CN111799842A - Multi-stage power transmission network planning method and system considering flexibility of thermal power generating unit - Google Patents
Multi-stage power transmission network planning method and system considering flexibility of thermal power generating unit Download PDFInfo
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Abstract
The invention provides a multi-stage power transmission network planning method and system considering flexibility of a thermal power generating unit, and the method and system are based on time value of capital and time sequence characteristics of load, wind power and the like, a multi-stage power transmission network planning optimization model considering flexibility modification of the thermal power generating unit is constructed, mixed integer nonlinear constraint conditions in the optimization model are converted into mixed integer linear constraint conditions, and the converted mixed integer linear planning model is solved by adopting a mixed integer linear planning method, so that a multi-stage joint decision scheme of flexibility modification of the thermal power generating unit and power transmission network planning is obtained, and the economy of planning operation investment of a power system is improved.
Description
Technical Field
The invention relates to the technical field of power grid planning, in particular to a multi-stage power transmission grid planning method and system considering flexibility of a thermal power generating unit.
Background
The rapid development of new energy is a necessary choice for solving the problems of shortage of fossil energy and environmental pollution at present. In the new energy power generation technology, the wind power generation technology is the most mature and has the most large-scale development value, and the wind power generation in the world is in a large-scale development situation. Under the influence of natural factors, the wind power generation has obvious anti-peak-shaving characteristics, namely, the wind power output is low in the daytime peak load period and is high in the nighttime valley load period. Large-scale wind power integration also brings great challenges to the planning and operation of power systems.
The output power of the thermal power generating unit can be adjusted within a certain range, and the thermal power generating unit plays an important role in balancing large-scale wind power change and promoting wind power consumption. The flexibility of the thermal power generating unit is embodied in that the system power unbalance amount caused by load change or wind power change can be tracked at a certain rate, and when the wind power output power is increased, the output power of the thermal power generating unit is reduced to allow clean energy to generate electricity so as to promote wind power consumption. In China, the thermal power generating unit generally has the problems of abundant total amount and insufficient flexibility, and the wind power grid-connected consumption is severely limited. In order to solve the problem, the flexibility modification of the thermal power generating units needs to be implemented, but how to make a scientific and reasonable flexibility modification time sequence of the thermal power generating units is worthy of deep research.
The goal of power grid planning is to meet power transmission requirements by making decisions on the construction of transmission lines, given load predictions and power supply layouts. In the traditional power grid planning, a target grid structure is used as a research object for optimization decision making, and the time sequence characteristics of the power grid structure are difficult to reflect. The power grid planning is a long-term and rolling decision process, the transition of schemes among multiple planning stages and the restriction of decision variables on the value of each stage need to be considered, and the time value of capital needs to be considered in the planning process to carry out multi-period coordinated dynamic planning. At present, the simulation of the operation situation of each planning stage in the multi-stage power grid planning decision usually selects an operation mode corresponding to the peak load, and the change scenes of the load and the renewable energy power in each planning stage are less involved.
Disclosure of Invention
The invention aims to provide a multi-stage power transmission network planning method and system considering the flexibility of a thermal power generating unit, aims to solve the problems of lack of load and wind power consideration in multi-stage power network planning decision-making in the prior art, realizes a multi-stage combined decision-making scheme, and improves the economy of planning operation investment of a power system.
In order to achieve the technical purpose, the invention provides a multi-stage power transmission network planning method considering the flexibility of a thermal power generating unit, which comprises the following operations:
constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit, wherein the optimization model takes the minimum sum of the investment cost and the present value of the operation cost in the whole planning period as a target and comprises a plurality of constraint conditions;
and converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and transmission grid multi-stage combined programming scheme.
Preferably, the method further comprises the steps of inputting parameters of a traditional thermal power unit and parameters of a power transmission element of the power grid in the current situation before the model is built, inputting maximum load, maximum wind power, 24-hour load power and wind power change per month of each year in a planning period, setting a range of the thermal power unit which can participate in flexibility modification and a modification cost according to the operation condition of the thermal power unit, setting a range of a candidate new power transmission line and a construction cost according to the corridor condition of the power transmission line, and setting a wind power curtailment cost coefficient and a system allowable curtailment rate.
Preferably, the objective function expression of the optimization model is:
wherein nw is the total number of the wind power plants; ny is the total year of the planning cycle; ng is the number of conventional thermal power generating units; nl is the number of transmission line corridors planned and constructed; alpha is alphawRepresenting wind curtailment penalty cost;the electric power curtailment of the wind power plant w is the typical day h period of the mth year, mth month in the planning cycle; beta is agRepresenting the flexibility modification cost of the thermal power generating unit g;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,showing that the thermal power generating unit g does not perform flexible modification in the y year in the planning period; clInvestment cost for construction of a single-circuit power transmission line on a power transmission corridor l;representing the number of newly added power transmission lines in the y year on the power transmission line corridor l; ρ is the discount rate.
