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CN109031952B - Hybrid control method for electricity-gas interconnection comprehensive energy system - Google Patents

Hybrid control method for electricity-gas interconnection comprehensive energy system Download PDF

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CN109031952B
CN109031952B CN201810789411.1A CN201810789411A CN109031952B CN 109031952 B CN109031952 B CN 109031952B CN 201810789411 A CN201810789411 A CN 201810789411A CN 109031952 B CN109031952 B CN 109031952B
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卫志农
梅建春
朱梓荣
孙国强
臧海祥
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Hohai University HHU
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    • G—PHYSICS
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    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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Abstract

The invention discloses a hybrid control method of an electricity-gas interconnection comprehensive energy system, which comprises the following steps: 1) establishing an electricity-gas interconnection comprehensive energy system optimization model based on the slow dynamic characteristic of natural gas and the storage and management; 2) considering key faults in the expected fault set, establishing an electric-gas interconnection comprehensive energy system prevention control optimization scheduling model; 3) based on a prevention control strategy, considering other faults out of a key fault set in an expected fault set, and establishing a post-fault correction control model; 4) establishing an electric-gas interconnection comprehensive energy system hybrid control framework by combining a prevention control model and a correction control model; 5) the performance of the hybrid control method was tested in an integrated energy system. The method provided by the invention effectively improves the calculation efficiency and can more accurately formulate the fault control strategy of the electric-gas interconnection comprehensive energy system.

Description

Hybrid control method for electricity-gas interconnection comprehensive energy system
Technical Field
The invention belongs to the technical field of power systems, and particularly relates to a hybrid control method of an electricity-gas interconnection comprehensive energy system.
Background
In the current society, the contradiction between the increase of energy demand and the shortage of energy, and the consumption of energy and the environmental protection is increasingly prominent, the problem of energy gradually becomes a hot point in the discussion of academic circles and industrial circles, natural gas is widely concerned due to the advantages of environmental protection, high efficiency, abundant reserves and the like, and the gas power generation is more and more valued. With the large-scale integration of gas turbines, the connection between the power grid and the gas grid is increasingly tight. On one hand, the energy conversion of the gas turbine and the P2G technology and the space-time translation characteristic of the tube deposit in the gas network provide a new way for absorbing renewable energy and stabilizing the peak-valley difference of the power network; on the other hand, the safety of the power system is also influenced by the natural gas supply of the gas turbine, and the operation of the power grid is limited. Therefore, the development of the safety analysis research of the electric-gas interconnection comprehensive energy system can lay a foundation for the actual operation and further development of the future energy system.
The coupling of the power grid and the gas grid means that the correlation between the subsystems of the electricity-gas interconnected comprehensive energy system is enhanced, and the safety analysis of the electricity-gas interconnected comprehensive energy system is not negligible. In practical engineering application, in order to ensure safe and stable operation of the system, it is usually required to verify whether the system meets the N-1 principle. The optimal power flow is used as an important tool for system operation and planning, and when N-1 safety accidents are considered, the problems are converted into safety constraint optimal power flow. In fact, due to the deep coupling between the power system and the natural gas system, the fault of a single system is easy to propagate to the coupling system through the coupling element, and further cascading faults between the systems are caused, so that the cooperative scheduling and complementary control between the power system and the natural gas system are very important for ensuring the safety and stability of the electric-gas interconnected comprehensive energy system.
Disclosure of Invention
The purpose of the invention is as follows: the invention provides a prevention-correction cooperative control electric-gas interconnected comprehensive energy system hybrid control method, aiming at the problems of the existing electric-gas interconnected comprehensive energy system fault control method, namely that the research of the current electric power system prevention and correction control field is relatively mature, but the related research of the prevention/correction control of the electric-gas interconnected comprehensive energy system is lacked, and meanwhile, the expected fault set is determined by human experience, unnecessary faults possibly exist, the calculation complexity is improved, and the economic benefit is reduced.
