8A CN201611125974A CN106787845B CN 106787845 B CN106787845 B CN 106787845B CN 201611125974 A CN201611125974 A CN 201611125974A CN 106787845 B CN106787845 B CN 106787845B
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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
- H02M7/02—Conversion of ac power input into dc power output without possibility of reversal
- H02M7/04—Conversion of ac power input into dc power output without possibility of reversal by static converters
- H02M7/12—Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/21—Conversion of ac power input into dc 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
- H02M7/217—Conversion of ac power input into dc 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
Abstract
The invention discloses a kind of Pulse rectifier low switching frequency model prediction power control algorithms, under low switching frequency, the power prediction value of active power and reactive power is calculated by model prediction power algorithm, and then it calculates so that component of the smallest optimum control amount of evaluation function under rotating coordinate system, it is acquired again by voltage-second balance backoff algorithm by weber compensated modulating wave, pulsewidth modulation strategy generating switch control signal is finally combined, the control of Pulse rectifier is completed.The present invention improves the control precision of Pulse rectifier model prediction power control algorithm, without Calculation Estimation function repeatedly, reduces the complexity of algorithm, improves control and sample frequency, has good dynamic and steady-state performance；Algorithm flexibility ratio is high, and different modulation strategy and control algolithm can be used and cooperate, meet the needs of different application.
Description
Technical field
The present invention relates to single-phase PWM converter control system technical fields in power electronics and power drives field, specifically
For a kind of Pulse rectifier low switching frequency model prediction power control algorithm.
Background technique
Pulse rectifier has energy capable of bidirectional flowing, and voltage on line side, electric current keep unity power factor, DC side
The advantages that voltage is constant, so it is widely used in high-power rail traction transmission system, ups power etc..Currently, single-phase rectifier
Device control algolithm mainly includes current indirect control, hysteretic loop current control, transient current testing and dq shaft current decoupling control.
Direct Power Control algorithm in order to improve the control precision and dynamic property of rectifier, suitable for three-phase rectifier
Based on instantaneous power theory, active power and reactive power are directly controlled, pulse rectifier is made to reach net side unit power
The performance indicators such as factor, DC voltage be constant.Traditional direct Power Control algorithm using stagnant ring switch list control it is active and
Reactive power, fast response time, but its switching frequency is not fixed, harmonic wave is widely distributed, is unfavorable for the design of net side filter, so
The algorithm is seldom used in real system；In this regard, the power control algorithm based on model prediction is proposed, the pre- measurement of power of conventional model
Rate control algolithm passes through calculates evaluation function corresponding with each switch state is compared repeatedly, selects suitable switch state,
And then the gate pole for generating rectifier controls signal；However the switching frequency of conventional model PREDICTIVE CONTROL is uncertain, harmonic wave distribution is wide
It is general, constrain its application in practical projects.
To solve the problems, such as that model prediction direct Power Control switching frequency is unfixed, there is scholar to propose that two vector models are pre-
Survey direct Power Control, by optimize duty ratio method realize fixed-frequency control, however the algorithm there is still a need for repeatedly calculate and
Compare the evaluation function size under different switch states, therefore increase the calculation amount of algorithm, to overcome Model Predictive Control meter
Big disadvantage is measured in calculation, and related scholar proposes the model prediction power control strategy based on optimal modulation wave, in conjunction with pulse width tune
It makes (PWM), frequency Model Predictive Control is determined in realization.Although the algorithm can be realized the Model Predictive Control of fixed switching frequency, so
And the Model Predictive Control under low switching frequency still cannot achieve, control precision will dislike rapidly with the reduction of switching frequency
Change.
