CN110380447B - Risk reduction scheduling method for electricity-gas interconnection energy system under failure of fan - Google Patents
Risk reduction scheduling method for electricity-gas interconnection energy system under failure of fan Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/28—Arrangements for balancing of the load in a network by storage of energy
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- H02J3/386—
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/48—Controlling the sharing of the in-phase component
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/70—Wind energy
- Y02E10/76—Power conversion electric or electronic aspects
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E70/00—Other energy conversion or management systems reducing GHG emissions
- Y02E70/30—Systems combining energy storage with energy generation of non-fossil origin
Abstract
The invention provides a risk reduction scheduling method for an electricity-gas interconnected energy system under the condition of fan failure, which is used for solving the problem that the risk of the safe operation of the electricity-gas interconnected energy system is higher due to the failure of a wind turbine generator set caused by the failure of a power grid and the failure of the generator set in the prior art, and comprises the steps of establishing a fan failure risk index of the electricity-gas interconnected system considering P2G based on the operation characteristics of the electricity-gas interconnected system and the fan failure risk; the method fully considers the constraint of an electric power system and the constraint of a natural gas system, establishes a multi-objective optimization model with the minimum risk of fan failure and the minimum coal consumption cost of a coal-fired unit, solves the contradiction between the risk and the coal consumption cost in the operation process of the system, further realizes risk reduction scheduling of the electric-gas interconnected energy system, and improves the wind power consumption capability of the electric-gas interconnected system.
Description
Technical Field
The invention relates to the field of control of an electricity-gas interconnection system, in particular to a risk reduction scheduling method for an electricity-gas interconnection energy system under failure of a fan.
Background
Under the drive of energy crisis and environmental problems, the power generation of new energy resources such as wind power and the like is rapidly developed, but due to the fluctuation of output, the difficulty in wind power absorption becomes a difficult problem to be solved urgently in the field of electric power and energy. The function of natural gas resources in energy balance is continuously strengthened, and the natural gas resources have the advantages of environmental protection, high efficiency, abundant reserves and the like, so that the gas power generation is more and more emphasized. Natural gas is an important primary energy source, and natural gas networks have similar energy flow patterns as power networks. With the large-scale grid connection of the gas turbine set, the electric power network and the natural gas network are closely connected, so that the electricity-gas interconnected energy system becomes the basis and transition of the energy Internet.
The electricity-gas interconnection energy system is a powerful platform for realizing the coordination and high-efficiency utilization of heterogeneous energy and promoting the sustainable development of energy, and is also an important development trend in the field of energy utilization in the global scope. However, the variable-speed constant-frequency wind turbine generator adopts the power electronic converter as a grid-connected interface or an excitation power supply, and the vulnerability of the power electronic equipment not only greatly improves the failure rate of the wind turbine generator, but also easily causes the protection action of the wind turbine generator and even the grid disconnection due to the impact of the power grid failure, which can cause the failure of the wind turbine generator. With the continuous increase of the installed capacity of wind power, the influence of the failure of the fan on the power grid draws more and more attention, but the safety problem of the power grid caused by the failure of the fan cannot be thoroughly solved due to the restriction of the controllable capacity and the control response speed of the power grid. In an electricity-gas interconnected energy system, the failure of a wind turbine generator not only can cause the problems of chain reaction, stability and the like of a power grid, but also can cause the expansion of the influence range and degree of the power grid fault due to the coupling of an electric power system and a gas system.
The P2G (Power to Gas, renewable energy Power generation technology) device can convert surplus electric energy of new energy such as wind Power in the Power system into natural Gas, and inject the natural Gas into the natural Gas system for storage and transmission, thereby relieving the wind abandoning phenomenon. The energy conversion and space-time translation characteristics of the electric gas conversion technology provide an effective way for new energy consumption and load peak clipping and valley filling. The electric gas conversion device and the gas turbine set are high in response speed and can be flexibly scheduled, and particularly, the sufficient energy storage of the gas system provides a large margin for emergency control of the power system. The close interaction of the power system and the natural gas system provides an effective technical approach for solving the power grid safety problem caused by the failure of the fan.
At present, the operation and regulation of each energy system are basically independent, so that not only is the comprehensive utilization efficiency of energy low, but also the energy systems are lack of mutual support and coordination in emergency states such as faults and the like, and even the operation state of the system can be deteriorated. In recent years, research on the optimized operation of the electric-gas interconnection system is gradually increased, but the related method basically takes economy as an optimization target, and the safety risk of the interconnection system is not considered. At present, a method for scheduling risk reduction of a single power system under the condition of fan failure exists, but the characteristics of the safety risk of the power system in an electricity-gas interconnected system are different from those of the single power system due to the special operation principle of an electricity-gas conversion device and the control strategy of a gas unit, and the scheduling method of the single power system is difficult to be directly applied to the electricity-gas interconnected energy system. Therefore, the existing scheduling method does not consider the influence of the gas system on the operation risk of the power system, and for the electricity-gas interconnected energy system containing wind power, the increase of the system operation risk caused by the failure of the fan can be caused, so that the safe operation of the system is not facilitated.