The technical scheme is as follows:
a hybrid control method of an electricity-gas interconnection comprehensive energy system specifically comprises the following steps:
step 1, establishing an electricity-gas interconnection comprehensive energy system optimization model based on the slow dynamic characteristic of natural gas and a storage and management;
step 2, establishing an electric-gas interconnection comprehensive energy system prevention control optimization scheduling model according to key faults in the expected fault set;
step 3, considering other faults out of the key fault set in the expected fault set based on the prevention control strategy, and establishing a post-fault correction control model;
step 4, establishing an electric-gas interconnection comprehensive energy system hybrid control framework by combining a prevention control model and a correction control model;
and 5, testing the performance of the hybrid control method in the comprehensive energy system.
As a further preferable scheme of the hybrid control method of the electricity-gas interconnected comprehensive energy system, in the step 1, the specific steps of establishing an optimization model of the electricity-gas interconnected comprehensive energy system are as follows:
step 1.1, the transient time constant of the power system is smaller than that of the gas network, and a power grid steady-state model is adopted, and the method comprises the following steps:
Figure BDA0001734468020000021
Figure BDA0001734468020000022
Figure BDA0001734468020000023
Figure BDA0001734468020000024
Figure BDA0001734468020000025
PG,u,t-PG,u,t-1≤RUu
PG,u,t-1-PG,u,t≤RDu
Figure BDA0001734468020000026
wherein: pG,u,tAnd QG,u,tActive and reactive power output of the generator unit u at the moment t; pL,m,tAnd QL,m,tThe active and reactive loads of a node m at the moment t; ENsgm,tIs the load shedding on the node m at the time t; pP2G,p,tActive power is consumed at P < 2 > 2G at time t; u shapem,tAnd Un,tThe node m and n voltage amplitudes at time t; thetamn,tIs the phase angle difference between the nodes m, n at time t. GmnAnd BmnIs the conductance and susceptance between nodes m, n;P G，u，
Figure BDA0001734468020000032
andQ G，u，
Figure BDA0001734468020000033
respectively setting an upper limit and a lower limit of active output and an upper limit and a lower limit of reactive output of the generator unit u;U mand
Figure BDA0001734468020000035
the voltage amplitude upper and lower limits of the node m are set; RU (RU)uAnd RDuThe upper limit of the up-down climbing of the generator unit u is respectively set; pl,mn,tThe mn power of the line at the time t;P l，mnand
Figure BDA0001734468020000037
the upper and lower limits of the mn capacity of the line;
step 1.2, establishing a natural gas system transient model,
step 1.3: and establishing a coupling constraint model.
As a further preferable scheme of the hybrid control method of the electricity-gas interconnection comprehensive energy system, the step 1.2 specifically comprises the following steps:
step 1.2.1, establishing a gas source and gas storage facility model, including upper and lower limit constraints of natural gas injected into a node; the gas storage facility is restrained by the upper and lower limits of the injection and extraction flow; dynamic coupling constraint of the gas storage facility in adjacent time periods;
and 1.2.2, establishing a pipeline model. For the natural gas pipeline jk, a partial differential equation expression for describing the slow dynamic characteristic of the gas network under the transient model is as follows:
Figure BDA0001734468020000038
and
Figure BDA0001734468020000039
wherein: f. ofl,tAnd pil,tRespectively the pipeline flow and pressure at the pipeline length l at the time t; d is the inner diameter of the pipeline; r is a gas constant; t is the gas temperature; z is a gas compression factor; rho0Is in a standard stateNatural gas density; and F is the friction coefficient of the pipeline. The two implicit differences are approximated:
Figure BDA00017344680200000310
Figure BDA00017344680200000311
Figure BDA00017344680200000312
wherein: mjk,tStoring the pipeline jk at the moment t;
Figure BDA00017344680200000313
and pij,t，Πk,tRespectively the flow and pressure at two ends of the pipeline jk at the moment t;
Figure BDA00017344680200000314
and
Figure BDA00017344680200000315
the mean value of the pressure and the flow at two ends of the pipeline at the time t; l isjkIs the length of the pipe jk; at this time, the node k pressure also has upper and lower limit constraints:
Figure BDA00017344680200000316
step 1.2.3, establishing a pressurizing station model, including upper and lower limit constraints of a pressurizing ratio; natural gas consumption constraints;
step 1.2.4, establishing node flow balance to ensure that node flow inflow and outflow satisfy a balance relation;
as a further preferable scheme of the hybrid control method of the electricity-gas interconnection comprehensive energy system, the step 1.3 specifically comprises the following steps:
step 1.3.1, establishing a gas turbine model, including energy conversion constraint and power generation output upper and lower limit constraint;
step 1.3.2, establishing a P2G model, including energy conversion constraint and upper and lower gas production limit constraint.
