CN115712999A - Power transmission network flexible planning method and device considering static and transient stable economic operation - Google Patents

Power transmission network flexible planning method and device considering static and transient stable economic operation Download PDF

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CN115712999A
CN115712999A CN202211422339.1A CN202211422339A CN115712999A CN 115712999 A CN115712999 A CN 115712999A CN 202211422339 A CN202211422339 A CN 202211422339A CN 115712999 A CN115712999 A CN 115712999A
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power transmission
transmission network
constraint
transient
power
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柳璐
刘建琴
蔡德福
程浩忠
易海琼
汪莹
吴界辰
张良一
王尔玺
马溯
刘盾盾
林毅
唐雨晨
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Shanghai Jiaotong University
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Fujian Electric Power Co Ltd
State Grid Economic and Technological Research Institute
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Shanghai Jiaotong University
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Fujian Electric Power Co Ltd
State Grid Economic and Technological Research Institute
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Abstract

The invention relates to a power transmission network flexible planning method and equipment considering static state stable economic operation, wherein the method comprises the following steps of: acquiring basic data of a power transmission network to be planned; constructing a power transmission network flexible planning model taking the minimum investment and operation cost as an objective function based on the basic data, wherein the power transmission network flexible planning model considers the depth peak shaving characteristic of the flexible resource unit after flexibility modification, and constructs constraint conditions based on N-1 static safety constraint and transient safety constraint; solving the power transmission network flexible planning model to obtain an optimal planning scheme; wherein the N-1 static safety constraint defines a load shedding amount under a massive scene determined by an N-1 fault uncertainty set, the transient safety constraint being obtained using a quasi-linear relationship between a transient stability margin and mechanical power. Compared with the prior art, the method has the advantages of high reliability, improvement of the stability of the power grid and the like.

Description

Power transmission network flexible planning method and device considering static and transient stable economic operation
Technical Field
The invention relates to the technical field of flexible planning of power transmission networks, in particular to a power transmission network flexible planning method and equipment considering static and transient stable economic operation.
Background
Flexibility is the ability of describing flexibility and adjustability of the power system, flexible planning is planning for various determined and uncertain factors in the power system, and the aim is to seek a planning scheme with stronger flexibility and better adaptability. The flexible planning of the power transmission network is an important basis for the safety and the economy of a power system, a large amount of investment cost can be saved, and for the planning and development of a network source, the flexible planning of the power transmission network can realize the economy, cleanness, safety and reliability of the construction of the power network and renewable energy sources in a real sense. In recent years, due to the access of large-scale renewable power sources, the power transmission network is more flexible and has more changes, flexible planning can ensure the adaptability of the power network to multiple scenes and economic and safe operation, and the problems of output fluctuation of the renewable energy sources, imbalance of supply and demand capacities and the like are avoided. However, grid flexible planning needs to cope with higher safety requirements. In the traditional power grid planning, the minimum construction and operation cost is taken as a target, and after the planning scheme is obtained, the post-verification of static state safety and stability is carried out. With the access of large-scale new energy to the power grid, the inertia of the system is continuously reduced, the flexibility adjusting resources are reduced, the dynamic reactive power adjusting capability is insufficient, the static and transient safety stability is reduced, and the interlocking off-grid of the unit and even major power failure accidents can be caused. In the power grid planning process, uncertainty caused by renewable energy sources is considered, the functions of flexible resources such as a deep peak shaving unit are fully exerted, and the optimized planning scheme can directly meet static and transient safety requirements.
By retrieving the existing documents, the research on the flexible planning of the power transmission network considering static state safety is still in the beginning stage at present.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provide a power transmission network flexible planning method and equipment which have high reliability, improve the stability of a power network and consider static and transient stable economic operation.