In conclusion, how to provide a new risk reduction scheduling method fully considers the influence of an electric gas conversion device on a natural gas system and an electric power system, reduces the safety risk problem possibly brought to an electric-gas interconnection system by fan failure on the basis of ensuring economy, and becomes a problem which needs to be solved urgently by technical personnel in the field.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a risk reduction scheduling method of an electricity-gas interconnected energy system under the condition of fan failure, which establishes a fan failure risk index of the electricity-gas interconnected system considering P2G on the basis of considering the operation characteristics of the electricity-gas interconnected system and the fan failure risk, performs optimized scheduling under the relevant operation constraint conditions of an electric power system and a natural gas system by taking the minimum fan failure risk and the minimum coal consumption of a coal-fired unit as objective functions, so as to solve the contradiction between the risk and the coal consumption cost in the operation process of the system, further realize the risk reduction scheduling of the electricity-gas interconnected energy system and improve the wind power consumption capability of the electricity-gas interconnected system.
In order to solve the technical problems, the invention adopts the following technical scheme:
a risk reduction scheduling method for an electricity-gas interconnection energy system under failure of a fan is used for the electricity-gas interconnection energy system containing wind power generation based on a gas turbine set and an electricity-to-gas conversion device, and comprises the following steps:
s101, obtaining failure probability lambda of a fan caused by power grid faults by monitoring active power, reactive power, machine end voltage, grid connection point voltage and system frequency of a wind turbine generatorGWAnd calculating the failure probability lambda of the fan caused by the self fault of the unit by monitoring the wind speed informationWBased on the failure probability lambda of the fan caused by the grid faultGWAnd the failure probability lambda of the fan caused by the self failure of the unitWCalculating the total failure probability of the fan;
s102, calculating a Risk index Risk of fan failure in the electric-gas interconnected energy system containing the electric power to the gas based on the total fan failure probability and the load loss of the electric-gas interconnected energy system containing the electric power to the gas after the fan failureW；
S103, establishing a risk reduction scheduling model of fan failure of the power-gas interconnected energy system containing power to gas with the aim of minimizing the risk index of fan failure and the coal consumption cost of the coal-fired unit;
and S104, inputting the total failure probability of the fan, the active output of a wind power field in the system after the fan fails and the system load value into a risk reduction scheduling model of the fan failure of the electric-gas interconnection energy system containing the electricity to the gas, solving the risk reduction scheduling model of the fan failure of the electric-gas interconnection energy system containing the electricity to the gas, determining the output of each generator set and using the output as a scheduling instruction to schedule the electric-gas interconnection energy system containing the electricity to the gas.
Preferably, in step S101, the fan failure probability λ caused by the fan self-failure is calculated by using the following formulaW：
Wherein, Δ λWIs the fan failure rate increase caused by the increase of the wind speed; lambda [ alpha ]maxIs the cut-out wind speed vcoA corresponding fan failure rate; lambda [ alpha ]minIs cut-in wind speed vciA corresponding fan failure rate; k is a radical ofWIs a constant related to the cut-in wind speed and the cut-out wind speed,
preferably, in step S102, the Risk index Risk of fan failureWCalculated as follows:
RiskW＝(λGW+λW)PW.dis
wherein, PW.disFor loss of the fanThe lost load of the electric-gas interconnection energy system containing electricity to gas after the effect;
load loss amount P of electricity-gas interconnected energy system containing electricity to gas after fan failureW.disCalculated as follows:
PW.dis＝PG+PGT+PW.dam-PP2G-PL
wherein, PGThe active power of a coal-fired unit in the electric-gas interconnection energy system containing electricity to gas after the fan fails; pGTThe active power output of a gas unit in the electric-gas interconnection energy system containing electricity to gas after the fan fails; pP2GThe active power consumed by a P2G device in the electric-gas interconnection energy system containing the electricity to the gas after the fan is out of work; pW.damThe active output of a wind power field in the system after the failure of the fan is obtained;
active power P of gas turbine unit in electric-gas interconnected energy system containing electricity to gas after fan failureGTThe mathematical model of (a) is as follows:
wherein j is 1,2, …, NGT，NGTThe number of gas units in the electricity-gas interconnection energy system for converting electricity into gas; phi is aGT.j、FGT.jRespectively the conversion efficiency and the consumed natural gas amount of the jth gas unit;
active power P of wind power field in electric-gas interconnected energy system containing electricity to gas after fan failureW.damThe calculation formula of (a) is as follows:
PW.dam＝PW-P∑.dam
in the formula (I), the compound is shown in the specification,
