CN108039820B - Model prediction single-phase-shift control method of double-active full-bridge DC-DC converter - Google Patents
Model prediction single-phase-shift control method of double-active full-bridge DC-DC converter 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
- 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
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Abstract
The invention discloses a model prediction single phase shift control method of a double-active full-bridge DC-DC converter, which comprises the steps of constructing a state differential equation of output voltage of the double-active full-bridge DC-DC converter according to a state space average model of the output voltage of the converter; discretizing the differential term of the output voltage in the differential equation, and calculating to obtain the predicted output voltage of the converter in the next control period; constructing an objective evaluation function from a difference between a predicted output voltage and a reference output voltage of a converterJFor the objective evaluation functionJDerivation is carried out to obtain the optimized phase shift amount under the model predictive control of the double-active full-bridge DC-DC converterD opt. The invention effectively solves the problem that the dynamic response of the down converter of the existing control algorithm is slow when the load resistance, the input voltage and the reference voltage suddenly change, and the control algorithm has simple structure, easy digitization, good fault tolerance and strong practicability.
Description
Technical Field
The invention relates to the technical field of power electronics, in particular to a model prediction single-phase-shift control method of a double-active full-bridge DC-DC converter.
Background
The traditional industrial frequency transformer has the outstanding advantages of high efficiency, strong reliability, low price and the like, but the environmental problems caused by insulating oil and the defects of large volume, large mass, difficult maintenance and the like are increasingly outstanding. With the development of semiconductor technology and the perfection of control theory and the requirements for environmental protection and energy conservation, the replacement of the traditional power frequency transformer by the power electronic transformer gradually becomes the development trend of future power systems.
The power electronic transformer has the functions of electrical isolation, voltage conversion and the like, and also has the functions of small volume, light weight, small environmental pollution, reactive compensation, harmonic suppression, power grid interconnection and the like. The intermediate frequency DC-DC conversion circuit is used as the core of a power electronic transformer and is the key for realizing the bidirectional energy transfer. Among many bidirectional DC-DC converters, the isolated full-bridge DC-DC converter is the first choice for the intermediate frequency DC-DC conversion circuit due to its outstanding advantages of high power density, bidirectional energy flow, easy module cascade, etc.
The common control method of the double-active full-bridge DC-DC converter mainly comprises PWM control and phase shift control. Among them, the phase shift control is widely used because it has advantages of a simple control method and a rapid response. Most conventional single phase shift control controls the converter by sampling the output voltage of the converter and deriving the amount of phase shift by a proportional-integral (PI) controller. Although the control algorithm has a simple structure, the dynamic response is slow due to the use of integral control, and the rapid dynamic response cannot be realized for extreme conditions such as load, reference voltage and sudden input voltage change.
Disclosure of Invention
In view of the above problems, an object of the present invention is to provide a model-predictive single-phase-shift control method for a dual-active full-bridge DC-DC converter, so as to solve the problem that the conventional control method cannot achieve fast dynamic response under extreme conditions such as load, reference voltage, and sudden input voltage change. The technical scheme is as follows:
the model prediction single phase shift control method of the double-active full-bridge DC-DC converter comprises the following steps:
s1: constructing a state equation of the output voltage according to a state space average model of the output voltage of the double-active full-bridge DC-DC converter;
wherein the content of the first and second substances,<uo>is the average value of the output voltage of the converter in a control period, R is the load resistance, C2N is the transformation ratio of the transformer, D is the phase shift control quantity in the converter, and L is the output side capacitancetTo assist the inductance, fsTo the switching frequency, uinIs the input voltage of the converter;
s2: deducing a state differential equation of the output voltage according to a state space average model of the output voltage of the dual-active full-bridge DC-DC converter, carrying out discretization processing on a differential term in the differential equation, and calculating to obtain a predicted value of the output voltage of the dual-active full-bridge DC-DC converter:
wherein u iso(k) For sampling the output voltage of the converter at time k, uo(k +1) is a predicted value of the output voltage of the converter at the time of k + 1;
s3: constructing a target evaluation function J by using the square of the difference between the output voltage predicted value and the reference value of the double-active full-bridge DC-DC converter;
wherein, U* o(k) The reference value of the output voltage of the double-active full-bridge DC-DC converter at the moment k;
s4: obtaining the optimized phase shift D of the double-active full-bridge DC-DC converter under a model predictive control strategy by differentiating the target evaluation function Jopt：
Wherein, Δ uo(k) The time k is an output value of the output voltage of the double-active full-bridge DC-DC converter after passing through the outer ring proportional-integral controller; i.e. i0(k) For sampling the output current of the converter at time k, uin(k) The sampled value of the converter input voltage at time k.
