CN108075487A - The hierarchical control method for the isolated island micro-capacitance sensor that adaptive sagging and uniformity is combined - Google Patents
The hierarchical control method for the isolated island micro-capacitance sensor that adaptive sagging and uniformity is combined Download PDFInfo
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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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/388—Islanding, i.e. disconnection of local power supply from the network
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Abstract
The invention discloses a kind of adaptive droop control and uniformity in the hierarchical control method of isolated island micro-capacitance sensor, and content includes:Build hierarchical control scheme;It builds local layer and improves the control method of local layer;To improve droop control as voltage and a secondary control of angular frequency;Structure network layer and design are with pilotage people and consider the consistency algorithm of adaptive packet drop problem in data communication process and complete the linear quadratic control to voltage and angular frequency;Design the control method of reactive power distribution;In micro-capacitance sensor, due to the difference of each line impedance so that the reactive power of each DER outputs, it is impossible to be distributed according to respective rated capacity than reasonably;The output current ratio of each DER is then controlled by consistency algorithm, reasonably reactive power is distributed with this;Rational experiment scene is set to verify the validity of the hierarchical control method.The present invention improves the reliability of system, significantly improves the antijamming capability of system.
Description
Technical field
The invention belongs to intelligent grid control fields, are related to the micro- electricity of isolated island that a kind of adaptive sagging and uniformity is combined
The hierarchical control method of net refers specifically to the exchange micro-capacitance sensor distributed layer control method for coordinating containing multiple intelligent bodies.
Background technology
In recent years, as world economy is fast-developing and the improvement of people's living standards, the whole world is to the desired level of the energy
It steeply rises.The it is proposed of distributed generation resource (Distributed Energy Resource, vehicle economy R) has well solved phase
Problem is closed, it also certainly will be by the strong supplement as following large-scale power grid and effective support.Although distributed generation resource has flexibility
The series of advantages such as high, investment is low and environmental-friendly, but due to being restricted by natural environmental condition, there is also some shortcomings by DER.
In order to which DER is integrated into main power grid, while weaken its negative effect to power grid, micro-capacitance sensor concept is derived therewith.
For micro-grid system, voltage and angular frequency are two important power quality indexs.Micro-capacitance sensor in actual operation, must
Must the voltage of system and angular frequency stabilization be maintained near rated value using reliable control method, therefore linear quadratic control is wide
It is general to be applied in micro-grid system.At the same time, power-sharing problem is also the important directions of many scholar's researchs.
Traditional linear quadratic control is using the centerized fusion structure based on central controller, it is necessary to collect the complete of each DER
Then portion's information sends control instruction to each DER.Thus cause communication network complicated, the traffic is huge, and control structure is complicated
And financial cost is high.Often containing multiple units individual in system, so the dimension of system mathematic model is excessive to be also easy to produce dimension
Calamity reduces the stability of system.In order to reduce the traffic of system and reduce the financial cost of system, increase the stabilization of system
Property, in recent years, distributed and coordinated control method is widely applied in the linear quadratic control of micro-capacitance sensor.In distributed and coordinated control
In, the controller of each DER only communicates with neighbouring DER, and central controller is not required, and reduces the traffic of system, carries
The high control efficiency of system improves the robustness of system.
The content of the invention
In order to realize the stabilization of micro-capacitance sensor voltage and angular frequency, the present invention proposes a kind of adaptive droop control and uniformity
In the hierarchical control method of isolated island micro-capacitance sensor.Distributed layer control technology platform of the method for the present invention based on micro-capacitance sensor, mainly
Realize voltage, the adjusting of angular frequency and reactive power.
In order to realize above-mentioned target, the present invention is achieved by the following technical solutions:
In the hierarchical control method of isolated island micro-capacitance sensor, this method content includes such as a kind of adaptive droop control and uniformity
Lower step:
(1) hierarchical control scheme is built;
(2) build local layer and improve the control method of local layer;To improve droop control as voltage and angular frequency
One secondary control;
(3) network layer and design are built with pilotage people and considers the consistent of adaptive packet drop problem in data communication process
Property algorithm completes the linear quadratic control to voltage and angular frequency;
(4) control method of reactive power distribution is designed;In micro-capacitance sensor, due to the difference of each line impedance so that each
The reactive power of DER outputs, it is impossible to be distributed according to respective rated capacity than reasonably;Then controlled by consistency algorithm
The output current ratio of each DER is made, reasonably reactive power is distributed with this;
(5) rational experiment scene is set to verify the validity of the hierarchical control method.
