CN104167765A - Admitting ability distribution-based maximum wind power installed capacity calculation method - Google Patents

Admitting ability distribution-based maximum wind power installed capacity calculation method Download PDF

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CN104167765A
CN104167765A CN201410332124.XA CN201410332124A CN104167765A CN 104167765 A CN104167765 A CN 104167765A CN 201410332124 A CN201410332124 A CN 201410332124A CN 104167765 A CN104167765 A CN 104167765A
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wind
maximum wind
installed capacity
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CN104167765B (en
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孙灿
别朝红
宁光涛
高玉洁
胡源
刘熙媛
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Xian Jiaotong University
Hainan Power Grid Co Ltd
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Xian Jiaotong University
Hainan Power Grid Co Ltd
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Abstract

The invention relates to an admitting ability distribution-based maximum wind power installed capacity calculation method. A typical mode of power system operation is selected and a one-day system state sequence is formed; a maximum admitting ability evaluation model is established, and maximum admitting abilities of different system nodes are obtained by using the maximum wind power admitting ability as the target and the thermal power generating unit timing sequence output as the variable with consideration of the peak shaving constraint, the frequency modulation constraint, the line power flow constraint, and the power balancing constraint; according to a fan output characteristic curve, the maximum admitting abilities are converted into maximum wind power installed capacities that can be accepted by the system; multi-times simulation is carried out on uncertainty of the system state until convergence, thereby obtaining probability distribution of the wind power maximum installed capacity; and a confidence coefficient is given and a corresponding maximum wind power installed capacity is selected. The provided method has characteristics of comprehensiveness and high universality and practicality in engineering.

Description

A kind of maximum wind installed capacity computational methods that distribute based on receiving ability
Technical field
The invention belongs to power system planning field, relate in particular to a kind of maximum wind installed capacity computational methods that distribute based on receiving ability.
Background technology
Under the dual-pressure of energy shortage and environmental pollution, the regenerative resource of China had obtained huge development in recent years, and wind power generation, because technology maturation, utilization ratio are high, is subject to very large attention.But exerting oneself of wind energy turbine set is frequent fluctuation significantly, this has brought serious impact to the conventional electric power systems organization operating mechanism forming for many years.
Although national relevant laws and regulations requirement wind-powered electricity generation must be all grid-connected, there is serious discrepancy in the projects such as Wind Power Project and electrical network.Some local Large scale construction wind energy turbine set, the far super expection of scale, and also Wind Power Project previous work flow process is relatively simple, checks and approves progress fast, and the construction period is short; Relatively, electrical network connecting system approval procedure complexity, influencing factor is many, and co-ordination difficulty is large, and the construction period of engineering is also longer, and a lot of local electrical network and peaking power source construction do not catch up with Wind Power Development paces.Aspect planning construction, more exist part to economize the problems such as the planning of (district) Wind Power Development is uncertain, frequent adjustment, cause power grid construction at a loss as to what to do, wind energy turbine set and other auxiliary facility are inharmonious.
This has just caused some areas power generation project planning construction and has connect that net project planning builds that inharmonious, generation engineering is checked and approved with supporting electricity power engineering and the construction period such as does not mate at the problem.Be reflected in actual motion, will cause a large amount of appearance of " abandoning wind " phenomenon, this not only causes ample resources waste, and has seriously restricted the sound development of wind-powered electricity generation industry.Therefore,, in order rationally to instruct installed capacity of wind-driven power planning, be necessary that maximum installed capacity is studied and calculated to wind-powered electricity generation.
Summary of the invention
The object of the invention is to propose a kind of maximum wind installed capacity computational methods that distribute based on receiving ability, the method has stronger versatility and engineering practicability.