Further, the method for constructing the state space average model of the output voltage of the dual-active full-bridge DC-DC converter comprises the following steps: dividing the working state of the converter in one control period into four stages, and respectively establishing state equations of output voltage and inductive current; and combining the state equations of the output voltage and the inductive current of the four stages to construct a state space average model for describing the output voltage in the whole control period.
Furthermore, the method for obtaining the predicted value of the output voltage of the converter comprises the following steps:
performing discrete processing on the state differential equation of the output voltage:
wherein, tkAnd tk+1Respectively a kth control period and a (k +1) th control period; t issIs a switching cycle;
and then according to the equation after the discrete processing, calculating to obtain a predicted value of the output voltage of the double-active full-bridge DC-DC converter.
Furthermore, an optimized phase shift quantity D of the double-active full-bridge DC-DC converter under a model prediction control strategy is obtainedoptThe method comprises the following steps:
the objective evaluation function J is derived, the phase shift quantity obtained after derivation is compensated, and then the optimized phase shift quantity D of the double-active full-bridge DC-DC converter under model prediction control is obtained through calculationopt
Wherein a is an intermediate variable, and
the invention has the beneficial effects that:
1) according to a state space average model of output voltage of the double-active full-bridge DC-DC converter, output voltage in the next control period is predicted, a target evaluation function is constructed according to the difference between the predicted output voltage and reference output voltage, derivation is carried out on the target evaluation function to enable the derivative of the target evaluation function to be zero, the predicted phase shift quantity is compensated by integrating the influences of factors such as tube voltage drop, dead time and control delay of a switching tube, and the optimized phase shift quantity D of the double-active full-bridge DC-DC converter under model prediction control is obtainedopt。
2) The invention carries out discretization processing on the space average model of the output voltage state to predict the nextControlling the output voltage of the cycle and controlling the quantity D by phase-shiftingoptThe method has the advantages that the output voltage is predictively controlled, the problem that the dynamic response of the existing control algorithm down-converter is slow when the load resistance, the input voltage and the reference voltage suddenly change is effectively solved, and the control algorithm is simple in structure, easy to digitize, good in fault tolerance and high in practicability.
Drawings
Fig. 1 is a topology structure diagram of a dual active full bridge DC-DC converter.
Fig. 2 is a schematic diagram of waveforms of voltage and inductor current at two sides of a transformer of a dual-active full-bridge DC-DC converter under single-phase shift control.
FIG. 3 is a control block diagram of a model prediction single-phase-shift control algorithm of a dual-active full-bridge DC-DC converter.
Fig. 4 is a voltage-current waveform diagram of a dual-active full-bridge DC-DC converter at the time of starting under the conventional single-phase shift control.
Fig. 5 is a voltage and current waveform diagram of a dual-active full-bridge DC-DC converter at the time of starting under a model prediction single-phase-shift control algorithm.
Fig. 6 is a voltage and current waveform diagram of a double-active full-bridge DC-DC converter under the traditional single-phase-shift control when the load suddenly changes.
Fig. 7 is a voltage and current waveform diagram of the dual-active full-bridge DC-DC converter under the model prediction single-phase shift control algorithm when the load suddenly changes.
Fig. 8 is a voltage-current waveform diagram of a double-active full-bridge DC-DC converter under the conventional single-phase shift control when the input voltage suddenly changes.
Fig. 9 is a voltage and current waveform diagram of a double-active full-bridge DC-DC converter when an input voltage suddenly changes under a model prediction single-phase-shift control algorithm.
Fig. 10 is a voltage-current waveform diagram of a double-active full-bridge DC-DC converter under the conventional single-phase shift control when the output voltage reference value suddenly changes.
Fig. 11 is a voltage and current waveform diagram of a double-active full-bridge DC-DC converter when an output voltage reference value suddenly changes under a model prediction single-phase shift control algorithm.
