CN110061504A - A kind of slave power control method based on quasi- ratio resonance complex controll - Google Patents
A kind of slave power control method based on quasi- ratio resonance complex controll Download PDFInfo
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Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/01—Arrangements for reducing harmonics or ripples
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
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- 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
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- Y02E40/40—Arrangements for reducing harmonics
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Abstract
A kind of slave power control method based on quasi- ratio resonance complex controll, including constructed based on quasi- ratio resonance complex controll from power control mathematical model;Solve the closed-loop system output-transfer function of robust control;Building state space equation establishes suitable weighting function, and designs Robust Feedback Controller;Design quasi- ratio resonant controller.The method of the invention combines the advantages of quasi- ratio resonance control and robust control, and photovoltaic DC-to-AC converter output electric current can be made to have preferable dynamic characteristic and harmonic inhibition capability.
Description
Technical field
The invention belongs to single three-phase light to store up microgrid control technology field, and in particular to one kind is based on the quasi- compound control of ratio resonance
The slave power control method of system.
Background technique
Photovoltaic, wind-powered electricity generation distributed electric power generating composition micro-grid system learned both at home and abroad as a kind of generation of electricity by new energy form
The extensive concern of person.As photovoltaic power generation engineering is connected to the grid more and more, International Electrotechnical Commission is to grid-connected electric current
Quality proposes higher requirement, and for inverter as grid-connected important interface, control strategy performance directly affects output electricity
It can quality.In micro-grid connection or isolated operation, photovoltaic DC-to-AC converter is all made of power control strategy.For microgrid power
Control method expansion research reduces inverter output current harmonic wave with important to micro-capacitance sensor photovoltaic DC-to-AC converter control performance is improved
Meaning.
In existing technical literature, document A Current-Control Strategy for Voltage-Source
Inverters in Microgrids Based on H∞and Repetitive Control(Hornik T,Zhong Q.A
Current-Control Strategy for Voltage-Source Inverters in Microgrids Based on
H∞and Repetitive Control[J].IEEE Transactions on Power Electronics,2011,26
(3): 943-952.) for the current inner loop control in power control, author proposes a kind of electric current control based on Repetitive controller
System strategy.The strategy can effectively inhibit inverter output current harmonic content, improve tracking accuracy, but its dynamic property is inadequate
It is ideal.
Document Full-Feedforward Schemes of Grid Voltages for a Three-Phase LCL-
Type Grid-Connected Inverter(Li W,Ruan X,Pan D,et al.Full-Feedforward Schemes
of Grid Voltages for a Three-Phase LCL-Type Grid-Connected Inverter[J].IEEE
Transactions on Industrial Electronics, 2013,60 (6): 2237-2250.) by network voltage it is complete before
Feedback compensation is added in inverter power control, and wherein total feed forward penalty function includes proportional parts, and first derivative and second order are led
Number part.Voltage feed-forward control, which controls, can reduce the imbalance of Injection Current harmonic wave, but due to the limitation of feed-forward signal amplitude,
The improvement of transient response is relatively limited when it is to network voltage Spline smoothing in practical applications.
Document Evaluation of Current Controllers for Distributed Power
Generation Systems(Timbus A,Liserre M,Teodorescu R,et al.Evaluation of
Current Controllers for Distributed Power Generation Systems[J].IEEE
2009,24 (3): Transactions on Power Electronics 654-664.) is proposed a kind of based on proportional integration
The power control strategy of control.Proportional plus integral control structure is simple, is easily achieved in practical applications, but conventional proportional-integral control
System anti-interference ability when coping with the scenes such as load changes greatly or micro- source output power is mutated is poor.In addition, there is also suppressions
The problem of harmonic wave scarce capacity processed.
Summary of the invention
Against the above deficiency, the present invention proposes a kind of slave power controlling party based on quasi- ratio resonance complex controll
Method, the new type of control method that this method is made of the control of quasi- ratio resonance and robust control.Relative to conventional power controlling party
Method, the control method have preferable dynamic characteristic when coping with output-power fluctuation and load fluctuation, but also have relatively strong
Harmonic inhibition capability.
The technical scheme adopted by the invention is as follows:
A kind of slave power control method based on quasi- ratio resonance complex controll, comprising the following steps:
Step 1: establishing the slave power control mathematical model based on quasi- ratio resonance complex controll, transmission function
Are as follows:
Wherein, R (s) is control channel transmission function;F (s) is quasi resonant control transmission function;K (s) is robust feedback
Controller transfer function, [K (s)+F (s)] R (s) form main control channel, are closed-loop control.