In order to achieve the above object, the technical solution used in the present invention comprises the following steps:
1) initial data of input electric power system, definition maximum analog times N max, the condition of convergence is set to the coefficient of variation β of the maximum receiving ability of electric power system mIRICbe less than given convergence criterion epsilon; The typical way of selected power system operation, and set simulation number of times K=1;
2) simulate the sequential system state of a day under this typical way, the sequential system state of a day comprises that the sequential of sequential daily load curve, sequential wind speed and circuit running status, water power exerts oneself and fired power generating unit open state;
3) the sequential system state of a day is solved to maximum wind and receive capability model, the maximum wind obtaining on different nodes is received ability P r,jand probability distribution, then utilize the maximum wind on different nodes to receive ability P r,jand probability distribution obtains total maximum wind receiving ability and probability distribution, within one day, maximum wind receives the solving equation of capability model to be:
In formula, N sthe node number of-canonical system;
P r, j, t-wind-powered electricity generation unit j exerting oneself in the t period;
Wherein, one day maximum wind receives the constraint of capability model to comprise node power Constraints of Equilibrium, peak regulation constraint, frequency modulation constraint and Line Flow constraint;
4) from wind-powered electricity generation unit output characteristic curve, the maximum wind of different nodes is received to ability P according to sequential wind speed r,jbe converted into the maximum wind installed capacity of different nodes, obtain total maximum wind installed capacity by the maximum wind installed capacity of different nodes;
5) if simulation number of times K equals N max, and meeting the condition of convergence, the cumulative probability that obtains the maximum wind installed capacity of different nodes distributes, and then enters next step, otherwise, return to step 2) simulate next time;
6) given confidence level p, distributes and obtains the maximum wind installed capacity value P corresponding to cumulative probability (1-p) according to the cumulative probability of the maximum wind installed capacity of different nodes ins;
7) add up and export all maximum winds and receive capacity index, and receive capacity index to implement wind-electricity integration according to all maximum winds; Wherein, all wind-powered electricity generations are maximum receives the maximum wind that capacity index comprises different nodes to receive ability P r,jand probability distribution, maximum wind installed capacity and the probability distribution of different nodes, total maximum wind is received ability and probability distribution, total maximum wind installed capacity and probability distribution, corresponding to the maximum wind installed capacity value P of cumulative probability (1-p) ins.
Described step 1) in convergence criterion epsilon be 0.05 or 0.01.
Described step 1) in initial data be power plant data, circuit on power system data and power system load data, typical way is that the summer is large, the summer is little, the winter is large or the winter is little.
Described step 2) in the method for the sequential system state of a day of simulation under this typical way be:
2.1) sequential daily load curve, sequential wind speed and the circuit running status of the typical way of simulation power system operation; Then on sequential daily load curve, utilize the ascending mode of hourage to arrange the run location of Hydropower Unit by water power, the sequential that obtains water power is exerted oneself;
2.2) sequential that deducts water power on sequential daily load curve is exerted oneself, and is revised accordingly sequential daily load curve;
2.3) utilize correction sequential daily load curve to obtain electric power system day peak load P' lmax, according to electric power system day peak load P' lmaxthe day minimum start capacity that obtaining fired power generating unit needs is P' lmax(1+r%), and the r percentage reserve that is electric power system;
2.4) arrange one by one fired power generating unit start, until start capacity is greater than the day minimum start capacity P' of fired power generating unit needs lmax(1+r%), till, obtain fired power generating unit open state.
Described step 2.4) in to arrange one by one fired power generating unit start be what to be started shooting according to cost of electricity-generating order from low to high.
Described step 3) in node power Constraints of Equilibrium be P t,t=P l,t-P h,t-P r,t+ B θ; Wherein, P t,tfor fired power generating unit exerting oneself in the t period; P l,tfor load is in the value of t period; P h,tfor Hydropower Unit exerting oneself in the t period; P r,tfor wind-powered electricity generation unit exerting oneself in the t period; B is the imaginary part of node admittance matrix; θ is node voltage phase angle vector;
The form of peak regulation constraint is P gmin<P t,t<P gmax; Wherein, P gminrepresent the meritorious minimum load of fired power generating unit, P gmaxrepresent the meritorious maximum output of fired power generating unit;
The form of frequency modulation constraint is P t,t-P t, t-1>-R down, TΔ t, P t,t-P t, t-1<R up, TΔ t; Wherein, R down, Tfor the downward climbing rate of generator, R up, Tfor the ratio of slope of climbing of generator; P t, t-1for fired power generating unit exerting oneself in the t-1 period;
The form of Line Flow constraint is P l<P l, max; Wherein, P lfor the active power flowing through on circuit, P l, maxfor the maximum power that allows on circuit to flow through.
