CN109193663A - Meter and power generation automatically control the tidal current computing method and system that imbalance power is shared - Google Patents
Meter and power generation automatically control the tidal current computing method and system that imbalance power is shared Download PDFInfo
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- CN109193663A CN109193663A CN201811001731.2A CN201811001731A CN109193663A CN 109193663 A CN109193663 A CN 109193663A CN 201811001731 A CN201811001731 A CN 201811001731A CN 109193663 A CN109193663 A CN 109193663A
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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
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
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Abstract
The invention discloses a kind of meters and power generation to automatically control the tidal current computing method and system that imbalance power is shared.Wherein this method comprises: distributed equalization point is included in the Continuation Power Flow Model with unique balance nodes to distribute imbalance power, the Continuation Power Flow Model with distributed balance nodes is constructed；The power flow increment of node each in electric power networks and the product of the active power change rate with power flow increment variation are added in active power balance equation；The power flow increment of node each in electric power networks and the product of the reactive power change rate with power flow increment variation are added in reactive power equilibrium equation；And then obtain the improvement Continuation Power Flow Model with distributed balance nodes；The improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.It is able to solve the problem of load margin, improves the accuracy and reliability of Voltage stability analysis result.
Description
Technical field
The invention belongs to the operating analysis fields of Power System Interconnection power grid more particularly to a kind of meter and power generation to automatically control
The tidal current computing method and system that imbalance power is shared.
Background technique
One vital task of electrical power system analysis and computing is to estimate the maximum power of the safe transmission from power supply to load.
During estimating the maximum power of the safe transmission from power supply to load, all types of power transmission limitations are considered as,
Such as security of system, reliability and stability.Spread of voltage event take place frequently increase highlight check voltage stability must
The property wanted.For the complexity and diversity of the dynamic behaviour of the facility in electric system, static electric voltage stability analysis method, still
So have the advantages that some specific.
Method of traditional Load flow calculation as system mode is encountering saddle-node bifurcation point (Saddle Node
Bifurcation, SNB) when will appear numerical value ill-conditioning problem.Therefore, continuous tide (continuation power flow,
CPF it) proposes using alternately prediction correction and solves parametrization power flow equation, so that in saddle-node bifurcation point and limit-induced bifurcation
There is good convergence at point.Furthermore, it is also proposed that the CPF model suitable for distribution system.Due to continuously improving step-length control
System and parametric technology, CPF model can be used for network analysis and have good effect.
In traditional Load flow calculation, the system power imbalance between given power demand and power generation is unique by one
Balance nodes processing, so that fixed voltage amplitude and voltage phase angle be presented.In practical power systems operation, system frequency variation
Imbalance power be actually to be provided by multiple distributed nodes.It is distributed to ignore band in traditional CPF model calculates
Balance nodes DSB (Distributed Slack Bus, DSB) may will affect CPF model in this way and calculate associated static voltage
The load margin for stablizing SVS (Static Voltage Stability), thereby reduces the essence of Voltage stability analysis result
True property and reliability.
Summary of the invention
In order to solve the deficiencies in the prior art, the first object of the present invention is to provide a kind of meter and the automatic control that generates electricity is uneven
The tidal current computing method shared of weighing apparatus power, improves the essence of Voltage stability analysis result at the problem of being able to solve load margin
True property and reliability.
The tidal current computing method that a kind of meter of the invention and the automatic control imbalance power that generates electricity are shared, comprising:
Distributed equalization point is included in the Continuation Power Flow Model with unique balance nodes to distribute imbalance power, is constructed
Continuation Power Flow Model out with distributed balance nodes；
By the product of the power flow increment of node each in electric power networks and the active power change rate with power flow increment variation
It is added in active power balance equation；By the power flow increment of node each in electric power networks and the idle function with power flow increment variation
The product of rate change rate is added in reactive power equilibrium equation；And then obtain the improvement continuous tide mould with distributed balance nodes
Type；
The improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.
Further, have the Continuation Power Flow Model of unique balance nodes by the reactive balance equation and PV of PQ node
The active power balance equation of bus and PQ bus composition.
