CN109740242A - Consider that the electric-gas integrated energy system of natural gas thermal procession unifies energy flux computation method - Google Patents
Consider that the electric-gas integrated energy system of natural gas thermal procession unifies energy flux computation method Download PDFInfo
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Abstract
The invention discloses the electric-gas integrated energy systems for considering natural gas thermal procession to unify energy flux computation method, key step are as follows: 1) establishes the device model for considering natural gas system thermal procession.The device model includes natural gas line model and compressor model.2) it is based on device model, the unification for establishing electric-gas integrated energy system can flow solving model.It includes natural gas system model, electric power system model and coupling element model that the unification of the electric-gas integrated energy system, which can flow solving model,.3) solving model can be flowed using the unification of electric-gas integrated energy system to calculate the energy stream of electric-gas integrated energy system to be detected.The present invention can be more accurate reflection natural gas temperature situation of change as caused by thermal procession, and its influence to other state variables in system.
Description
Technical field
The present invention relates to electric-gas integrated energy system field, the comprehensive energy of the electric-gas of specifically consideration natural gas thermal procession
Source system unifies energy flux computation method.
Background technique
In recent years, the coupling day with the increasingly promotion of gas turbine installed capacity, between electric system and natural gas system
It is beneficial close, therefore, carry out that unified to flow solution most important to electric-gas integrated energy system.Natural gas passes through different elements
Thermal procession will lead to temperature and constantly change, and the variation of the variables such as temperature, air pressure and flow is influenced each other and is coupled.
No matter natural gas temperature can all have an important influence on electric system or natural gas system, for example, influencing the energy of compressor
The energy conversion efficiency of consumption and gas turbine.Temperature and air pressure can also joint effect hydrate generation, hydrate will lead
It causes the reduction of gas transport efficiency, partial pressure to accumulate excessive, gas net equipment damage, or even cause a point defeated interruption, reduces to user
Gas supply reliability.Occur to supply branch in gas turbine when interrupting, also will affect power supply reliability.Therefore in addition to air pressure, temperature
Also it is necessary to be considered as state variable.
Existing electric-gas integrated energy system unifies energy flux computation model largely and only considered the flow equilibrium of node,
Air pressure and flow as state variable, and the temperature of natural gas is generally taken as the constant equal with environment temperature, pipeline
In thermal procession be ignored.The existing calculation method for considering pipeline thermal procession uses Weymouth equation as pipe
The discharge model in road, but contradictory place is, and in fact Weymouth equation is the hypothesis constant based on entire pipe temperature
It derives, therefore its computational accuracy is limited under the background for considering thermal procession.In the heating power mistake specifically for natural gas line
In the research of journey, generally use Su Huofu formula etc. description pipeline different location Temperature Distribution, these formula can count and
Temperature change caused by natural gas and external environment heat exchange and gas rub along pipeline.When it is desirable that observing natural gas simultaneously
When temperature and pressure distribution in the duct, generally using one group of reflection gas flow behavior partial differential equation in the duct, and
Solved using the numerical computation methods such as finite difference approximation and Jung-Ku Tafa, thus in pipeline any point temperature
It can be obtained with atmospheric pressure state.
The pipeline flow model of partial differential form since it covers State variable information in the pipeline being largely not necessarily to, from
And huge calculation amount is brought, therefore the unification for not being suitable for electric-gas integrated energy system can flow solution.In addition, compressor
As another important equipment of natural gas system, thermal procession will lead to the significant temperature rise of Egress node, and this characteristic
It can uniformly flow in method for solving in existing electric-gas integrated energy system and all be not accounted for.
Summary of the invention
Present invention aim to address problems of the prior art.
To realize the present invention purpose and the technical solution adopted is that such, consider that the electric-gas of natural gas thermal procession is comprehensive
It closes energy resource system and unifies energy flux computation method, mainly comprise the steps that
1) device model for considering natural gas system thermal procession is established.The device model includes natural gas line model
And compressor model.
The natural gas line model includes natural gas line thermodynamic model and natural gas line discharge model.The compression
Machine model includes compressor thermodynamic model and compressor flowrate model.