Preferably, the constraint condition includes:
1) the upper and lower limits of active power of a conventional thermal power generating unit are constrained:
wherein,andthe active power upper and lower limits of the thermal power generating unit g are respectively set;the active power of the thermal power generating unit g is the typical day h period of the mth year, mth month in the planning cycle;representing the increased deep peak regulation power of the thermal power generating unit through flexible modification until the y year; delta PgThe method comprises the steps that the depth peak regulation power which can be increased by flexible modification of a thermal power generating unit g is shown;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,representing that the thermal power generating unit g is not subjected to flexibility modification in the y year in a planning period; zgIs a binary variable which indicates whether the live generator g is flexibly modified in a planning period, Zg1 denotes the flexible modification of the generator set g in the planning cycle, ZgWhen the number is 0, the live-wire generator g is not flexibly transformed in a planning period;
2) conventional thermal power generating unit climbing restraint:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;the active power of the thermal power generating unit g is the active power of the thermal power generating unit g in a typical day h-1 of mth month in the planned cycle;
3) node power balance constraint:
wherein, Pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle;the active power predicted value of the wind power plant w in a typical day h period of the mth year m month in the planning cycle;the active power predicted value of the load d in a typical day h period of the mth year m month in the planning cycle; siAnd EiThe total number of the power transmission lines with the node i as a head node and the tail end node respectively; gi、WiAnd DiRespectively representing the total number of thermal power generating units, wind power plants and loads on the node i; nb is the number of the nodes of the power grid;
4) and (5) abandoned wind power constraint:
wherein, γyRepresenting a set wind power curtailment rate threshold allowed in the y year;
5) transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; thetai y,m,hA node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l; pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
6) the maximum extensible line number constraint of the power transmission line corridor is as follows:
wherein Z isl maxThe maximum number of the extensible power transmission lines is 1;
7) node voltage phase angle constraint:
wherein,a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;
8) n-1, the upper and lower limits of active power of the thermal power generating unit are constrained under the condition of an expected accident:
wherein,active power of the thermal power generating unit g under an expected accident k in a typical day h period of m month in the y year in a planning cycle, wherein nk is the total number of the expected accidents of the power transmission line N-1;
9) n-1 conventional thermal power generating unit climbing restraint under the condition of anticipated accidents:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h-1 of mth month in the y year in a planning cycle;
10) n-1 node power balance constraint under the condition of an expected accident:
wherein, Pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
11) n-1 abandon wind power restraint under the condition of anticipated accidents:
wherein,forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
12) n-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
wherein nl is the total number of the transmission line corridors; b islThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; ny is the total year of the planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l;indicating whether the power transmission line corridor is shut down or not under the expected accident k,to representIt is expected that the wire on the k power transmission line corridor is shut down under the accident,representing that no line is stopped on the transmission line corridor under the expected accident k; pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;the transmission capacity of a single-circuit transmission line on a transmission line corridor l;
13) n-1 node voltage phase angle constraint under the expected accident condition:
wherein,and forecasting the voltage phase angle of the node i under the accident k for the typical day h period of the mth year m month in the planning cycle.
Preferably, the non-linear constraint expression in the transmission capacity constraint of the power transmission line is converted into an equivalent linear expression:
wherein M is a constant.
Preferably, the nonlinear constraint expression in the transmission capacity constraint of the transmission line under the N-1 expected accident condition is converted into an equivalent linear expression, that is:
the invention also provides a multi-stage power transmission network planning system considering the flexibility of the thermal power generating unit, which comprises the following components:
the planning model construction module is used for constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit, the optimization model takes the minimum sum of the investment cost and the present value of the operation cost in the whole planning period as a target and comprises a plurality of constraint conditions;
and the model solving module is used for converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and power transmission network multi-stage combined programming scheme.
Preferably, the system further comprises a model parameter setting module, which is used for inputting parameters of a traditional thermal power unit and parameters of a power transmission element of the power grid in the current situation before the model is built, inputting maximum load, maximum wind power, 24-hour load power and wind power change per month in a planning period, setting a range of the thermal power unit which can participate in flexibility modification and a modification cost according to the operation condition of the thermal power unit, setting a range of a candidate newly-built power transmission line and a construction cost according to the corridor condition of the power transmission line, and setting a wind power curtailment cost coefficient and a power curtailment rate allowed by the system.
Preferably, the objective function expression of the optimization model is:
wherein nw is the total number of the wind power plants; ny is the total year of the planning cycle; ng is the number of conventional thermal power generating units; nl is the number of transmission line corridors planned and constructed; alpha is alphawRepresenting wind curtailment penalty cost;the electric power curtailment of the wind power plant w is the typical day h period of the mth year, mth month in the planning cycle; beta is agRepresenting the flexibility modification cost of the thermal power generating unit g;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,showing that the thermal power generating unit g does not perform flexible modification in the y year in the planning period; clInvestment cost for construction of a single-circuit power transmission line on a power transmission corridor l;representing the number of newly added power transmission lines in the y year on the power transmission line corridor l; ρ is the discount rate.