Further, Continuation Power Flow Model with distributed balance nodes by PQ node reactive balance equation and PV
In the active power balance equation of bus and PQ bus add up electric power networks in each node imbalance power level with not
The product term of the power partition coefficient of balance forms.
Further, the improvement continuous tide mould with distributed balance nodes is being solved using iteration predictive control algorithm
During type, school is carried out for the solution value of the improvement Continuation Power Flow Model with distributed balance nodes of every one-step prediction
Just, and by the predicted value after correction it is iterated again, to improve the accuracy of solution value.
Further, during being iterated the predicted value after correction again, adjust automatically iteration step length.
The second object of the present invention is to provide the Load flow calculation system that a kind of meter and the automatic control imbalance power that generates electricity are shared
System.
A kind of meter of the invention and power generation automatically control the load flow calculation system that imbalance power is shared, including memory and
Processor；The processor is configured to executing following steps:
Distributed equalization point is included in the Continuation Power Flow Model with unique balance nodes to distribute imbalance power, is constructed
Continuation Power Flow Model out with distributed balance nodes；
By the product of the power flow increment of node each in electric power networks and the active power change rate with power flow increment variation
It is added in active power balance equation；By the power flow increment of node each in electric power networks and the idle function with power flow increment variation
The product of rate change rate is added in reactive power equilibrium equation；And then obtain the improvement continuous tide mould with distributed balance nodes
Type；
The improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.
Further, have the Continuation Power Flow Model of unique balance nodes by the reactive balance equation and PV of PQ node
The active power balance equation of bus and PQ bus composition.
Further, Continuation Power Flow Model with distributed balance nodes by PQ node reactive balance equation and PV
In the active power balance equation of bus and PQ bus add up electric power networks in each node imbalance power level with not
The product term of the power partition coefficient of balance forms.
Further, the processor is also configured to
In the process for solving the improvement Continuation Power Flow Model with distributed balance nodes using iteration predictive control algorithm
In, the solution value of the improvement Continuation Power Flow Model with distributed balance nodes of every one-step prediction is corrected, and will
Predicted value after correction is iterated again, to improve the accuracy of solution value.
Further, the processor is also configured to during being iterated the predicted value after correction again,
Adjust automatically iteration step length.
Compared with prior art, the beneficial effects of the present invention are:
The present invention is based on Continuation Power Flow Model, correction iterative process and generator reactive deposit are introduced, and then in continuous tide
Adjust automatically step-length during stream calculation, and distributed balance nodes are included in calculating, solve traditional continuous tide
Continuation Power Flow Model may be will affect with distributed balance nodes by, which ignoring in model calculating, calculates the negative of associated static voltage stabilization
The problem of carrying nargin, the present invention provides more accurate and reliable analysis result for load margin.
Detailed description of the invention
The accompanying drawings constituting a part of this application is used to provide further understanding of the present application, and the application's shows
Meaning property embodiment and its explanation are not constituted an undue limitation on the present application for explaining the application.
Fig. 1 is the tidal current computing method flow chart that a kind of meter and the automatic control imbalance power that generates electricity are shared.
Fig. 2 is the tidal current computing method embodiment detailed process that a kind of meter and the automatic control imbalance power that generates electricity are shared
Figure.
Fig. 3 is 5 bus test system figure of IEEE.
Fig. 4 is the load margin of various imbalance power distribution coefficients.
Specific embodiment
It is noted that following detailed description is all illustrative, it is intended to provide further instruction to the application.Unless another
It indicates, all technical and scientific terms used herein has usual with the application person of an ordinary skill in the technical field
The identical meanings of understanding.
It should be noted that term used herein above is merely to describe specific embodiment, and be not intended to restricted root
According to the illustrative embodiments of the application.As used herein, unless the context clearly indicates otherwise, otherwise singular
Also it is intended to include plural form, additionally, it should be understood that, when in the present specification using term "comprising" and/or " packet
Include " when, indicate existing characteristics, step, operation, device, component and/or their combination.