Summary of the invention
In view of the above-mentioned problems, it is an object of the invention to propose a kind of low switching frequency model prediction power control algorithm,
The algorithm Calculation Estimation function directly need not calculate optimal modulation function, pass through voltage-second balance using model prediction thought repeatedly
Backoff algorithm to caused by low switching frequency weber energy imbalance compensate, and then realize that high-precision model prediction is direct
Power control, while reducing the complexity of control algolithm.Technical solution is as follows:
A kind of Pulse rectifier low switching frequency model prediction power control algorithm comprising the steps of:
Step 1: estimate active power and reactive power in the instantaneous value of next duty ratio update cycle by formula (1):
Wherein, TsFor switch periods, n indicates half switch periods (Ts/ 2) number, ω are network voltage angular frequency, uabdWith
uabqRespectively indicate d axis component and q axis component of the rectifier input voltage under d-q synchronous rotating frame；umIndicate net side electricity
Pressure amplitude value, L are net side inductance value；A1And A2For initial parameter, by n-th half switch period start time active-power Ps and idle
The instantaneous value of power Q determines, is expressed as
Wherein, TcIndicate the control period, k indicates the control periodicity closest to n-th of half switch periods；
Step 2: defining evaluation function J are as follows:
J={ Pref[(n+1)Ts/2]-P[(n+1)Ts/2]}2+{Qref[(n+1)Ts/2]-Q[(n+1)Ts/2]}2 (3)
Wherein, Pref[(n+1)Ts/ 2] and Qref[(n+1)Ts/ 2] reference respectively in (n+1)th half switch periods has
The given value of function and reactive power；P[(n+1)Ts/ 2] and Q [(n+1) TsIt/2] is the wattful power in (n+1)th half switch periods
The predicted value of rate and reactive power, these power prediction values are solved by formula (1) and are obtained；
Step 3: to make evaluation function J minimum, then uabdAnd ubaqMeet formula (4):
Formula (1) and formula (3) are substituted into formula (4), obtained so that the smallest optimum control amount u of evaluation functionabαIn rotational coordinates
Component u under systemabdWith uabqCalculating formula are as follows:
Wherein: uabd(nTs/ 2) and uabq(nTs/ 2) indicate lower half of switch periods internal modulation wave in synchronous rotating frame
(d-q) used optimum control component under；TcThe control period is represented, close to n-th of half switch periods；
Step 4: by rotating coordinate transformation, by optimal control amount uabdAnd uabqUnder convert to static coordinate system (alpha-beta)
α axis component, by such as formula (6) realize low switching frequency under voltage-second balance compensate:
Wherein, uabα *To pass through the compensated modulating wave of voltage-second balance；
Step 5: modulating wave being modulated, by uabα *Optimum control pulse pair rectifier is converted to be controlled.
The beneficial effects of the present invention are: algorithm of the invention may operate at low switching frequency occasion, thought using model prediction
Think, realize the direct Power Control of traction rectifier device, improves Pulse rectifier model prediction power control algorithm
Control precision；Without Calculation Estimation function repeatedly, the complexity of algorithm is reduced, control and sample frequency are improved, had good
Good dynamic and steady-state performance；Algorithm flexibility ratio is high, and different modulation strategy and control algolithm can be used and cooperate, meet difference and answer
With the demand of occasion.
Detailed description of the invention
Fig. 1 is that single phase model predicts direct Power Control system function division block diagram.
Fig. 2 is single-phase phase-locked loop system.
Fig. 3 is that single-phase instantaneous power estimates block diagram.
Specific embodiment
Technical solution of the present invention and technical effect are done further specifically in the following with reference to the drawings and specific embodiments.
Fig. 1 shows single-phase no phase-locked loop direct Power Control system function division block diagram, and whole system can be divided into optimal
Control amount calculates, weber compensation and rotating coordinate transformation, pulsewidth modulation strategy, voltage on line side current acquisition, single-phase phase-locked loop, wink
When seven power calculation, voltage PI outer loop control parts.The wherein particular content of major part are as follows:
(1) optimum control amount calculates: by Model Predictive Control thought, seeking optimal solution to power estimation function, passes through
Enabling evaluation function is zero to the local derviation of control amount, calculates optimum control amount.
(2) voltage-second balance compensation and rotating coordinate transformation: by voltage-second balance calculation formula, to traditional rotating coordinate transformation
It compensates, realizes the weber compensation under low switching frequency, mention high control precision.
(3) pulse width is modulated: modulating wave is modulated, different pulse train is generated based on voltage-second balance principle,
Driving switch pipe is allowed to be switched on or off according to specified rule.