Due to the adoption of the above technical scheme, hierarchical control method provided by the invention is compared with prior art, beneficial to imitate
Fruit is embodied in the following aspects:
(1) each DER when carrying out information interchange only with coupled DER progress information exchanges, without with other
All DER communicate, and such communication mode has the difference of essence with traditional centralized communication;It is all in micro-capacitance sensor
DER can regard peer node as, and system will be seriously affected when Centroid breaks down so as to avoid under traditional approach
Stability situation, so as to improve the reliability of system, significantly improve the antijamming capability of system;
(2) the adaptive droop control method with reference to discrete time uniformity is used in local layer control so that system
Immunity Performance be largely increased;Therefore, the packet loss problem in information exchanging process is considered in consistency protocol, and it is right
Packet loss problem is compensated so that even if each DER existence informations in information communication process lose problem, the state of each DER
Still the state of virtual pilotage people can be followed;
(3) the adaptive packet drop congruity theory with virtual pilotage people is introduced in micro-capacitance sensor;In network layer, each
Local information DER information adjacent with its is made the state of all DER all follow virtual pilotage people's by DER by the consistency protocol
State, and virtual pilotage people's state remains unchanged, then realize the voltage of the whole network and angular frequency by way of adding and feeding back
Stablize;
(4) structure of network layer is improved;By the improvement to network layer, make the part that linear quadratic control exports with
The output of local layer offsets, so that the output state of DER follows the state of virtual pilotage people;
(5) reactive power is allocated by adjusting the output current of DER;When each DER passes through inverter and big electricity
When net connects and runs on island mode, each inverter is equivalent to parallel connection;When the system is stable, the output voltage of each DER is
Consistent, at this point, by, using consistency algorithm, making each DER output currents into certain ratio, so as to fulfill idle to electric current
Power can be distributed according to each DER rated capacities than reasonably.
Description of the drawings
Fig. 1 is micro-capacitance sensor heterarchical architecture block diagram;
Fig. 2 is the heterarchical architecture figure of i-th DER;
Fig. 3 is local key-course simplified structure diagram;
Fig. 4 is the analytic explanation figure for improving P- ω droop controls;
Fig. 5 is the analytic explanation figure for improving Q-U droop controls.
Specific embodiment
The present invention is described in further detail with specific embodiment below in conjunction with the accompanying drawings:
A kind of adaptive droop control of the present invention and uniformity isolated island micro-capacitance sensor hierarchical control method, in this method
Appearance includes the following steps:
(1), based on virtual pilotage people and the congruity theory of information packet loss problem is considered, hierarchical control scheme is built;
The present invention is based on virtual pilotage people and consider the congruity theory of information packet loss problem, it is proposed that a kind of new
Distributed layer control method for coordinating.For each DER can point local layer and network layer control;In local layer, often
A DER can using local information in conjunction with droop control method come output voltage and angular frequency information;Due to local layer control
System only needs information of the relevant information of itself without other DER, and control method is simple and fast, but droop control is to have difference
It adjusts, therefore network layer and local layer is needed to eliminate systematic error jointly;In network layer, each DER can be considered one
Intelligent body all has the function of communication and calculating two;That is each DER can not only utilize local information can also be with the DER that is connected
Information is exchanged so as to obtain the information of other DER;DER generates a letter using these information by corresponding control method
Number, it is made to feed back to local layer, so as to fulfill local layer and network layer cooperative cooperating.It is illustrated with reference to Fig. 1.
Fig. 1 show micro-capacitance sensor heterarchical architecture block diagram, and DER is by local information and the letter of coupled other DER
The processing Jing Guo network layer is ceased, then, information feeds back to local layer by treated, realizes local layer and network layer collaboration is closed
Make to maintain the stabilization of system voltage and angular frequency.In micro-capacitance sensor, each DER connect level-one control intelligent body and
Two-stage control intelligent body.Fig. 2 is the heterarchical architecture figure of i-th DER.As shown in Fig. 2, i-th DER using local information and
The status information of adjacent DER passes through the consistency protocol with virtual pilotage people, and the value that agreement is calculated is input to two secondary controls
System, after the processing by linear quadratic control method, a secondary control (local layer) is fed back to by the output valve of linear quadratic control.So it incite somebody to action this
The output of voltage and angular frequency of stratum droop control method is synthesized with the voltage of linear quadratic control and angular frequency output through overvoltage
The sum of the sum of voltage and angular frequency are synthesized a voltage signal as the reference value of voltage and current double closed-loop module by module, are made
The inverter that the PWM waveform control that voltage and current double closed-loop module generates is connected with i-th DER, so as to the voltage of DER outputs
Reference value (state value of virtual pilotage people) can be followed with the value of angular frequency.Control method proposed by the present invention belongs to distributed
Hierarchical coordinative formula control method, which can realize the voltage of the whole network and angular frequency follows virtual pilotage people, maintain system
System voltage and angular frequency stabilization and improve the interference rejection ability of system.
(2) the improvement control method of local layer and local layer is built, to improve droop control as voltage and angular frequency
One secondary control;
1. build local layer
Local layer mainly includes energy computation module, droop control module, voltage synthesis module and voltage and current double closed-loop
Module;Wherein, energy computation module is the active power and reactive power that output is calculated using the voltage and current of DER outputs;
The active power calculated and reactive power are respectively obtained the angular frequency of sagging output by droop control module by sagging algorithm
And voltage;The voltage and angular frequency that voltage synthesis module exports droop control and linear quadratic control synthesize a voltage phasor,
And it outputs it to voltage and current double closed-loop module and makes its reference signal as voltage and current double closed-loop module;In voltage and current
In two close cycles module, using Voltage loop as outer shroud, using electric current loop as inner ring;Voltage loop by the voltage phasor of synthesis as reference
Signal, using the signal of Voltage loop output as the reference signal of electric current loop;The input signal difference of voltage and current double closed-loop module
For the voltage and current of DER outputs;PWM waveform is generated by voltage and current double closed-loop module to control what is be connected with DER
Inverter, the voltage and angular frequency output for making DER follow reference signal;In local layer, control that each DER has oneself independent
Unit processed, i.e. DER carry out local computing merely with local information, without with other DER exchange of information.Each link expression formula
As shown in Figure 2.
