CN107491849A - Meter and the plant gas gas storage capacity calculation methods of electrical couplings system restriction - Google Patents

Meter and the plant gas gas storage capacity calculation methods of electrical couplings system restriction Download PDF

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CN107491849A
CN107491849A CN201710927821.3A CN201710927821A CN107491849A CN 107491849 A CN107491849 A CN 107491849A CN 201710927821 A CN201710927821 A CN 201710927821A CN 107491849 A CN107491849 A CN 107491849A
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CN107491849B (en
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孙宏斌
郭庆来
王彬
乔铮
张伯明
吴文传
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Tsinghua University
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Abstract

Counted and the plant gas gas storage capacity calculation methods of electrical couplings system restriction the present invention relates to a kind of, belong to the plan optimization technical field of multipotency stream coupled system.For this method using the method optimized, the capacity that gas storage equipment is configured for plant gas provides preferred plan.On the one hand power system and the operation of natural gas grid constraint, the potential safety hazard for avoiding the gas storage scheme of low capacity from being brought to power system are considered simultaneously;On the other hand the Cost Problems of gas storage equipment are considered, avoid economic waste caused by the gas storage scheme of excess capacity.This method can apply in the planning of plant gas gas storage facility, to manage the configuration foundation that gas storage equipment capacity is provided with designer, be favorably improved the security and economy of plant gas power supply.

