Summary of the invention
Goal of the invention of the present invention is: a kind of online Calculation of Available Transfer Capability method is provided, can reduces amount of calculation, improve computational speed, and can improve the ATC computational accuracy of generator N-1.
To achieve these goals, the technical scheme below the present invention has taked realizes:
A kind of online Calculation of Available Transfer Capability method based on distribution factor may further comprise the steps:
1) basic section obtains, generates: from the EMS of control centre, obtain in real time or the data section under the research mode, the information of online acquisition comprises the operational mode and the measurement of grid equipment parameter, electrical network, forms the basic section that ATC calculates;
2) basic section tidal current calculates: basic section is carried out trend calculate, have only the basic section of convergence just to carry out ATC calculating, if basic section is not restrained, then provide warning information, point out initial section unreasonable, no longer carry out following calculating;
3) branch road is meritorious to the meritorious Calculation of Sensitivity of injecting of node: it is meritorious to the meritorious Sensitivity calculation of injecting of node that the B ' matrix that utilizes trend to calculate the generation of PQ decoupling method carries out branch road;
4) cut-offfing the line fault collection forms: needs are carried out generator node and the load bus (section ATC, interregional ATC can handle equally) that ATC calculates; Utilize its shortest logical path of BFS method search; Be made as fault collection A; Utilize that branch road in the step 3) is meritorious to be injected sensitivity and ask for the cut-off distribution factor of every circuit of fault collection A to all the other circuits of system node is meritorious; Distribution factor is made as fault collection B greater than the circuit of giving set threshold, the union of fault collection A and fault collection B be asked cut-off the line fault collection;
5) calculate to consider that the branch road of frequency modulation characteristic is meritorious to the meritorious sensitivity of generator: during ATC calculating generator N-1 cut-offs under, the variation of each branch road trend when needing calculating generator to cut-off, this just needs to calculate the meritorious sensitivity that generator is gained merit of branch road; When actual motion; Behind the generator outage; The generator trend is not to transfer on the balancing machine of setting; But share in many generators of system and load according to frequency modulation characteristic, so the branch road that step 3) is calculated meritorious to generator meritorious sensitivity rationally revise according to frequency modulation characteristic;
6) calculate point-to-point available transmission capacity: calculating the process of ATC between specified node, promptly is to seek the process that influences transmission capacity available bottleneck branch road between node; If supply node is A, receiving electrical nodes is B, to any transmission of electricity branch road that is moved in the system; Calculate when the power flow on it and be in when allowing the transmission capacity limit value, and specified node (A, the power variation that is allowed on B) is available transmission capacity; When considering circuit N-1, only need to concentrate circuit to cut-off one by one to the fault that obtains in the step 4), calculate its available transmission capacity respectively; Get minimum value at last, in asking for the process of ATC, must consider the energy-conservation power of maximum adjustable of generator simultaneously;
7) available transmission capacity of the important section of calculating: according to the composition of section; Automatically confirm the composition of feeder ear A ' and receiving end B ' generator; Confirm generator set A ' and energy-conservation power of maximum adjustable of B ',, calculate the power variation of permission from the section feeder ear to receiving end with reference to step 6); The power variation that at last node is injected is converted into the power variation of stable cross section, is the available transmission capacity of stable cross section;
8) available transmission capacity between the zoning: according to the definition in zone; Automatically confirm that power supply area A " and receiving electric area B " reaches the composition of interconnection between them; With reference to step 7), calculate permission power variation from regional A " to area B ", be interregional available transmission capacity.
The beneficial effect that the present invention reached:
The present invention utilizes ground state trend section, uses linear distribution factor method to realize that ATC is in line computation.When carrying out ATC in line computation, through confirming the relevant fault collection in quick supply path search and distribution factor quick calculation method, a circuit of only fault being concentrated carries out N-1 to be handled, to reach the purpose that reduces amount of calculation, raising computational speed.When the ATC that carries out generator N-1 calculates, the influence of system's frequency modulation characteristic when considering generator outage, the ATC computational accuracy of raising generator N-1.
Embodiment
In the present invention, disclosed and utilize the sensitivity information computational scheme to cut-off the method for distribution factor.In said step 4), when the ATC that considers circuit N-1 calculates, need computational scheme to cut-off influence to other circuit trend, and the variation of cut-offfing the original sensitivity number in back.And before distribution factor was cut-off in calculating, Calculation of Sensitivity had been accomplished, and like this, can utilize existing sensitivity analysis result to cut-off the calculating of distribution factor.
By the DC power flow equation:
Write formula (1) as matrix form: P=B θ (2)
In the formula (2), P--node injecting power vector;
θ--node voltage phase angle vector;
The imaginary part of B--node admittance matrix.
Write formula (2) as another kind of form: θ=B
-1P (3)
Equally, according to the simplified condition of P-Q decomposition method, can get the branch road power flow equation and be:
Being write formula (4) as matrix form has: P
l=B
lΦ (5)
In the formula (5), P
l--the vector that the meritorious trend of each branch road constitutes;
B
l--the diagonal matrix that each branch road admittance is formed, a way of the system of setting up departments is l, then B
lBe l rank square formation.