1.1) key step for establishing natural gas line model is as follows:
1.1.1) natural gas horizontal pipeline m1n1Gas flowing conservation equation it is as follows:
Wherein, p and T is respectively the pressure and temperature of natural gas.Z and R be respectively natural gas compressibility factor and gas it is normal
Number.λ is coefficient of friction.X is current location at a distance from pipeline starting point.WithThe respectively internal diameter and sectional area of pipeline.For the mass flow for flowing through pipeline.D () is differential sign.
1.1.2) as follows with the natural gas temperature T (x) at pipeline start position distance x:
In formula, amnFor design factor.TsFor environment temperature.Tm1For from natural gas system node m1The temperature of the natural gas of outflow
Degree.ηJTFor Joule-Thomson coefficient.pm1And pn1Respectively first node m in natural gas line branch1With end-node n1Air pressure.For natural gas line m1n1Length.
Wherein, conversion coefficientIt is as follows:
In formula,For natural gas line m1n1Heat transfer coefficient.ρ0For the density of natural gas in normal conditions.CpFor day
The heat capacity at constant pressure of right gas.To flow through natural gas line m1n1Standard state under volume flow.For natural gas line
m1n1Internal diameter.
1.1.3) using natural gas temperature T as state variable, then formula 1 is rewritten as following formula:
1.1.4) formula 2 and formula 3 are brought into formula 4, obtained:
1.1.5) standard state lower volume flow and the transformational relation of mass flow are as follows:
Gas constant R is as follows:
1.1.6) formula 6 and formula 7 are brought into formula 5, obtain the pipeline of the quantic suitable for non-isothermal condition
Discharge model, it may be assumed that
In formula, T0For natural gas temperature under standard state.p0For gas pressure under standard state.λ is coefficient of friction.
1.1.7) according to formula 5, pipeline thermodynamic model, i.e. natural gas line m1n1Exit gas temperatureCalculating
Formula is as follows:
1.2) compressor thermodynamic model is as follows:
In formula, Tm2For from natural gas system compressor node m2The temperature of the natural gas of outflow.For compressor m2n2Out
Gas temperature at mouthful.pm2And pn2Respectively first node m in natural gas compressor branch2With end-node n2Air pressure.It is more
Varying index.
Compressor flowrate model is as shown in formula 11 to formula 12:
In formula,For the energy of compressor consumption.Constant related with working efficiency is consumed for compressor.For the flow for flowing through compressor.
In formula,For the flow of compressor consumption.WithThe respectively energy conversion parameter of compressor.
2) it is based on device model, the unification for establishing electric-gas integrated energy system can flow solving model.
It includes natural gas system model, electric system mould that the unification of the electric-gas integrated energy system, which can flow solving model,
Type and coupling element model.
Natural gas system model includes the thermodynamic equilibrium model of natural gas system node and the flow of natural gas system node
Balance model.
The thermodynamic equilibrium of natural gas system node is as follows:
In formula, m ∈ n indicates that node m is adjacent with node n.FG,nAnd TG,nThe gas source of respectively natural gas system node n injects
The temperature of flow and the gas source natural gas.M=m1,m2.N=n1, n2。
Sign function sgn1The value of (m, n) is as follows:
The flow equilibrium model of natural gas system node is as follows:
In formula, FD,nAnd FGAS,nThe air-flow of common gas load and the gas turbine consumption of respectively natural gas system node n
Amount.NmFor the sum of natural gas system node.
Sign function sgn2The value of (m, n) is as follows:
Electric power system model includes electric system node active power balance equation and reactive power equilibrium equation.
Electric system node active power balance equation is as follows:
In formula, PG,iAnd PGAS,iFor the conventional power unit of electric system node i and the active power output of gas turbine.PD,iFor electric power
The common burden with power of system node i.
Electric system node reactive power equilibrium equation is as follows:
In formula, QG,iAnd QGAS,iThe respectively idle power output of the conventional power unit and gas turbine of electric system node i.QD,iFor
The common load or burden without work of electric system node i.QC,iFor the power output of the parallel reactive power compensator of electric system node i.ViAnd θi
The respectively voltage magnitude and phase angle of electric system node i.GijAnd BijFor the reality of the i-th row jth column element of node admittance matrix
Portion and imaginary part.NeFor electric system node total number.θijFor the phase angle difference of electric system node i and electric system node j.