Wherein k is 1,2, …,NW，NWthe number of wind generating sets in the electric-gas interconnected energy system containing electricity to gas; pWActive power output of all wind power plants during normal operation; n isW.kThe number of wind generating sets in the kth wind power plant; pwt.kActive power output by a wind power unit in the kth wind power plant; v. ofW.kThe wind speed of the kth wind power plant; v. ofci、vcr、vcoRespectively the cut-in wind speed, the rated wind speed and the cut-out wind speed of the wind turbine generator; pwt.NThe rated power of the wind turbine generator is set; p∑·damFor the active power output of all the failed wind turbines in normal operation,
nGW.k.damthe number of the failed wind generation sets in the kth wind power plant caused by the grid fault is determined; n iswt.k.damThe number of the failed wind generation sets of the kth wind power plant caused by the fault of the fan is set;
gas output quantity of P2G device jointly operated with ith wind power plant in electricity-gas interconnected energy system with electricity-to-gas conversion function after fan failure and active power P consumed by gas output quantityP2G.iIn this regard, the mathematical model is as follows:
wherein phi isP2G.iThe conversion efficiency of a P2G device operating in conjunction with the ith wind farm; hgIs the heat value of natural gas; delta PW.iThe active power consumed by a P2G device in the electricity-gas interconnected energy system containing electricity to gas after the failure of a fan is the abandoned wind power of the ith wind power plant
Preferably, in step S103, the risk reduction scheduling model for fan failure of the electrical-to-gas interconnection energy system including electrical to gas conversion includes an objective function and a constraint condition, where:
with minimum risk of fan failure F1And coal-fired unit coal consumption minimum F2As a target, the objective function is:
wherein, T is 24, and T is the time period number of one day; riskW.tIs a risk index of fan failure of the electric-gas interconnection energy system containing electricity to gas in the period of t, wherein s is 1,2, …, NG，NGThe number of coal-fired units in the electric-gas interconnected energy system for converting electricity into gas; pG.s.tThe active power output of the s coal-fired unit in the t period; a iss、bs、csThe coal consumption coefficients of the s-th coal-fired unit are all obtained;
the constraint conditions comprise power system constraint and natural gas system constraint, wherein the power system constraint comprises power system active power balance constraint, coal-fired unit output constraint, coal-fired unit climbing rate constraint, wind power plant wind curtailment rate constraint, gas unit output constraint and node voltage constraint, and the natural gas system constraint comprises natural gas network flow balance constraint, gas source point flow constraint, pipeline node pressure constraint, compressor compression ratio constraint, natural gas storage constraint and gas storage tank flow constraint;
active power balance constraint of the power system:
wherein s is 1,2, …, NG，j＝1,2,…,NGT，i＝1,2,…,NW，k＝1,2,…,NW，NGNumber of coal-fired units in an electric-gas interconnected energy system for converting electricity into gas, NGT、NWThe number of the gas engine sets and the number of the wind power plants in the electricity-gas interconnected energy system containing electricity to gas are respectively; pGT.j.tThe active power output of the jth gas turbine unit in the t period; pW.k.t、δW.k.tRespectively predicting active power output and air abandon quantity of the kth wind power plant in the t period; pP2G.i.tOperating in conjunction with the i-th wind farm for time period tActive power consumed by the P2G device; pL.tThe active load of the electricity-gas interconnection energy system with electricity to gas conversion in the time period t;
output restraint of the coal-fired unit:
PG.s.min≤PG.s.t≤PG.s.max
wherein, PG.s.max、PG.s.minRespectively outputting the upper limit and the lower limit of active power for the s-th coal-fired unit;
and (3) restricting the climbing rate of the coal-fired unit:
wherein R isU.s、RD.sThe maximum climbing speed and the maximum landslide speed of the s-th coal-fired unit are respectively; d is the time interval between the t-1 period and the t period;
wind power plant wind abandon rate constraint:
0≤δW.k.t≤δW.k.max
wherein, deltaW.k.maxThe maximum wind curtailment rate allowed for the kth wind power plant;
output restraint of the gas turbine unit:
PGT.j.min≤PGT.j.t≤PGT.j.max
wherein, PGT.j.max、PGT.j.minRespectively outputting an upper limit and a lower limit of active power for the jth gas turbine set;
node voltage constraint:
wherein, Vx.min≤Vx.t≤Vx.max
VxIs the voltage of node x; vx.max、Vx.minThe upper limit and the lower limit of the voltage allowable by the node x are respectively set;
natural gas network flow balance constraint:
wherein r is 1,2, …, Ns，NsThe number of gas storage tanks in the natural gas network;
respectively the natural gas injection flow and the natural gas output flow of the r-th gas storage tank in the t period; n is 1,2, …, Nn，NnThe number of nodes in the natural gas network is m, which belongs to n and represents all nodes connected with the node n;
respectively the head end natural gas injection flow and the tail end natural gas output flow of the pipeline mn in the t period; fP2G.i.tThe amount of natural gas output by a P2G device which is operated with the ith wind farm for the period t; z is 1,2, …, NGas，NGasCounting the number of gas sources in the natural gas network; fGas.z.tA natural gas supply flow rate for a z-th gas source point during a period t; fGT.j.tThe amount of natural gas consumed by the jth gas turbine set in the t period; h 1,2, …, Ncom，NcomThe number of compressors in the natural gas network; fcom.h.tThe amount of natural gas consumed by the h compressor at t; fL.tThe load capacity of the natural gas network in the period t;
and (3) air source point flow restraint:
FGas.z.min≤FGas.z.t≤FGas.z.max
wherein, FGas.z.max、FGas.z.minThe upper limit and the lower limit of the natural gas supply flow of the z-th gas source point are respectively set;