2. improve the control method of local layer
In the methods of the invention, the control method that local layer uses is P- ω/Q-U droop control algorithms, and this method makes inverse
Become the angular frequency of synchronous generator and terminal voltage and the active power and nothing that are exported in the output simulated high-pressure electric system of device
Droop characteristic between work(power;Because droop control is suitable for high-voltage fence, but most micro-capacitance sensor is low voltage network now, so
It needs to add virtual impedance to realize the resistance sense of micro-capacitance sensor circuit than reducing, specific design method is shown in published Chinese patent
CN106877398A.But it is droop control, therefore using a kind of adaptive droop control method of combination uniformity come instead of passing
P- ω/Q-U droop controls of system.
Analysis and design process are as follows:
Droop control expression formula is as follows:
In view of that when load varies widely, can represent to become situation as shown in Figure 4.To the explanation of Fig. 4 such as
Under:During stable operation, micro-grid system is operated in normal working point A points, sagging curve L1, when addition load in systems
When, B points in operating point after system will be moved to load change by normal working point A points along sagging direction, i.e. angular frequency also will be from
The ω of normal working point A pointsAIt is moved to the ω of B points in operating point after load changeBIt, will be right at this point, if angular frequency decline is excessive
System causes serious consequence.Angular frequency is recovered to ωAMethod it is general there are two types of:1. by L1Move to L2;2. by L1It is mobile
To L3.But first method will make ωrefIt is converted into ω 'ref, it is unfavorable to subsequent control link.So the method for the present invention uses
Second method designs improvement droop control.
By L1It is moved to L3, the actually variation of sagging coefficient.There is equation below establishment:
Wherein, ωA,ωBThe angular frequency of respectively A points and B points;m1,m3Respectively L1And L3Sagging coefficient;PBFor B points
Active power.
From (2) formula, as Δ m → 0, i.e., droop control is by L1It is moved to L3.According to above-mentioned analysis, discrete one is utilized
Cause property agreement can obtain following formula:
The adaptation coefficient of P- ω droop controls is:
mi[k+1]=(ωref-ωiB[k+1])/PB, k=0,1,2... (4)
Similarly, it is sagging for Q-U, as shown in figure 5, identical form can also be used, realize that sagging coefficient is adaptive
Variation, there is equation below establishment:
Wherein, UA,UBThe voltage of respectively A points and B points;n1,n3Respectively L1And L3Sagging coefficient;QBIt is idle for B points
Power.
From (5) formula, as Δ n → 0, i.e., droop control is by L1It is moved to L3.According to above-mentioned analysis, discrete one is utilized
Cause property agreement can obtain following formula:
The adaptation coefficient of Q-U droop controls is:
ni[k+1]=(Uref-UiB[k+1])/QB, k=0,1,2... (7)
Gain in above-mentioned formula (3) and formula (6) is relevant with packet loss, and after suitable gain is chosen, each DER is corresponded to
The deviation of the sagging coefficient that will be rotated final will tend to 0, i.e., the rotation of sagging curve is most completed at last, it is achieved thereby that changing
Into droop control;Though can improve droop control using the method, and improve droop control can be as the one of voltage and angular frequency
Secondary control, but its still for droop control, it is necessary to add linear quadratic control.
(3) network layer and design are built with pilotage people and considers the consistent of adaptive packet drop problem in data communication process
Property algorithm completes the linear quadratic control to voltage and angular frequency;
1. build network layer
In network layer, each DER is equivalent to an intelligent body, and is made of communicator and decision-making device two parts;
Communicator includes signal receiver and sender unit;Decision-making device includes sensor and decision controller;Power supply in physical layer,
The information of energy storage device, load and other equipment is sent to signal receiver by sensor;Signal receiver can not only receive
The information of oneself can also receive the information of coupled DER;At this point, signal receiver is by the letter of the information of oneself and other DER
Breath is sent to sender unit;On the one hand the information of oneself is sent out giving neighbours DER by sender unit, on the other hand will connect
It receives the full detail that device summarizes and is sent to decision controller, corresponding physics is controlled by the control signal of decision controller generation
Equipment.
2. the control method of design grid network layers
In network layer, each DER regards an intelligent body as, and has the function of to communicate and calculate two, without in
Heart node;Meanwhile each DER can not only collect local relevant information, can also be obtained by exchanging information with neighbours DER
To the information of other DER;So DER is only by limited information, by consistency algorithm treated data feedback to local
Layer, it is achieved thereby that the cooperative cooperating of local layer and network layer;Since it is considered that in actual industrial environment, it is suitable to select
Therefore pilotage people, selectes the method for virtual pilotage people (Virtual leader) to realize that uniformity is imitated in the methods of the invention
Fruit;Wherein, as long as Virtual leader are global accessible point, that is, arbitrary DER can be transmitted to by referring to information, then can be realized each
The voltage of DER, angular frequency state are consistent with the corresponding state amount of Virtual leader;Global accessible point is rational by designing
aijAnd biTo realize.