Detailed Description
The invention is described in further detail below with reference to the figures and specific embodiments. In this embodiment, a state space average model of the output voltage of the converter is established according to the topology structure diagram of the dual-active full-bridge DC-DC converter shown in fig. 1, and is used for predicting the output voltage of the converter in the next control cycle.
Firstly, constructing a state space average model of the output voltage of the dual-active full-bridge DC-DC converter: dividing the working state of the converter in a control period into four stages, respectively establishing state equations of output voltage and inductive current, wherein a voltage and current oscillogram of the single-phase shift control down converter is shown in fig. 2, the working state of the converter in a control period is divided into four stages, and the state equations of the output voltage and the inductive current in the four stages are respectively:
where D is the phase shift control amount in the dual-active full-bridge DC-DC converter, iLIs an inductor current, R is a load resistance, uoTo output a voltage, LtAs an auxiliary inductor, C2For the output capacitance, n is the transformer transformation ratio, uinFor input voltage, TsIs a switching cycle.
Wherein the inductive current iLThe average value in a control period is zero, so that a state space average model of the control period is omitted, and the state space average model of the output voltage is obtained by calculation by combining the state equations of the output voltage and the inductive current in four stages:
wherein f issIn order to be able to switch the frequency,<uo>the average value of the output voltage of the double-active full-bridge DC-DC converter in one control period is obtained.
Then, a state differential equation of the output voltage is extracted, and a functional relation between the predicted output voltage and the sampled output voltage is derived and obtained. Discretizing a state space average model of the output voltage of the full-bridge isolation DC-DC converter:
extracting a predicted value of the output voltage to obtain a relation function between the predicted value of the output voltage and a sampling value:
wherein u iso(k) For sampling the output voltage of the converter at time k, uoAnd (k +1) is the predicted value of the output voltage of the converter at the moment of k + 1.
An objective evaluation function J is established as the square of the difference between the predicted value of the output voltage and the reference value,
the control objective of this embodiment is to always minimize the objective function, i.e. the difference between the output voltage and the preset reference value of the output voltage, derive the objective function and make the derivative thereof zero, and calculate the optimized phase shift Dopt：
Wherein the content of the first and second substances,
in combination with the influence of factors such as the voltage drop of a switching tube, dead time, control delay and the like in practical application, the model and the practical model may have deviation, so that the output voltage of the isolated bidirectional full-bridge DC-DC converter is inaccurate, phase shift compensation is added into a target evaluation function, and the control phase shift quantity D of the prediction model of the isolated bidirectional full-bridge DC-DC converter is obtainedopt：
Wherein, Δ uo(k) And the time k is the output value of the output voltage of the converter after passing through a proportional-integral (PI) controller.
Referring to fig. 3, according to the state space average model of the full-bridge isolated DC-DC converter, the output voltage in the next control cycle is predicted, an evaluation function J of the output voltage is established, the evaluation function is derived to make the derivative thereof zero, and phase shift compensation is performed to obtain an optimized phase shift D under the model predictive control algorithmopt。
Referring to fig. 4 and 5, it can be seen that when the converter starts up, 338ms is required for the output voltage to reach steady state under the conventional single phase shift control algorithm. In the model prediction single-phase shift control method, the output voltage quickly reaches the reference voltage without overshoot, only 39ms is needed, and the method is far smaller than and superior to the traditional phase shift control.
Referring to fig. 6 and 7, when the load resistance of the converter suddenly changes, it takes 246ms for the output voltage to reach the steady state under the conventional single-phase shift control algorithm, while under the model-predictive single-phase shift control method of the present invention, the output voltage and current are always kept constant, and the dynamic response is rapid.
Referring to fig. 8 and 9, when the input voltage of the converter suddenly changes, 365ms is required for the input voltage to reach a steady state under the traditional single-phase shift control method, while the output voltage is rapidly responded and always kept stable under the model prediction single-phase shift control method in the invention.
Referring to fig. 10 and 11, when the converter reference voltage is suddenly changed, under the traditional single-phase shift control algorithm, the reference voltage needs 76ms to reach the steady state, while under the model prediction single-phase shift control method in the invention, the output voltage is rapidly responded, only needs 13ms, which is far smaller than and better than the traditional phase shift control.