The purpose of the invention can be realized by the following technical scheme:
a power transmission network flexible planning method considering static and transient stable economic operation comprises the following steps:
acquiring basic data of a power transmission network to be planned;
constructing a power transmission network flexible planning model taking the minimum investment and operation costs as an objective function based on the basic data, wherein the depth peak regulation characteristic of the flexible resource unit after flexibility modification is considered in the power transmission network flexible planning model, and a constraint condition is constructed based on N-1 static safety constraint and transient safety constraint;
solving the power transmission network flexible planning model to obtain an optimal planning scheme;
the N-1 static safety constraint limits the load shedding amount under a massive scene determined by an N-1 fault uncertainty set, and the transient safety constraint is obtained by utilizing a quasi-linear relation between a transient stability margin and mechanical power.
Further, the flexible planning model of the power transmission network is a double-layer optimization model, the upper-layer objective function is the minimum investment cost for power grid construction, and the lower-layer objective function is the minimum operation cost under the most serious transient stability fault set.
Further, the N-1 static safety constraint and the transient safety constraint are embedded into the power transmission network flexible planning model through a robust optimization method.
Further, the N-1 static safety constraint indicates that no load shedding exists in a massive scene determined by the N-1 fault uncertainty set.
Further, the establishment of the transient safety constraint specifically includes:
based on an extended equal-area criterion, by utilizing a quasi-linear relation between transient stability margin and mechanical power, a secant plane equation approximately replaces a differential algebraic equation, and a transient stability secant constraint of a fault scene xi is constructed, namely the transient safety constraint.
Furthermore, the constraint conditions of the power transmission network flexible planning model further comprise node power balance constraint, built line power flow constraint, to-be-built line power flow constraint, built line capacity constraint, to-be-selected line capacity constraint, thermal power output constraint, wind power output constraint, load shedding constraint, wind curtailment constraint, unit climbing constraint and investment decision constraint.
Further, the base data includes power supply data, load data, grid structure data, transient data, and deep peaking data.
Further, the basic data is presented in matpower format.
And further, solving the flexible planning model of the power transmission network by adopting a main-sub problem structure solving thought, wherein the main problem is a power transmission network planning problem containing transient stable cut constraints, the sub-problems are a series of time domain simulations, the stable cut constraints are formed in the sub-problems and fed back to the main problem, the stable cut constraints in the main problem are dynamically accumulated, and the main-sub problem is iteratively solved to obtain an optimal planning scheme.
The present invention also provides an electronic device comprising:
one or more processors;
a memory; and
one or more programs stored in the memory, the one or more programs including instructions for performing a power grid flexible planning method that accounts for static-transient-stable economic operation as described above.
Compared with the prior art, the invention has the following beneficial effects:
(1) The invention considers the flexible modification of the flexible resource unit in the power transmission network planning model, thereby fully playing the deep peak regulation capability of the unit, improving the reliable stability of the power grid, reducing the investment cost and the energy abandoning cost although increasing the operation cost of the unit, finally reducing the total cost and having better economy.
(2) The N-1 static safety constraint and the transient safety constraint represented by the transient stability cut are considered, and the proposed planning method can balance safety and stability and economic operation.
(3) The planning model is efficiently solved by adopting Benders decomposition technology and PSAT time domain simulation iteration, and the obtained planning scheme has good economy, meets static and transient safety and has high wind-solar new energy consumption ratio.
Drawings
FIG. 1 is a schematic flow diagram of the present invention;
FIG. 2 is a schematic diagram of a model solution concept of the present invention;
fig. 3 is a schematic structural diagram of a power transmission network test system used in the embodiment.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
As shown in fig. 1, the present invention provides a power transmission network flexible planning method considering static state stable economic operation, which includes the following steps:
s1, acquiring basic data of the power transmission network to be planned, wherein the basic data comprises power supply data, load data, power transmission network structure data, transient data, deep peak shaving data and the like.
In a specific embodiment, the power data includes parameters such as a capacity of a unit (including a new energy unit), a minimum maximum output limit, a unit state, and an access voltage level. The load data refers to the load size of each node. The power transmission network structure data comprise parameters such as a power transmission network topological structure, alternating current and direct current drop points, capacity parameters, the length, the model, the impedance and the forced outage rate of the power transmission line, and a power transmission line planning candidate set. The data can be presented in matpower format, and data calculation is convenient to call in programming.