One, it counts and generates electricity and automatically control the tidal current computing method that imbalance power is shared
Fig. 1 is the tidal current computing method flow chart that a kind of meter and the automatic control imbalance power that generates electricity are shared.
As shown in Figure 1, the tidal current computing method that a kind of meter of the invention and the automatic control imbalance power that generates electricity are shared, packet
It includes:
Step 1: distributed equalization point being included in the Continuation Power Flow Model with unique balance nodes to distribute uneven function
Rate constructs the Continuation Power Flow Model with distributed balance nodes；
Step 2: by the power flow increment of node each in electric power networks and the active power change rate with power flow increment variation
Product be added active power balance equation in；By the power flow increment of node each in electric power networks and with power flow increment variation
The product of reactive power change rate is added in reactive power equilibrium equation；And then it is continuous to obtain the improvement with distributed balance nodes
Tide model；
Step 3: the improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.
Imbalance power is automatically controlled below come the next meter that the present invention will be described in detail and power generation in conjunction with specific embodiments to share
Tidal current computing method, it is specific as shown in Figure 2:
1. traditional tide model
Firstly, traditional power flow equation with unique balance nodes can be expressed as (1), the equation by PQ node nothing
The active power balance equation of function equilibrium equation and PV and PQ bus composition.The sum of electric power networks bus is arranged to N, wherein
The number of PV bus is M.
It therefore, should include 2N-M-2 equation in (1).
V=[V1 V2…VN-m-1] (2)
θ=[θ1 θ2…θN-1] (3)
Wherein,WithRespectively indicate the generator active power and load active power of node i；WithTable respectively
Show the generator reactive power and reactive load power of node i；PiIndicate the injection active power of node i；QiIndicate node i
Inject reactive power；Function f indicates active or reactive power equilibrium equation；PQ node is indicated by the N-m-1 dimensional vector that (2) indicate
Voltage magnitude；The voltage phase angle of PV and PQ node is indicated by the N-1 dimensional vector that (3) indicate.
Function pi() and qiThe detailed expressions of () are as follows:
Wherein: piThe active power balance equation of () expression node；qiThe reactive power equilibrium side of () expression node
Journey；θijIt is node voltage ViAnd VjBetween phase angle；GiiAnd BiiIt is the self-conductance of node i and from susceptance respectively；GijAnd BijRespectively
It is the transconductance and mutual susceptance between node i and node j.
2. the tide model with distributed balance nodes (DSB)
One group of additional parameter A is introduced, as shown in formula (6), wherein αiFor indicating unbalanced power partition coefficient.
Once the unbalanced power partition coefficient in A provides, they are fixed in entire trend and CPF calculating process
's.Also, these parameters and be equal to 1.
Therefore, the relationship provided in (7) has been obtained, wherein introducing parameter μ to indicate the level of imbalance power.
Improved load uncertainty formula can be expressed as (8).
Particularly, fNThe active power balance equation for indicating conventional balanced node, in traditional Load flow calculation formula
It is ignored.
Therefore, the compact form of (8) is as follows:
Wherein: X represents the set of all unknown V, θ, μ.
In order to solve (9), Newton iteration format is established, such as shown in (10).
Wherein
Wherein (k) and (k+1) indicates the counting of iterative step, matrix JPFIndicate the Jacobian matrix in (9).For newton
Iterative calculation, it is as follows that known variables can be initialized to " flat starting ":
Lower relation of plane can be used to confirm the convergence of (9):
||f(X(kc))||∞≤ε (13)
Wherein, ε is the small positive number provided in advance；kcIndicate that the convergent step-length of iterative process counts.
3. the improvement Continuation Power Flow Model with DSB
1) imbalance power breadth coefficient continuous tide equation is had
According to the Load flow calculation formula of DSB, the parameter expression of formula (14) can derive that formula is as follows:
It can be briefly described by following formula are as follows:
In (14), λ indicates the increment of trend；K1~KnIt is the active power change rate changed with λ, has been referred to as
Function power growth factor；Kn+1~K2n-mIt is the reactive power change rate changed with λ, is referred to as reactive power growth factor.