Described step 4) in transform adopt following formula obtain:
P w×int(P R,j/P O)
Wherein, P wfor the single-machine capacity of wind-powered electricity generation unit, v tfor the wind speed of moment t, P ofor wind speed v tcorresponding unit wind power output power, int represents rounding operation;
Total maximum wind installed capacity adopts following formula to obtain:
P w &times; int ( &Sigma; j = 1 N S P R , j / P O ) .
Compared with prior art, beneficial effect of the present invention is:
The present invention receives the computation model of ability by setting up maximum wind, calculate load fluctuation, peak-frequency regulation, maximum under the constraint such as Line Flow is received ability, obtain the maximum wind installed capacity of different nodes by sequential wind speed and wind-powered electricity generation unit output characteristic curve, and the cumulative probability that obtains maximum wind installed capacity after simulation repeatedly distributes, this can be for planning personnel provides maximum wind installed capacity and the distribution on different nodes, and the method before comparing is more comprehensive.In addition, the present invention can select the typical way of power system operation, therefore, the maximum wind installed capacity cumulative probability that the present invention not only can be used for analyzing under specific run mode distributes, can also consider the variation of the operational mode of electricity generation system, combine with timing simulation, obtain the maximum wind installed capacity under the different typical operation modes of electric power system, concrete stronger versatility and engineering practicability.Meanwhile, confidence level used in the present invention is given by planning personnel, and to different confidence levels, the present invention can provide corresponding wind-powered electricity generation maximum installed capacity value, has very large flexibility, important reference is provided to systems organization personnel.
Brief description of the drawings
Fig. 1 is calculation flow chart of the present invention;
Fig. 2 is the characteristic curve of blower fan output;
Fig. 3 is that maximum wind installed capacity cumulative probability distributes.
Embodiment
Below in conjunction with accompanying drawing, the present invention is described in further details.
Referring to Fig. 1, the present invention is based on the maximum installed capacity computational methods of wind-powered electricity generation that receiving ability distributes, comprise selecting system state, the maximum capability evaluation of receiving, installed capacity of wind-driven power calculates three parts, is specifically divided into following steps:
(1) selecting system state:
1, the initial data of input electric power system, definition maximum analog times N maxand the condition of convergence, the condition of convergence is set to the coefficient of variation β of the maximum receiving ability of electric power system mIRICbe less than given convergence criterion epsilon; Convergence criterion epsilon is 0.05 or 0.01; The typical way of selected power system operation, and set simulation number of times K=1; Wherein, initial data comprises power plant data, circuit on power system data and power system load data; Typical way is that the summer is large, the summer is little, the winter is large or the winter is little;
2, simulate the sequential system state of a day under this typical way, the sequential system state of a day comprises that the sequential of sequential daily load curve, sequential wind speed and circuit running status, water power exerts oneself and fired power generating unit open state; Fired power generating unit start-up mode is larger to influence on system operation, the present invention is mainly the installed capacity problem of considering wind-powered electricity generation from the angle of planning, therefore needn't be meticulous as in economic dispatch model to the start-up mode of thermoelectricity, but it must meet peak load and the stand-by requirement of system.The detailed process of simulating the sequential system state of a day under this typical way is:
2.1) sequential daily load curve, sequential wind speed and the circuit running status of the typical way of simulation power system operation; Then the run location that arranges Hydropower Unit according to the descending mode of sequential daily load curve water power water yield utilization ratio, the sequential that obtains water power is exerted oneself;
2.2) sequential that deducts water power on sequential daily load curve is exerted oneself, and is revised accordingly sequential daily load curve;
2.3) utilize correction sequential daily load curve to obtain electric power system day peak load P' lmax, according to electric power system day peak load P' lmaxthe day minimum start capacity that obtaining fired power generating unit needs is P' lmax(1+r%), and the r percentage reserve that is electric power system;
2.4) arrange one by one fired power generating unit start, until start capacity is greater than the day minimum start capacity P' of fired power generating unit needs lmax(1+r%), till, obtain fired power generating unit open state; And arranging one by one fired power generating unit start is what to be started shooting according to cost of electricity-generating order from low to high, first start (nuclear power, the coal-fired unit of large capacity) as low in unit cost of electricity-generating, rear start (the little coal-fired unit that cost of electricity-generating is high, combustion gas unit) or coal-fired unit first start shooting, after combustion gas unit, start shooting, in same type generating set, the minimum technology large generating set of exerting oneself is preferentially started shooting.