Φ--each branch road two ends phase angle difference vector;
If the branch node incidence matrices of network is A, A is the capable n column matrix of l, and wherein, each row is corresponding to a branch road.In the row element of branch road ij correspondence, i classifies 1, the j as and classifies-1 as, and other element all is 0.
Then have: P
l=B
lΦ=B
lA θ=B
lAB
-1P (6)
Can get by formula (6): Δ P
l=B
lAB
-1Δ P (7)
If S=B
lAB
-1, Δ P is then arranged
l=S Δ P, and matrix S is the meritorious sensitivity matrix that node is injected of branch road.Certainly, in Practical Calculation, need to consider the situation of balance node.After selected balance node, need matrix B be removed balance node corresponding row and row, be made as B ' matrix; Remove the corresponding column element of balance node among the incidence matrices A, be made as A ' matrix, then sensitivity matrix becomes:
S′=B
lA′(B′)
-1 (8)
B ' has generated when basic section tidal current calculates, and in the Calculation of Sensitivity process, need not to form once more.And can utilize B ' matrix after the triangle decomposition by column count to the inversion process of B ' matrix, every column count only needs a former generation back substitution, thereby computational speed is very fast.
After sensitivity information calculates end, can use following method to calculate a branch road l fast and cut-off the distribution factor of cut-offfing another branch road k.
If B ' inverse of a matrix matrix is X; Cut-off the first terminal point of branch road and be respectively i, j, suppose that branch road l, k are respectively
to the sensitivity of node i, j and then can be got by formula (8):
Wherein, X
Ii, X
IjFor inverse matrix is a respective element among the X, X
lImpedance for branch road l.Similar getting:
When branch road l cut-offs, the principle of using compensation method, think between node i, the j parallel connection reactance be-X
lParallel branch, regard original system as see into equivalent network from i, j port, as shown in Figure 1, equivalent impedance X then
TWith equivalent power supply θ
0Be respectively:
X
T=X
ii+X
jj-X
ij-X
ji (11)
The active power that flows through on the branch road l when
is for ground state in the formula (12), the active power that then flows through the negative impedance branch road is:
Use has increased injection-Δ P newly in node i
l, node j has increased injection Δ P newly
lCome equivalent branch road l to cut-off influence to other branch road trend of system, when then branch road l cut-offs, the trend variation delta P of branch road k
kFor:
Formula (15) substitution formula (14) can be got:
Branch road l cut-offs branch road k is cut-off distribution factor D
K-lBe:
Like this, according to the sensitivity information that has calculated, utilize formula (17) just can calculate of the cut-off distribution factor of arbitrary branch breaking fast to the meritorious trend of another branch road.Certainly; When being 1.0, formula (17) can't be calculated as
.In fact, this branch breaking of this situation explanation will cause system splitting.
In the present invention, the line fault collection that cut-offs that has disclosed a kind of ATC of being applied to calculating is confirmed method automatically.In said step 4), when the ATC that considers circuit N-1 calculates, need not carry out N-1 and cut-off simulation all circuits in the model, cut-off simulation and only need carry out N-1 to the tighter circuit of object association that carries out ATC calculating.When confirming related tighter sets of lines with calculating object; The present invention at first utilize the BFS decision search from supply terminals to the shortest logical path that receives electricity point; Be made as fault collection A; Calculate among the fault collection A circuit branch breaking to the distribution factor of cut-offfing of all the other circuits of system, be made as fault collection B to cut-offfing distribution factor greater than the circuit of given threshold value, the union of fault collection A and fault collection B is the line fault collection of being asked.
Automatically the step of confirming to cut-off the line fault collection is following:
1) set up 2 vector containers and a chained list, the table 1 of seeing Appendix:
Branch road structure vector container is called container 1.Comprise branch road number, branch type, branch road name and first node number, minor details period totally 5 members, be called member 1, member 2, member 3, member 4, the member 5 of container 1 respectively.
Electrical node structure vector container is called container 2.Structure vector container totally 2 members that comprise the female wire size of logic and this node connected node collection of node are called member 1, the member 2 of container 2 respectively.For the element of each container 2, the element number among the member 2 is more than or equal to 1.Corresponding electric power system notion, the electrical node of a work links to each other with one or more electrical nodes.
The searching route chained list is called chained list 1.The type of the branch road that comprise the female wire size of the female wire size of logic, father node logic of node, the logic branch road that links to each other with its parent record logic bus number, links to each other with father node and the branch road title that links to each other with father node be totally 5 members, is called member 1, member 2, member 3, member 4, the member 5 of chained list 1 respectively.
2) to basic flow data section.Closed circuits all in the model and closed transformer branch road are traveled through; These branch roads are numbered, and the branch road of each branch road number, branch type, branch road name and first node number, minor details period are stored in respectively among member 1, member 2, member 3, member 4 and the member 5 of container 1.
3) member to each branch road structure vector travels through; After finding new electrical node; Set up new container 2 elements, the member 1 that the female wire size of the logic of this node is put into container 2, and node number of this traversal branch road opposite end added among the member 2 of container 2; If find the head of this branch road or the value that the minor details period equals a certain element member 1 in the existing container 2 when traveling through other branch road, then among the member 2 with this element in the peer node adding container 2 of this traversal branch road.