Preferably, the constraint condition includes:
1) the upper and lower limits of active power of a conventional thermal power generating unit are constrained:
wherein,andrespectively of thermal power generating units gAn upper and lower active power limit;the active power of the thermal power generating unit g is the typical day h period of the mth year, mth month in the planning cycle;representing the increased deep peak regulation power of the thermal power generating unit through flexible modification until the y year; delta PgThe method comprises the steps that the depth peak regulation power which can be increased by flexible modification of a thermal power generating unit g is shown;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,representing that the thermal power generating unit g is not subjected to flexibility modification in the y year in a planning period; zgIs a binary variable which indicates whether the live generator g is flexibly modified in a planning period, Zg1 denotes the flexible modification of the generator set g in the planning cycle, ZgWhen the number is 0, the live-wire generator g is not flexibly transformed in a planning period;
2) conventional thermal power generating unit climbing restraint:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;the active power of the thermal power generating unit g is the active power of the thermal power generating unit g in a typical day h-1 of mth month in the planned cycle;
3) node power balance constraint:
wherein, Pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle;the active power predicted value of the wind power plant w in a typical day h period of the mth year m month in the planning cycle;the active power predicted value of the load d in a typical day h period of the mth year m month in the planning cycle; siAnd EiThe total number of the power transmission lines with the node i as a head node and the tail end node respectively; gi、WiAnd DiRespectively representing the total number of thermal power generating units, wind power plants and loads on the node i; nb is the number of the nodes of the power grid;
4) and (5) abandoned wind power constraint:
wherein, γyRepresenting a set wind power curtailment rate threshold allowed in the y year;
5) transmission capacity constraint of the transmission line:
wherein, BlFor power transmission lineSusceptance of a single-circuit power transmission line on the corridor l;a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l; pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
6) the maximum extensible line number constraint of the power transmission line corridor is as follows:
wherein Z isl maxThe maximum number of the extensible power transmission lines is 1;
7) node voltage phase angle constraint:
wherein,a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;
8) n-1, the upper and lower limits of active power of the thermal power generating unit are constrained under the condition of an expected accident:
wherein,active power of the thermal power generating unit g under an expected accident k in a typical day h period of m month in the y year in a planning cycle, wherein nk is the total number of the expected accidents of the power transmission line N-1;
9) n-1 conventional thermal power generating unit climbing restraint under the condition of anticipated accidents:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h-1 of mth month in the y year in a planning cycle;
10) n-1 node power balance constraint under the condition of an expected accident:
wherein, Pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
11) n-1 abandon wind power restraint under the condition of anticipated accidents:
wherein,forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
12) n-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
wherein nl is the total number of the transmission line corridors; b islThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; ny is the total year of the planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l;indicating whether the power transmission line corridor is shut down or not under the expected accident k,indicating a wire outage in the k power line corridor under an expected accident,representing that no line is stopped on the transmission line corridor under the expected accident k; pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
13) n-1 node voltage phase angle constraint under the expected accident condition:
The effect provided in the summary of the invention is only the effect of the embodiment, not all the effects of the invention, and one of the above technical solutions has the following advantages or beneficial effects:
compared with the prior art, the method is based on the time value of capital, the time sequence characteristics of load, wind power and the like are considered, the multi-stage power transmission network planning optimization model considering thermal power unit flexibility modification is constructed, the mixed integer nonlinear constraint condition in the optimization model is converted into the mixed integer linear constraint condition, the converted mixed integer linear programming model is solved by adopting the mixed integer linear programming method, the multi-stage joint decision scheme of thermal power unit flexibility modification and power transmission network planning is obtained, and the economy of power system planning operation investment is improved.
Drawings
Fig. 1 is a flowchart of a multi-stage power transmission network planning method considering flexibility of a thermal power generating unit according to an embodiment of the present invention;
fig. 2 is a block diagram of a multi-stage power transmission network planning system considering flexibility of a thermal power generating unit according to an embodiment of the present invention.
Detailed Description
In order to clearly explain the technical features of the present invention, the following detailed description of the present invention is provided with reference to the accompanying drawings. The following disclosure provides many different embodiments, or examples, for implementing different features of the invention. To simplify the disclosure of the present invention, the components and arrangements of specific examples are described below. Furthermore, the present invention may repeat reference numerals and/or letters in the various examples. This repetition is for the purpose of simplicity and clarity and does not in itself dictate a relationship between the various embodiments and/or configurations discussed. It should be noted that the components illustrated in the figures are not necessarily drawn to scale. Descriptions of well-known components and processing techniques and procedures are omitted so as to not unnecessarily limit the invention.
The following describes in detail a multi-stage power transmission network planning method and system considering flexibility of a thermal power generating unit, which are provided by the embodiments of the present invention, with reference to the accompanying drawings.