(2) the maximum capability evaluation of receiving:
3, set up the maximum capability assessment model of receiving, be target to the maximum with wind-powered electricity generation receiving ability, exert oneself as variable taking fired power generating unit sequential, consider peak regulation constraint, frequency modulation constraint, Line Flow constraint and power-balance constraint, the maximum that obtains different system node is received ability.Concrete, the sequential system state of a day being solved to maximum wind and receive capability model, the maximum wind obtaining on different nodes is received ability P r,jand probability distribution, then utilize the maximum wind on different nodes to receive ability P r,jand probability distribution obtains total maximum wind receiving ability and probability distribution, within one day, maximum wind receives the solving equation of capability model to be: in formula, N sthe node number of-canonical system;
P r, j, t-wind-powered electricity generation unit j exerting oneself in the t period;
Within one day, maximum wind receives the constraint of capability model to comprise node power Constraints of Equilibrium, peak regulation constraint, frequency modulation constraint and Line Flow constraint;
3.1) form of node power Constraints of Equilibrium as shown in the formula
P T,t=P L,t-P H,t-P R,t+Bθ
P t,tfor fired power generating unit exerting oneself in the t period; P l,tfor load is in the value of t period; P h,tfor Hydropower Unit exerting oneself in the t period; P r,tfor wind-powered electricity generation unit exerting oneself in the t period; B is the imaginary part of node admittance matrix; θ is node voltage phase angle vector;
In node power Constraints of Equilibrium, need to carry out a large amount of trends and calculate, adopt DC power flow algorithm herein, the method computational speed is fast and can meet requirement of engineering precision.DC power flow equation can be described by following formula:
P g-P d=Bθ
In formula: P gfor system generator output vector; P dfor system loading vector;
3.2) form of peak regulation constraint is: P gmin<P t,t<P gmax; Wherein, P gminrepresent the meritorious minimum load of fired power generating unit, P gmaxrepresent the meritorious maximum output of fired power generating unit;
3.3) form of frequency modulation constraint is P t,t-P t, t-1>-R down, TΔ t, P t,t-P t, t-1<R up, TΔ t; Wherein, R down, T isthe downward climbing rate of generator, R up, Tfor the ratio of slope of climbing of generator; P t, t-1for fired power generating unit exerting oneself in the t-1 period;
3.4) form of Line Flow constraint is P l<P l, max; Wherein, P lfor the active power flowing through on circuit, P l, maxfor the maximum power that allows on circuit to flow through.
4) from wind-powered electricity generation unit output characteristic curve, the maximum wind of different nodes is received to ability P according to sequential wind speed r,jbe converted into the maximum wind installed capacity P of different nodes w× int (P r,j/ P o); Obtain total maximum wind installed capacity by the maximum wind installed capacity of different nodes wherein, P wfor the single-machine capacity of wind-powered electricity generation unit, v tfor the wind speed of moment t, P ofor wind speed v tcorresponding unit wind power output power, int represents rounding operation (wind-powered electricity generation unit output characteristic curve is as shown in Figure 2); β β γ in Fig. 2 ci, γ r, γ corepresent respectively incision wind speed, rated wind speed and the cut-out wind speed of wind-powered electricity generation unit.γ trepresent the wind speed in t moment.
(3) installed capacity of wind-driven power calculates:
5) if simulation number of times K equals N max, and meeting the condition of convergence, the cumulative probability that obtains the maximum wind installed capacity of different nodes distributes (as shown in Figure 2), then enters next step, otherwise, return to step 2) simulate next time;
6) given confidence level p, distributes and obtains the maximum wind installed capacity value P corresponding to cumulative probability (1-p) according to the cumulative probability of the maximum wind installed capacity of different nodes ins;
7) add up and export all maximum winds and receive capacity index, and receive capacity index to implement wind-electricity integration according to all maximum winds; Wherein, all wind-powered electricity generations are maximum receives the maximum wind that capacity index comprises different nodes to receive ability P r,jand probability distribution, the maximum wind installed capacity P of different nodes w× int (P r,j/ P o) and probability distribution, total maximum wind is received ability and probability distribution, total
Maximum wind installed capacity and probability distribution, corresponding to the maximum wind installed capacity value P of cumulative probability (1-p) ins.