and (3) pressure constraint of a pipeline joint:
pm.min≤pm.t≤pm.max
wherein p ism.tThe pressure value of the mth pipeline node in the t period; p is a radical ofm.max、pm.minThe upper limit and the lower limit of the pressure value of the mth pipeline node are respectively set;
compression ratio constraint of the compressor:
wherein R ish.max、Rh.minThe upper limit and the lower limit of the compression ratio of the h-th compressor are respectively set;
natural gas pipeline constraints:
wherein the content of the first and second substances,
Lmn.tstoring the pipeline mn for t time period; mmnIs a constant related to physical properties such as the length of the pipe mn, the pipe diameter, and a constant length related to temperature;
represents the internal pressure of the pipe mn for a period t;
flow restriction of the gas storage tank:
wherein S iss.r.tThe storage capacity of the air storage tank r is t time period; ss.r.max、Ss.r.minThe upper limit and the lower limit of the storage capacity of the r-th gas storage tank are respectively set;
the upper limit of the natural gas injection flow and the upper limit of the natural gas output flow of the r-th gas storage tank are respectively.
Compared with the prior art, the invention has the following beneficial effects:
1) in the optimized dispatching process, except for the coal consumption cost of the coal-fired unit, the risk index of fan failure is considered at the same time, so that the system can effectively reduce the operation risk while reducing the operation economic loss.
2) Considering rapidity and flexibility of scheduling characteristics of the gas turbine and the P2G device, the P2G device and the gas turbine are matched to operate, mutual conversion of energy between a natural gas network and an electric power network can be achieved, when the load is in a valley, surplus wind power can be converted into natural gas to be used by the gas turbine, the wind abandoning rate is reduced, and economic benefits of the system are improved.
3) By deciding a reasonable scheduling mode of wind power, gas and thermal power generation resources, the method can effectively reduce the operation risk of the system, improve the wind power consumption capability of the electricity-gas interconnection system, and solve the effective inverse peak regulation characteristic of the wind power.
Drawings
For purposes of promoting a better understanding of the objects, aspects and advantages of the invention, reference will now be made in detail to the present invention as illustrated in the accompanying drawings, in which:
FIG. 1 is a schematic diagram of the operation of an electrical-to-electrical interconnection system including electrical to gas conversion;
fig. 2 is a model establishing flow chart of the risk reduction scheduling method for fan failure of the electric-gas interconnection energy system with electric-to-gas conversion disclosed by the invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
As shown in fig. 1, which is a schematic view of an operation mode of an electric-gas interconnection system including electric power conversion, a P2G apparatus generates hydrogen by electrolyzing water using surplus electric energy of renewable energy sources in a power grid, and reacts the generated hydrogen with carbon dioxide under high temperature and high pressure to generate methane. The methane produced by the P2G process may be injected directly into the natural gas system for storage and transportation. The gas turbine set can realize the conversion of energy from a natural gas system to an electric power system, and the combined operation of the gas turbine set and the P2G device realizes the interconversion between the double networks, so that the coupling relationship between the double networks is tighter.
As shown in fig. 2, the invention discloses a risk reduction scheduling method for an electricity-gas interconnected energy system under the condition of fan failure, which is used for the electricity-gas interconnected energy system containing wind power generation based on a gas turbine set and an electricity-to-gas device, and comprises the following steps:
s101, obtaining failure probability lambda of a fan caused by power grid faults by monitoring active power, reactive power, machine end voltage, grid connection point voltage and system frequency of a wind turbine generatorGWAnd calculating the failure probability lambda of the fan caused by the self fault of the unit by monitoring the wind speed informationWBased on the failure probability lambda of the fan caused by the grid faultGWAnd the failure probability lambda of the fan caused by the self failure of the unitWCalculating the total failure probability of the fan;
s102, calculating a Risk index Risk of fan failure in the electric-gas interconnected energy system containing the electric power to the gas based on the total fan failure probability and the load loss of the electric-gas interconnected energy system containing the electric power to the gas after the fan failureW；
S103, establishing a risk reduction scheduling model of fan failure of the power-gas interconnected energy system containing power to gas with the aim of minimizing the risk index of fan failure and the coal consumption cost of the coal-fired unit;
and S104, inputting the total failure probability of the fan, the active output of a wind power field in the system after the fan fails and the system load value into a risk reduction scheduling model of the fan failure of the electric-gas interconnection energy system containing the electricity to the gas, solving the risk reduction scheduling model of the fan failure of the electric-gas interconnection energy system containing the electricity to the gas, determining the output of each generator set and using the output as a scheduling instruction to schedule the electric-gas interconnection energy system containing the electricity to the gas.