As shown in fig. 1, the invention discloses a multi-stage power transmission network planning method considering flexibility of a thermal power generating unit, which comprises the following operations:
s1, inputting parameters of a traditional thermal power generating unit and parameters of a power transmission element of a current power grid, inputting maximum load, maximum wind power, 24-hour load power and wind power change per typical day of each year in a planning period, setting a thermal power generating unit range capable of participating in flexibility modification and modification cost according to the operation condition of the thermal power generating unit, setting a candidate newly-built power transmission line range and construction cost according to the corridor condition of the power transmission line, and setting a wind power curtailment cost coefficient and a system allowable curtailment rate.
And S2, constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit, wherein the optimization model aims at minimizing the sum of the investment cost and the present value of the operation cost in the whole planning period and comprises a plurality of constraint conditions.
The objective function expression of the optimization model is as follows:
wherein nw is the total number of the wind power plants; ny is the total year of the planning cycleCounting; ng is the number of conventional thermal power generating units; nl is the number of transmission line corridors planned and constructed; alpha is alphawRepresenting wind curtailment penalty cost;the electric power curtailment of the wind power plant w is the typical day h period of the mth year, mth month in the planning cycle; beta is agRepresenting the flexibility modification cost of the thermal power generating unit g;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,showing that the thermal power generating unit g does not perform flexible modification in the y year in the planning period; clInvestment cost for construction of a single-circuit power transmission line on a power transmission corridor l;representing the number of newly added power transmission lines in the y year on the power transmission line corridor l; ρ is the discount rate.
The optimization model includes 13 constraints, which are as follows:
1) the upper and lower limits of active power of a conventional thermal power generating unit are constrained:
wherein,andthe active power upper and lower limits of the thermal power generating unit g are respectively set;the active power of the thermal power generating unit g is the typical day h period of the mth year, mth month in the planning cycle;representing the increased deep peak regulation power of the thermal power generating unit through flexible modification until the y year; delta PgThe method comprises the steps that the depth peak regulation power which can be increased by flexible modification of a thermal power generating unit g is shown;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,representing that the thermal power generating unit g is not subjected to flexibility modification in the y year in a planning period; zgIs a binary variable which indicates whether the live generator g is flexibly modified in a planning period, Zg1 denotes the flexible modification of the generator set g in the planning cycle, ZgAnd (5) indicating that the live generator set g is not flexibly transformed in a planning period as 0.
2) Conventional thermal power generating unit climbing restraint:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgIs a thermal power generating unit gThe climbing rate variable quantity after the flexibility modification;the active power of the thermal power generating unit g is the active power of the thermal power generating unit g in a typical day h-1 of the mth year m and month in the planning period.
3) Node power balance constraint:
wherein, Pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle;the active power predicted value of the wind power plant w in a typical day h period of the mth year m month in the planning cycle;the active power predicted value of the load d in a typical day h period of the mth year m month in the planning cycle; siAnd EiThe total number of the power transmission lines with the node i as a head node and the tail end node respectively; gi、WiAnd DiRespectively representing the total number of thermal power generating units, wind power plants and loads on the node i; and nb is the number of the nodes of the power grid.
4) And (5) abandoned wind power constraint:
wherein, γyAnd indicating the set allowable wind power curtailment rate threshold value in the y year.
5) Transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line on a power transmission line corridor l;a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l; pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l.
6) The maximum extensible line number constraint of the power transmission line corridor is as follows:
wherein Z isl maxAnd the maximum number of the extensible transmission lines is the transmission line corridor l.
7) Node voltage phase angle constraint:
wherein,the voltage phase angle of a node i is a typical day h period of a month m in the y year in the planning cycle.
8) N-1, the upper and lower limits of active power of the thermal power generating unit are constrained under the condition of an expected accident:
wherein,the active power of the thermal power generating unit g under the expected accident k in the typical day h period of the mth year m month in the planning period is shown, and nk is the total number of the expected accidents of the power transmission line N-1.
9) N-1 conventional thermal power generating unit climbing restraint under the condition of anticipated accidents:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;active power of the thermal power generating unit g under the accident k is predicted for a typical day h-1 period of the mth year, mth month in the planning period.
10) N-1 node power balance constraint under the condition of an expected accident:
wherein, Pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;electric power curtailment of the wind farm w under the accident k is envisioned for a typical day h period of mth year, mth month in the planning cycle.
11) N-1 abandon wind power restraint under the condition of anticipated accidents:
wherein,electric power curtailment of the wind farm w under the accident k is envisioned for a typical day h period of mth year, mth month in the planning cycle.
12) N-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
wherein nl is the total number of the transmission line corridors; b islThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; ny is the total year of the planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l;indicating whether the power transmission line corridor is shut down or not under the expected accident k,indicating a wire outage in the k power line corridor under an expected accident,representing that no line is stopped on the transmission line corridor under the expected accident k; pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle; pl maxAnd (3) the transmission capacity of a single-circuit transmission line on the transmission line corridor l.