And S2, constructing a power transmission network flexible planning model taking the minimum investment and operation cost as an objective function based on the basic data, wherein the deep peak shaving characteristic of the flexible resource unit after flexibility modification is considered in the power transmission network flexible planning model, and constructing a constraint condition based on the N-1 static safety constraint and the transient safety constraint.
In the step, static safety, transient safety and economic targets are considered simultaneously in the construction of the flexible planning model of the power transmission network, and the reliability and stability of the planning scheme are ensured.
(1) Flexible resource unit flexibility improvement
The minimum stable output of an unmodified coal-fired unit is usually 50% of rated capacity from the view of the minimum stable output of the coal-fired power generating unit, and the latest operation experience shows that the minimum stable output of most units of 60 ten thousand kilowatts and below can be pressed to be about 40% of the rated capacity under the condition of not increasing any modification investment; through the technical transformation of thermoelectric decoupling, low-pressure stable combustion and the like, the minimum stable output of the coal-electric machine set can be reduced to 20-30% of rated capacity. The depth peak regulation unit after flexibility transformation is a flexible resource in power grid planning, and can adjust output to provide more flexibility of up and down regulation. However, the flexible modification requires a large amount of investment, for example, the modification cost of a pure condensing unit with 100 ten thousand kilowatts to 40% is about 2000 ten thousand yuan, the modification cost to 30% is about 2500 ten thousand yuan, and the modification cost to 20% is about 3400 ten thousand yuan, so that the investment and the adjustment capability which can be improved need to be balanced.
In the flexibility adaptation submodule, assume y g Decision variable, C, for flexibility modification of coal-electric machine group g GI,g The unit flexibility modification cost of the coal-electricity unit g is shown as the formula (1), and the cost of the unit flexibility modification cost is f in the conventional peak regulation stage coal As shown in equation (2), the cost is f in the deep peak shaving stage coal +f abr According to formula (3), the flexibility of the unit supply is adjusted up and down after the flexibility is improved
Figure BDA0003940613250000041
And
Figure BDA0003940613250000042
respectively shown as formulas (4) and (5).
C re =C GI,g y g (1)
f coal =a i (P g (t)) 2 +b i P g (t)+c i (2)
f abr =βS unit,i /(2N f (P g (t))) (3)
Figure BDA0003940613250000043
Figure BDA0003940613250000044
In the formula, a i 、b i 、c i The fuel cost parameter is a parameter of the traditional quadratic function form fuel cost of the coal-electric machine set; beta is the influence coefficient of the unit depth operation; s. the unit,i Is the cost of purchasing the machine; n is a radical of hydrogen f (. X) is a function of the number of rotor cycles related to the unit output; r is g,up And R g,down The power rates are respectively adjusted up and down for the unit;
Figure BDA0003940613250000045
and P g (t) the maximum output power, the minimum output power and the output power at the moment t of the unit respectively, wherein
Figure BDA0003940613250000046
Is a flexible adaptation decision variable y g Is measured as a function of (c).
(2) Static scene construction
According to the principle of N-1 in the safety and stability guide rule of the power system, any element in the power system in a normal operation mode is disconnected, the power system can keep stable operation and normal power supply, and other elements are not overloaded. After the renewable energy is connected to the grid, the system presents diversified operation scenes. Due to the explosive increase in the number of scenarios, a planning scheme that satisfies static safety at peak load may not satisfy static safety under other scenarios. Therefore, a power system for renewable energy grid connection needs to be constructed and ensure static safety of a planning scheme under a massive scene.
In the static scene construction submodule, an N-1 fault uncertain set is constructed as a formula (6), and static safety is that no load shedding and load shedding amount r exist in the massive scene of the formula (6) i Equal to 0.
Figure BDA0003940613250000051
In the formula, n l For the number of established lines, n x Number of lines to be selected, n g The number of the generators, w, the state variable of the established line, y, and z are the state variables of the generator to be selected.