As a further preferable scheme of the hybrid control method of the electricity-gas interconnected comprehensive energy system, in the step 2, a prevention control optimization scheduling model of the electricity-gas interconnected comprehensive energy system is established, and the specific steps are as follows:
step 2.1: establishing a prevention control optimization target of the electric-gas interconnection comprehensive energy system:
Figure BDA0001734468020000041
wherein: cunit,u、Cwell,w、Cstor,sAnd Cp2g,pRespectively representing the output cost of the unit u, the gas production cost of the gas source w, the extraction cost of the gas storage facility s and the gas production cost of P2G at the position P; t is simulation time length; u, W, S and P are respectively set of unit, gas source, gas storage facility and P2G; pG,u,t、Wf,w,t、Ss,t、fp2g,p,tExtracting natural gas flow and P2G gas production for the unit u output, the gas source w gas production and the gas storage facility s at the time t respectively;
step 2.2: and establishing an electric-gas interconnection comprehensive energy system prevention control optimization scheduling model according to the electric-gas interconnection comprehensive energy system optimization model and the prevention control optimization target.
As a further preferable scheme of the hybrid control method of the electricity-gas interconnected comprehensive energy system, in step 3, the specific steps of establishing the correction control model of the electricity-gas interconnected comprehensive energy system are as follows:
step 3.1, establishing an electric-gas interconnection comprehensive energy system correction control optimization target:
Figure BDA0001734468020000042
wherein: t is simulation time length; ENsgm,tAnd GNsgk,tLoad shedding on the power node m and the natural gas node k at the moment t respectively; hGIs the heat value of natural gas;
step 3.2, setting a prevention control and correction control coupling relation based on the machine set, the air source, the air storage facility and the P2G output strategy in the prevention control:
Figure BDA0001734468020000051
wherein: p'G,u,t、W′f,w,t、S′s,tAnd f'p2g,p,tRespectively outputting power for the machine set, the air source, the air storage facility and the P2G after the fault;
Figure BDA0001734468020000052
S′sand
Figure BDA0001734468020000053
adjusting the upper limit for the unit, the air source, the air storage facility and the P2G;
and 3.3, establishing a prevention control optimization scheduling model of the electric-gas interconnection comprehensive energy system according to the electric-gas interconnection comprehensive energy system optimization model and the correction control optimization target.
As a further preferable scheme of the hybrid control method of the electricity-gas interconnected comprehensive energy system, in the step 4, the hybrid control of the electricity-gas interconnected comprehensive energy system comprises the following specific steps:
step 4.1, setting an expected fault set, initializing a key fault set to be empty, and setting a load shedding index;
4.2, performing prevention, control and optimization calculation on the electric-gas interconnection comprehensive energy system aiming at the key fault set in the expected fault set;
4.3, based on a prevention control strategy, performing correction control optimization calculation on the electricity-gas interconnection comprehensive energy system aiming at other faults outside the key fault set in the expected fault set;
step 4.4, searching the fault corresponding to the maximum load shedding in the correction process in the step 4.3, and defining the fault as the most serious fault;
step 4.5, judging whether the most serious fault meets the index, if so, turning to step 4.6, otherwise, turning to step 4.7;
step 4.6, adding the most serious fault to the key fault set, and turning to the step 4.2;
and 4.7, outputting a prevention control strategy, a correction control strategy and a key fault set.
Has the advantages that: the hybrid control method of the electric-gas interconnection comprehensive energy system adopts an electric-gas interconnection comprehensive energy system optimization model based on a power system steady-state model, a natural gas system transient-state model and a coupling element model, establishes a prevention control and correction control model, and finally establishes an electric-gas interconnection comprehensive energy system hybrid control framework to carry out fault control on the system. The invention combines the advantages of prevention control and correction control of the electric-gas interconnected comprehensive energy system, reduces the scale of an expected fault set, reduces the load shedding in the correction process, and can carry out the fault control of the electric-gas interconnected comprehensive energy system more safely and economically according to the simulation result.
