CN107544249A - The determination of stability method of direct current distributed system under reciprocity control model - Google Patents
The determination of stability method of direct current distributed system under reciprocity control model Download PDFInfo
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Abstract
The present invention relates to the stability analysis technology in direct current distributed system technology, it is desirable to provide a kind of determination of stability method of direct current distributed system under reciprocity control model.Including：Range site connection method carries out Dai Weinan/Norton equivalent to power supply or load, and impedance matrix or admittance matrix are built according to the impedance of power supply, load or system node or admittance；Bring each matrix into stability criteria and obtain the characteristic value of system, if the characteristic value of system is all stable in Left half-plane, system；If the characteristic value of RHP, then system is unstable.The stability criteria of the present invention without particular requirement, is applicable to radial pattern system, is also applied for loop system to system architecture, applied widely.The stability containing the complicated direct current distributed system such as impedance between multiple droop control type power supplys, current-control type power supply, constant current load, constant power load, system node can be effectively analyzed, system is ensured stabilization to carry out impedance regulation measure.
Description
Technical field
The invention belongs to the stability analysis technology in direct current distributed system technology, and in particular under reciprocity control model
The determination of stability method of direct current distributed system.
Background technology
With a large amount of accesses of renewable new energy, direct current distributed system is extensive as a kind of system efficiently utilized
Using.Direct current distributed system is typically made up of multiple power supplys, load constant power module, using equity control between multiple power supplys
System, i.e., the good energy-storage units of multiple controllabilitys, adjustability carry out voltage support using droop control and flowed, and stochastic volatility is big
Photovoltaic generation unit using current control as current-control type power supply.Usual single power model can be really in control design case
Stabilization when protecting independent operating, but will be interacted during composition system, reduce the stability of a system.On the other hand, constant power load
Negative impedance external characteristics to be further exacerbated by system unstable.How to analyze the stability of direct current distributed system be it is critically important,
Highly significant the problem of.
For direct current distributed system stability analysis problem, conventional numerous studies are to be directed to the list load of single source, multi-source simultaneously
Join the stability of more load parallel cases, document《Impedance-based local stability criterion for
DC distributed power systems》、《Impedance-based stability criterion for grid-
connected inverters》、《Impedance specifications for stable DC distributed
power systems》Many beneficial conclusions are given, but have ignored the impedance between system node.Document《Direct current distributed system
Node impedance characteristic and system stability analysis》Impedance between system node is considered, system is asked for using system node admittance and appoints
Anticipate node impedance, but be only applicable to radial pattern structure, can not effective decision-making system stability to ring network structure system.For looped network
Structural system, state space method can be analyzed effectively.Document《Reduced-order model and stability analysis
of low-voltage DC microgrid》By establishing the complete state-space model of looped network direct current distributed system, ask for
The eigenvalue analysis stability of a system of sytem matrix, but the detailed model of system components is needed, obtained sytem matrix
More complicated, physical significance corresponding to each matrix element is unintelligible.Document《Modeling and analysis of
harmonic stability in an AC power-electronics-based power system》By unit connection method
Applied to analysis system stability in the exchange micro-capacitance sensor of master ＆ slave control, with clear and definite physical significance, impedance analysis can be passed through
The impedance and admittance that instrument measurement obtains are modeled to each power model, but not by system node admittance matrix and other parts
Impedance separates, it is difficult to intuitively obtain the vague generalization stability criteria of system, is unfavorable for extending.
The content of the invention
The technical problem to be solved in the present invention is to overcome deficiency of the prior art, there is provided direct current under reciprocity control model
The determination of stability method of distributed system, for solving the problems, such as the stability analysis of direct current distributed system.
To solve technical problem, solution of the invention is：
A kind of determination of stability method of direct current distributed system under reciprocity control model is provided, comprised the steps：
(1) range site connection method is born to droop control type power supply, current-control type power supply, resistive load and invariable power
Row Dai Weinan/Norton equivalent is loaded into, by calculating or being measured using electric impedance analyzer, respective impedance is obtained or leads
Receive；Build the main power source impedance matrix Z of droop control type power supply compositiond, and the load of current-control type power supply, constant current and perseverance
The admittance matrix Y of power termination compositionC；
(2) the resistive load admittance of each node is obtained by calculating or electric impedance analyzer, builds resistive load admittance
Matrix YL；According to cable parameter between node, constructing system bus admittance matrix Ynet；
(3) the main power source impedance matrix Z for forming droop control type power supplyd, current-control type power supply, constant current load and
The admittance matrix Y of constant power load compositionc, resistive load admittance matrix YLWith system node admittance matrix YnetStability is brought into sentence
According to T, stability criteria T is shown below：
T=det (Yc+Zd(YL+Ynet))=0
Wherein, det is the function that determinant is asked for matrix；
Computational stability criterion T obtains the characteristic value of system；If the characteristic value of system in Left half-plane, is all
System is stable；If the characteristic value of RHP, then system is unstable.