According to graph theory:The topological structure of multi-agent network usually with digraph G=(V, ε) represent, the digraph be by
Vertex set V={ 1,2 ..., n } and line setIt forms.N node for defining the digraph represents n intelligent body ∑
1,∑2,…∑n.In digraph, if i-th of node has information to be transferred to j-th of node, i-th of node has a line
It is directed toward j-th of node.If there will be the digraph adjacency matrix A=a of n node set N={ 1,2 ..., n }ij∈Rn×nIt is fixed
Justice is if (xi,yj) ∈ ε, if i-th of node has information to be transferred to j-th of node, aij=1, otherwise aij=0.
Continuous time congruity theory:The information state of single intelligent body can be represented with following formula:
Wherein, xi∈RnRepresent the information state of i-th of intelligent body, ui∈RnRepresent control input.In multi-agent network
In topology, the information state of multi-agent system can reach consistent, be since the information state of n simple integral intelligent body can be with
It is represented with n rank linear systems.General consistency protocol thus can be obtained:
If considering to have the consistency protocol of pilotage people, there is the consistency protocol as follows:
Wherein, xL(t) be pilotage people quantity of state, kiIt is gain, biIt is the connection between i-th of intelligent body and pilotage people
Weights, if being related, bi> 0, otherwise bi=0.By formula (10) can final i-th of intelligent body quantity of state with
Pilotage people's quantity of state reaches consistent.
During due to being transmitted between each intelligent body into row information, it can inevitably run into information and lose problem, thereby increases and it is possible to which packet loss is
Random, therefore in the methods of the invention, design is a kind of to be with the relevant adaptive new consistency protocol of packet loss:
There is following formula establishment:
Make Laplace conversion to above formula, have:
After abbreviation, have:
When there is two DER to follow a pilotage people in system, it is assumed that system equation is first-order equation, i.e.,If two
The state of platform DER is respectively x1And x2.The state of virtual pilotage people is xLAnd it is constant.The then error of follower and pilotage people point
It is not:
For above formula, following deformation can be done in conjunction with (14):
Wherein, c1=∫ x1(t)dt|T=0,c2=∫ x2(t)dt|T=0, both for constant.
Therefore gain k1(θ1,θ2,θL1) and k2(θ1,θ2,θL2As long as) meet It can be realized consistent.
Discrete time congruity theory:Discrete time consistency protocol with virtual pilotage people can be represented with following formula:
Wherein xi[k] represents system mode, and k is discrete-time series.
When there is two DER to follow a pilotage people in system, if the state of two DER is respectively x1And x2.It is virtual to navigate
The state of person is xLAnd be constant, then the error of follower and pilotage people are formula (15).
Following deformation can be done in conjunction with (15):
Take transform that can obtain formula (15):
Therefore gain k1(θ1,θ2,θL1) and k2(θ1,θ2,θL2As long as) meet It can be realized consistent.
To sum up, with the variation of packet loss, the gain in consistency protocol be also it is continually changing, i.e., finally total energy by this
The method that invention provides finds suitable yield value to overcome problems such as random packet loss.
(1) design process of voltage controller is as follows:
In local layer, a control method of i-th DER is droop control, and mathematic(al) representation is:
Wherein, ωrefAnd UrefRespectively angular frequency and voltage reference value;miAnd niFor sagging coefficient, and it is constant;PiWith
QiFor the active power and reactive power of DER outputs.
Since the amplitude of DER output voltages is expressed as in dq coordinate systems:
So the voltage control method of a secondary control can also be written as:
As described above, the effect of micro-capacitance sensor secondary voltage collaborative controller is exactly to consider to make in the case of control input bounded
The voltage synchronous of each distributed generation resource is to given reference value.Differential is taken to formula (22) and takes auxiliary variable uvi:
This process is input-output feedback linearization.It thus can be by the electricity for the micro-capacitance sensor being made of multiple DER
Pressure stationary problem is converted to the synchronized tracking problem of first-order linear multi-agent network.
Using graph theory knowledge, with reference to virtual pilotage people and considering the coherence method of packet loss problem, design voltage one
Cause property agreement is as follows:
Wherein, Ni={ 1,2 ..., n };Ui, UjThe voltage magnitude of i-th, j DER respectively in micro-grid system;ULFor
The voltage of virtual pilotage people, and UL=Uref。
As shown in Figure 2, voltage linear quadratic control output valve is:
(2) design process of angular frequency controller is as follows:
It is similar with the mentality of designing of voltage linear quadratic control, derivation is carried out to the angular frequency in formula (20) and takes auxiliary variable
uωi, obtain equation below:
With virtual leader and consider the coherence method of packet loss problem, then angular frequency consistency protocol is as follows:
Wherein, ωi, ωjThe output angular frequency value of i-th, j DER respectively in micro-grid system;ωLFor virtual pilotage people
Angular frequency, and ωL=ωref。
As shown in Figure 2, angular frequency linear quadratic control output valve is:
As shown in Figure 2, the output co-determination DER voltages and angular frequency of the output of a secondary control and linear quadratic control is defeated
Go out, therefore:
And have:
It can be drawn by formula (30):
Therefore the requirement of formula (26) can be realized by the consistency protocol of design, you can complete to each DER voltages and angle
The linear quadratic control of frequency.
(4) control method of reactive power distribution is designed
In micro-capacitance sensor, due to the difference of each line impedance so that the reactive power of each DER outputs cannot be according to respective
Rated capacity ratio is reasonably distributed;The method of the present invention controls the output current ratio of each DER by consistency algorithm, with this
Reasonably distribute reactive power.