Drawings
FIG. 1 is a fault classification diagram of the present invention;
fig. 2 is a flow chart of the hybrid control of the electric-gas interconnection comprehensive energy system.
Detailed Description
The present invention is further illustrated by the following examples, which are intended to be purely exemplary and are not intended to limit the scope of the invention, as various equivalent modifications of the invention will occur to those skilled in the art upon reading the present disclosure and fall within the scope of the appended claims.
The method comprises the steps of firstly establishing a system optimization model after the electric power system and the natural gas system are coupled, then respectively establishing a prevention control optimization model and a correction control optimization model of the electric-gas interconnected comprehensive energy system based on the coupled system optimization model by taking the minimum cost and the minimum load shedding as targets, and establishing a prevention-correction cooperative electric-gas interconnected comprehensive energy system hybrid control framework for fault control and analysis of the electric-gas interconnected comprehensive energy system by considering the importance of cooperative scheduling and complementary control between the electric power system and the natural gas system on ensuring the safe and stable operation of the electric-gas interconnected comprehensive energy system.
Considering that the transient time constant of the power system is far smaller than that of the gas network, when the electric-gas interconnected comprehensive energy system model is constructed, the power network adopts a steady-state model, and the operation constraints are as follows:
Figure BDA0001734468020000061
Figure BDA0001734468020000062
Figure BDA0001734468020000063
Figure BDA0001734468020000064
Figure BDA0001734468020000066
PG,u,t-PG,u,t-1≤RUu
PG,u,t-1-PG,u,t≤RDu
Figure BDA0001734468020000065
wherein: pG,u,tAnd QG,u,tActive and reactive power output of the generator unit u at the moment t; pL,m,tAnd QL,m,tThe active and reactive loads of a node m at the moment t; ENsgm,tIs the load shedding on the node m at the time t; pP2G,p,tActive power is consumed at P < 2 > 2G at time t; u shapem,tAnd Un,tThe node m and n voltage amplitudes at time t; thetamn,tIs the phase angle difference between the nodes m, n at time t. GmnAnd BmnIs the conductance and susceptance between nodes m, n;P G，u，
Figure BDA0001734468020000072
andQ G，u，
Figure BDA0001734468020000073
respectively setting an upper limit and a lower limit of active output and an upper limit and a lower limit of reactive output of the generator unit u;U mand
Figure BDA0001734468020000075
the voltage amplitude upper and lower limits of the node m are set; RU (RU)uAnd RDuThe upper limit of the up-down climbing of the generator unit u is respectively set; pl,mn,tThe mn power of the line at the time t;P l，mnand
Figure BDA0001734468020000077
the upper and lower limits of the mn capacity of the line.
Meanwhile, the gas network elements comprise gas sources, pipelines, pressurizing stations, gas storage facilities and the like, and the gas network is modeled by considering the transient state characteristic of the gas network characterized by the pipe storage (inline ack).
The source acting as the main gas supply for the gas network, the injection of natural gas at the nodes being constrained by their upper and lower limits, e.g.
Figure BDA0001734468020000078
As shown. The gas storage facility can be equivalent to a gas source or a load to adjust the peak-to-valley difference of the natural gas load in different time periods, and the injection and extraction flow rates of the gas storage facility are limited, for example
Figure BDA0001734468020000079
And
Figure BDA00017344680200000710
as shown. At the same time, there is a dynamic coupling relationship between adjacent time segments of the gas storage facility, e.g.
Figure BDA00017344680200000711
As shown. Wherein: wf,w,tIs the flow of the air source w at the moment t;
Figure BDA00017344680200000712
andW f，wthe upper and lower limits of the w flow of the air source;
Figure BDA00017344680200000714
and
Figure BDA00017344680200000715
injecting and extracting flow for the gas storage facility s at the time t;
Figure BDA00017344680200000716
and
Figure BDA00017344680200000717
the upper limit of the injection and extraction flow for the gas storage facility s; ss,tThe gas storage capacity of the gas storage facility s at time t;
Figure BDA00017344680200000718
andS supper and lower limits of the gas storage capacity of the gas storage facility s; Δ t is the time step.