13) N-1 node voltage phase angle constraint under the expected accident condition:
wherein,and forecasting the voltage phase angle of the node i under the accident k for the typical day h period of the mth year m month in the planning cycle.
And S3, converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and power transmission network multi-stage joint programming scheme.
The mixed integer nonlinear constraint expression is converted into an equivalent mixed integer linear expression, for example, the nonlinear constraint expression in transmission capacity constraint of the power transmission line is converted into an equivalent linear expression:
wherein M is a constant.
Similarly, the nonlinear constraint expression in the transmission capacity constraint of the transmission line under the condition of N-1 expected accident is converted into an equivalent linear expression, namely:
in order to improve the solving calculation efficiency after model conversion, the following auxiliary constraint conditions are introduced:
therefore, the optimization model is converted into a mixed integer linear programming model, and the mixed integer linear programming model can be directly used for solving to obtain a final thermal power generating unit flexibility modification and power transmission network multi-stage combined programming scheme.
The method comprises the steps of constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit based on time value of capital and time sequence characteristics of load, wind power and the like, converting mixed integer nonlinear constraint conditions in the optimization model into mixed integer linear constraint conditions, and solving the converted mixed integer linear programming model by adopting a mixed integer linear programming method, so that a multi-stage joint decision scheme of flexibility transformation of the thermal power generating unit and power transmission network planning is obtained, and the economy of planning operation investment of a power system is improved.
As shown in fig. 2, an embodiment of the present invention further discloses a multi-stage power transmission network planning system considering flexibility of a thermal power generating unit, where the system includes:
the planning model construction module is used for constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit, the optimization model takes the minimum sum of the investment cost and the present value of the operation cost in the whole planning period as a target and comprises a plurality of constraint conditions;
and the model solving module is used for converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and power transmission network multi-stage combined programming scheme.
The system further comprises a model parameter setting module, wherein the model parameter setting module is used for inputting parameters of a traditional thermal power generating unit and parameters of a power transmission element of the power grid in the current situation before the model is built, inputting maximum load, maximum wind power, 24-hour load power and wind power change standard values of typical days of each year in a planning period, setting a range of the thermal power generating unit capable of participating in flexibility modification and a modification cost according to the operation condition of the thermal power generating unit, setting a range of a candidate new power transmission line according to the corridor condition of the power transmission line and a construction cost, and setting a wind power curtailment cost coefficient and a power curtailment rate allowed by the system.
The objective function expression of the optimization model is as follows:
wherein nw is the total number of the wind power plants; ny is the total year of the planning cycle; ng is the number of conventional thermal power generating units; nl is the number of transmission line corridors planned and constructed; alpha is alphawRepresenting wind curtailment penalty cost;the electric power curtailment of the wind power plant w is the typical day h period of the mth year, mth month in the planning cycle; beta is agRepresenting the flexibility modification cost of the thermal power generating unit g;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,showing that the thermal power generating unit g does not perform flexible modification in the y year in the planning period; clInvestment cost for construction of a single-circuit power transmission line on a power transmission corridor l;representing the number of newly added power transmission lines in the y year on the power transmission line corridor l; ρ is the discount rate.
The optimization model includes 13 constraints, which are as follows:
1) the upper and lower limits of active power of a conventional thermal power generating unit are constrained:
wherein,andthe active power upper and lower limits of the thermal power generating unit g are respectively set;the active power of the thermal power generating unit g is the typical day h period of the mth year, mth month in the planning cycle;representing the increased deep peak regulation power of the thermal power generating unit through flexible modification until the y year; delta PgThe method comprises the steps that the depth peak regulation power which can be increased by flexible modification of a thermal power generating unit g is shown;as binary variablesIndicating whether the thermal power generating unit g carries out flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,representing that the thermal power generating unit g is not subjected to flexibility modification in the y year in a planning period; zgIs a binary variable which indicates whether the live generator g is flexibly modified in a planning period, Zg1 denotes the flexible modification of the generator set g in the planning cycle, ZgAnd (5) indicating that the live generator set g is not flexibly transformed in a planning period as 0.
2) Conventional thermal power generating unit climbing restraint:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;the active power of the thermal power generating unit g is the active power of the thermal power generating unit g in a typical day h-1 of the mth year m and month in the planning period.
3) Node power balance constraint:
wherein, Pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle;the active power predicted value of the wind power plant w in a typical day h period of the mth year m month in the planning cycle;the active power predicted value of the load d in a typical day h period of the mth year m month in the planning cycle; siAnd EiThe total number of the power transmission lines with the node i as a head node and the tail end node respectively; gi、WiAnd DiRespectively representing the total number of thermal power generating units, wind power plants and loads on the node i; and nb is the number of the nodes of the power grid.