Taking certain practical power systems as example, the maximum wind installed capacity that different node confidence levels are 0.97 is as shown in table 1, and large mode of whole system summer is repeatedly simulated rear total maximum wind installed capacity and distributed as shown in Figure 3.Result demonstration, this method can be assessed wind-powered electricity generation installation potentiality and the distribution of different nodes.
The installed capacity of the different node maximum wind of table 1, MW

Claims (7)

1. maximum wind installed capacity computational methods that distribute based on receiving ability, is characterized in that, comprise the following steps:
1) initial data of input electric power system, definition maximum analog times N max, the condition of convergence is set to the coefficient of variation β of the maximum receiving ability of electric power system mIRICbe less than given convergence criterion epsilon; The typical way of selected power system operation, and set simulation number of times K=1;
2) simulate the sequential system state of a day under this typical way, the sequential system state of a day comprises that the sequential of sequential daily load curve, sequential wind speed and circuit running status, water power exerts oneself and fired power generating unit open state;
3) the sequential system state of a day is solved to maximum wind and receive capability model, the maximum wind obtaining on different nodes is received ability P r,jand probability distribution, then utilize the maximum wind on different nodes to receive ability P r,jand probability distribution obtains total maximum wind receiving ability and probability distribution, within one day, maximum wind receives the solving equation of capability model to be:
In formula, N sthe node number of-canonical system;
P r, j, t-wind-powered electricity generation unit j exerting oneself in the t period;
Wherein, one day maximum wind receives the constraint of capability model to comprise node power Constraints of Equilibrium, peak regulation constraint, frequency modulation constraint and Line Flow constraint;
4) from wind-powered electricity generation unit output characteristic curve, the maximum wind of different nodes is received to ability P according to sequential wind speed r,jbe converted into the maximum wind installed capacity of different nodes, obtain total maximum wind installed capacity by the maximum wind installed capacity of different nodes;
5) if simulation number of times K equals N max, and meeting the condition of convergence, the cumulative probability that obtains the maximum wind installed capacity of different nodes distributes, and then enters next step, otherwise, return to step 2) simulate next time;
6) given confidence level p, distributes and obtains the maximum wind installed capacity value P corresponding to cumulative probability (1-p) according to the cumulative probability of the maximum wind installed capacity of different nodes ins;
7) add up and export all maximum winds and receive capacity index, and receive capacity index to implement wind-electricity integration according to all maximum winds; Wherein, all wind-powered electricity generations are maximum receives the maximum wind that capacity index comprises different nodes to receive ability P r,jand probability distribution, maximum wind installed capacity and the probability distribution of different nodes, total maximum wind is received ability and probability distribution, total maximum wind installed capacity and probability distribution, corresponding to the maximum wind installed capacity value P of cumulative probability (1-p) ins.
According to claim 1 based on receiving ability distribute maximum wind installed capacity computational methods, it is characterized in that: described step 1) in convergence criterion epsilon be 0.05 or 0.01.
3. the maximum wind installed capacity computational methods that distribute based on receiving ability according to claim 1, it is characterized in that: described step 1) in initial data be power plant data, circuit on power system data and power system load data, typical way is that the summer is large, the summer is little, the winter is large or the winter is little.
4. according to the maximum wind installed capacity computational methods that distribute based on receiving ability described in claim 1 or 3, it is characterized in that described step 2) in the method for the sequential system state of a day of simulation under this typical way be:
2.1) sequential daily load curve, sequential wind speed and the circuit running status of the typical way of simulation power system operation; Then on sequential daily load curve, utilize the ascending mode of hourage to arrange the run location of Hydropower Unit by water power, the sequential that obtains water power is exerted oneself;
2.2) sequential that deducts water power on sequential daily load curve is exerted oneself, and is revised accordingly sequential daily load curve;
2.3) utilize correction sequential daily load curve to obtain electric power system day peak load P' lmax, according to electric power system day peak load P' lmaxthe day minimum start capacity that obtaining fired power generating unit needs is P' lmax(1+r%), and the r percentage reserve that is electric power system;
2.4) arrange one by one fired power generating unit start, until start capacity is greater than the day minimum start capacity P' of fired power generating unit needs lmax(1+r%), till, obtain fired power generating unit open state.