The invention carries out discretization processing on the output voltage state space average model, thereby predicting the output voltage of the converter at the next control time and controlling the quantity D by optimizing the phase shiftoptThe predictive control of the output voltage is realized, and the problem of slow dynamic response of the down converter of the existing control algorithm is effectively solved. And when the load resistance, the input voltage and the reference voltage suddenly change, the output voltage is always kept stable, the control algorithm has a simple structure, is easy to digitize, has good fault tolerance and has strong practicability.
Claims (3)
1. A model prediction single phase shift control method of a double-active full-bridge DC-DC converter is characterized by comprising the following steps:
s1: constructing a state equation of the output voltage according to a state space average model of the output voltage of the double-active full-bridge DC-DC converter;
wherein the content of the first and second substances,<uo>is the average value of the output voltage of the converter in a control period, R is the load resistance, C2N is the transformation ratio of the transformer, D is the phase shift control quantity in the converter, and L is the output side capacitancetTo assist the inductance, fsTo the switching frequency, uinIs the input voltage of the converter;
s2: deducing a state differential equation of the output voltage according to a state space average model of the output voltage of the dual-active full-bridge DC-DC converter, carrying out discretization processing on a differential term in the differential equation, and calculating to obtain a predicted value of the output voltage of the dual-active full-bridge DC-DC converter:
wherein u iso(k) For sampling the output voltage of the converter at time k, uo(k +1) is a predicted value of the output voltage of the converter at the time of k + 1;
s3: constructing a target evaluation function J by using the square of the difference between the output voltage predicted value and the reference value of the double-active full-bridge DC-DC converter;
wherein, U* o(k) The reference value of the output voltage of the double-active full-bridge DC-DC converter at the moment k;
s4: obtaining the optimized phase shift D of the double-active full-bridge DC-DC converter under a model predictive control strategy by differentiating the target evaluation function Jopt：
Wherein, Δ uo(k) The output voltage of the double-active full-bridge DC-DC converter at the moment k passes through the outer ring proportional-integral controller to form an output value; i.e. io(k) For sampling the output current of the converter at time k, uin(k) The sampled value of the converter input voltage at time k.
2. The model prediction single-phase shift control method of the dual-active full-bridge DC-DC converter according to claim 1, wherein the method for constructing the state space average model of the output voltage of the dual-active full-bridge DC-DC converter is as follows: dividing the working state of the converter in one control period into four stages, and respectively establishing state equations of output voltage and inductive current; combining state equations of the output voltage and the inductive current of the four stages to construct a state space average model for describing the output voltage in the whole control period;
the four stages are respectively t epsilon [0, DTs]、t∈[DTs,Ts]、t∈[Ts,(1+D)Ts]And T ∈ [ (1+ D) Ts,2Ts]，TsIs a switching cycle.
3. The model predictive single-phase shift control method of a dual-active full-bridge DC-DC converter according to claim 1, wherein the method of obtaining the predicted value of the converter output voltage comprises:
performing discrete processing on the state differential equation of the output voltage:
wherein, tkAnd tk+1Respectively a kth control period and a (k +1) th control period; t issIs a switching cycle;
and then according to the equation after the discrete processing, calculating to obtain a predicted value of the output voltage of the double-active full-bridge DC-DC converter.
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| CN114679067B (en) * | 2022-05-27 | 2022-09-23 | 浙江大学 | Predictive control method and predictive control device for isolated double-active-bridge direct-current converter |
| CN115800766B (en) * | 2023-01-30 | 2023-05-05 | 广东电网有限责任公司肇庆供电局 | Model reference self-adaptive control method and device based on double active bridge converters |
| CN115811236B (en) * | 2023-02-02 | 2023-05-12 | 山东大学 | DAB converter model prediction control method and system |
| CN116937999B (en) * | 2023-09-18 | 2024-02-13 | 深圳市德兰明海新能源股份有限公司 | Converter bridge arm circuit, converter device and precharge control method |
| CN117792106A (en) * | 2023-12-26 | 2024-03-29 | 广东浦立电气股份有限公司 | Phase-shifting full-bridge circuit control method, device, computer equipment and storage medium |
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