(3) Transient safety and stability
At present, a post-check method is generally adopted to judge the transient stability of the power transmission network planning scheme. However, the post-verification method has certain limitations, and can only determine whether the obtained planning scheme is stable, but cannot be directly embodied in the planning model. The invention adopts a classical second-order model to describe the transient process of the generator, and adopts differential algebraic equations (7) - (10) for the transient safety and stability of the power system based on the Extended Equal Area Criterion (EEAC)
Figure BDA0003940613250000052
Figure BDA0003940613250000053
Figure BDA0003940613250000054
Figure BDA0003940613250000055
The above equation mainly includes the generator rotor motion equation during transient, the electromagnetic power equation, and the transient stability margin constraint based on EEAC. In the formula, delta i 、ω i 、P m,i 、P e,i The power angle, the rotating speed, the mechanical power and the electromagnetic power of the generator i are time variables respectively; p m And P e Mechanical and electromagnetic power, respectively OMIB;
Figure BDA0003940613250000056
Is the electromagnetic power, initial value and mechanical power of generator i under fault xi
Figure BDA0003940613250000057
Equal, from steady state solution P g,j Determining;
Figure BDA0003940613250000058
and
Figure BDA0003940613250000059
is the admittance matrix contracted to the generator node under the fault xi, the size of which is decided by the planning l (ii) an effect; eta (ξ) is the transient stability margin under the failure ξ, and omega is the expected failure set.
After the large disturbance occurs, the mechanical power and the electromagnetic power of the generator generate a difference. The power difference causes part of the generator to start accelerating and part of the generator to start decelerating. The power difference is a direct cause of transient stability disruption. Variation of mechanical power
Figure BDA0003940613250000061
Can be expressed as the change of mechanical power of the critical machine group
Figure BDA0003940613250000062
And non-critical fleet mechanical power variation
Figure BDA0003940613250000063
Is shown in equation (11).
Figure BDA0003940613250000064
Wherein,
Figure BDA0003940613250000065
Figure BDA0003940613250000066
according to the power balance, there are:
Figure BDA0003940613250000067
thus, the joint type (11) and the formula (14) can be derived:
Figure BDA0003940613250000068
from the formula (15), it can be seen that OMIB mechanical power is increased
Figure BDA0003940613250000069
I.e. increase of mechanical power of critical cluster
Figure BDA00039406132500000610
Reducing non-critical fleet mechanical power
Figure BDA00039406132500000611
By utilizing the quasi-linear relation between the transient stability margin and the mechanical power, the transient stability margin eta of the xi of the current fault scene can be obtained (ξ) To OMIB mechanical power
Figure BDA00039406132500000612
Sensitivity of (2):
Figure BDA00039406132500000613
the OMIB mechanical power needs to meet:
Figure BDA00039406132500000614
in the formula,
Figure BDA00039406132500000615
the generator contribution transmitted to the subproblems for the main problem, the mechanical power of the generator in the time domain simulation, P m,i For the generator output, η, to be decided in a new iteration (ξ) A transient stability margin for an unstable scene ξ. Equation (17) is used as a transient stability cut constraint of the fault scene ξ.
The physical meaning of the transient stability cut constraint is to limit the mechanical power of the critical cluster while maintaining power balance, thereby reducing the acceleration area of the OMIB in the fault and improving the transient stability margin. The transient stability cut constraint is characterized in that a cut plane equation is used for replacing a differential algebraic equation approximately to form a linearized constraint, and a new feasible domain is defined in a main problem, so that a planning scheme meets the transient stability constraint.
(4) Model construction
And (4) combining static safety and stability and transient safety and stability, and simultaneously considering economic operation requirements, and establishing a power transmission network flexible planning model. The model objective function is a two-layer optimization structure with the minimum sum of investment cost and operation cost, and is shown as a formula (18) and a formula (19). The investment cost comprises the investment cost of power grid construction, the flexibility modification cost of the deep peak shaving unit, and the operation cost comprises the fuel cost, the load shedding cost and the energy abandoning cost. The upper layer target is as the formula (18), and the investment cost of power grid construction is minimized on the premise of meeting the lower layer constraint; the lower model is expressed by equation (19), and the objective function is the minimum operation cost under the most serious transient stability fault set phi.