Because haveAnd in steady state operation, controlled by uniformity, each
Voltage is equal with other voltages.Again because after circuit is determined, the impedance of circuit is also determined, i.e.,(It represents
Power-factor angle) also it is determined.Therefore, for reactive power, pro rate can be by reasonably distributing electric current come real by measure
It is existing.
In case of two distributed generation resource parallel connections, at this moment it is used for the formula that ratio is allocated by measure and is expected such as
Under:
In formula, Q1And Q2The reactive power of respectively two distributed generation resource output,WithIt is two distributions respectively
The rated reactive power of power supply.
And have:
In formula, I1And I2It is the electric current of two distributed generation resources respectively, U1And U2The electricity of respectively two distributed generation resources
Pressure,WithThe corresponding power-factor angle of respectively two distributed generation resources.
Have by elementary transformation:
According to above-mentioned formula, the control method of reactive power distribution is as follows:
The first step:When system be it is stable, by foregoing hierarchical control voltage control, including a secondary control and two secondary controls
System, to realize that voltage value is equal, parallel connection requires voltage equal, and circulation is effectively suppressed, and circuit determines,And really
Fixed;
Second step:Design current consistency protocol first realizes that the current value of each distributed generation resource reaches consistent;
3rd step:By the electric current of each distributed generation resource according to formula (34), corresponding proportionality coefficient is multiplied by, is realized to nothing
The distribution of work(power.
With reference to reality, problems such as random packet loss is considered, current controller can design as follows:
Wherein, kIi(θi,θj) it is gain;aijFor the element of adjacency matrix;I0iAnd I0jIt is filtered for DER by inverter and LC
The output current value of ripple device.
By consistency protocol electric current is made to reach consistent, be then multiplied by corresponding coefficient as needed, make the output of each DER
Electric current can realize the distribution of reactive power with this into certain ratio.
(5) rational experiment scene is set to verify the validity of the hierarchical control method.
The present invention sets two kinds of experimental methods to verify the validity of the hierarchical control method.The first situation is normal
In the case of, this method can be such that the voltage of system and angular frequency maintains on specified value;Second is to add one on some time point
A larger disturbance load.Assume that existence information loses problem and packet loss phase in information exchanging process under both of these case
Together.Experiment proves that the control method can keep the stabilization of system voltage and angular frequency, improves the Immunity Performance of system.
As it will be easily appreciated by one skilled in the art that the foregoing is merely preferred embodiment of the present invention, not to
The limitation present invention, every all any modification, equivalent and improvement done within the spirit and principles in the present invention etc., should all wrap
Containing within protection scope of the present invention.
Claims (1)
1. a kind of adaptive droop control and uniformity are in the hierarchical control method of isolated island micro-capacitance sensor, it is characterised in that:This method
Content includes the following steps:
Step 1:Based on virtual pilotage people and the congruity theory of information packet loss problem is considered, hierarchical control scheme is built;
Based on virtual pilotage people and considering the congruity theory of information packet loss problem, for each DER points for local layer and
Network layer is controlled;In local layer, each DER can export electricity using local information in conjunction with droop control method
Pressure and angular frequency information;Local control only needs information of the relevant information of itself without other DER, and droop control is to have
Difference is adjusted, it is necessary to which network layer and local layer eliminate systematic error jointly;In network layer, each DER can be considered one
Intelligent body all has the function of communication and calculating two;That is each DER can not only utilize local information can also be with the DER that is connected
Information is exchanged so as to obtain the information of other DER;DER generates a letter using these information by corresponding control method
Number, it is made to feed back to local layer, it is achieved thereby that local layer and network layer cooperative cooperating;
Step 2:The improvement control method in local layer and local layer is built, to improve droop control as voltage and angular frequency
One secondary control;
1. build local layer
Local layer mainly includes energy computation module, droop control module, voltage synthesis module and voltage and current double closed-loop module;
Wherein, energy computation module is the active power and reactive power that output is calculated using the voltage and current of DER outputs;It is sagging
The active power calculated and reactive power are respectively obtained the angular frequency and electricity of sagging output by control module by sagging algorithm
Pressure;The voltage and angular frequency that voltage synthesis module exports droop control and linear quadratic control are collectively referred to as a voltage phasor, by it
Export makes its reference signal as voltage and current double closed-loop module to voltage and current double closed-loop module;In voltage and current double closed-loop
In module, using Voltage loop as outer shroud, using electric current loop as inner ring;Voltage loop using the voltage phasor of synthesis as with reference to signal,
Using the signal of Voltage loop output as the reference signal of electric current loop;The input signal of voltage and current double closed-loop module is respectively DER
The voltage and current of output;PWM waveform is generated by voltage and current double closed-loop module to control the inversion being connected with DER
Device, the voltage and angular frequency for making DER outputs follow reference signal;
2. improve the control method of local layer
The control method that local layer uses is P- ω/Q-U droop control algorithms, and droop control expression formula is as follows:
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</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
The adaptive droop control method with reference to discrete time uniformity is designed, design process is as follows:
By changing sagging coefficient, angular frequency is recovered to ωA,
There is equation below establishment:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mi>&Delta;</mi>
<mi>&omega;</mi>
<mo>=</mo>
<msub>
<mi>&omega;</mi>
<mi>B</mi>
</msub>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mi>A</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>m</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mi>B</mi>
</msub>
</mrow>
<msub>
<mi>P</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>m</mi>
<mn>2</mn>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mi>A</mi>
</msub>
</mrow>
<msub>
<mi>P</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mi>&Delta;</mi>
<mi>m</mi>
<mo>=</mo>
<msub>
<mi>m</mi>
<mn>2</mn>
</msub>
<mo>-</mo>
<msub>
<mi>m</mi>
<mn>1</mn>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&omega;</mi>
<mi>B</mi>
</msub>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mi>A</mi>
</msub>
</mrow>
<msub>
<mi>P</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<mfrac>
<mrow>
<mi>&Delta;</mi>
<mi>&omega;</mi>
</mrow>
<msub>
<mi>P</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, ωA,ωBThe angle of operating point (B points) respectively after the angular frequency and load change of system worked well point (A points)
Frequency;m1,m3Normal P- ω sagging curves (L respectively before load change1) sagging coefficient and load change after it is preferable
P- ω sagging curve (L3) sagging coefficient;PBFor the active power of operating point after load change (B points);
From (2) formula, as Δ m → 0, angular frequency recovers to ωA;According to above-mentioned analysis, design is as follows:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>&rsqb;</mo>
<mo>=</mo>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>i</mi>
<mi>B</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mi>A</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>&rsqb;</mo>
<mo>=</mo>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
<mn>1</mn>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>j</mi>
<mo>&Element;</mo>
<msub>
<mi>N</mi>
<mi>i</mi>
</msub>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>L</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>&Element;</mo>
<msub>
<mi>N</mi>
<mi>i</mi>
</msub>
</mrow>
</munder>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
</mrow>
<mo>)</mo>
<mo>+</mo>
<msub>
<mi>b</mi>
<mi>i</mi>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>L</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>L</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>3</mn>
<mo>)</mo>
</mrow>
</mrow>
The adaptation coefficient of P- ω droop controls is:
mi[k+1]=(ωref-ωiB[k+1])/PB, k=0,1,2... (4)
Similarly, it is sagging for Q-U, using identical form, realize the adaptive variation of sagging coefficient, there is equation below establishment:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mi>&Delta;</mi>
<mi>U</mi>
<mo>=</mo>
<msub>
<mi>U</mi>
<mi>B</mi>
</msub>
<mo>-</mo>
<msub>
<mi>U</mi>
<mi>A</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>n</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>U</mi>
<mi>B</mi>
</msub>
</mrow>
<msub>
<mi>Q</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>n</mi>
<mn>3</mn>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>U</mi>
<mi>A</mi>
</msub>
</mrow>
<msub>
<mi>Q</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mi>&Delta;</mi>
<mi>n</mi>
<mo>=</mo>
<msub>
<mi>n</mi>
<mn>3</mn>
</msub>
<mo>-</mo>
<msub>
<mi>n</mi>
<mn>1</mn>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>U</mi>
<mi>B</mi>
</msub>
<mo>-</mo>
<msub>
<mi>U</mi>
<mi>A</mi>
</msub>
</mrow>
<msub>
<mi>Q</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<mfrac>
<mrow>
<mi>&Delta;</mi>
<mi>U</mi>
</mrow>
<msub>
<mi>Q</mi>
<mi>B</mi>
</msub>
</mfrac>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>5</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, UA,UBThe voltage of operating point (B points) respectively after the voltage and load change of system worked well point (A points);
n1,n3Normal Q-U sagging curves (L respectively before load change1) sagging coefficient and load change after preferable Q-U
Sagging curve (L3) sagging coefficient;QBFor the reactive power of operating point after load change (B points);
From (5) formula, as Δ n → 0, voltage recovers to UA;According to above-mentioned analysis, design is as follows:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>&rsqb;</mo>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>i</mi>
<mi>B</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>U</mi>
<mi>A</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>&rsqb;</mo>
<mo>=</mo>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
<mn>1</mn>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>j</mi>
<mo>&Element;</mo>
<msub>
<mi>N</mi>
<mi>i</mi>
</msub>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>L</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>&Element;</mo>
<msub>
<mi>N</mi>
<mi>i</mi>
</msub>
</mrow>
</munder>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
</mrow>
<mo>)</mo>
<mo>+</mo>
<msub>
<mi>b</mi>
<mi>i</mi>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>L</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>L</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>e</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&lsqb;</mo>
<mi>k</mi>
<mo>&rsqb;</mo>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>6</mn>
<mo>)</mo>
</mrow>
</mrow>
The adaptation coefficient of Q-U droop controls is:
ni[k+1]=(Uref-UiB[k+1])/QB, k=0,1,2... (7)
Gain in above-mentioned (3) formula and (6) formula is relevant with packet loss, and after suitable gain is chosen, each DER is corresponding will
The deviation for the sagging coefficient to be rotated tends to 0 by final, i.e., most completes the rotation of sagging curve at last, it is achieved thereby that under improving
It hangs down and controls;
Step 3:Structure network layer and design with pilotage people and consider the consistent of adaptive packet drop problem in data communication process
Property algorithm completes the linear quadratic control to voltage and angular frequency;
1. build network layer
In network layer, each DER is equivalent to an intelligent body, and is made of communicator and decision-making device two parts;Communication
Device includes signal receiver and sender unit;Decision-making device includes sensor and decision controller;Power supply, energy storage in physical layer