(4) single-phase phase-locked loop: by second order improper integral algorithm, network pressure orthogonal coordinates component is generated, and then is realized single-phase
System phase-lock-loop algorithm obtains voltage on line side phase and amplitude information, while network pressure quadrature component will be used for single-phase instantaneous function
Instantaneous power is calculated in rate algorithm for estimating.
(5) instantaneous power calculates: the voltage on line side orthogonal vectors and rotational coordinates obtained by single-phase phase-locked loop module
The orthogonal modulation wave vector that conversion module obtains calculates current on line side quadrature component, and single-phase according to instantaneous power theory calculating
The instantaneous power of system.
Under low switching frequency, by model prediction power algorithm and voltage-second balance backoff algorithm, in conjunction with pulsewidth modulation plan
Switch control signal is slightly generated, the control of Pulse rectifier is completed, comprising the following steps:
Step 1: estimating active power and reactive power in next duty by high-precision power prediction algorithm shown in formula (1)
Than the instantaneous value of update cycle.
Wherein: TsFor switch periods, n indicates half switch periods (Ts/ 2) number, ω are network voltage angular frequency, uabdWith
uabqRespectively indicate d axis component and q axis component of the rectifier input voltage under rotating coordinate system.umIndicate voltage on line side amplitude,
L is net side inductance value.A1And A2For initial parameter, by switching period start time active-power Ps and reactive power Q for n-th half
Instantaneous value determines, is represented by
Wherein, TcIndicate the control period, k indicates the control number of cycles closest to n-th of half switch periods.
Step 2: for the comprehensive performance for measuring control algolithm, defining evaluation function J is
J={ Pref[(n+1)Ts/2]-P[(n+1)Ts/2]}2+{Qref[(n+1)Ts/2]-Q[(n+1)Ts/2]}2 (3)
Wherein Pref[(n+1)Ts/ 2] and Qref[(n+1)Ts/ 2] reference respectively in (n+1)th half switch periods has
The given value of function and reactive power, the value are approximately equal with current value.P[(n+1)Ts/ 2] and Q [(n+1) Ts/ 2] for (n+1)th
The predicted value of active power and reactive power in a half switch periods can pass through high-precision power prediction algorithm shown in formula (1)
It can be in the hope of.
Step 3: to make evaluation function minimum, used uabdAnd ubaqIt should meet:
In turn, formula (1) and formula (3) are substituted into formula (4), obtained so that the smallest optimum control amount u of evaluation functionabαIt is revolving
Turn the component u under coordinate systemabdWith uabqCalculating formula are as follows:
Wherein: uabd(nTs/ 2) and uabq(nTs/ 2) indicate lower half of switch periods internal modulation wave in synchronous rotating frame
(d-q) used optimum control component under；TcThe control period is represented, k indicates the kth secondary control period, close to n-th half
Switch periods；Network pressure angular frequency is estimated to obtain by software phase-lock loop.
Step 4: by rotating coordinate transformation, by optimal control amount uabdAnd uabqUnder convert to static coordinate system (alpha-beta)
α axis component realize the voltage-second balance of pulsewidth modulation under low switching frequency by the weber compensation policy as shown in formula (6).
Wherein, uabα *To pass through weber compensated modulating wave.
Step 5: by pulsewidth modulation strategy, generate different pulse train based on voltage-second balance principle, driving switch pipe,
It is allowed to be switched on or off according to specified rule, by uabα *Optimum control pulse pair rectifier is converted to be controlled.
Application example:
Fig. 2 gives single-phase phase-locked loop system schematic.Voltage on line side vector is counted by second order improper integral (SOGI)
Quadrature voltage component is calculated, the off line amount of pressing to of orthogonal rest frame is then calculated into network pressure component to by rotating coordinate transformation
Q axis component at synchronous rotating frame (d-q) controls it as zero by pi controller, completes network pressure locking phase
Function, while realizing seeking for network pressure virtual orthographic component.