In the present invention, the main power source impedance matrix Z of the droop control type power supply compositiondIt is to be obtained by following manner
's：
By calculating or being measured using electric impedance analyzer, droop control type power supply is obtained from the 1st to i-th section
The output impedance Z of pointd1~Zdi；
Then the impedance matrix of main power source is builtZd：
Wherein, n is system node number,iIt is all droop control type power supply numbers in system；Without loss of generality, it is assumed that i
Droop control type power supply is to be connected on node 1 to node i.
In the present invention, the admittance matrix Y of the current-control type power supply, constant current load and constant power load compositioncIt is
Calculated and obtained by following manner：
Measured by calculating or electric impedance analyzer, obtain the current-control type from i+1 node to the i-th+j nodes
The output admittance Y of power supplyc(i+1)~Yc(i+j), from the i-th+j+1 nodes to the constant current of the i-th+j+k nodes load input admittance
Yc(i+j+1)~Yc(i+j+k)With the input admittance Y from the i-th+j+k+1 nodes to the constant power load of the n-th nodec(i+j+k+1)~Ycn；
Then the admittance matrix Y of current-control type power supply, constant current load and constant power load composition is builtc：
Wherein, i is that all droop control type power supply numbers, j are current-control type power supply numbers in system, and k is constant current
Load number, Ii×iIt is i rank unit diagonal matrix；Without loss of generality, it is assumed that j current-control type power supply be connected on node i+1 to
Node i+j；K constant current load is to be connected on node i+j+1 to node i+j+k；Remaining node i+j+k+1 to node n is connected in
Constant power load.
In the present invention, the system node admittance matrixYnetIt is to calculate to obtain by following manner：
(1) by calculating or being measured using electric impedance analyzer, the resistive load admittance Y on each node is obtainedLm
(m=1~n)；Then resistive load admittance matrix Y is builtL：
(2) constructing system bus admittance matrix Ynet, it is shown below：
Wherein, system node admittance matrix YnetEach element ypq(p, q=1~n) is obtained by following manner：
Wherein, rcablepq(p, q=1~n, p ≠ q) is that cable is used in concentration equivalent model between node p and node q
Resistance, Lcablepq(p, q=1~n, p ≠ q) is that cable uses the inductance concentrated in equivalent model between node p and node q,
Ccable pq(p, q=1~n, p ≠ q) is that cable using the electric capacity concentrated in equivalent model, is evenly distributed between node p and node q
On two sides.
Compared with prior art, the solution have the advantages that：
(1) direct current distributed system determination of stability method compatible can consider system node under the reciprocity control model proposed
Between impedance；Stability criteria, without particular requirement, is applicable to radial pattern system, is also applied for loop system, fit to system architecture
It is wide with scope.
(2) decision method is on the premise of each power model homeostasis, only impedance/admittance phase with each power model
Close, corresponding impedance/admittance is the amount for having clear and definite physical significance, without taking individual module into account again during analysis system level stability
Stability, simplify and calculate；And untied with system node admittance matrix with other parts.
(3) the impedance matrix Z of the droop control type power supply composition in the decision methodd, current-control type power supply, constant current
Load and the admittance matrix Y of constant power load compositioncAll it is diagonal matrix, is easy to extend.
(4), can be effective using direct current distributed system determination of stability method under reciprocity control model proposed by the present invention
Analysis is containing impedance between multiple droop control type power supplys, current-control type power supply, constant current load, constant power load, system node
Etc. the stability of complicated direct current distributed system.