For the natural gas pipeline jk, a partial differential equation describing the slow dynamic characteristics of the gas network under the transient model is as follows:
Figure BDA00017344680200000720
Figure BDA00017344680200000721
wherein: f. ofl,tAnd pil,tRespectively the pipeline flow and pressure at the pipeline length l at the time t; d is the inner diameter of the pipeline; r is a gas constant; t is the gas temperature; z is a gas compression factor; rho0Natural gas density in a standard state; and F is the friction coefficient of the pipeline.
The two implicit differences are approximated:
Figure BDA0001734468020000081
Figure BDA0001734468020000082
Figure BDA0001734468020000083
wherein: mjk,tStoring the pipeline jk at the moment t;
Figure BDA0001734468020000084
and pij,t，Πk,tRespectively the flow and pressure at two ends of the pipeline jk at the moment t;
Figure BDA0001734468020000085
and
Figure BDA0001734468020000086
the mean value of the pressure and the flow at two ends of the pipeline at the time t; l isjkIs the length of the pipe jk. At the same time, there are upper and lower bounds on node k pressure, e.g.
Figure BDA0001734468020000087
As shown.
Energy loss exists in the natural gas transmission process, the pressure level can be improved by installing the pressurizing station, and the reliability of natural gas transmission is improved. For a pressure station with a head node j and a tail node k, the pressure ratio and natural gas consumption are as follows:
Figure BDA0001734468020000088
Figure BDA0001734468020000089
wherein:
Figure BDA00017344680200000810
the flow rate through the pressurizing station c at time t;
Figure BDA00017344680200000811
the natural gas flow rate consumed by the pressurizing station c at time t is set up here from the head endη is the consumption coefficient of the pressurizing station, which is about 2 percent generally;
Figure BDA00017344680200000812
andC jkthe upper and lower limits of the pressurization ratio of the pressurization station.
For node k, its traffic inflow and outflow satisfy a balance relationship, expressed as follows:
Figure BDA00017344680200000814
wherein: (i) is a node air source and a load; (ii) injecting and extracting for gas storage facilities; (iii) injecting or extracting natural gas for the coupling element; (iv) the flow rate and consumption of the pressurizing station; (v) natural gas flows in and out for pipelines; f. ofL,k,tIs the load flow on node k at time t; GNsgk,tIs the load shedding on node k at time t; f. ofP2G,p,tThe natural gas flow injected for P2G at time P; f. ofGF,g,tThe natural gas flow consumed by the gas turbine g at time t.
In addition, the coupling part in the electricity-gas interconnection comprehensive energy system mainly comprises a gas turbine and P2G technology, and the two parts are coordinated to enable the bidirectional flow of energy flow between a power grid and a gas grid. The gas turbine consumes natural gas as
Figure BDA0001734468020000091
Wherein muGFTo gas turbine conversion efficiency; hGIs the heat value of natural gas; the P2G technology produces natural gas as
Figure BDA0001734468020000092
The upper and lower limits are constrained to
Figure BDA0001734468020000093
Wherein: mu.sPThe P2G conversion efficiency.
The invention provides an iterative method of prevention-correction cooperative hybrid control for the fault control of the electric-gas interconnected comprehensive energy system by combining the advantages of prevention control and correction control (safety and economy). The main problem is to make a prevention control strategy aiming at a key fault set omega in an expected fault set C; the subproblem is based on the prevention control strategy, fault post-correction is carried out on other fault sets C \ omega in the expected fault set C, key faults which are not found in the C \ omega are screened out according to load shedding indexes, and the key faults are added to the key fault set omega. Therein, the fault classification is shown in fig. 1.
The hybrid control model provided by the invention comprises a main problem part and a sub problem part. The main problem is taken into consideration of a key fault set omega, the economic optimization is taken as a target, the optimal power flow of the safety constraint of prevention and control is calculated, and the target function is as follows:
Figure BDA0001734468020000094
and aiming at other faults in the expected fault set C, the subproblem is corrected on the basis of a main problem prevention control strategy, and is solved by taking the minimum tangential load as a target, wherein an objective function is as follows:
Figure BDA0001734468020000095
wherein: cunit,u、Cwell,w、Cstor,sAnd Cp2g,pRespectively representing the output cost of the unit u, the gas production cost of the gas source w, the extraction cost of the gas storage facility s and the gas production cost of P2G at the position P; t is simulation time length; u, W, S and P are respectively set by machine set, gas source, gas storage facility and P2G.