4) And (5) abandoned wind power constraint:
wherein, γyAnd indicating the set allowable wind power curtailment rate threshold value in the y year.
5) Transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line on a power transmission line corridor l;a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l; pl y,m,hFor planning typical days of mth month in the y year in the periodThe transmission active power of the transmission line corridor l in the h period; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l.
6) The maximum extensible line number constraint of the power transmission line corridor is as follows:
wherein Z isl maxAnd the maximum number of the extensible transmission lines is the transmission line corridor l.
7) Node voltage phase angle constraint:
wherein,the voltage phase angle of a node i is a typical day h period of a month m in the y year in the planning cycle.
8) N-1, the upper and lower limits of active power of the thermal power generating unit are constrained under the condition of an expected accident:
wherein,the active power of the thermal power generating unit g under the expected accident k in the typical day h period of the mth year m month in the planning period is shown, and nk is the total number of the expected accidents of the power transmission line N-1.
9) N-1 conventional thermal power generating unit climbing restraint under the condition of anticipated accidents:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;active power of the thermal power generating unit g under the accident k is predicted for a typical day h-1 period of the mth year, mth month in the planning period.
10) N-1 node power balance constraint under the condition of an expected accident:
wherein, Pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;electric power curtailment of the wind farm w under the accident k is envisioned for a typical day h period of mth year, mth month in the planning cycle.
11) N-1 abandon wind power restraint under the condition of anticipated accidents:
wherein,electric power curtailment of the wind farm w under the accident k is envisioned for a typical day h period of mth year, mth month in the planning cycle.
12) N-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
wherein,nl is the total number of the power transmission line corridors; b islThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; ny is the total year of the planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l;indicating whether the power transmission line corridor is shut down or not under the expected accident k,indicating a wire outage in the k power line corridor under an expected accident,representing that no line is stopped on the transmission line corridor under the expected accident k; pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle; pl maxAnd (3) the transmission capacity of a single-circuit transmission line on the transmission line corridor l.
13) N-1 node voltage phase angle constraint under the expected accident condition:
wherein,for in the planning periodA voltage phase angle of a node i under an accident k is predicted in a period of m months, typical days and h in the y year.
And converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and transmission grid multi-stage combined programming scheme.
The mixed integer nonlinear constraint expression is converted into an equivalent mixed integer linear expression, for example, the nonlinear constraint expression in transmission capacity constraint of the power transmission line is converted into an equivalent linear expression:
wherein M is a constant.
Similarly, the nonlinear constraint expression in the transmission capacity constraint of the transmission line under the condition of N-1 expected accident is converted into an equivalent linear expression, namely:
in order to improve the solving calculation efficiency after model conversion, the following auxiliary constraint conditions are introduced:
therefore, the optimization model is converted into a mixed integer linear programming model, and the mixed integer linear programming model can be directly used for solving to obtain a final thermal power generating unit flexibility modification and power transmission network multi-stage combined programming scheme.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application 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 present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. 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.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Claims (10)
1. A multi-stage power transmission network planning method considering flexibility of a thermal power generating unit is characterized by comprising the following operations:
constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit, wherein the optimization model takes the minimum sum of the investment cost and the present value of the operation cost in the whole planning period as a target and comprises a plurality of constraint conditions;
and converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and transmission grid multi-stage combined programming scheme.
2. The method for planning a multi-stage power transmission network considering the flexibility of the thermal power generating unit according to claim 1, further comprising inputting parameters of a traditional thermal power generating unit and parameters of a power transmission element of a current power grid before constructing the model, inputting maximum load, maximum wind power, and 24-hour load power and wind power change standard values of typical days per month of each year in a planning period, setting a range of the thermal power generating unit capable of participating in the flexibility modification and a modification cost according to the operation condition of the thermal power generating unit, setting a range of a candidate new power transmission line and a construction cost according to the corridor condition of the power transmission line, and setting a wind power curtailment cost coefficient and a system-allowed curtailment rate.
3. The method for multi-stage power transmission network planning with consideration of thermal power generating unit flexibility according to claim 1, wherein an objective function expression of the optimization model is as follows:
wherein nw is the total number of the wind power plants; ny is the total year of the planning cycle; ng is the number of conventional thermal power generating units; nl is the number of transmission line corridors planned and constructed; alpha is alphawRepresenting wind curtailment penalty cost;the electric power curtailment of the wind power plant w is the typical day h period of the mth year, mth month in the planning cycle; beta is agRepresenting the flexibility modification cost of the thermal power generating unit g;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,showing that the thermal power generating unit g does not perform flexible modification in the y year in the planning period; clInvestment cost for construction of a single-circuit power transmission line on a power transmission corridor l;representing the number of newly added power transmission lines in the y year on the power transmission line corridor l; ρ is the discount rate.