The information of equipment, load and other equipment is sent to signal receiver by sensor;Signal receiver can not only receive oneself
Information can also receive the information of coupled DER;At this point, signal receiver sends out the information of oneself and the information of other DER
Give sender unit;On the one hand the information of oneself is sent out giving neighbours DER by sender unit, on the other hand by receiver
The full detail summarized is sent to decision controller;By the control signal of decision controller generation corresponding physics is controlled to set
It is standby;
2. the control method of design grid network layers
The design process of 2.1 voltage controllers is as follows:
In local layer, a control method of i-th DER is droop control, and mathematic(al) representation is:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>&omega;</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>m</mi>
<mi>i</mi>
</msub>
<msub>
<mi>P</mi>
<mi>i</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>U</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>n</mi>
<mi>i</mi>
</msub>
<msub>
<mi>Q</mi>
<mi>i</mi>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>8</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, ωrefAnd UrefRespectively angular frequency and voltage reference value;miAnd niFor sagging coefficient, and it is constant;PiAnd QiFor
The active power and reactive power of DER outputs;
Since the amplitude of DER output voltages is expressed as in dq coordinate systems:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>U</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msqrt>
<mrow>
<msup>
<msub>
<mi>U</mi>
<mrow>
<mi>d</mi>
<mi>i</mi>
</mrow>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msubsup>
<mi>U</mi>
<mrow>
<mi>q</mi>
<mi>i</mi>
</mrow>
<mn>2</mn>
</msubsup>
</mrow>
</msqrt>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>q</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0</mn>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>9</mn>
<mo>)</mo>
</mrow>
</mrow>
So the voltage control method of a secondary control can also be written as:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>d</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>n</mi>
<mi>i</mi>
</msub>
<msub>
<mi>Q</mi>
<mi>i</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>q</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0</mn>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>10</mn>
<mo>)</mo>
</mrow>
</mrow>
Differential is taken to formula (10) and takes auxiliary variable uvi:
<mrow>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>d</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>n</mi>
<mi>i</mi>
</msub>
<msub>
<mover>
<mi>Q</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>i</mi>
</msub>
<mo>&equiv;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mn>3...</mn>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>11</mn>
<mo>)</mo>
</mrow>
</mrow>
Using graph theory knowledge, with reference to virtual pilotage people and considering the coherence method of packet loss problem, design voltage uniformity
Agreement is as follows:
<mrow>
<msub>
<mi>u</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>k</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mi>i</mi>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mi>j</mi>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mi>L</mi>
</msub>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>U</mi>
<mi>j</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>U</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
</mrow>
<mo>)</mo>
<mo>+</mo>
<msub>
<mi>b</mi>
<mi>i</mi>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>L</mi>
</mrow>
</msub>
<msub>
<mi>U</mi>
<mi>L</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>U</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>12</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, Ni={ 1,2 ..., n };UiAnd UjThe voltage magnitude of i-th, j DER respectively in micro-grid system;ULVirtually to lead
The voltage of boat person, and UL=Uref;
Design voltage linear quadratic control value of feedback is:
<mrow>
<msub>
<mi>&delta;U</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<mo>&Integral;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>t</mi>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>+</mo>
<mi>n</mi>
<mo>&Integral;</mo>
<mover>
<mi>Q</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>d</mi>
<mi>t</mi>
<mo>;</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>13</mn>
<mo>)</mo>
</mrow>
</mrow>
The design process of 2.2 angular frequency controllers is as follows:
It is similar with the mentality of designing of voltage linear quadratic control, derivation is carried out to the angular frequency in formula (6) and takes auxiliary variable uωi, obtain
Equation below:
<mrow>
<msub>
<mover>
<mi>&omega;</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mover>
<mi>&omega;</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>n</mi>
<mi>i</mi>
</msub>
<msub>
<mover>
<mi>P</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>i</mi>
</msub>
<mo>&equiv;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mn>...</mn>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>14</mn>
<mo>)</mo>
</mrow>
</mrow>
With virtual leader and consider the coherence method of packet loss problem, then angular frequency consistency protocol is as follows:
<mrow>
<msub>
<mi>u</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>k</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mi>i</mi>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mi>j</mi>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mi>L</mi>
</msub>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>&omega;</mi>
<mi>j</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>&omega;</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
</mrow>
<mo>)</mo>
<mo>+</mo>
<msub>
<mi>b</mi>
<mi>i</mi>
</msub>
<mo>(</mo>
<mrow>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>L</mi>
</mrow>
</msub>
<msub>
<mi>&omega;</mi>
<mi>L</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>&omega;</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>15</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, ωiAnd ωjThe output angular frequency value of i-th, j DER respectively in micro-grid system;ωLFor virtual pilotage people's
Angular frequency, and ωL=ωref;
Designing angular frequency linear quadratic control value of feedback is:
<mrow>
<msub>
<mi>&delta;&omega;</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<mo>&Integral;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>t</mi>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>+</mo>
<mi>m</mi>
<mo>&Integral;</mo>
<mover>