In fact, after a fault occurs, the correction control has a process of readjusting after the fault on the basis of the original scheduling strategy, and the sub-problem set by the invention is corrected aiming at the unit, the air source, the air storage facility and the P2G output strategy in the preventive control, as follows:
Figure BDA0001734468020000101
wherein: p'G,u,t、W′f,w,t、S′s,tAnd f'p2g,p,tRespectively a unit, an air source and an air storage facility after failureP2G force;
Figure BDA0001734468020000102
S′sand
Figure BDA0001734468020000103
the upper limits are adjusted for the unit, the gas source, the gas storage facility and P2G, respectively.
The hybrid control method mainly solves and screens key faults alternately through main problems and sub problems. The main problem only takes into account limited critical faults, and a scheduling strategy considering preventive control is made with the aim of lowest control cost. The sub-problem takes the minimum load shedding as a target, and aims at the anticipated faults except the key faults, and the key faults are screened by adopting a correction control strategy taking the minimum load shedding as an optimization target as a main problem. The specific flow is shown in fig. 2.
For a given expected fault set C, a key fault set omega is initially empty, so that the optimal power flow of safety constraint is prevented and controlled for the first time and is the optimal power flow of the electric-gas interconnected comprehensive energy system in normal operation. And the sub-problems are based on a main problem control strategy, namely the output of the generator set and the gas source gas production rate, load shedding in the correction process when each fault occurs in the other fault sets C \ omega is obtained, the fault corresponding to the largest load shedding amount is defined as the most serious fault, whether the load shedding amount meets the load shedding index or not is judged, and if not, the load shedding amount is added to the key fault set omega and the next cycle is carried out. With the increase of key faults, for other faults, a correction strategy based on a main problem prevention control strategy is easier to find until a load shedding index is met.
To verify the effectiveness of the method of the invention, the following experiments were performed: an electric-gas interconnection comprehensive energy system test example is constructed by an IEEE24 node power system and a 25-node natural gas system. The power system comprises 10 generator sets, 24 nodes and 38 branches; the natural gas system comprises 35 pipelines, 25 nodes, 3 pressurizing stations, 3 gas storage facilities and 2 gas sources. Assuming that the generators of the power grid nodes 7 and 21 are gas turbine sets, respectively connected with the gas grid nodes 4 and 7; the grid node 6 is connected to P2G and is connected to the gas grid node 17.
The invention sets all faults to be in a broken line form, the corrected control load shedding index is 0, and the expected fault set C is { C1, C2}, wherein the expected fault set C1 of the natural gas system is {19,25,20,13,9,30}, and the expected fault set C2 of the power system is {23,21,22,28,25 }. The running time is 1h, the time interval is 15min, and the key faults are found out as C1 ═ 19, 9} and C2 ═ 25} by the hybrid control method.
The preventive control cost gradually increases in the iterative process. At the same time, as the set of critical faults is cleared, the corrective control load shedding accounting for non-critical faults is reduced.

Claims (7)

1. The hybrid control method of the electricity-gas interconnection comprehensive energy system is characterized by comprising the following steps:
step 1, establishing an electricity-gas interconnection comprehensive energy system optimization model based on the slow dynamic characteristic of natural gas and a storage and management;
step 2, establishing an electric-gas interconnection comprehensive energy system prevention control optimization scheduling model according to key faults in the expected fault set;
step 3, considering other faults out of the key fault set in the expected fault set based on the prevention control strategy, and establishing a post-fault correction control model;
step 4, establishing an electric-gas interconnection comprehensive energy system hybrid control framework by combining a prevention control model and a correction control model;
step 5, testing the performance of the hybrid control method in the comprehensive energy system;
and aiming at other faults in the expected fault set C, the subproblem is corrected on the basis of a main problem prevention control strategy, and is solved by taking the minimum tangential load as a target, wherein an objective function is as follows:
Figure FDA0002463293220000011
wherein: cunit,u、Cwell,w、Cstor,sAnd Cp2g,pThe output cost of the unit u, the gas production cost of the gas source w, the extraction cost of the gas storage facility s and the gas production cost of P2G at the position P(ii) a T is simulation time length; u, W, S and P are respectively set of unit, gas source, gas storage facility and P2G;
after the fault occurs, the correction control has a process of readjusting after the fault on the basis of the original scheduling strategy, and the setting sub-problem corrects the unit, the air source, the air storage facility and the P2G output strategy in the prevention control as follows:
Figure FDA0002463293220000012
wherein: p'G,u,t、W′f,w,t、S′s,tAnd f'p2g,p,tRespectively outputting power for the machine set, the air source, the air storage facility and the P2G after the fault;
Figure FDA0002463293220000013
Ss' and
Figure FDA0002463293220000014
adjusting the upper limit for the unit, the air source, the air storage facility and the P2G;
for a given expected fault set C, a key fault set omega is initially empty, so that the optimal power flow of safety constraint is prevented and controlled for the first time and is the optimal power flow of the electric-gas interconnected comprehensive energy system in normal operation; and the sub-problems are based on a main problem control strategy, namely the output of the generator set and the gas source gas production rate, load shedding in the correction process when each fault occurs in the other fault sets C \ omega is obtained, the fault corresponding to the largest load shedding amount is defined as the most serious fault, whether the load shedding amount meets the load shedding index or not is judged, and if not, the load shedding amount is added to the key fault set omega and the next cycle is carried out.
