CN107508283A - A kind of distributed power source operation domain method for solving based on affine arithmetic - Google Patents
A kind of distributed power source operation domain method for solving based on affine arithmetic Download PDFInfo
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- CN107508283A CN107508283A CN201710692880.7A CN201710692880A CN107508283A CN 107508283 A CN107508283 A CN 107508283A CN 201710692880 A CN201710692880 A CN 201710692880A CN 107508283 A CN107508283 A CN 107508283A
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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
-
- 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
-
- 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
- H02J3/26—Arrangements for eliminating or reducing asymmetry in polyphase networks
-
- 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
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/50—Arrangements for eliminating or reducing asymmetry in polyphase networks
Abstract
The invention discloses a kind of distributed power source based on affine arithmetic to run domain method for solving, suitable for three-phase imbalance power distribution network, for calculating the set for the DG operating points for meeting safe operation constraints.Linear approximation expression formula of the node voltage on DG uncertain variables is asked for first with the Load flow calculation based on affine arithmetic, then the constraintss such as the safe range of feeder line capacity, reversal tidal current and voltage expression are considered, the Optimization Solution model in the distributed power source operation domain of three-phase imbalance power distribution network is built, then asks for the operation domain border of DG in power distribution network.The present invention is the solution based on Optimized model, with higher solving precision, computational efficiency can be greatly improved, applicability is wide, its linear constraints applies also for other optimization operation, control fields of power distribution network, to solve problem caused by more high Uncertainty distribution formula plant-grid connections.
Description
Technical field
The invention belongs to distribution network operation control technology field, more particularly to a kind of distributed power source based on affine arithmetic
Run domain method for solving.
Background technology
Power distribution network security domain is defined as the collection for the operating point that power distribution network makes all main transformers be satisfied by N-1 criterions in operation
Close, at present, the security domain research of distributed power source (Distributed Generation, DG) access is still at an early stage,
The a certain DG output upper limit can only be calculated, the boundary information in whole domain can not be obtained.
Run that the concept in domain is with the Research Significance of power distribution network security domain close, refer both to meter and trend it is safe can Operational Zone
Domain, it is contemplated that power distribution network is mostly radial distribution networks, does not possess the load transfer ability after N-1, therefore generate guarantee power distribution network
The concept in the DG operations domain of N-0 safety.
The method for solving operation domain at present belongs to heuristic, i.e., the position of a given distributed power source and capacity, calculates
Voltage's distribiuting and system short-circuit electric current under various load levels, gradually increase DG and contribute, above-mentioned calculating is repeated, until distribution
Untill formula power supply capacity can not be further added by, such a method computational efficiency is low and is dfficult to apply in Optimized model as constraint bar
Part.
The content of the invention
Goal of the invention：For problem above, the present invention proposes that a kind of distributed power source operation domain based on affine arithmetic is asked
Solution method, applied to three-phase imbalance power distribution network, this method can obtain multiple DG and completely run domain, with traditional heuristic phase
Than this method belongs to optimized algorithm, has computational efficiency high, applicability is wide, can be applied to the advantage of Optimized model.
Technical scheme：To realize the purpose of the present invention, the technical solution adopted in the present invention is：A kind of distributed power source fortune
Row domain method for solving, specifically includes following steps：
(1) n-1 output variable of distributed power source operating point is directed to since minimum value, with a fixed step size value；It is right
Another distributed power source operating point, output scope are represented with affine number；
(2) linear approximation power flow algorithm, the affine expression formula of solution node voltage are utilized；
(3) the most value of calculate node voltage magnitude, compared with safe voltage bound, enters if Rule of judgment is met
Row step (4), it is unsatisfactory for Rule of judgment then return to step (1)；
(4) Optimized model in operation domain is established；
(5) solving-optimizing model, show that a series of power are most worth, be fitted to DG operation domain border.
Beneficial effect：The inventive method is applied to three-phase imbalance power distribution network, is eliminated by linear approximation and is removed by affine
The interval extension problem that method computing is brought, to accurately calculate quantifying between each node voltage and each distributed power source output
Relation, power distribution network is can obtain further according to constraintss such as DG output scope, node voltage amplitude, feeder line capacity and reversal tidal currents
In multiple related DG completely run domain.
The inventive method belongs to optimized algorithm, and compared with the heuristic of traditional point-by-point formula, its computational efficiency is far above exploration
Method；The inventive method is established based on Optimized model, and its linear constraints can not only apply the calculating in operation domain, can also apply
It is wide in other Optimized models, applicability.
Brief description of the drawings
Fig. 1 is that method of the present invention solves flow chart；
Fig. 2 is circular arc approximation method schematic diagram.
Embodiment
Technical scheme is further described with reference to the accompanying drawings and examples.
It is that method of the present invention solves flow chart as shown in Figure 1, specifically includes following steps：
Step (1)：In the range of DG outputs, to n-1 variable of n DG operating point since minimum load value, with one
Fixed step size takes a series of values, and another DG operating point is represented output scope with affine number.
The Conservative Property that can effectively solve to bring in section using affine arithmetic.If i-nodeIt is connected and is distributed formula electricity
Source, its active power output are：
In formula,For the lower limit of distributed power source active power output；For the upper limit of distributed power source active power output.
It need to meet to constrain as follows for any distributed power supply its active reactive output：
p2+q2≤S2
Being translated into affine form is：
In formula,
Step (2)：The affine expression formula of solution node voltage in linear approximation power flow algorithm is updated to, ignores higher order term, will
Constant term and first-order perturbation amount separately solve, and both sums are linear representation of the node voltage on DG output undulate quantities.