The energy transformation model of coupling element gas turbine is as follows:
In formula, GHV is natural gas high heating value.αi,n、βi,nAnd γi,nFor connection electric system node i and natural gas system section
The energy conversion parameter of the gas turbine of point n.
3) solving model can be flowed to electric-gas integrated energy system to be detected using the unification of electric-gas integrated energy system
Energy stream is calculated.
The solution have the advantages that unquestionable.The invention proposes a kind of new unifications can flow method for solving, can
With more accurate reflection natural gas temperature situation of change as caused by thermal procession, and its to other state variables in system
It influences.
Detailed description of the invention
Fig. 1 is 13 node natural gas system schematic diagrames；
Fig. 2 is that node hydrate generates judgement figure.
Specific embodiment
Below with reference to embodiment, the invention will be further described, but should not be construed the above-mentioned subject area of the present invention only
It is limited to following embodiments.Without departing from the idea case in the present invention described above, according to ordinary skill knowledge and used
With means, various replacements and change are made, should all include within the scope of the present invention.
Embodiment 1:
Consider that the electric-gas integrated energy system of natural gas thermal procession unifies energy flux computation method, mainly includes following step
It is rapid:
1) device model for considering natural gas system thermal procession is established.The device model includes natural gas line model
And compressor model.
The natural gas line model includes natural gas line thermodynamic model and natural gas line discharge model.The compression
Machine model includes compressor thermodynamic model and compressor flowrate model.
1.1) key step for establishing natural gas line model is as follows:
1.1.1) natural gas horizontal pipeline m1n1Gas flow conservation (conservation of mass, the conservation of momentum, the conservation of energy) equation
It is as follows:
Wherein, p and T is respectively the pressure and temperature of natural gas.Z and R be respectively natural gas compressibility factor and gas it is normal
Number.λ is coefficient of friction.X is current location at a distance from pipeline starting point.WithThe respectively internal diameter and sectional area of pipeline.For the mass flow for flowing through pipeline.D () is differential sign.
1.1.2) as follows with the natural gas temperature T (x) at pipeline start position distance x:
In formula,For design factor.TsFor environment temperature.TmTemperature for the natural gas flowed out from natural gas system node m
Degree.ηJTFor Joule-Thomson coefficient.pm1And pn1Respectively first node m in natural gas line branch1With end-node n1Air pressure.For natural gas line m1n1Length.
In calculation formula 2, since the value of the Section 3 on the right is much smaller than front two, the third on the right can be ignored
?.
Wherein, conversion coefficientIt is as follows:
In formula,For natural gas line m1n1Heat transfer coefficient.ρ0For the density of natural gas in normal conditions.CpFor day
The heat capacity at constant pressure of right gas.To flow through natural gas line m1n1Standard state under volume flow.For natural gas line
m1n1Internal diameter.
1.1.3) using natural gas temperature T as state variable, then formula 1 is rewritten as following formula:
1.1.4) formula 2 and formula 3 are brought into formula 4, obtained:
1.1.5) standard state lower volume flow and the transformational relation of mass flow are as follows:
Gas constant R is as follows:
1.1.6) formula 6 and formula 7 are brought into formula 5, obtain the pipeline of the quantic suitable for non-isothermal condition
Discharge model, it may be assumed that
In formula, T0For natural gas temperature under standard state.p0For gas pressure under standard state.λ is coefficient of friction.p0
=101.325kPa, T0=293.15K.
1.1.7) according to formula 5, thermodynamic model, i.e. natural gas line m1n1Exit gas temperatureCalculating formula it is as follows
It is shown:
1.2) compressor thermodynamic model is as follows:
In formula, Tm2For from natural gas system compressor node m2The temperature of the natural gas of outflow.For compressor m2n2Out
Gas temperature at mouthful.pm2And pn2Respectively first node m in natural gas compressor branch2With end-node n2Air pressure.It is more
Varying index shows that the practical thermal procession of compressor is between two kinds of ideal states (adiabatic compression and isotherm compression)
's.