The invention has the following beneficial effects:
1) in the optimized dispatching process, except for the coal consumption cost of the coal-fired unit, the risk index of fan failure is considered at the same time, so that the system can effectively reduce the operation risk while reducing the operation economic loss.
2) Considering rapidity and flexibility of scheduling characteristics of the gas turbine and the P2G device, the P2G device and the gas turbine are matched to operate, mutual conversion of energy between a natural gas network and an electric power network can be achieved, when the load is in a valley, surplus wind power can be converted into natural gas to be used by the gas turbine, the wind abandoning rate is reduced, and economic benefits of the system are improved.
3) By deciding a reasonable scheduling mode of wind power, gas and thermal power generation resources, the method can effectively reduce the operation risk of the system, improve the wind power consumption capability of the electricity-gas interconnection system, and solve the effective inverse peak regulation characteristic of the wind power.
In specific implementation, in step S101, the fan failure probability λ caused by the fan self-fault is calculated by using the following formulaW：
Wherein, Δ λWIs the fan failure rate increase caused by the increase of the wind speed; lambda [ alpha ]maxIs the cut-out wind speed vcoA corresponding fan failure rate; lambda [ alpha ]minIs cut-in wind speed vciA corresponding fan failure rate; k is a radical ofWIs a constant related to the cut-in wind speed and the cut-out wind speed,
in specific implementation, in step S102, the Risk index Risk of the fan failureWCalculated as follows:
RiskW＝(λGW+λW)PW.dis
wherein, PW.disThe load loss of the electric-gas interconnection energy system containing the electricity to gas after the fan fails;
load loss amount P of electricity-gas interconnected energy system containing electricity to gas after fan failureW.disCalculated as follows:
PW.dis＝PG+PGT+PW.dam-PP2G-PL
wherein, PGThe active power of a coal-fired unit in the electric-gas interconnection energy system containing electricity to gas after the fan fails; pGTThe active power output of a gas unit in the electric-gas interconnection energy system containing electricity to gas after the fan fails; pP2GThe active power consumed by a P2G device in the electric-gas interconnection energy system containing the electricity to the gas after the fan is out of work; pW.damFor wind field in system after failure of fanActive power output of (1);
active power P of gas turbine unit in electric-gas interconnected energy system containing electricity to gas after fan failureGTThe mathematical model of (a) is as follows:
wherein j is 1,2, …, NGT，NGTThe number of gas units in the electricity-gas interconnection energy system for converting electricity into gas; phi is aGT.j、FGT.jRespectively the conversion efficiency and the consumed natural gas amount of the jth gas unit;
active power P of wind power field in electric-gas interconnected energy system containing electricity to gas after fan failureW.damThe calculation formula of (a) is as follows:
PW.dam＝PW-P∑.dam
in the formula (I), the compound is shown in the specification,
Wherein k is 1,2, …, NW，NWThe number of wind generating sets in the electric-gas interconnected energy system containing electricity to gas; pWActive power output of all wind power plants during normal operation; n isW.kThe number of wind generating sets in the kth wind power plant; pwt.kActive power output by a wind power unit in the kth wind power plant; v. ofW.kThe wind speed of the kth wind power plant; v. ofci、vcr、vcoRespectively the cut-in wind speed, the rated wind speed and the cut-out wind speed of the wind turbine generator; pwt.NThe rated power of the wind turbine generator is set; p∑·damFor the active power output of all the failed wind turbines in normal operation,
nGW.k.damis as followsThe number of failed wind turbines in the k wind power plants caused by grid faults; n iswt.k.damThe number of the failed wind generation sets of the kth wind power plant caused by the fault of the fan is set;
gas output quantity of P2G device jointly operated with ith wind power plant in electricity-gas interconnected energy system with electricity-to-gas conversion function after fan failure and active power P consumed by gas output quantityP2G.iIn this regard, the mathematical model is as follows:
wherein phi isP2G.iThe conversion efficiency of a P2G device operating in conjunction with the ith wind farm; hgIs the heat value of natural gas; delta PW.iThe active power consumed by a P2G device in the electricity-gas interconnected energy system containing electricity to gas after the failure of a fan is the abandoned wind power of the ith wind power plant
In specific implementation, in step S103, the risk reduction scheduling model for failure of the fan of the power-gas interconnected energy system including power conversion to gas includes an objective function and a constraint condition, where:
with minimum risk of fan failure F1And coal-fired unit coal consumption minimum F2As a target, the objective function is:
wherein, T is 24, and T is the time period number of one day; riskW.tIs a risk index of fan failure of the electric-gas interconnection energy system containing electricity to gas in the period of t, wherein s is 1,2, …, NG，NGThe number of coal-fired units in the electric-gas interconnected energy system for converting electricity into gas; pG.s.tThe active power output of the s coal-fired unit in the t period; a iss、bs、csThe coal consumption coefficients of the s-th coal-fired unit are all obtained;
the constraint conditions comprise power system constraint and natural gas system constraint, wherein the power system constraint comprises power system active power balance constraint, coal-fired unit output constraint, coal-fired unit climbing rate constraint, wind power plant wind curtailment rate constraint, gas unit output constraint and node voltage constraint, and the natural gas system constraint comprises natural gas network flow balance constraint, gas source point flow constraint, pipeline node pressure constraint, compressor compression ratio constraint, natural gas storage constraint and gas storage tank flow constraint;
active power balance constraint of the power system:
wherein s is 1,2, …, NG，j＝1,2,…,NGT，i＝1,2,…,NW，k＝1,2,…,NW，NGT、NWThe number of the gas engine sets and the number of the wind power plants in the electricity-gas interconnected energy system containing electricity to gas are respectively; pGT.j.tThe active power output of the jth gas turbine unit in the t period; pW.k.t、δW.k.tRespectively predicting active power output and air abandon quantity of the kth wind power plant in the t period; pP2G.i.tActive power consumed by a P2G device operating in conjunction with the ith wind farm for time period t; pL.tThe active load of the electricity-gas interconnection energy system with electricity to gas conversion in the time period t;
output restraint of the coal-fired unit:
PG.s.min≤PG.s.t≤PG.s.max
wherein, PG.s.max、PG.s.minRespectively outputting the upper limit and the lower limit of active power for the s-th coal-fired unit;
and (3) restricting the climbing rate of the coal-fired unit:
wherein R isU.s、RD.sThe maximum climbing speed and the maximum landslide speed of the s-th coal-fired unit are respectively;d is the time interval between the t-1 period and the t period;
wind power plant wind abandon rate constraint:
0≤δW.k.t≤δW.k.max
wherein, deltaW.k.maxThe maximum wind curtailment rate allowed for the kth wind power plant;
output restraint of the gas turbine unit:
PGT.j.min≤PGT.j.t≤PGT.j.max
wherein, PGT.j.max、PGT.j.minRespectively outputting an upper limit and a lower limit of active power for the jth gas turbine set;
node voltage constraint:
wherein, Vx.min≤Vx.t≤Vx.max
VxIs the voltage of node x; vx.max、Vx.minThe upper limit and the lower limit of the voltage allowable by the node x are respectively set;
natural gas network flow balance constraint:
wherein r is 1,2, …, Ns，NsThe number of gas storage tanks in the natural gas network;
respectively the natural gas injection flow and the natural gas output flow of the r-th gas storage tank in the t period; n is 1,2, …, Nn，NnThe number of nodes in the natural gas network is m, which belongs to n and represents all nodes connected with the node n;
respectively the head end natural gas injection flow and the tail end natural gas output flow of the pipeline mn in the t period; fP2G.i.tThe amount of natural gas output by a P2G device which is operated with the ith wind farm for the period t; z is 1,2, …, NGas，NGasCounting gas sources in a natural gas network；FGas.z.tA natural gas supply flow rate for a z-th gas source point during a period t; fGT.j.tThe amount of natural gas consumed by the jth gas turbine set in the t period; h 1,2, …, Ncom，NcomThe number of compressors in the natural gas network; fcom.h.tThe amount of natural gas consumed by the h compressor at t; fL.tThe load capacity of the natural gas network in the period t;
and (3) air source point flow restraint:
FGas.z.min≤FGas.z.t≤FGas.z.max
wherein, FGas.z.max、FGas.z.minThe upper limit and the lower limit of the natural gas supply flow of the z-th gas source point are respectively set;
and (3) pressure constraint of a pipeline joint:
pm.min≤pm.t≤pm.max
wherein p ism.tThe pressure value of the mth pipeline node in the t period; p is a radical ofm.max、pm.minThe upper limit and the lower limit of the pressure value of the mth pipeline node are respectively set;
compression ratio constraint of the compressor:
wherein R ish.max、Rh.minThe upper limit and the lower limit of the compression ratio of the h-th compressor are respectively set;
natural gas pipeline constraints:
wherein the content of the first and second substances,
Lmn.tstoring the pipeline mn for t time period; mmnIs a constant related to physical properties such as the length of the pipe mn, the pipe diameter, and a constant length related to temperature;
represents the internal pressure of the pipe mn for a period t;
flow restriction of the gas storage tank:
wherein S iss.r.tThe storage capacity of the air storage tank r is t time period; ss.r.max、Ss.r.minThe upper limit and the lower limit of the storage capacity of the r-th gas storage tank are respectively set;
the upper limit of the natural gas injection flow and the upper limit of the natural gas output flow of the r-th gas storage tank are respectively.