The injecting power of all nodes of whole power distribution network is represented by fixed component and disturbance component two parts sum
Form：
Wherein,
For any electric power networks, the relation of its node Injection Current and node voltage is as follows：
Wherein, S numbers for slack bus；N is other node sets in addition to slack bus.
By Taylors approximation, current vector can be expressed as form：
Two formulas are merged into cancellation electric current item to obtain：
Wherein,
By constant term, first-order perturbation amount and High-order perturbations amount separate computations, ignore High-order perturbations and measure：
The constant term of voltage is added with first-order perturbation amount, can obtain the linear affine expression formula of node voltage：
In formula,The respectively real and imaginary parts of expression formula.
Step (3)：The most value of the linear representation calculate node voltage magnitude obtained by step (2), with safe voltage
Bound is compared, if the minimum value of all node upper limits is more than safe voltage lower limit and the maximum of lower limit is less than safety electricity
The upper limit is pressed, then carries out step (4), otherwise return to step (1) increases a step-length and continues to calculate.
Step (4)：If judgement meets condition, the Optimized model in operation domain is established, the maximum contributed with DG/small value is mesh
Scalar functions, its constraints include DG units limits, variation constraint, system load flow equality constraint, feeder line capacity-constrained, instead
To trend constraint.
Wherein first three items constraints can be by the amplitude for the voltage linear expression formula tried to achieve in step (1) in safe range
Replace, be shown below：
The inequality constraints is nonlinear restriction, therefore is linearized using circular arc approximation method and Sensitivity Method.Transport first
Its upper limit is linearized with circular arc approximation method, as shown in Fig. 2 being expressed as with inequality：
For bound constrained under voltage, linear approximation is carried out by the method for sensitivity, expression formula is as follows：
In formula,Respectively on active and idle sensitivity matrix.
Thus full linear Optimized model is obtained：
minS2 or min(-S2)
In formula, L is feeder line actual capacity；LmaxFor feeder line rated capacity；L1For feeder line exit actual capacity, the formula table
Show that feeder line outlet trend is not reverse.
Step (5)：Optimized model in solution procedure (4), a series of power drawn are utilized most to be worth, you can be fitted to
DG operation domain border.
Node voltage is expressed as linear representation on distributed power source undulate quantity by the present invention based on affine arithmetic, then
Established according to constraintss such as DG output scope, node voltage amplitude, feeder line capacity and reversal tidal currents and contributed most with DG
Greatly/small Optimized model for target, multiple DG in power distribution network can obtain by the method for this Optimization Solution and completely run domain,
And solve the problems, such as that the low hardly possible of existing method computational efficiency is applied to Optimized model.
Claims (7)
1. a kind of distributed power source runs domain method for solving, it is characterised in that：Specifically include following steps：
(1) n-1 output variable of distributed power source operating point is directed to since minimum value, with a fixed step size value；
(2) linear approximation power flow algorithm, the affine expression formula of solution node voltage are utilized；
(3) the most value of calculate node voltage magnitude, compared with safe voltage bound, is walked if Rule of judgment is met
Suddenly (4), it is unsatisfactory for Rule of judgment then return to step (1)；
(4) Optimized model in operation domain is established；
(5) solving-optimizing model, show that a series of power are most worth, be fitted to DG operation domain border.
2. distributed power source according to claim 1 runs domain method for solving, it is characterised in that：It is right in the step (1)
Another distributed power source operating point, output scope are represented with affine number.
3. distributed power source according to claim 2 runs domain method for solving, it is characterised in that：In the step (1), point
Cloth power supply contribute affine form be：
Wherein,
Wherein,For the lower limit of distributed power source active power output；For the upper limit of distributed power source active power output；For
The rated capacity of distributed power source.
4. distributed power source according to claim 1 runs domain method for solving, it is characterised in that：In the step (2), lead to
The Taylors approximation that trend derived and ignored high-order amount is crossed, the affine expression formula of voltage is calculated by below equation：
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Wherein,Certainty flow solution；For node voltage first-order perturbation amount；S represents slack bus numbering；N is represented except pine
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The affine expression formula of voltage is：
Wherein,The respectively real and imaginary parts of expression formula.
5. distributed power source according to claim 1 runs domain method for solving, it is characterised in that：In the step (3), sentence
Other condition is：If the minimum value of all node upper limits is more than safe voltage lower limit, and the maximum of lower limit is less than in safe voltage
Limit, then step (4) is carried out, otherwise return to step (1) increases a step-length and continues to calculate.
6. distributed power source according to claim 1 runs domain method for solving, it is characterised in that：In the step (4), electricity
The amplitude of pressure linear representation meets inequality constraints, the inequality constraints be it is non-linear, will thereon with circular arc approximation method
Linear approximation is limited, with the method for sensitivity by its lower limit linear approximation, obtains full linear Optimized model.
7. distributed power source according to claim 6 runs domain method for solving, it is characterised in that：The inequality constraints bar
Part includes DG units limits, variation constraint, system load flow equality constraint, feeder line capacity-constrained and reversal tidal current constraint.
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| CN112653174A (en) * | 2020-12-22 | 2021-04-13 | 天津大学 | Operation domain solving method for flexible direct current power distribution network |
| CN113809749A (en) * | 2021-08-31 | 2021-12-17 | 西安理工大学 | Virtual impedance-based particle swarm optimization method for MG (generator) containing droop control DG (distributed generator) |
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Application publication date: 20171222 |