4. The method for multi-stage power transmission network planning with consideration of thermal power generating unit flexibility according to claim 1, wherein the constraint condition comprises:
1) the upper and lower limits of active power of a conventional thermal power generating unit are constrained:
wherein,andthe active power upper and lower limits of the thermal power generating unit g are respectively set;the active power of the thermal power generating unit g is the typical day h period of the mth year, mth month in the planning cycle;representing the increased deep peak regulation power of the thermal power generating unit through flexible modification until the y year; delta PgThe method comprises the steps that the depth peak regulation power which can be increased by flexible modification of a thermal power generating unit g is shown;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,representing that the thermal power generating unit g is not subjected to flexibility modification in the y year in a planning period; zgIs a binary variable which indicates whether the live generator g is flexibly modified in a planning period, Zg1 denotes the flexible modification of the generator set g in the planning cycle, ZgWhen the number is 0, the live-wire generator g is not flexibly transformed in a planning period;
2) conventional thermal power generating unit climbing restraint:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;the active power of the thermal power generating unit g is the active power of the thermal power generating unit g in a typical day h-1 of mth month in the planned cycle;
3) node power balance constraint:
wherein, Pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle;the active power predicted value of the wind power plant w in a typical day h period of the mth year m month in the planning cycle;the active power predicted value of the load d in a typical day h period of the mth year m month in the planning cycle; siAnd EiThe total number of the power transmission lines with the node i as a head node and the tail end node respectively; gi、WiAnd DiRespectively representing thermal power generating units and wind on node iThe total number of electric fields and loads; nb is the number of the nodes of the power grid;
4) and (5) abandoned wind power constraint:
wherein, γyRepresenting a set wind power curtailment rate threshold allowed in the y year;
5) transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line on a power transmission line corridor l;a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l; pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
6) the maximum extensible line number constraint of the power transmission line corridor is as follows:
wherein Z isl maxThe maximum number of the extensible power transmission lines is 1;
7) node voltage phase angle constraint:
wherein,a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;
8) n-1, the upper and lower limits of active power of the thermal power generating unit are constrained under the condition of an expected accident:
wherein,active power of the thermal power generating unit g under an expected accident k in a typical day h period of m month in the y year in a planning cycle, wherein nk is the total number of the expected accidents of the power transmission line N-1;
9) n-1 conventional thermal power generating unit climbing restraint under the condition of anticipated accidents:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;forecast accident k for typical day h period of mth month m of the y year in planning cycleThe active power of the lower thermal power generating unit g;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h-1 of mth month in the y year in a planning cycle;
10) n-1 node power balance constraint under the condition of an expected accident:
wherein, Pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
11) n-1 abandon wind power restraint under the condition of anticipated accidents:
wherein,forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
12) n-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
wherein nl is the total number of the transmission line corridors; b islThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; ny is the total year of the planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l;indicating whether the power transmission line corridor is shut down or not under the expected accident k,indicating a wire outage in the k power line corridor under an expected accident,representing that no line is stopped on the transmission line corridor under the expected accident k; pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
13) n-1 node voltage phase angle constraint under the expected accident condition:
5. The method for multi-stage power transmission network planning with consideration of thermal power generating unit flexibility according to claim 4, wherein a non-linear constraint expression in the transmission capacity constraint of the transmission line is converted into an equivalent linear expression:
wherein M is a constant.
6. The method for multi-stage power transmission network planning considering thermal power generating unit flexibility according to claim 4, wherein the nonlinear constraint expression in the transmission capacity constraint of the transmission line under the N-1 expected accident condition is converted into an equivalent linear expression, namely:
7. a multi-stage grid planning system that takes into account thermal power plant flexibility, the system comprising:
the planning model construction module is used for constructing a multi-stage power transmission network planning optimization model considering flexibility transformation of the thermal power generating unit, the optimization model takes the minimum sum of the investment cost and the present value of the operation cost in the whole planning period as a target and comprises a plurality of constraint conditions;
and the model solving module is used for converting the mixed integer nonlinear constraint condition in the optimization model into a mixed integer linear constraint condition, and solving the converted mixed integer linear programming model by using a mixed integer linear programming algorithm to obtain a final thermal power unit flexibility modification and power transmission network multi-stage combined programming scheme.
8. The multi-stage power transmission network planning system considering the flexibility of the thermal power generating unit according to claim 7, further comprising a model parameter setting module, configured to input parameters of a conventional thermal power generating unit and parameters of a power transmission element of a current power grid before a model is constructed, input maximum load, maximum wind power, and 24-hour load power and wind power change per unit value of a typical day per month of each year in a planning period, set a range of the thermal power generating unit that can participate in the flexibility modification according to an operation condition of the thermal power generating unit and set a modification cost, set a range of a candidate new power transmission line according to a corridor condition of the power transmission line and set a construction cost, and set a wind power curtailment cost coefficient and a power curtailment rate allowed by the system.