Therefore, the power growth pattern that continuous tide calculates can indicate are as follows:
Datum mark (λ=0) is derived from calculation of tidal current.
As λ increases, the solution of (14) constantly changes, until reaching the critical nargin (μ=μ of loadc, λ=λc)。
Parameter K indicates that power growing direction, each node should provide before continuous tide calculating.
2) it predicts
During prediction, future position (approximate solution of initialization corrector) can be generated by (17):
Ypre=Ybase+σdY (17)
Wherein YbaseIt is the solution of previous corrector (for first prediction aligning step, YbaseWith calculation of tidal current into
Row initialization)；σ expression represents step-length control coefrficient；DY is tangent vector, can be acquired with (18).Work as dY, the last one member of d λ
When element changes from positive to negative, which acquires saddle-node bifurcation point.
Wherein, esA row vector is represented, one of element is 1, and other elements are 0.
esSubscript parameters s be to be obtained according to the relationship in (19).
The first step, s should be initialized by 2N-m+1.
S=s | | dys|=| | dY | |∞} (19)
(18) coefficient matrix shown in elaborates in (20).
The element of matrix can be obtained by following relationship:
3) it corrects
Correction course is attempted to seek check point by using the starting point of fallout predictor and the calculated result of (22).
Wherein, ysIndicate the value of some node；Indicate the predicted value of the node.
The newton iteration equation of formula (22) are as follows:
Wherein
Moreover, Y(0)Value should use YpreInitialization.
Following inequality is used to prove the convergence of (23):
||G(Y(kc))||∞≤ε (25)
Wherein, ε is the small positive number provided in advance.
When the reactive power of PV node is more than to prescribe a time limit thereon, due to lacking reactive power support, node type is forced to convert
For PQ node.Meanwhile the bus voltage amplitude becomes a variable, reactive power equilibrium equation takes part in CPF formula.
Therefore, after corrector iteration convergence, distinguish whether PV node reaches nothing using the relationship provided in (26)
The function power output upper limit.
δe=min { δi| i=N-m+1, N-m+2 ..., N } > 0 (26)
Wherein
δiIndicate the generator rotor angle of i-node；δeIndicate generator rotor angle minimum value in all nodes；It is in the idle power output of node i
Limit.In turn, it can identify the PV node beyond the upper limit by additional equation shown in (28) and switch to PQ type.
Wherein,Indicate the generator active power of node e.
In addition, calculation procedure should return to the supplement iterative equation of (23) after node type conversion.
The schematic diagram of 5 bus testing system of IEEE is especially sent out as shown in figure 3, it illustrates the structure and parameter of system
The reactive power compensation of motor node limits.This simple situation, which allows people to study between the two nodes, to be had arbitrarily not
The μ when power distribution of balancecAnd λc.Assuming that the electric load of node 4 will increase, to meet the novel mfg built
Energy demand.
Meanwhile in order to meet the load growth demand of node 4, a kind of selection scheme is that new power supply is injected into network
In.The feasibility of this scheme has depended on whether that enough active power effectively can be transferred to node 4 from node 1, this is needed
Carry out load margin analysis.The power growth factor for carrying out computational load nargin is obtained by the CPF model proposed, such as 1 institute of table
Show.
1 power growth factor of table
Since only there are two generator nodes in 5 bus test system of IEEE, it is assumed that they have been involved in imbalance
Power distribution.Therefore, unbalanced power partition coefficient is indicated by the relationship provided in (7).
α4+α5=1 (29)
With α4Increase, the imbalance power distribution coefficient α of node 55It can be reduced automatically according to the constraint in (29).
The result of load margin will change according to the variation of imbalance power distribution coefficient.Utilize proposed CPF formula that can obtain
To the μ for corresponding to different imbalance power distribution coefficientscAnd λc.As shown in figure 4, the variation of imbalance power distribution can significant shadow
Ring load margin.