Step 2: solving the closed-loop system output-transfer function of robust controller, H∞Control problem, which can be attributed to, to be made to input w
To the H of the closed loop transfer function, of output z∞Least norm is based on H∞Control problem, the closed-loop system output containing robust controller
Transfer function matrix form may be expressed as:
In above formula, system inputs w=[vg2irefa]T, wherein vg2For network voltage, irefFor reference current, a prolongs for internal model
The output of slow link;System exports z=[ze zu zt]T, wherein ze、zuAnd ztIndicate that input, the control of internal model delay link are defeated
Out with system robustness can system output quantity.U' indicates control output signal, and y indicates to measure output signal, and G is broad sense transmitting
Jacobian matrix, K (s) are robust controller to be designed.
Step 3: building state space equation establishes suitable weighting function, and designs Robust Feedback Controller:
It is as follows to construct state space equation:
For controlled system, inductive current i is selectedf2, ig2With filter capacitor voltage vc2As state variable x=[if2 ig2
vc2]T, meanwhile, w=[vg2 iref a]T, export y=iref-ig2, following state space equation can be obtained:
In state equation,For the first differential form of state variable, A1For sytem matrix, B11、B12For input matrix,
Wherein
Wherein, Rf2、Lf2And Cf2For the value of resistance, inductance and capacitor in energy storage main circuit.
Establish suitable weighting function:
Based on to system frequency response requirement design tracing deviation weighting function We(s) are as follows:
Wherein, M is the peak-peak of the frequency response of s, and A is the maximum steady state tracking error of system,Most for system
Small bandwidth frequency.
Design Robust Feedback Controller:
Optimization problem based on controlled device designs Robust Feedback Controller, which can be described as:
In above formula, p is the robust controller set met the requirements, and ξ is weight coefficient.Sensitivity function is S (s)=[1+G
(s)K(s)]-1, mending sensitivity function are as follows: Tur(s)=K (s) [1+G (s) K (s)]-1。
Robust controller is output to the closed loop transfer function, T of inputyr(s)=[1+G (s) K (s)]-1G (s) K (s)=I-S
(s)。
Wu(s) weighting function for indicating control output, is used to the size of control input signal.
Wt(s) weighting function for indicating system stability characteristic (quality), should ensure that the gain in high frequency is sufficiently large.
Above-mentioned optimization problem is solved, Robust Feedback Controller K (s) is obtained.
Step 4: quasi- ratio resonant controller is designed,
Quasi- ratio resonant controller transmission function are as follows:
Wherein, kpFor scale parameter, kiIt is directly proportional to peak gain for resonant parameter, play a part of to reduce steady-state error,
ωcFor cutoff frequency, s is complex frequency domain operator, ω1For resonance fundamental wave frequency.
Using the above scheme, the dynamically track characteristic and harmonic inhibition capability of system output current obtain excellent the present invention
Change, can make photovoltaic DC-to-AC converter output electric current that there is preferable dynamic characteristic and harmonic inhibition capability.
For the power control of inverter, the method for the present invention using the difference of given value and power reference and actual power as
The input of proportional integration link.In electric current loop, using the difference of current instruction value and actual current value as quasi- ratio resonance control
The control signal of device and Robust Feedback Controller processed, by the control of quasi- ratio resonance and Robust Feedback Controller control output electric current.
The method of the present invention combines the advantages of quasi- ratio resonance control and robust control, can make photovoltaic DC-to-AC converter output electricity
Stream has preferable dynamic characteristic and harmonic inhibition capability.
Detailed description of the invention
Fig. 1 is light storage micro-capacitance sensor structure chart.
Fig. 2 is H∞Control structure figure.
Fig. 3 is control structure figure of the present invention.
Based on Poewr control method current waveform figure proposed by the present invention when Fig. 4 (a) is access nonlinear load.
Based on Poewr control method total harmonic distortion waveform proposed by the present invention when Fig. 4 (b) is access nonlinear load
Figure.
Specific embodiment
Below with reference to examples and drawings, the present invention is done and is further described in detail, but embodiments of the present invention are not
It is limited to this.
Fig. 1 is light storage micro-capacitance sensor structure chart.The micro-capacitance sensor is made of two micro batteries, is controlled in isolated operation using principal and subordinate
Molding formula, a micro battery are main power source, another micro battery is from power supply.Distributed generation resource as main control unit uses
Constant voltage constant frequency control, the stabilization of voltage and frequency when for maintaining micro-capacitance sensor isolated operation.As the distribution from control unit
Power supply uses power control.
Fig. 2 is H∞Control structure figure.P (s) indicates controlled device in Fig. 2, and G (s) is augmented plant model, and K (s) is robust
Controller.U ' expression controls output signal, and y indicates to measure output signal, and system inputs w=[vg2 iref a]T, system output z
=[ze zu zt]T。H∞Control is to make system input w to the H of the closed loop transfer function, of output z∞Least norm.Below for containing
The closed-loop system output-transfer function of robust control:
Fig. 3 is control structure figure of the present invention.K (s) is Robust Feedback Controller transmission function, is joined according to the correlation of micro-capacitance sensor
Number.Robust controller K (s) expression formula are as follows:
In quasi- ratio resonance control controller F (s): kp=1, ki=175, ω1=314rad/s, ωc=5rad/s.Therefore:
The Poewr control method is controlled two parts and is formed by robust control and quasi- ratio resonance.Robust control is joined in electric current loop
Main control action from examining when signal is in stable state, can improve the static control performance of system, have stronger disturbance
Rejection ability.Quasi- ratio resonance control has better dynamic property, has rapidity in dynamic response.It is controlled using two kinds
Method makes the power control strategy of photovoltaic DC-to-AC converter have preferable dynamic characteristic and harmonic inhibition capability.