Fig. 3 is shown, instantaneous power computing block diagram.By the modulation after voltage on line side quadrature component and rotating coordinate transformation
Wave quadrature component completes instantaneous function by instantaneous power algorithm for estimating as the input quantity that imaginary axis feedback instantaneous power calculates
Rate estimation.
Claims (1)
1. a kind of Pulse rectifier low switching frequency model prediction power control algorithm, which is characterized in that include following step
It is rapid:
Step 1: estimate active power and reactive power in the instantaneous value of next duty ratio update cycle by formula (1):
Wherein, TsFor switch periods, n indicates half switch periods (Ts/ 2) number, ω are network voltage angular frequency, uabdAnd uabq
Respectively indicate d axis component and q axis component of the rectifier input voltage under d-q synchronous rotating frame；umIndicate voltage on line side
Amplitude, L are net side inductance value；A1And A2For initial parameter, by n-th half switch period start time active-power Ps and idle function
The instantaneous value of rate Q determines, is expressed as
Wherein, TcIndicate the control period, k indicates the control periodicity closest to n-th of half switch periods；
Step 2: defining evaluation function J are as follows:
J={ Pref[(n+1)Ts/2]-P[(n+1)Ts/2]}2+{Qref[(n+1)Ts/2]-Q[(n+1)Ts/2]}2 (3)
Wherein, Pref[(n+1)Ts/ 2] and Qref[(n+1)Ts/ 2] be respectively reference in (n+1)th half switch periods it is active and
The given value of reactive power；P[(n+1)Ts/ 2] and Q [(n+1) Ts/ 2] in (n+1)th half switch periods active power and
The predicted value of reactive power, these power prediction values are solved by formula (1) and are obtained；
Step 3: to make evaluation function J minimum, then uabdAnd uab qMeet formula (4):
Formula (1) and formula (3) are substituted into formula (4), obtained so that the smallest optimum control amount u of evaluation function JabαIn rotating coordinate system
Under component uabdWith uabqCalculating formula are as follows:
Wherein: uabd(nTs/ 2) and uabq(nTs/ 2) indicate lower half of switch periods internal modulation wave under dq synchronous rotating frame
Used optimum control component；TcThe control period is represented, close to n-th of half switch periods；
Step 4: by rotating coordinate transformation, by optimal control amount uabdAnd uabqBe converted to the α axis point under α β rest frame
Amount realizes that the voltage-second balance under low switching frequency compensates by such as formula (6):
Wherein, uabα *To pass through the compensated modulating wave of voltage-second balance；
Step 5: modulating wave being modulated, by uabα *Optimum control pulse pair rectifier is converted to be controlled.
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| CN107565837A (en) * | 2017-07-31 | 2018-01-09 | 江苏大学 | A kind of more cost function frequency reducing model prediction direct Power Control methods |
| CN107769594B (en) * | 2017-11-07 | 2019-08-13 | 西南交通大学 | A kind of optimization method of Pulse rectifier current inner loop controller |
| CN109742963B (en) * | 2018-12-12 | 2020-10-23 | 西南交通大学 | Single-phase pulse rectifier power grid voltage estimation method |
| CN109756134B (en) * | 2019-01-16 | 2020-12-11 | 北方工业大学 | Model prediction power control method based on virtual flux linkage |
| CN110190764B (en) * | 2019-05-20 | 2021-01-19 | 华南理工大学 | Model prediction control method for secondary ripple suppression circuit of single-phase PWM rectifier |
| CN110020510B (en) * | 2019-06-06 | 2019-09-10 | 西南交通大学 | A kind of method for analyzing stability of the EMU net side Pulse rectifier based on Floquet theory |
| CN110244567B (en) * | 2019-07-04 | 2021-09-24 | 武汉大学 | Rapid model prediction control method based on extended instantaneous reactive power theory |
| CN110676860B (en) * | 2019-09-04 | 2021-07-20 | 武汉大学 | Fast prediction unbalance control method based on extended instantaneous active theory |
| CN110557037B (en) * | 2019-09-11 | 2021-03-23 | 广西电网有限责任公司电力科学研究院 | Direct current control method of single-phase PWM rectifier |
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