α4Indicate the imbalance power distribution coefficient of generator node 4.Work as α4=0 and α5When=1, μcAnd λcReach minimum
Value.When generator node 5 plays a major role in unbalanced power distribution, which means to pass electric power from node 4
The defeated effect to node 1 is undesirable.
But work as α4=0.7074 and α5When=0.2926, μcAnd λcReach maximum.Therefore, the results showed that in view of static state
Under the premise of voltage stability, the maximization of power transmission is may be implemented in best imbalance power allocation factor.In addition, utilizing table
The power Growth Route provided in 1, regardless of imbalance power distribution condition, the type of load margin is not limited.Work as α4<
0.7074 and α5When > 0.2926, corresponding to the shadow region in Fig. 3, the reactive power at node 4 reaches limitation and occurs to force to turn
It changes.By the reactive power limitation at detection node 5, other imbalance power allocation factors are set.
To sum up, the present invention proposes to consider the CPF model of imbalance power distribution coefficient, to assess due to unknown and in tradition
The error introduced in calculated result.The present invention is based on Continuation Power Flow Models, introduce correction iterative process and generator reactive deposit,
And then the adjust automatically step-length in continuous tide calculating process, and distributed balance nodes are included in calculating, solve biography
Continuation Power Flow Model calculating associated static may be will affect by ignoring the distributed balance nodes of band in the Continuation Power Flow Model calculating of system
The problem of load margin of voltage stabilization, the present invention provide more accurate and reliable analysis result for load margin.
Two, it counts and generates electricity and automatically control the load flow calculation system that imbalance power is shared
The present invention also provides a kind of meters and power generation to automatically control the load flow calculation system that imbalance power is shared.
A kind of meter of the invention and power generation automatically control the load flow calculation system that imbalance power is shared, including memory and
Processor.
The processor is configured to step as shown in Figure 1 is executed, specifically:
(1) distributed equalization point is included in the Continuation Power Flow Model with unique balance nodes to distribute imbalance power,
Construct the Continuation Power Flow Model with distributed balance nodes；
Wherein, have the Continuation Power Flow Model of unique balance nodes by the reactive balance equation and PV bus of PQ node
It is formed with the active power balance equation of PQ bus.
Continuation Power Flow Model with distributed balance nodes is female by the reactive balance equation and PV bus and PQ of PQ node
In the active power balance equation of line add up electric power networks in each node imbalance power level with unbalanced power
The product term of distribution coefficient forms.
(2) multiplying the power flow increment of node each in electric power networks and the active power change rate that changes with power flow increment
Product is added in active power balance equation；By the power flow increment of node each in electric power networks with change with power flow increment it is idle
The product of power variation rate is added in reactive power equilibrium equation；And then obtain the improvement continuous tide with distributed balance nodes
Model；
(3) the improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.
In specific implementation, the processor is also configured to
In the process for solving the improvement Continuation Power Flow Model with distributed balance nodes using iteration predictive control algorithm
In, the solution value of the improvement Continuation Power Flow Model with distributed balance nodes of every one-step prediction is corrected, and will
Predicted value after correction is iterated again, to improve the accuracy of solution value.
The processor is also configured to during being iterated the predicted value after correction again, adjust automatically
Iteration step length.
The present invention is based on Continuation Power Flow Model, correction iterative process and generator reactive deposit are introduced, and then in continuous tide
Adjust automatically step-length during stream calculation, and distributed balance nodes are included in calculating, solve traditional continuous tide
Continuation Power Flow Model may be will affect with distributed balance nodes by, which ignoring in model calculating, calculates the negative of associated static voltage stabilization
The problem of carrying nargin, the present invention provides more accurate and reliable analysis result for load margin.
Above-mentioned, although the foregoing specific embodiments of the present invention is described with reference to the accompanying drawings, not protects model to the present invention
The limitation enclosed, those skilled in the art should understand that, based on the technical solutions of the present invention, those skilled in the art are not
Need to make the creative labor the various modifications or changes that can be made still within protection scope of the present invention.