Compressor flowrate model is as shown in formula 11 to formula 12:
In formula,For the energy of compressor consumption.Constant related with working efficiency is consumed for compressor.For the flow for flowing through compressor.
In formula,For the flow of compressor consumption.WithThe respectively energy conversion parameter of compressor.
2) it is based on device model, the unification for establishing electric-gas integrated energy system can flow solving model.
It includes natural gas system model, electric system mould that the unification of the electric-gas integrated energy system, which can flow solving model,
Type and coupling element model.
Natural gas system model includes the thermodynamic equilibrium model of natural gas system node and the flow of natural gas system node
Balance model.
Thermodynamic equilibrium reflection, the temperature of the natural gas flowed out from certain node are each branch ends for flowing into the node
The weighted average of gas temperature.It should be equal that flow equilibrium, which shows to flow into certain node and flows out its gas discharge,.
The thermodynamic equilibrium of natural gas system node is as follows:
In formula, m ∈ n indicates that node m is adjacent with node n.FG,nAnd TG,nThe gas source of respectively natural gas system node n injects
The temperature of flow and the gas source natural gas.M=m1,m2.N=n1, n2。m1And n1Indicate natural gas line node, m2And n2Indicate day
Right air compressor node.
The value of m and n includes following two groups: 1) m=m1, and n=n1.2) m=m2, and n=n2。
Work as m=m1, and n=n1When, foundation be electric-gas integrated energy system natural gas line node solving model.When
M=m2, and n=n2When, foundation be electric-gas integrated energy system natural gas compressor node solving model.
Sign function sgn1The value of (m, n) is as follows:
The flow equilibrium model of natural gas system node is as follows:
In formula, FD,nAnd FGAS,nThe air-flow of common gas load and the gas turbine consumption of respectively natural gas system node n
Amount.NmFor the sum of natural gas system node.
Sign function sgn2The value of (m, n) is as follows:
Electric power system model includes electric system node active power balance equation and reactive power equilibrium equation.
Electric system node active power balance equation is as follows:
In formula, PG,iAnd PGAS,iFor the conventional power unit of electric system node i and the active power output of gas turbine.PD,iFor electric power
The common burden with power of system node i.
Electric system node reactive power equilibrium equation is as follows:
In formula, QG,iAnd QGAS,iThe respectively idle power output of the conventional power unit and gas turbine of electric system node i.QD,iFor
The common load or burden without work of electric system node i.QC,iFor the power output of the parallel reactive power compensator of electric system node i.ViAnd θi
The respectively voltage magnitude and phase angle of electric system node i.GijAnd BijFor the reality of the i-th row jth column element of node admittance matrix
Portion and imaginary part.NeFor electric system node total number.θijFor the phase angle difference of electric system node i and electric system node j.
The energy transformation model of coupling element gas turbine is as follows:
In formula, GHV is natural gas high heating value.αi,n、βi,nAnd γi,nFor connection electric system node i and natural gas system section
The energy conversion parameter of the gas turbine of point n.
3) solving model can be flowed to electric-gas integrated energy system to be detected using the unification of electric-gas integrated energy system
Energy stream is calculated.It is one group with X=[θ that the electric-gas integrated energy system built, which unifies energy flow model,i,Vi,πm,,Tm]TAs
The nonlinear equation of system state variables.Using Newton-Raphson approach, effective solution of the model may be implemented.
Embodiment 2:
A kind of electric-gas integrated energy system of verifying consideration natural gas thermal procession unifies the experiment of energy flux computation method,
It mainly comprises the steps that
1) test macro as shown in Figure 1 is established.