Finally, it is noted that the above-mentioned embodiments illustrate rather than limit the invention, and that, while the invention has been described with reference to preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (1)
1. A risk reduction scheduling method for an electric-gas interconnection energy system under failure of a fan is characterized in that the method is used for the electric-gas interconnection energy system containing wind power generation based on a gas turbine set and an electric-gas conversion device, and comprises the following steps:
s101, obtaining failure probability lambda of a fan caused by power grid faults by monitoring active power, reactive power, machine end voltage, grid connection point voltage and system frequency of a wind turbine generatorGWAnd calculating the failure probability lambda of the fan caused by the self fault of the unit by monitoring the wind speed informationWBased on the failure probability lambda of the fan caused by the grid faultGWAnd the failure probability lambda of the fan caused by the self failure of the unitWCalculating fan failureThe total probability;
in step S101, the fan failure probability lambda caused by the fan self-fault is calculated by using the following formulaW：
Wherein, Δ λWIs the fan failure rate increase caused by the increase of the wind speed; lambda [ alpha ]maxIs the cut-out wind speed vcoA corresponding fan failure rate; lambda [ alpha ]minIs cut-in wind speed vciA corresponding fan failure rate; k is a radical ofWIs a constant related to the cut-in wind speed and the cut-out wind speed,
s102, calculating a Risk index Risk of fan failure in the electric-gas interconnected energy system containing the electric power to the gas based on the total fan failure probability and the load loss of the electric-gas interconnected energy system containing the electric power to the gas after the fan failureW；
Risk index Risk of draught fan failureWCalculated as follows:
RiskW＝(λGW+λW)PW.dis
wherein, PW.disThe load loss of the electric-gas interconnection energy system containing the electricity to gas after the fan fails;
load loss amount P of electricity-gas interconnected energy system containing electricity to gas after fan failureW.disCalculated as follows:
PW.dis＝PG+PGT+PW.dam-PP2G-PL
wherein, PGThe active power of a coal-fired unit in the electric-gas interconnection energy system containing electricity to gas after the fan fails; pGTThe active power output of a gas unit in the electric-gas interconnection energy system containing electricity to gas after the fan fails; pP2GThe active power consumed by a P2G device in the electric-gas interconnection energy system containing the electricity to the gas after the fan is out of work; pW.damFor fan failure rear systemThe active power output of the wind power plant is integrated;
active power P of gas turbine unit in electric-gas interconnected energy system containing electricity to gas after fan failureGTThe mathematical model of (a) is as follows:
wherein j is 1,2, …, NGT，NGTThe number of gas units in the electricity-gas interconnection energy system for converting electricity into gas; phi is aGT.j、FGT.jRespectively the conversion efficiency and the consumed natural gas amount of the jth gas unit;
active power P of wind power field in electric-gas interconnected energy system containing electricity to gas after fan failureW.damThe calculation formula of (a) is as follows:
PW.dam＝PW-P∑.dam
in the formula (I), the compound is shown in the specification,
Wherein k is 1,2, …, NW，NWThe number of wind generating sets in the electric-gas interconnected energy system containing electricity to gas; pWActive power output of all wind power plants during normal operation; n isW.kThe number of wind generating sets in the kth wind power plant; pwt.kActive power output by a wind power unit in the kth wind power plant; v. ofW.kThe wind speed of the kth wind power plant; v. ofci、vcr、vcoRespectively the cut-in wind speed, the rated wind speed and the cut-out wind speed of the wind turbine generator; pwt.NThe rated power of the wind turbine generator is set; p∑·damFor the active power output of all the failed wind turbines in normal operation,
nGW.k.damthe number of the failed wind generation sets in the kth wind power plant caused by the grid fault is determined; n iswt.k.damThe number of the failed wind generation sets of the kth wind power plant caused by the fault of the fan is set;
gas output quantity of P2G device jointly operated with ith wind power plant in electricity-gas interconnected energy system with electricity-to-gas conversion function after fan failure and active power P consumed by gas output quantityP2G.iIn this regard, the mathematical model is as follows:
wherein phi isP2G.iThe conversion efficiency of a P2G device operating in conjunction with the ith wind farm; hgIs the heat value of natural gas; delta PW.iThe active power consumed by a P2G device in the electricity-gas interconnected energy system containing electricity to gas after the failure of a fan is the abandoned wind power of the ith wind power plant
S103, establishing a risk reduction scheduling model of fan failure of the power-gas interconnected energy system containing power to gas with the aim of minimizing the risk index of fan failure and the coal consumption cost of the coal-fired unit;
the risk reduction scheduling model for the failure of the fan of the electricity-gas interconnection energy system with electricity to gas comprises an objective function and a constraint condition, wherein:
with minimum risk of fan failure F1And coal-fired unit coal consumption minimum F2As a target, the objective function is:
wherein, T is 24, and T is the time period number of one day; riskW.tIs a risk index of fan failure of the electric-gas interconnection energy system containing electricity to gas in the period of t, wherein s is 1,2, …, NG，NGThe number of coal-fired units in the electric-gas interconnected energy system for converting electricity into gas; pG.s.tThe active power output of the s coal-fired unit in the t period; a iss、bs、csThe coal consumption coefficients of the s-th coal-fired unit are all obtained;
the constraint conditions comprise power system constraint and natural gas system constraint, wherein the power system constraint comprises power system active power balance constraint, coal-fired unit output constraint, coal-fired unit climbing rate constraint, wind power plant wind curtailment rate constraint, gas unit output constraint and node voltage constraint, and the natural gas system constraint comprises natural gas network flow balance constraint, gas source point flow constraint, pipeline node pressure constraint, compressor compression ratio constraint, natural gas storage constraint and gas storage tank flow constraint;
active power balance constraint of the power system:
wherein s is 1,2, …, NG，j＝1,2,…,NGT，i＝1,2,…,NW，k＝1,2,…,NW，NGNumber of coal-fired units in an electric-gas interconnected energy system for converting electricity into gas, NGT、NWThe number of the gas engine sets and the number of the wind power plants in the electricity-gas interconnected energy system containing electricity to gas are respectively; pGT.j.tThe active power output of the jth gas turbine unit in the t period; pW.k.t、δW.k.tRespectively predicting active power output and air abandon quantity of the kth wind power plant in the t period; pP2G.i.tActive power consumed by a P2G device operating in conjunction with the ith wind farm for time period t; pL.tThe active load of the electricity-gas interconnection energy system with electricity to gas conversion in the time period t;
output restraint of the coal-fired unit:
PG.s.min≤PG.s.t≤PG.s.max
wherein, PG.s.max、PG.s.minRespectively outputting the upper limit and the lower limit of active power for the s-th coal-fired unit;
and (3) restricting the climbing rate of the coal-fired unit:
wherein R isU.s、RD.sThe maximum climbing speed and the maximum landslide speed of the s-th coal-fired unit are respectively; d is the time interval between the t-1 period and the t period;
wind power plant wind abandon rate constraint:
0≤δW.k.t≤δW.k.max
wherein, deltaW.k.maxThe maximum wind curtailment rate allowed for the kth wind power plant;
output restraint of the gas turbine unit:
PGT.j.min≤PGT.j.t≤PGT.j.max
wherein, PGT.j.max、PGT.j.minRespectively outputting an upper limit and a lower limit of active power for the jth gas turbine set;
node voltage constraint:
wherein, Vx.min≤Vx.t≤Vx.max
VxIs the voltage of node x; vx.max、Vx.minThe upper limit and the lower limit of the voltage allowable by the node x are respectively set;
natural gas network flow balance constraint:
wherein r is 1,2, …, Ns，NsThe number of gas storage tanks in the natural gas network;
respectively the natural gas injection flow and the natural gas output flow of the r-th gas storage tank in the t period; n is 1,2, …, Nn，NnThe number of nodes in the natural gas network is m, which belongs to n and represents all nodes connected with the node n;
respectively the head end natural gas injection flow and the tail end natural gas output flow of the pipeline mn in the t period; fP2G.i.tThe amount of natural gas output by a P2G device which is operated with the ith wind farm for the period t; z is 1,2, …, NGas，NGasCounting the number of gas sources in the natural gas network; fGas.z.tA natural gas supply flow rate for a z-th gas source point during a period t; fGT.j.tThe amount of natural gas consumed by the jth gas turbine set in the t period; h 1,2, …, Ncom，NcomThe number of compressors in the natural gas network; fcom.h.tThe amount of natural gas consumed by the h compressor at t; fL.tThe load capacity of the natural gas network in the period t;
and (3) air source point flow restraint:
FGas.z.min≤FGas.z.t≤FGas.z.max
wherein, FGas.z.max、FGas.z.minThe upper limit and the lower limit of the natural gas supply flow of the z-th gas source point are respectively set;
and (3) pressure constraint of a pipeline joint:
pm.min≤pm.t≤pm.max
wherein p ism.tThe pressure value of the mth pipeline node in the t period; p is a radical ofm.max、pm.minThe upper limit and the lower limit of the pressure value of the mth pipeline node are respectively set;
compression ratio constraint of the compressor:
wherein R ish.max、Rh.minThe upper limit and the lower limit of the compression ratio of the h-th compressor are respectively set;
natural gas pipeline constraints:
wherein the content of the first and second substances,
Lmn.tstoring the pipeline mn for t time period; mmnConstants related to the physical properties of the length, the diameter and the temperature of the pipeline mn;
represents the internal pressure of the pipe mn for a period t;
flow restriction of the gas storage tank:
wherein S iss.r.tThe storage capacity of the air storage tank r is t time period; ss.r.max、Ss.r.minThe upper limit and the lower limit of the storage capacity of the r-th gas storage tank are respectively set;
the upper limits of the natural gas injection flow and the output flow of the r-th gas storage tank are respectively set;
and S104, inputting the total failure probability of the fan, the active output of a wind power field in the system after the fan fails and the system load value into a risk reduction scheduling model of the fan failure of the electric-gas interconnection energy system containing the electricity to the gas, solving the risk reduction scheduling model of the fan failure of the electric-gas interconnection energy system containing the electricity to the gas, determining the output of each generator set and using the output as a scheduling instruction to schedule the electric-gas interconnection energy system containing the electricity to the gas.
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