By this stability criterion, it can be determined that whether occur that unstability shows in the direct-current grid actual motion of counter structure
As vibration or collapse occurs in straight-flow system if unstability, can not give customer power supply.Electrical Supply And Control Center automatically controls
System can judge accordingly, switch power supply plan rapidly so that system meets impedance stabilization requirement；Meanwhile also by accordingly
Direct-current grid from power network cut out while, introduce other power supply sources, or change the control model of micro battery to regulate and control
Its impedance operator so that system meets stability contorting condition, meets the stable power-supplying of straight-flow system.It is stability contorting that unstability, which judges,
In a key technology, be the premise and foundation for carrying out follow-up stable operation, impedance can also be carried out according to this decision method
It is stable that regulation measure ensures system.
Brief description of the drawings
Fig. 1 is 5 node annular direct current distributed systems.
Fig. 2 is the equivalent circuit of 5 node annular direct current distributed systems.
Embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
(as shown in Figure 1) is described in detail the present invention exemplified by 5 node direct current distributed systems of impedance between node.
There are 2 droop control type power supplys in the direct current distributed system, 1 current-control type power supply, 1 constant current are born
Carry, 1 constant power load；The node that droop control type power supply is connect is node 1 and node 2, and current-control type power supply is connected on section
Point 3, constant current load are connected on node 4, and constant power load is connected on node 5；Connected between each node by cable.Droop control type electricity
Source uses droop control, there is provided voltage support；Current-control type power supply uses current control, and the electric current of control input system is big
It is small；Constant current load absorbs constant current by control from system；Constant power load is absorbed constant by control from system
Power.Wherein v1~v5It is the voltage of 5 nodes；i1~i5It is the electric current that 5 power models inject to node, flows out power mould
Block is positive direction；icable jk(j, k=1~5, j ≠ k) is the cable inductive current between node j and node k, and direction is with accompanying drawing 1
Shown in be positive direction, no current when being not attached between node, such as node 1 and node 3, node 2 and node 5.
From the perspective of impedance analysis, even if control performance is fine when each power supply and individually designed constant power load,
It can guarantee that respective stability.But the interaction of complexity will be produced after access system, the stability of a system will reduce.This hair
It is bright steady come analysis system to each power supply, constant power load constant power module progress Dai Weinan/Norton equivalent using unit connection method
It is qualitative.Wherein droop control type power supply is equivalent using Dai Weinan, and current-control type power supply use Norton equivalent, constant current load with
Constant power load also uses Norton equivalent.Unit connection method is applied to the system shown in accompanying drawing 1, obtained as shown in Figure 2
Equivalent circuit.Wherein, Zd1~Zd2It is the output impedance of droop control type power supply, Yc3It is the output admittance of current-control type power supply,
Yc4It is the input admittance of constant current load；Yc5It is the input admittance of constant power load.YLi(i=1~5) are on each node
Resistive load admittance.Cable all concentrates equivalent model, r using π typescable12、Lcable12、Ccable12It is node 1 and node respectively
The resistance parameter of cable, inductance parameters, distributed capacitance parameter between 2；rcable23、Lcable23、Ccable23It is node 2 and section respectively
The resistance parameter of cable, inductance parameters, distributed capacitance parameter between point 3；rcable34、Lcable34、Ccable34It is the He of node 3 respectively
The resistance parameter of cable, inductance parameters, distributed capacitance parameter between node 4；rcable45、Lcable45、Ccable45It is node 4 respectively
The resistance parameter of cable, inductance parameters, distributed capacitance parameter between node 5；rcable51、Lcable51、Ccable51It is node respectively
The resistance parameter of cable, inductance parameters, distributed capacitance parameter between 5 and node 1.v1ref、v2reF is droop control type power supply
Reference voltage, i3refIt is the reference current of current-control type power supply, i4refBe constant current load reference current, i5reF is permanent work(
The reference voltage of rate load.Gi(i=1~5) are the closed loop transfer function,s that each power model is referenced to output.