9. The multi-stage power transmission network planning system considering thermal power generating unit flexibility according to claim 7, wherein an objective function expression of the optimization model is as follows:
wherein nw is the total number of the wind power plants; ny is the total year of the planning cycle; ng is the number of conventional thermal power generating units; nl is the number of transmission line corridors planned and constructed; alpha is alphawRepresenting wind curtailment penalty cost;the electric power curtailment of the wind power plant w is the typical day h period of the mth year, mth month in the planning cycle; beta is agRepresenting the flexibility modification cost of the thermal power generating unit g;for binary variables, representingWhether the thermal power generating unit g is flexibly modified in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,showing that the thermal power generating unit g does not perform flexible modification in the y year in the planning period; clInvestment cost for construction of a single-circuit power transmission line on a power transmission corridor l;representing the number of newly added power transmission lines in the y year on the power transmission line corridor l; ρ is the discount rate.
10. The multi-stage power transmission network planning system considering thermal power generating unit flexibility according to claim 7, wherein the constraint condition comprises:
1) the upper and lower limits of active power of a conventional thermal power generating unit are constrained:
wherein,andthe active power upper and lower limits of the thermal power generating unit g are respectively set;the active power of the thermal power generating unit g is the typical day h period of the mth year, mth month in the planning cycle;representing the increased deep peak regulation power of the thermal power generating unit through flexible modification until the y year; delta PgThe method comprises the steps that the depth peak regulation power which can be increased by flexible modification of a thermal power generating unit g is shown;the binary variable represents whether the thermal power generating unit g is subjected to flexible modification in the y year in the planning period,the thermal power generating unit g is flexibly modified in the y year in the planning period,representing that the thermal power generating unit g is not subjected to flexibility modification in the y year in a planning period; zgIs a binary variable which indicates whether the live generator g is flexibly modified in a planning period, Zg1 denotes the flexible modification of the generator set g in the planning cycle, ZgWhen the number is 0, the live-wire generator g is not flexibly transformed in a planning period;
2) conventional thermal power generating unit climbing restraint:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;a typical day h-1 period of m months in the y year in a planning cycleActive power of the thermal power generating unit g;
3) node power balance constraint:
wherein, Pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle;the active power predicted value of the wind power plant w in a typical day h period of the mth year m month in the planning cycle;the active power predicted value of the load d in a typical day h period of the mth year m month in the planning cycle; siAnd EiThe total number of the power transmission lines with the node i as a head node and the tail end node respectively; gi、WiAnd DiRespectively representing the total number of thermal power generating units, wind power plants and loads on the node i; nb is the number of the nodes of the power grid;
4) and (5) abandoned wind power constraint:
wherein, γyRepresenting a set wind power curtailment rate threshold allowed in the y year;
5) transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line on a power transmission line corridor l;a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l; pl y,m,hThe transmission active power of a power transmission line corridor l in a typical day h period of a month m in the y year in a planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
6) the maximum extensible line number constraint of the power transmission line corridor is as follows:
wherein Z isl maxThe maximum number of the extensible power transmission lines is 1;
7) node voltage phase angle constraint:
wherein,a node i voltage phase angle is a typical day h period of a mth month in the y year in a planning cycle;
8) n-1, the upper and lower limits of active power of the thermal power generating unit are constrained under the condition of an expected accident:
wherein,active power of the thermal power generating unit g under an expected accident k in a typical day h period of m month in the y year in a planning cycle, wherein nk is the total number of the expected accidents of the power transmission line N-1;
9) n-1 conventional thermal power generating unit climbing restraint under the condition of anticipated accidents:
wherein R isgThe ramp rate is the ramp rate of the thermal power generating unit g without modification; Δ RgThe method comprises the steps of changing the climbing rate of a thermal power generating unit g after flexibility modification;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h-1 of mth month in the y year in a planning cycle;
10) n-1 node power balance constraint under the condition of an expected accident:
wherein, Pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle;active power of the thermal power generating unit g under an expected accident k is predicted for a typical day h period of mth month in the y year in a planning cycle;forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
11) n-1 abandon wind power restraint under the condition of anticipated accidents:
wherein,forecasting the abandoned electric power of the wind power plant w under the accident k for the typical day h period of the mth year, mth month in the planning cycle;
12) n-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
wherein,nl is the total number of the power transmission line corridors; b islThe susceptance of a single-circuit power transmission line on a power transmission line corridor l; ny is the total year of the planning cycle;the number of the existing transmission lines on the transmission line corridor l is shown;representing the number of newly added transmission lines in the t year on the transmission line corridor l;indicating whether the power transmission line corridor is shut down or not under the expected accident k,indicating a wire outage in the k power line corridor under an expected accident,representing that no line is stopped on the transmission line corridor under the expected accident k; pl y,m,h,kThe transmission active power of the transmission line corridor l under the expected accident k is predicted for the typical day h period of the mth month in the y year in the planning cycle; pl maxThe transmission capacity of a single-circuit transmission line on a transmission line corridor l;
13) n-1 node voltage phase angle constraint under the expected accident condition:
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