Figure BDA0003940613250000071
Figure BDA0003940613250000072
In the formula, x e ,y g Respectively making investment decision variables of a power grid line e to be built and a deep peak shaving unit g to be modified by a flexible unit; e C Is to be builtThe line set of (2); c EI,e The investment and construction cost of the line E to be built; g G The method comprises the steps of A, collecting deep peak shaving units to be transformed by a flexible unit; c GI,g The investment and construction cost of the unit g to be built is high; phi is a failure scene set;
Figure BDA0003940613250000079
is a set of nodes; g (i) is a set of units at node i; GW (i) is the set of wind farms at node i; c r,i Is the load shedding penalty cost for node i; r is i Is the load shedding of node i; c w,k Is the wind curtailment penalty cost of the wind farm k at node i; sw k Is the curtailment of wind farm k at node i.
The constraints of the planning model are:
node power balance constraint:
Figure BDA0003940613250000073
and flow of the established line:
f l,t =b l,tstart(l),tend(l),t ),l∈Ee (21)
and (3) the trend of the line to be built:
|f l,t -b l,tstart(l),tend(l),t )|≤M(1-x e ),l∈Ec (22)
established line capacity constraints:
Figure BDA0003940613250000074
and (3) capacity constraint of a line to be selected:
Figure BDA0003940613250000075
thermal power output constraint:
Figure BDA0003940613250000076
wind power output restraint:
Figure BDA0003940613250000077
load shedding restraint:
Figure BDA0003940613250000078
wind abandon restraint:
Figure BDA0003940613250000081
unit climbing restraint:
Figure BDA0003940613250000082
investment decision constraints:
x e ∈{0,1},y g ∈{0,1} (30)
a fault scene set:
Figure BDA0003940613250000083
transient stability margin constraint:
Figure BDA0003940613250000084
in the formula, P g,j,t The active output of the unit i is obtained;
Figure BDA0003940613250000085
the predicted maximum output of the wind turbine generator is obtained; f. of l,t Is the current of the line l; gamma ray fr(i) And gamma to(i) Respectively taking the node i as a line set of a head end and a tail end; theta start(l),t And theta end(l),t Phase angles of a head end node and a tail end node of the line l are respectively; b l,t Is a system admittance matrix; m is a maximum number;
Figure BDA0003940613250000086
and
Figure BDA0003940613250000087
respectively the minimum active output and the maximum active output of the unit i, and noticing that the minimum active output and the maximum active output are related to whether the unit participates in the flexibility modification or not; delta g,up 、δ g,down The up-down slope climbing rate of the unit is respectively. The symbols in the model with the index t are all time-dependent timing values.
And S3, solving the flexible planning model of the power transmission network to obtain an optimal planning scheme and technical indexes of the planning scheme, such as corresponding investment and operation costs, electric power and electric quantity.
The power transmission network flexible planning model considering static state safety and stability and economic operation comprises a main problem and sub problems. The solution idea of the main-sub problem structure is adopted. The main problem is a power transmission network planning problem, and the sub-problems are a series of time domain simulations. The key to the main-sub problem solution is: stable cut constraints are formed in the subproblems based on EEAC theory and fed back to the main problem. And (4) dynamically accumulating stable cutting constraints in the main problem, and iteratively solving the main-sub problem to obtain an optimal planning scheme. The main problem is the power transmission network planning problem with transient stability cut constraints, which are generated by the instability scenario with negative stability margin in the sub-problem. Since the transient stability cut constraint is a linear constraint, the main problem can be expressed as an MILP problem, i.e., can be solved by Benders decomposition technique or solvers Gurobi, cplex. The sub-problem is subjected to time domain simulation and is completed by the PSAT. The model solution concept is shown in fig. 2.
A power transmission network flexible planning system considering static state safety and stability and economic operation for realizing the method can comprise the following 7 modules: (1) a data module: the system is used for storing power supply data, transient data, power transmission network data, deep peak regulation data and the like; (2) an input module: acquiring required data from a data module; (3) a static safety and stability model construction module: the method comprises a unit flexibility modification submodule and a static scene construction submodule, wherein a static safety and stability model under the N-1 fault is constructed by considering the deep peak regulation characteristic after the flexibility modification of the flexible resource unit; (4) a transient safety and stability model construction module: constructing a transient stability secant plane equation by utilizing a quasi-linear relation between the transient stability margin and the mechanical power; (5) The power transmission network flexible planning model construction module considers static state safety and stability and economic operation: meanwhile, considering static safety, transient safety and economic targets, and constructing a power transmission network flexible planning model; (6) a solving module: the method is used for solving the planning model, and the model is decomposed into a flexible planning main problem and a fault simulation sub-problem to realize effective solving; (7) an output module: and outputting the planning scheme.