5. the maximum wind installed capacity computational methods that distribute based on receiving ability according to claim 4, is characterized in that: described step 2.4) in to arrange one by one fired power generating unit start be what to be started shooting according to cost of electricity-generating order from low to high.
6. the maximum wind installed capacity computational methods that distribute based on receiving ability according to claim 1, is characterized in that,
Described step 3) in node power Constraints of Equilibrium be P t,t=P l,t-P h,t-P r,t+ B θ; Wherein, P t,tfor fired power generating unit exerting oneself in the t period; P l,tfor load is in the value of t period; P h,tfor Hydropower Unit exerting oneself in the t period; P r,tfor wind-powered electricity generation unit exerting oneself in the t period; B is the imaginary part of node admittance matrix; θ is node voltage phase angle vector;
The form of peak regulation constraint is P gmin<P t,t<P gmax; Wherein, P gminrepresent the meritorious minimum load of fired power generating unit, P gmaxrepresent the meritorious maximum output of fired power generating unit;
The form of frequency modulation constraint is P t,t-P t, t-1>-R down, TΔ t, P t,t-P t, t-1<R up, TΔ t; Wherein, R down, Tfor the downward climbing rate of generator, R up, Tfor the ratio of slope of climbing of generator; P t, t-1for fired power generating unit exerting oneself in the t-1 period;
The form of Line Flow constraint is P l<P l, max; Wherein, P lfor the active power flowing through on circuit, P l, maxfor the maximum power that allows on circuit to flow through.
According to claim 1 based on receiving ability distribute maximum wind installed capacity computational methods, it is characterized in that: described step 4) in transform adopt following formula obtain:
P w×int(P R,j/P O)
Wherein, P wfor the single-machine capacity of wind-powered electricity generation unit, v tfor the wind speed of moment t, P ofor wind speed v tcorresponding unit wind power output power, int represents rounding operation;
Total maximum wind installed capacity adopts following formula to obtain:
P w &times; int ( &Sigma; j = 1 N S P R , j / P O ) .
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CN104767222A (en) * 2015-05-06 2015-07-08 国家电网公司 Regional power grid maximum wind power admitting ability calculating method based on cluster output section
CN104767222B (en) * 2015-05-06 2016-11-30 国家电网公司 The area power grid maximum wind receiving capacity calculation method exerting oneself interval based on cluster
CN105048491A (en) * 2015-06-29 2015-11-11 国电南瑞科技股份有限公司 Multi-stage wind power accepted range calculating method based on unit combination and economic dispatching
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CN106528912A (en) * 2016-09-19 2017-03-22 国网浙江省电力公司经济技术研究院 Method for estimating frequency regulation capacity of wind power plant
CN108736513B (en) * 2018-05-04 2022-06-21 国网青海省电力公司 Annual wind power plant frequency risk assessment method considering second-level wind speed correlation
CN108736513A (en) * 2018-05-04 2018-11-02 国网青海省电力公司 Consider the wind-powered electricity generation field frequencies range methods of risk assessment in the year of second grade wind speed correlation
CN108832658A (en) * 2018-06-22 2018-11-16 三峡大学 A kind of wind power penetration limit calculation method considering frequency constraint and wind-powered electricity generation frequency modulation
CN108832658B (en) * 2018-06-22 2021-06-04 三峡大学 Wind power penetration power limit calculation method considering frequency constraint and wind power frequency modulation
CN110555786A (en) * 2019-09-10 2019-12-10 国家电网有限公司 Power grid source bearing capacity evaluation method based on data driving and scene analysis method
CN110555786B (en) * 2019-09-10 2023-08-11 国网安徽省电力公司滁州供电公司 Power grid network source bearing capacity assessment method based on data driving and scenario analysis method
CN111415041A (en) * 2020-03-20 2020-07-14 海南电网有限责任公司 Method for evaluating economy of power grid planning scheme
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CN112085360A (en) * 2020-08-28 2020-12-15 华能澜沧江水电股份有限公司 Startup and shutdown strategy matrix model capable of meeting power station active power
CN112085360B (en) * 2020-08-28 2022-07-12 华能澜沧江水电股份有限公司 Method for constructing startup and shutdown strategy matrix model capable of meeting power station active power

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