With IEEE14-NGS13 system, i.e., for IEEE14 node system and 13 node natural gas systems, the test present invention
The considerations of proposed pipeline and the electric-gas integrated energy system of compressor thermal procession unify energy flux computation method.13 nodes
Natural gas system includes 2 gas sources, 3 common loads, 9 pipelines, 3 compressors and 2 gas turbines.Wherein, all pressures
Contracting machine is driven by natural gas.What 2 gas turbines were separately connected is node 1 (balance nodes) and the natural gas system of electric system
The node 6 of the node 8 of system and the node 3 of electric system and natural gas system.Its schematic diagram is as shown in Figure 1.
2) different comparison models
It is mentioned for the verifying present invention and considers that the electric-gas integrated energy system of natural gas facility thermal procession unifies energy flux computation
The validity of method is compared using following 2 models:
M1: the existing electric-gas integrated energy system for considering pipeline thermal procession unifies energy flow model.
M2: the electric-gas integrated energy system proposed by the present invention for considering natural gas thermal procession unifies energy flux computation model.
3) validation verification of pipeline flow model and compressor thermodynamic model
1 M1 and M2 node temperature of table and air pressure calculated result
Table 1, which gives, is respectively adopted when unifying to flow solution calculating of M1 and M2 progress electric-gas interacted system, and temperature is gentle
The calculated result of pressure.
As it can be seen from table 1 being calculated using institute's climbing form type of the present invention, exist with using the calculated result of existing model
Significant difference.For temperature, in node 2,3,5,9,10, the calculated result gap of two kinds of models is more than 5K, the position of these nodes
It sets all closer from compressor.This species diversity is mainly caused by the processing mode difference to compressor head and end node temperature
's.For M1, it is believed that the temperature of compressor head and end node is the constant equal with gas source temperature.And for M2, compressor
Head and end node temperature is calculated according to corresponding model, and value may differ greatly with gas source temperature.Another party
Face, when pipeline is sufficiently long, the natural gas temperature of end should therefore, be contracted close to environment temperature for tripping
The temperature of the farther away node of machine, two kinds of models calculates result difference very little.For air pressure, the result calculated using two kinds of models is poor
It is different it is also obvious that in node 13, this species diversity has reached 16.45psi, this is because the state variables such as the temperature of each node, air pressure
Between there are close coupled relation, the difference of any variable calculated result can all be affected to the calculated result of its dependent variable,
This has also highlighted the value of the invention to work.
Based on wave Nuo Maliefu empirical equation, it can judge whether hydrate generates with integration node temperature and air pressure, such as Fig. 2
It is shown.When node temperature is lower and air pressure higher (2 upper left of corresponding diagram), hydrate can be generated.
Claims (7)
1. considering that the electric-gas integrated energy system of natural gas thermal procession unifies energy flux computation method, which is characterized in that main packet
Include following steps:
1) device model for considering natural gas system thermal procession is established；The device model includes natural gas line model
And compressor model.
The natural gas line model includes natural gas line thermodynamic model and natural gas line discharge model；The compressor mould
Type includes compressor thermodynamic model and compressor flowrate model；
2) it is based on device model, the unification for establishing electric-gas integrated energy system can flow solving model；
The unification of the electric-gas integrated energy system can flow solving model include natural gas system model, electric power system model and
Coupling element model；
3) solving model can flow to electric-gas integrated energy system to be detected can be flowed using the unification of electric-gas integrated energy system
It is calculated.