Claims (10)
1. a kind of meter and power generation automatically control the tidal current computing method that imbalance power is shared characterized by comprising
Distributed equalization point is included in the Continuation Power Flow Model with unique balance nodes to distribute imbalance power, constructs band
The Continuation Power Flow Model of distributed balance nodes；
The power flow increment of node each in electric power networks and the product of the active power change rate with power flow increment variation are added
In active power balance equation；The power flow increment of node each in electric power networks is become with the reactive power with power flow increment variation
The product of rate is added in reactive power equilibrium equation；And then obtain the improvement Continuation Power Flow Model with distributed balance nodes；
The improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.
2. a kind of meter as described in claim 1 and power generation automatically control the tidal current computing method that imbalance power is shared, special
Sign is that the Continuation Power Flow Model with unique balance nodes is female by the reactive balance equation and PV bus and PQ of PQ node
The active power balance equation of line forms.
3. a kind of meter as claimed in claim 2 and power generation automatically control the tidal current computing method that imbalance power is shared, special
Sign is that the Continuation Power Flow Model with distributed balance nodes is female by the reactive balance equation and PV bus and PQ of PQ node
In the active power balance equation of line add up electric power networks in each node imbalance power level with unbalanced power
The product term of distribution coefficient forms.
4. a kind of meter as described in claim 1 and power generation automatically control the tidal current computing method that imbalance power is shared, special
Sign is, in the process for solving the improvement Continuation Power Flow Model with distributed balance nodes using iteration predictive control algorithm
In, the solution value of the improvement Continuation Power Flow Model with distributed balance nodes of every one-step prediction is corrected, and will
Predicted value after correction is iterated again, to improve the accuracy of solution value.
5. a kind of meter as claimed in claim 4 and power generation automatically control the tidal current computing method that imbalance power is shared, special
Sign is, during the predicted value after correction is iterated again, adjust automatically iteration step length.
6. a kind of meter and power generation automatically control the load flow calculation system that imbalance power is shared, which is characterized in that including memory
And processor；The processor is configured to executing following steps:
Distributed equalization point is included in the Continuation Power Flow Model with unique balance nodes to distribute imbalance power, constructs band
The Continuation Power Flow Model of distributed balance nodes；
The power flow increment of node each in electric power networks and the product of the active power change rate with power flow increment variation are added
In active power balance equation；The power flow increment of node each in electric power networks is become with the reactive power with power flow increment variation
The product of rate is added in reactive power equilibrium equation；And then obtain the improvement Continuation Power Flow Model with distributed balance nodes；
The improvement Continuation Power Flow Model with distributed balance nodes is solved using iteration predictive control algorithm.
7. a kind of meter as claimed in claim 6 and power generation automatically control the load flow calculation system that imbalance power is shared, special
Sign is that the Continuation Power Flow Model with unique balance nodes is female by the reactive balance equation and PV bus and PQ of PQ node
The active power balance equation of line forms.
8. a kind of meter as claimed in claim 7 and power generation automatically control the load flow calculation system that imbalance power is shared, special
Sign is that the Continuation Power Flow Model with distributed balance nodes is female by the reactive balance equation and PV bus and PQ of PQ node
In the active power balance equation of line add up electric power networks in each node imbalance power level with unbalanced power
The product term of distribution coefficient forms.
9. a kind of meter as claimed in claim 6 and power generation automatically control the load flow calculation system that imbalance power is shared, special
Sign is that the processor is also configured to
It is right during solving the improvement Continuation Power Flow Model with distributed balance nodes using iteration predictive control algorithm
It is corrected in the solution value of the improvement Continuation Power Flow Model with distributed balance nodes of every one-step prediction, and will be after correction
Predicted value be iterated again, to improve the accuracy of solution value.
10. a kind of meter as claimed in claim 9 and power generation automatically control the load flow calculation system that imbalance power is shared, special
Sign is that the processor is also configured to during being iterated the predicted value after correction again, and adjust automatically changes
It rides instead of walk length.
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| CN110854853A (en) * | 2019-12-02 | 2020-02-28 | 山东大学 | Generating method and system for starting scheme of generator set |
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Application publication date: 20190111 |