The above-mentioned functional method is implemented in the form of software functional unit, and can be stored in a computer readable storage medium when it is sold or used as a stand-alone product. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
Examples
The planning target year is 2030 years, and the device has a high proportion of renewable energy sources. The assembly capacity of the thermoelectric generator in the calculation example is as follows: 328600MW, wind-light installed capacity: 294300MW, number of nodes: 38, unit climbing speed: 650MW/h,132 generators, 102 existing lines, 88 lines to be built, 8 typical days, equal probability division of 0.125, load shedding penalty cost: 1.7 ten-thousand yuan/MWh, total load: 217100MW, annual line investment value: 93.7 ten thousand yuan/km, line investment life: in 25 years (630 ten thousand yuan/km), the wind abandon penalty cost: 0.05 ten thousand yuan/MWh, abandon the light penalty cost: 0.085 ten thousand yuan per MHh, normal peak-shaving minimum output: 50%, depth peaking minimum output: 35 percent.
Figure 3 shows a power grid system with a high proportion of renewable energy. The three-phase short circuit fault which has the most serious influence on the transient stability of the system is selected as an expected fault set of the power grid transient safety research according to the technical specification for calculating the safety and stability of the power system DLT 1234-2013, the fault clearing time is set to be 0.1s, the total simulation time is set to be 3s, the simulation step length is set to be 0.005s, the fault starting time is 1s, the fault clearing time is set to be 1.1s, and the fault clearing time is set to be 0.1s. All related programs call Yalmip of a commercial solver Gurobi to solve the model in MATLAB. The test results of the examples are shown in tables 1 and 2.
TABLE 1 comparison of planning schemes of whether to consider flexible modification of flexible resource units
Type of contrast Scheme 1: modification considering flexibility Scheme 2: modification without taking flexibility into account
Annual investment cost (Yi Yuan) 13.3 14.7
Energy cost (Yi Yuan) 33.6 78.7
Annual operating costs (Yi Yuan) 2495.9 2461.5
Total cost (Yi Yuan) 2542.8 2554.9
In table 1, different schemes of considering whether the flexible modification of the flexible resource unit is performed are compared, and it can be known from table 1 that, after the flexible resource unit is considered, the unit has deep peak regulation capability, the new energy generated energy ratio can be improved, and the cost of deep peak regulation is increased, so the annual operation cost is increased, but the investment cost and the energy abandonment cost are reduced, and the final total cost is reduced. The thermal power generating unit has the capability of deep peak regulation, the output value at each moment is obviously reduced, and the new energy consumption ratio is improved.
TABLE 2 comparison of planning schemes whether transient stability is considered
Type of contrast Scheme 3: considering transient constraints Scheme 4: disregarding transient constraints
Annual investment cost (Yi Yuan) 13.3 10.3
Energy cost (Yi Yuan) 33.6 40.5
Annual operating costs (Yi Yuan) 2495.9 2526.1
Total cost (Yi Yuan) 2542.8 2576.9
In table 2, different schemes of whether transient constraints are considered are compared, and it can be seen from table 2 that after the embedded transient constraints are considered, the number of circuits to be built is increased, so that the investment cost is increased, but the energy abandonment cost and the unit operation cost are both reduced, the new energy generating capacity ratio is improved, the total cost is reduced, and the new energy consumption capacity of the system is improved after the circuits are increased.
The foregoing detailed description of the preferred embodiments of the invention has been presented. It should be understood that numerous modifications and variations can be devised by those skilled in the art in light of the above teachings. Therefore, the technical solutions that can be obtained by a person skilled in the art through logical analysis, reasoning or limited experiments based on the prior art according to the concepts of the present invention should be within the scope of protection determined by the claims.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein. The scheme in the embodiment of the invention can be realized by adopting various computer languages, such as object-oriented programming language Java and transliterated scripting language JavaScript.