2. the electric-gas integrated energy system according to claim 1 for considering natural gas thermal procession unifies energy flux computation side
Method, it is characterised in that: establish natural gas line model, key step is as follows:
1) natural gas horizontal pipeline m1n1Gas flowing conservation equation it is as follows:
Wherein, p and T is respectively the pressure and temperature of natural gas；Z and R is respectively the compressibility factor and gas constant of natural gas；λ
For coefficient of friction；X is current location at a distance from pipeline starting point；WithThe respectively internal diameter and sectional area of pipeline；
For the mass flow for flowing through pipeline；D () is differential sign；
2) as follows with the natural gas temperature T (x) at pipeline start position distance x:
In formula,For design factor；TsFor environment temperature；Tm1For from natural gas system node m1The temperature of the natural gas of outflow；
ηJTFor Joule-Thomson coefficient；pm1And pn1Respectively first node m in natural gas line branch1With end-node n1Air pressure；
For natural gas line m1n1Length；
Wherein, design factorIt is as follows:
In formula,For natural gas line m1n1Heat transfer coefficient；ρ0For the density of natural gas in normal conditions；CpFor natural gas
Heat capacity at constant pressure；To flow through natural gas line m1n1Standard state under volume flow；For natural gas line m1n1
Internal diameter；
3) using natural gas temperature T as state variable, then formula 1 is rewritten as following formula:
4) formula 2 and formula 3 are brought into formula 4, are obtained:
5) standard state lower volume flow and the transformational relation of mass flow are as follows:
Gas constant R is as follows:
6) formula 6 and formula 7 are brought into formula 5, obtain the pipeline flow model of the quantic suitable for non-isothermal condition,
That is:
In formula, T0For natural gas temperature under standard state；p0For gas pressure under standard state；λ is coefficient of friction；
7) according to formula 2, pipeline thermodynamic model, i.e. natural gas line m1n1Exit gas temperatureThe following institute of calculating formula
Show:
。
3. the electric-gas integrated energy system according to claim 1 or 2 for considering natural gas thermal procession unifies energy flux computation
Method, which is characterized in that compressor thermodynamic model is as follows:
In formula, Tm2For from natural gas system compressor node m2The temperature of the natural gas of outflow；For compressor m2n2Exit
Gas temperature；pm2And pn2Respectively first node m in natural gas compressor branch2With end-node n2Air pressure；For changeable finger
Number.
4. the electric-gas integrated energy system according to claim 1 for considering natural gas thermal procession unifies energy flux computation side
Method, which is characterized in that compressor flowrate model is respectively as shown in formula 11 to formula 12:
In formula,For the energy of compressor consumption；Constant related with working efficiency is consumed for compressor；For
Flow through the flow of compressor；
In formula,For the flow of compressor consumption；WithThe respectively energy conversion parameter of compressor.
5. the electric-gas integrated energy system according to claim 1 for considering natural gas thermal procession unifies energy flux computation side
Method, which is characterized in that natural gas system model includes the thermodynamic equilibrium model and natural gas system node of natural gas system node
Flow equilibrium model；
The thermodynamic equilibrium of natural gas system node is as follows:
In formula, m ∈ n indicates that node m is adjacent with node n；FG,nAnd TG,nThe gas source of respectively natural gas system node n injects flow
With the temperature of the gas source natural gas；M=m1,m2；N=n1, n2；
Sign function sgn1The value of (m, n) is as follows:
The flow equilibrium model of natural gas system node is as follows:
In formula, FD,nAnd FGAS,nThe throughput of common gas load and the gas turbine consumption of respectively natural gas system node n；Nm
For the sum of natural gas system node；
Sign function sgn2The value of (m, n) is as follows:
。
6. the electric-gas integrated energy system according to claim 1 for considering natural gas thermal procession unifies energy flux computation side
Method, which is characterized in that electric power system model includes electric system node active power balance equation and reactive power equilibrium equation；
Electric system node active power balance equation is as follows:
In formula, PG,iAnd PGAS,iFor the conventional power unit of electric system node i and the active power output of gas turbine；PD,iFor electric system
The common burden with power of node i；
Electric system node reactive power equilibrium equation is as follows:
In formula, QG,iAnd QGAS,iThe respectively idle power output of the conventional power unit and gas turbine of electric system node i；QD,iFor electric power
The common load or burden without work of system node i；QC,iFor the power output of the parallel reactive power compensator of electric system node i；ViAnd θiRespectively
For the voltage magnitude and phase angle of electric system node i；GijAnd BijFor node admittance matrix the i-th row jth column element real part and
Imaginary part；NeFor electric system node total number；θijFor the phase angle difference of electric system node i and electric system node j.
7. the electric-gas integrated energy system according to claim 1 for considering natural gas thermal procession unifies energy flux computation side
Method, which is characterized in that the energy transformation model of coupling element gas turbine is as follows:
In formula, GHV is natural gas high heating value；αi,n、βi,nAnd γi,nFor connection electric system node i and natural gas system node n
Gas turbine energy conversion parameter.
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