<mi>P</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>d</mi>
<mi>t</mi>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>16</mn>
<mo>)</mo>
</mrow>
</mrow>
The output of DER voltages and angular frequency is codetermined by the output of a secondary control and the output of linear quadratic control, therefore:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>&omega;</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<mi>m</mi>
<mi>p</mi>
<mo>+</mo>
<msub>
<mi>&delta;&omega;</mi>
<mi>i</mi>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>U</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>-</mo>
<mi>n</mi>
<mi>Q</mi>
<mo>+</mo>
<msub>
<mi>&delta;U</mi>
<mi>i</mi>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>17</mn>
<mo>)</mo>
</mrow>
</mrow>
And have:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mi>m</mi>
<mi>p</mi>
<mo>=</mo>
<mo>&Integral;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>t</mi>
<mo>-</mo>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>+</mo>
<mi>m</mi>
<mo>&Integral;</mo>
<mover>
<mi>P</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>d</mi>
<mi>t</mi>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mi>n</mi>
<mi>Q</mi>
<mo>=</mo>
<mo>&Integral;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>t</mi>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
<mo>+</mo>
<mi>n</mi>
<mo>&Integral;</mo>
<mover>
<mi>Q</mi>
<mo>&CenterDot;</mo>
</mover>
<mi>d</mi>
<mi>t</mi>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>18</mn>
<mo>)</mo>
</mrow>
</mrow>
It can be drawn by formula (18):
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mo>&Integral;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>&omega;</mi>
<mi>i</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>t</mi>
<mo>=</mo>
<msub>
<mi>&omega;</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>&Integral;</mo>
<msub>
<mi>u</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>t</mi>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
<mi>f</mi>
</mrow>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>19</mn>
<mo>)</mo>
</mrow>
</mrow>
Therefore the linear quadratic control to each DER voltages and angle angular frequency can be completed by the consistency protocol of design;
Step 4:Design the control method of reactive power distribution
In case of two distributed generation resource parallel connections, it is as follows to be at this moment used for the formula expection that ratio is allocated by measure:
<mrow>
<mfrac>
<msub>
<mi>Q</mi>
<mn>1</mn>
</msub>
<msub>
<mi>Q</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>=</mo>
<mfrac>
<msub>
<mi>Q</mi>
<msub>
<mn>0</mn>
<mn>1</mn>
</msub>
</msub>
<msub>
<mi>Q</mi>
<msub>
<mn>0</mn>
<mn>2</mn>
</msub>
</msub>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>20</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula, Q1And Q2The reactive power of respectively two distributed generation resource output,WithIt is two distributed generation resources respectively
Rated reactive power;
And have:
In formula, I1And I2It is the electric current of two distributed generation resources respectively, U1And U2The voltage of respectively two distributed generation resources,WithThe corresponding power-factor angle of respectively two distributed generation resources;
Have by elementary transformation:
According to above-mentioned (22) formula, the control method of reactive power distribution is as follows:
The first step:When system is stable, controlled by the voltage in foregoing hierarchical control, including a secondary control and linear quadratic control,
Realize that voltage value is equal, parallel connection requires voltage equal, and circulation is effectively suppressed, and circuit determines,Also it is to determine
's;
Second step:Design current consistency protocol first realizes that the current value of each distributed generation resource reaches consistent;
3rd step:By the electric current of each distributed generation resource according to formula (22), corresponding proportionality coefficient is multiplied by, is realized to reactive power
Distribution;
With reference to reality, problems such as random packet loss is considered, current controller can design as follows:
<mrow>
<msub>
<mi>I</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>k</mi>
<mrow>
<mi>I</mi>
<mi>i</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mi>i</mi>
</msub>
<mo>,</mo>
<msub>
<mi>&theta;</mi>
<mi>j</mi>
</msub>
<mo>)</mo>
</mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>I</mi>
<mrow>
<mn>0</mn>
<mi>j</mi>
</mrow>
</msub>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>&theta;</mi>
<mrow>
<mi>U</mi>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>I</mi>
<mrow>
<mn>0</mn>
<mi>i</mi>
</mrow>
</msub>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>23</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, kIi(θi,θj) it is gain;aijFor the element of adjacency matrix;I0iAnd I0jIt is DER by inverter and LC wave filters
Output current value;
By consistency protocol electric current is made to reach consistent, be then multiplied by corresponding coefficient as needed, make the output current of each DER
Into certain ratio, the distribution of reactive power is realized with this;
Step 5:Rational experiment scene is set to verify the validity of the hierarchical control method.
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CN108964139A (en) * | 2018-07-06 | 2018-12-07 | 江苏大学 | A kind of hierarchical control micro-grid connection synchronizing frequency control method based on consistency algorithm |
CN109066765A (en) * | 2018-07-06 | 2018-12-21 | 河海大学 | Isolated island micro-capacitance sensor adaptive synchronicity control method for frequency based on consistency policy |
CN109149597A (en) * | 2018-08-07 | 2019-01-04 | 江苏大学 | A kind of flexible temperature control load participation microgrid frequency modulation method based on distributed traction consistency control |
CN109950894A (en) * | 2019-03-29 | 2019-06-28 | 电子科技大学 | A kind of DC micro power grid system and its hierarchical control method based on consistency algorithm |
CN110190599A (en) * | 2019-06-10 | 2019-08-30 | 燕山大学 | A kind of isolated island micro-capacitance sensor control strategy based on finite time congruity theory |
CN110518641A (en) * | 2019-09-23 | 2019-11-29 | 西南交通大学 | A kind of exchange micro-capacitance sensor realizes the distributed layer control method for coordinating of power distribution |
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CN110611333A (en) * | 2019-11-11 | 2019-12-24 | 燕山大学 | Island microgrid distributed coordination control method considering communication problem |
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