2. The hybrid control method of an electric-gas interconnected integrated energy system according to claim 1, characterized in that: in the step 1, the specific steps of establishing the electricity-gas interconnection comprehensive energy system optimization model are as follows:
step 1.1, the transient time constant of the power system is smaller than that of the gas network, and a power grid steady-state model is adopted, and the method comprises the following steps:
Figure FDA0002463293220000021
Figure FDA0002463293220000023
Figure FDA0002463293220000024
Figure FDA0002463293220000025
PG,u,t-PG,u,t-1≤RUu
PG,u,t-1-PG,u,t≤RDu
Figure FDA0002463293220000026
wherein: pG,u,tAnd QG,u,tActive and reactive power output of the generator unit u at the moment t; pL,m,tAnd QL,m,tThe active and reactive loads of a node m at the moment t; ENsgm,tIs the load shedding on the node m at the time t; pP2G,p,tActive power is consumed at P < 2 > 2G at time t; u shapem,tAnd Un,tThe node m and n voltage amplitudes at time t; thetamn,tIs the phase angle difference between the nodes m and n at the time t; gmnAnd BmnIs the conductance and susceptance between nodes m, n; pG,u，
Figure FDA0002463293220000027
AndQ G,u，
Figure FDA0002463293220000028
respectively setting an upper limit and a lower limit of active output and an upper limit and a lower limit of reactive output of the generator unit u;U mand
Figure FDA0002463293220000029
the voltage amplitude upper and lower limits of the node m are set; RU (RU)uAnd RDuThe upper limit of the up-down climbing of the generator unit u is respectively set; pl,mn,tThe mn power of the line at the time t;P l,mnand
Figure FDA00024632932200000210
the upper and lower limits of the mn capacity of the line;
step 1.2, establishing a natural gas system transient model,
step 1.3: and establishing a coupling constraint model.
3. The hybrid control method of an electric-gas interconnected integrated energy system according to claim 2, characterized in that: the step 1.2 specifically comprises the following steps:
step 1.2.1, establishing a gas source and gas storage facility model, including upper and lower limit constraints of natural gas injected into a node; the gas storage facility is restrained by the upper and lower limits of the injection and extraction flow; dynamic coupling constraint of the gas storage facility in adjacent time periods;
step 1.2.2, establishing a pipeline model; for the natural gas pipeline jk, a partial differential equation expression for describing the slow dynamic characteristic of the gas network under the transient model is as follows:
Figure FDA0002463293220000031
and
Figure FDA0002463293220000032
wherein: f. ofl,tAnd pil,tRespectively the pipeline flow and pressure at the pipeline length l at the time t; d is the inner diameter of the pipeline; r is a gas constant; t is the gas temperature; z is a gas compression factor; rho0Natural gas density in a standard state; f is the coefficient of friction of the pipeline; the two implicit differences are approximated:
Figure FDA0002463293220000033
Figure FDA0002463293220000034
Figure FDA0002463293220000035
wherein: mjk,tStoring the pipeline jk at the moment t;
Figure FDA0002463293220000036
and pij,t，Πk,tRespectively the flow and pressure at two ends of the pipeline jk at the moment t;
Figure FDA0002463293220000037
and
Figure FDA0002463293220000038
the mean value of the pressure and the flow at two ends of the pipeline at the time t; l isjkIs the length of the pipe jk; at this time, the node k pressure also has upper and lower limit constraints:
Figure FDA0002463293220000039
step 1.2.3, establishing a pressurizing station model, including upper and lower limit constraints of a pressurizing ratio; natural gas consumption constraints;
and step 1.2.4, establishing node flow balance and ensuring that the node flow inflow and outflow meet the balance relation.