Based on Poewr control method test waveform proposed by the present invention when Fig. 4 (a), Fig. 4 (b) are access nonlinear loads
Figure.It is respectively the current waveform and harmonic wave resultant distortion proposed based on the present invention under power control effect shown in Fig. 4 (a), Fig. 4 (b)
Rate.Due to the difference very little in three-phase voltage between phase and phase, photovoltaic DC-to-AC converter output electric current A phase is selected to do harmonic wave point herein
Analysis.When load end accesses nonlinear load, electric current loop uses total based on the harmonic wave under Poewr control method proposed by the present invention
Aberration rate is 3.95%.It can be seen that control strategy proposed by the invention when coping with nonlinear load, has good humorous
Wave rejection ability.
Claims (1)
1. a kind of slave power control method based on quasi- ratio resonance complex controll, it is characterised in that the following steps are included:
Step 1: establishing the slave power control mathematical model based on quasi- ratio resonance complex controll, transmission function are as follows:
Wherein, R (s) is control channel transmission function;F (s) is quasi resonant control transmission function;K (s) is robust feedback control
Device transmission function, [K (s)+F (s)] R (s) form main control channel, are closed-loop control;
Step 2: solving the closed-loop system output-transfer function of robust controller, H∞Control problem, which can be attributed to, makes to input w to defeated
The H of the closed loop transfer function, of z out∞Least norm is based on H∞Control problem, the closed-loop system containing robust controller export transmitting
Jacobian matrix form may be expressed as:
U '=K (s) y
In above formula, system inputs w=[vg2 iref a]T, wherein vg2For network voltage, irefFor reference current, a is internal model delay
The output of link;System exports z=[ze zu zt]T, wherein ze、zuAnd ztIndicate input, the control output of internal model delay link
With the system output quantity of system robustness energy;U' indicates control output signal, and y indicates to measure output signal, and G is that broad sense transmits letter
Matrix number, K (s) are robust controller to be designed;
Step 3: building state space equation establishes suitable weighting function, and designs Robust Feedback Controller:
It is as follows to construct state space equation:
For controlled system, inductive current i is selectedf2, ig2With filter capacitor voltage vc2As state variable x=[if2 ig2 vc2
]T, meanwhile, w=[vg2 iref a]T, export y=iref-ig2, following state space equation can be obtained:
In state equation,For the first differential form of state variable, A1For sytem matrix, B11、B12For input matrix, wherein
Wherein, Rf2、Lf2And Cf2For the value of resistance, inductance and capacitor in energy storage main circuit;
Establish suitable weighting function:
Based on to system frequency response requirement design tracing deviation weighting function We(s) are as follows:
Wherein, M is the peak-peak of the frequency response of s, and A is the maximum steady state tracking error of system,For the most small band of system
Broadband;
Design Robust Feedback Controller:
Optimization problem based on controlled device designs Robust Feedback Controller, which can be described as:
In above formula, p is the robust controller set met the requirements, and ξ is weight coefficient;Sensitivity function is S (s)=[1+G (s) K
(s)]-1, mending sensitivity function are as follows: Tur(s)=K (s) [1+G (s) K (s)]-1;
Robust controller is output to the closed loop transfer function, T of inputyr(s)=[1+G (s) K (s)]-1G (s) K (s)=I-S (s);
Wu(s) weighting function for indicating control output, is used to the size of control input signal;
Wt(s) weighting function for indicating system stability characteristic (quality), should ensure that the gain in high frequency is sufficiently large;
Above-mentioned optimization problem is solved, Robust Feedback Controller K (s) is obtained;
Step 4: quasi- ratio resonant controller is designed,
Quasi- ratio resonant controller transmission function are as follows:
Wherein, kpFor scale parameter, kiIt is directly proportional to peak gain for resonant parameter, play a part of to reduce steady-state error, ωcFor
Cutoff frequency, s are complex frequency domain operator, ω1For resonance fundamental wave frequency.
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CN111864796A (en) * | 2020-06-30 | 2020-10-30 | 南京工程学院 | Control system and control method of photovoltaic grid-connected inverter |
CN114172353A (en) * | 2021-07-12 | 2022-03-11 | 中国人民解放军空军预警学院雷达士官学校 | Method and device for reducing output voltage harmonic waves of intermediate frequency power supply |
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