The droop control type power supply at node 1 and node 2 is measured by calculating or electric impedance analyzer, under acquisition
The output impedance Z of vertical control type power supplyd1、Zd2, build the impedance matrix Z of main power sourced：
Obtain the current-control type power supply output admittance Y of node 3 respectively by calculating or electric impedance analyzerc3, node 4
The input admittance Y of constant current loadc4And the input admittance Y of the constant power load of node 5c5, structure current-control type power supply,
Constant current loads and the admittance matrix Y of constant power load compositionc：
The resistive load admittance Y obtained on each node is measured by calculating or electric impedance analyzerLi(i=1~
5) resistive load admittance matrix Y, is builtL：
Constructing system bus admittance matrix Ynet, it is shown below：
Wherein, system node admittance matrix YnetEach element yij(i, j=1~5) are obtained by following manner：
The impedance matrix Z that droop control type power supply obtained above is formedd, current-control type power supply, constant current load
With the admittance matrix Y of constant power load compositionc, resistive load admittance matrix YLWith system node admittance matrix YnetBring stability into
Criterion T=det (Yc+Zd(YL+Ynet))=0.Computational stability criterion T is the characteristic value for the system that can obtain, if the spy of system
Value indicative is all in Left half-plane, then system is stable；If the characteristic value of RHP, then system is unstable.
Claims (4)
1. a kind of determination of stability method of direct current distributed system under reciprocity control model, it is characterised in that including following steps
Suddenly：
(1) range site connection method is entered to droop control type power supply, current-control type power supply, resistive load and constant power load
Row Dai Weinan/Norton equivalent, by calculating or being measured using electric impedance analyzer, obtain respective impedance or admittance；Structure
Build the main power source impedance matrix Z of droop control type power supply compositiond, and the load of current-control type power supply, constant current and invariable power
Load the admittance matrix Y of compositionc；
(2) the resistive load admittance of each node is obtained by calculating or electric impedance analyzer, builds resistive load admittance matrix
YL；According to cable parameter between node, constructing system bus admittance matrix Ynet；
(3) the main power source impedance matrix Z for forming droop control type power supplyd, current-control type power supply, constant current load and permanent work(
The admittance matrix Y of rate load compositionc, resistive load admittance matrix YLWith system node admittance matrix YnetBring stability criteria T into,
Stability criteria T is shown below：
T=det (Yc+Zd(YL+Ynet))=0
Wherein, det is the function that determinant is asked for matrix；
Computational stability criterion T obtains the characteristic value of system；If the characteristic value of system is all steady in Left half-plane, system
It is fixed；If the characteristic value of RHP, then system is unstable.
2. according to the method for claim 1, it is characterised in that the main power source Impedance Moment of the droop control type power supply composition
Battle array ZdIt is to be obtained by following manner：
By calculating or being measured using electric impedance analyzer, droop control type power supply is obtained from the 1st to i-th node
Output impedance Zd1~Zdi；
Then the impedance matrix Z of main power source is builtd：
Wherein, n is system node number, and i is all droop control type power supply numbers in system；Without loss of generality, it is assumed that i sagging
Control type power supply is to be connected on node 1 to node i.
3. according to the method for claim 1, it is characterised in that the current-control type power supply, constant current load and permanent work(
The admittance matrix Y of rate load compositioncIt is to calculate to obtain by following manner：
Measured by calculating or electric impedance analyzer, obtain the current-control type power supply from i+1 node to the i-th+j nodes
Output admittance Yc(i+1)~Yc(i+j), from the i-th+j+1 nodes to the constant current of the i-th+j+k nodes load input admittance Yc(i+j+1)
~Yc(i+j+k)With the input admittance Y from the i-th+j+k+1 nodes to the constant power load of the n-th nodec(i+j+k+1)~Ycn；
Then the admittance matrix Yc of current-control type power supply, constant current load and constant power load composition is built：
Wherein, i is all droop control type power supply numbers in system, and j is current-control type power supply number, and k is constant current load
Number, Ii×iIt is i rank unit diagonal matrix；Without loss of generality, it is assumed that j current-control type power supply is to be connected on node i+1 to node
i+j；K constant current load is to be connected on node i+j+1 to node i+j+k；Remaining node i+j+k+1 to node n is connected in permanent work(
Rate loads.
4. according to the method for claim 1, it is characterised in that the system node admittance matrix YnetIt is by following sides
Formula, which calculates, to be obtained：
(1) by calculating or being measured using electric impedance analyzer, the resistive load admittance Y on each node is obtainedLm(m=1
~n)；Then resistive load admittance matrix Y is builtL：
(2) constructing system bus admittance matrix Ynet, it is shown below：
Wherein, system node admittance matrixYnetEach element ypq(p, q=1~n) is obtained by following manner：
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| 胡辉勇等: ""主从控制下直流为电网稳定性分析及有源阻尼控制方法"", 《电网技术》 * |
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