4. The hybrid control method of an electric-gas interconnected integrated energy system according to claim 2, characterized in that: the step 1.3 specifically comprises the following steps:
step 1.3.1, establishing a gas turbine model, including energy conversion constraint and power generation output upper and lower limit constraint;
step 1.3.2, establishing a P2G model, including energy conversion constraint and upper and lower gas production limit constraint.
5. The hybrid control method of an electric-gas interconnected integrated energy system according to claim 1, characterized in that: in the step 2, an electric-gas interconnection comprehensive energy system prevention control optimization scheduling model is established, and the specific steps are as follows:
step 2.1: establishing a prevention control optimization target of the electric-gas interconnection comprehensive energy system:
Figure FDA0002463293220000041
wherein: cunit,u、Cwell,w、Cstor,sAnd Cp2g,pRespectively representing the output cost of the unit u, the gas production cost of the gas source w, the extraction cost of the gas storage facility s and the gas production cost of P2G at the position P; t is simulation time length; u, W, S and P are respectively set of unit, gas source, gas storage facility and P2G; pG,u,t、Wf,w,t、Ss,t、fp2g,p,tExtracting natural gas flow and P2G gas production for the unit u output, the gas source w gas production and the gas storage facility s at the time t respectively;
step 2.2: and establishing an electric-gas interconnection comprehensive energy system prevention control optimization scheduling model according to the electric-gas interconnection comprehensive energy system optimization model and the prevention control optimization target.
6. The hybrid control method of an electric-gas interconnected integrated energy system according to claim 1, characterized in that: in step 3, the specific steps of establishing the electric-gas interconnection comprehensive energy system correction control model are as follows:
step 3.1, establishing an electric-gas interconnection comprehensive energy system correction control optimization target:
Figure FDA0002463293220000042
wherein: t is simulation time length; ENsgm,tAnd GNsgk,tLoad shedding on the power node m and the natural gas node k at the moment t respectively; hGIs the heat value of natural gas;
step 3.2, setting a prevention control and correction control coupling relation based on the machine set, the air source, the air storage facility and the P2G output strategy in the prevention control:
Figure FDA0002463293220000043
wherein: p'G,u,t、W′f,w,t、S′s,tAnd f'p2g,p,tRespectively outputting power for the machine set, the air source, the air storage facility and the P2G after the fault;
Figure FDA0002463293220000051
S′sand
Figure FDA0002463293220000052
adjusting the upper limit for the unit, the air source, the air storage facility and the P2G;
and 3.3, establishing a prevention control optimization scheduling model of the electric-gas interconnection comprehensive energy system according to the electric-gas interconnection comprehensive energy system optimization model and the correction control optimization target.
7. The hybrid control method of an electric-gas interconnected integrated energy system according to claim 1, characterized in that: in the step 4, the hybrid control of the electricity-gas interconnection comprehensive energy system comprises the following specific steps:
step 4.1, setting an expected fault set, initializing a key fault set to be empty, and setting a load shedding index;
4.2, performing prevention, control and optimization calculation on the electric-gas interconnection comprehensive energy system aiming at the key fault set in the expected fault set;
4.3, based on a prevention control strategy, performing correction control optimization calculation on the electricity-gas interconnection comprehensive energy system aiming at other faults outside the key fault set in the expected fault set;
step 4.4, searching the fault corresponding to the maximum load shedding in the correction process in the step 4.3, and defining the fault as the most serious fault;
step 4.5, judging whether the most serious fault meets the index, if so, turning to step 4.6, otherwise, turning to step 4.7;
step 4.6, adding the most serious fault to the key fault set, and turning to the step 4.2;
and 4.7, outputting a prevention control strategy, a correction control strategy and a key fault set.
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