4) node number of establishing supply node is a start node, and the node number that receives electrical nodes is a terminal node, and the node number of start node is changed to chained list 1 member's 1 value and member 2 value; Utilize the BFS method then; To deposit in from the nodal information the searching route that start node begins in the chained list 1, wherein, chained list 1 member 1 storage branch road peer node number; Member's 2 storage branch road local terminal node numbers; The branch road of branch road in container 1 that member 3 storage members 1 link to each other with member 2 number, the branch type of branch road in container 1 that member 4 storage members 1 link to each other with member 2, member 5 stores the branch road title of branch road in container 1 that members 1 link to each other with member 2.If can't find terminal node through this search method, then drawing supply node is not 0 conclusion in the electric island of same work, ATC result of calculation with receiving electrical nodes; If can find terminal node through this search method, then light by terminal node, seek the upper strata father node until start node, obtain from supply node to form fault collection A by chained list 1 to a supply path information that passed through by electrical nodes.
5) all circuits to fault collection A carry out other line disconnection distribution factor calculating to system, will cut-off the circuit adding fault collection B of distribution factor greater than threshold value.
6) circuit of merging fault collection A and fault collection B is removed the part that wherein repeats, and forms and cut-offs the line fault collection.
In the present invention, it is meritorious to the meritorious sensitivity computing method of generator to have disclosed a kind of branch road of considering frequency modulation characteristic.In said step 5); In the electrical network actual motion; After the generator outage or the variation of exerting oneself; The generator trend that changes not is all to transfer on the balancing machine of setting, but shares in many generators of system and load according to frequency modulation characteristic, this just need to branch road meritorious to generator the sensitivity of gaining merit rationally revise according to frequency modulation characteristic.
In system, after certain generator outage or the variation of exerting oneself, suppose that vacancy power Δ P can be by a distribution coefficient vectors=[α when power shortage Δ P appearred gaining merit in system
1, α
2..., α
n]
T(n is the number of logical node in the system, and distribution coefficient satisfies
) in total system, distribute between all units, load.The choosing method of distribution coefficient α generally has: the Capacity Ratio by the unit of participate in reconciling chooses, by the merit of unit, load frequently the static characteristic coefficient choose, on average choose, choose etc. by artificial prescribed coefficient by every generator.
Setting the sensitivity correction matrix is:
The physical significance of sensitivity correction matrix is: if on node i, increase the injecting power of a unit, then under this perturbation action, electric power system will reach a new poised state after through one section transient process.Under this state because each bus injecting power increment that the variation of system frequency really acts in the electric power system is [α
11-α
i-α
n]
T
Thereby obtain the meritorious Calculation of Sensitivity formula of new branch road be: S
M=[S 0] * C (19)
S in the formula (19)
MBe new sensitivity matrix; Promptly on the basis of conventional sensitivity matrix, increase by a row neutral element, row that increase newly are the sensitivity of reference node in the conventional method.S
MMiddle element
Be illustrated in the sensitivity of the meritorious meritorious injection to bus i of branch road l when considering the generator frequency modulation characteristic, its computing formula is:
α
iAccount for the proportionality coefficient of the total regulating power of system for the meritorious regulating power of bus i.The sensitivity of revising through formula (20) has considered that effectively meritorious the exerting oneself of generator regulate or when cut-offfing, the respective change of other node injection rate of system, and the result is more accurate, reasonable, approaches the actual conditions of power system operation.
In the present invention, disclosed a kind of interregional Calculation of Available Transfer Capability method.In said step 8), according to the definition in zone, confirm power supply area automatically and receive electricity composition regional and interconnection between them that calculating to the permission power variation that receives the electricity zone, can be tried to achieve interregional available transmission capacity from power supply area.
The step of carrying out interregional Calculation of Available Transfer Capability is following:
1) confirms power supply area and receive interconnection collection between the electric zone.All circuits in the Ergodic Theory, if the first stub area of a circuit belongs to power supply area respectively and receives the electricity zone, then this circuit belongs to the interconnection collection;
2) confirm the generator maximal regulated ability of power supply area.To the generator (comprising this zone boundary interconnection) of power supply area current exert oneself, EIAJ adds up, and calculates the generator maximal regulated ability of this power supply area.According to the adjustment mode of exerting oneself of appointment, increase exerting oneself of power supply area generator, reduce to receive exert oneself (or increasing the load that receives electric zone) of electric regional generator, calculate meritorious regulated quantity and the definite bottleneck equipment of allowing of each node;
3) to every circuit of interregional interconnector collection, utilize branch road meritorious to the meritorious sensitivity information that injects of node, calculate its meritorious variation after the meritorious adjusting of node, and sue for peace, can try to achieve interregional available transmission capacity.
Table 1 available transmission capacity supply path search structure of container table
The present invention is illustrated according to the preferred embodiment, should be appreciated that but the foregoing description does not limit the present invention in any form, and all employings are equal to the technical scheme that form obtained of replacement or equivalent transformation, all drop within protection scope of the present invention.