The present invention has been described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including the preferred embodiment and all changes and modifications that fall within the scope of the invention.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.

Claims (10)

1. A power transmission network flexible planning method considering static state stable economic operation is characterized by comprising the following steps:
acquiring basic data of a power transmission network to be planned;
constructing a power transmission network flexible planning model taking the minimum investment and operation costs as an objective function based on the basic data, wherein the depth peak regulation characteristic of the flexible resource unit after flexibility modification is considered in the power transmission network flexible planning model, and a constraint condition is constructed based on N-1 static safety constraint and transient safety constraint;
solving the power transmission network flexible planning model to obtain an optimal planning scheme;
wherein the N-1 static safety constraint defines a load shedding amount under a massive scene determined by an N-1 fault uncertainty set, the transient safety constraint being obtained using a quasi-linear relationship between a transient stability margin and mechanical power.
2. The method for flexibly planning the power transmission network considering the static stable economic operation according to claim 1, wherein the flexible planning model of the power transmission network is a double-layer optimization model, an upper-layer objective function is the minimum investment cost for power network construction, and a lower-layer objective function is the minimum operation cost under the most severe transient stable fault set.
3. The method for power transmission network flexible planning considering static stable economic operation according to claim 1, wherein the N-1 static safety constraints and transient safety constraints are embedded in the power transmission network flexible planning model by a robust optimization method.
4. The method for flexible planning for a power transmission network considering static stable economic operation according to claim 1, wherein the N-1 static safety constraint indicates that there is no load shedding under a massive scenario determined by an N-1 uncertainty set of faults.
5. The power transmission network flexible planning method considering static and transient stable economic operation according to claim 1, wherein the establishment of the transient safety constraint is specifically as follows:
based on an extended equal-area criterion, by utilizing a quasi-linear relation between transient stability margin and mechanical power, a secant plane equation approximately replaces a differential algebraic equation, and a transient stability secant constraint of a fault scene xi is constructed, namely the transient safety constraint.
6. The power transmission network flexible planning method considering static state stable economic operation according to claim 1, wherein the constraint conditions of the power transmission network flexible planning model further include node power balance constraint, established line power flow constraint, to-be-established line power flow constraint, established line capacity constraint, to-be-selected line capacity constraint, thermal power output constraint, wind power output constraint, load shedding constraint, wind curtailment constraint, unit ramp constraint and investment decision constraint.
7. The method for grid flexible planning considering quiet transient stable economic operation according to claim 1, wherein said base data comprises power supply data, load data, grid structure data, transient data and deep peaking data.
8. The method for flexible planning for a power transmission network considering static stable economic operation according to claim 1, wherein said basic data is presented in matpower format.
9. The method according to claim 1, wherein the power transmission network flexible planning model is solved by adopting a main-subproblem structure solving idea, wherein the main problem is a power transmission network planning problem containing transient stability cut constraints, the subproblems are a series of time domain simulations, stability cut constraints are formed in the subproblems and fed back to the main problem, the stability cut constraints in the main problem are dynamically accumulated, and the main-subproblems are iteratively solved to obtain an optimal planning scheme.
10. An electronic device, comprising:
one or more processors;
a memory; and
one or more programs stored in the memory, the one or more programs including instructions for performing a method for grid flexible planning that considers static state-stable economic operation as recited in any of claims 1-9.
CN202211422339.1A 2022-11-14 2022-11-14 Power transmission network flexible planning method and device considering static and transient stable economic operation Pending CN115712999A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117875161A (en) * 2023-12-11 2024-04-12 上海交通大学 Source network load collaborative elastic lifting method and system considering multi-fault uncertainty

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117875161A (en) * 2023-12-11 2024-04-12 上海交通大学 Source network load collaborative elastic lifting method and system considering multi-fault uncertainty
CN117875161B (en) * 2023-12-11 2024-07-09 上海交通大学 Source network load collaborative elastic lifting method and system considering multi-fault uncertainty

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