Description

Meter and the plant gas gas storage capacity calculation methods of electric-gas coupled system constraint
Technical field
The present invention relates to a kind of meter and the plant gas gas storage capacity calculation methods of electric-gas coupled system constraint, belong to more The plan optimization technical field of coupled system can be flowed.
Background technology
Because the cost of gas electricity generator is relatively low, fast response time smaller to the destructive power of environment, the construction week of gas station The huge advantages such as the phase is shorter, worldwide turn into the important component of power supply energy.And as plant gas is in electricity Ratio in Force system energy resource supply increases sharply, and the degree of coupling of power system and natural gas system is gradually deepened, power train The dependence that the safety and stability of system supplies safety to natural gas system is also deepened therewith.
On the other hand, fluctuation of the natural gas load between year, month, day is very violent, and in many national regulations, its He business, civil natural gas load priority be higher than plant gas Gas Load.If there is spike in other natural gas loads When, due to the security constraint of natural gas system, the Gas Load of plant gas may be caused insufficient, therefore in plant gas Configuration certain capacity natural gas gas storage facility be a kind of common and effectively to improve Operation of Electric Systems safety side Method.However, gas storage facility cost be usually proportionate with its capacity, therefore how reasonably to configure gas storage equipment capacity into For urgent problem to be solved.
The content of the invention
The purpose of the present invention is to propose to count and electric-gas coupled system constraint plant gas gas storage capacity calculation methods, with Avoid the power system energy supply deficiency caused by gas storage capacity configuration is too small, or the economy caused by gas storage capacity configuration is excessive Waste.
The plant gas gas storage capacity calculation methods of meter and electric-gas coupled system constraint proposed by the present invention, including it is following Step:
(1) optimization object function for the plant gas cost of electricity-generating established in an electric-gas coupled system is as follows:
Ccoal(Gcoal)=Pcoal×Gcoal
Cgas(Lgas)=Pgas×Lgas
Wherein, C be Operation of Electric Systems totle drilling cost, Ccoal(Gcoal) it is coal-fired cost, GcoalFor coal consumption, PcoalFor The price of coal, Cgas(Lgas) it is combustion gas cost, LgasFor air consumption, PgasFor the purchasing price of natural gas, Cstorage(V) it is storage Gas cost, V be gas storage equipment volume, TlifeFor the service life of gas storage equipment;
(2) the equality constraint equation of electric-gas coupled system steady state Safe Operation is established, including:
The power flow equation of power system is as follows in (2-1) electric-gas coupled system:
Wherein, PiFor the injection active power of i-th of node in power system, QiFor the note of i-th of node in power system Enter reactive power, GijFor the corresponding conductance of the i-th row, jth row in the bus admittance matrix Y with power system, BijFor with electric power I-th row in the bus admittance matrix Y of system, jth arrange corresponding susceptance, and power system bus admittance matrix Y is from power system Control centre obtains;
The waterpower equation of pipeline is as follows in natural gas grid in (2-2) electric-gas coupled system:
Wherein, fkmFor natural gas volume flow in the pipeline in natural gas grid between k-th of node and m-th of node, pk, pmThe respectively pressure of k-th of node and m-th of node, DkmAnd LkmPipeline km between respectively k-th of node and m-th of node Pipe diameter and duct length, F be inner-walls of duct coefficient of friction, F is by formulaCalculate Arrive, EfFor the efficiency factor of pipeline, EfValue is that 0.92, Re is Reynolds number, by formulaIt is calculated, ρ For natural gas density, μmFor the coefficient of kinetic viscosity (relevant with natural gas density, can table look-up acquisition) of natural gas, γGFor natural gas Proportion, 0 < γG< 1, TaFor natural gas mean temperature, TnAnd pnThe temperature and pressure of natural gas, Z respectively under standard stategFor The average compressible coefficient of natural gas, 0.9 < Zg< 1.5, in above-mentioned natural gas grid in the waterpower equation of pipeline, when When, the sgn in above formulap(pk,pm)=1, whenWhen, sgnp(pk,pm)=- 1;
The energy expenditure equation of compressor is as follows in the natural gas grid of (2-3) electric-gas coupled system:
Wherein, pk, pmThe pressure of k-th of node and m-th of node respectively in natural gas grid, BHPkmFor k-th of node The energy expenditure of compressor between m-th of node,For the inlet volumetric flow of the compressor, ηcFor the total of the compressor Efficiency, ckFor the polytropic coefficient of the compressor, ηcAnd ckObtained from the shop instructions of compressor;
Coupling between the power system coupled in (2-4) electric-gas coupled system by gas turbine and natural gas grid It is as follows to close equation:
μPTur=Hgas×[fTur+(Vt-1-Vt)],
Wherein, fTurThe volume flow of the combustion gas inputted for gas turbine by pipeline, PTurFor the active power of gas turbine Output, VtIt is gas storage equipment in the gas reserves of t, HgasFor the combustion heat value of natural gas, value 37.59MJ/m3, μ For the efficiency factor of gas turbine, obtained by the shop instructions of gas turbine;
The node air balance equation of natural gas grid is as follows in (2-5) electric-gas coupled system:
AGF=L,
Wherein, AGFor node-branch road matrix of natural gas grid, f is the volume flow of natural gas grid branch road, and L is natural gas The gas load of net node, L obtain according to natural gas grid history data;
(3) the inequality constraints condition of electric-gas coupled system steady state Safe Operation is set, including:
The power output P of (3-1) generators in power systems groupi genMore than or equal to 0, less than or equal to the generating set Dispatch from the factory the peak power provided on nameplateI.e.:
The voltage magnitude U of i-th of node of (3-2) power systemiIn the upper limit of the safe operation of power system voltage of setting ValueWith lower limit UiBetween run, UiFor 0.95 times of i-th of node rated voltage,For i-th node rated voltage 1.05 times, i.e.,:
The transmission capacity S of the l articles circuit in (3-3) power systemlLess than or equal to the safe operation of power system of setting The maximum of transmission capacityI.e.:
The pressure p of k-th of node in (3-4) natural gas gridkThe higher limit of air pressure, lower limit are run in the pipe safety of setting Valuep kIt is interior, i.e.,:
The flow f of b-th of pipeline in (3-5) natural gas gridbHigher limit, lower limit in the pipe safety operating flux of setting Valuef bIt is interior, i.e.,:
Gas source feed amount f in (3-6) natural gas gridsLess than or equal to the maximum that the source of the gas can provide natural gas flow fs,max, i.e.,:
fs≤fs,max
The constraints of compressor safe operation in (3-7) natural gas grid:
Wherein:S is the step-up ratio of the compressor, SmaxIt is the maximum step-up ratio of the compressor, SmaxBy dispatching from the factory for compressor Nameplate obtains,For the volume flow of the entrance of the compressor,For the maximum allowable volume flow of entrance of the compressor,Obtained by the nameplate that dispatches from the factory of compressor, poutFor the outlet pressure of compressor, pc,maxIt is maximum allowable for the outlet of compressor Pressure, pc,maxObtained by the nameplate that dispatches from the factory of compressor;
Gas storage equipment should be greater than being equal to 0 in the reserves of t in (3-8) plant gas, less than or equal to gas storage equipment most Big volume:
0≤Vt≤Vmax
(4) optimized algorithm is utilized, it is that object function, above-mentioned steps (2) and step (3) are about to solve by above-mentioned steps (1) The Optimized model of beam condition, obtain the moon optimal gas storage capacity curve of the gas storage equipment under prediction year load, optimal gas storage capacity Abscissa in curve is 12 months, and the ordinate in optimal gas storage capacity curve is moon gas storage capacity;
(5) according to the optimal gas storage capacity curve of above-mentioned steps (4), the desired value of capacity is asked for, will be closest to desired value Optimal capacity of the capacity as gas storage equipment in plant gas.
It is proposed by the present invention meter and electric-gas coupled system constraint plant gas gas storage capacity calculation methods, its feature and Effect is:For the present invention using the method optimized, the capacity that gas storage equipment is configured for plant gas provides preferred plan.On the one hand Power system and the operation of natural gas grid constraint are considered simultaneously, avoid what the gas storage scheme of low capacity was brought to power system Potential safety hazard;On the other hand the Cost Problems of gas storage equipment are considered, avoid economy caused by the gas storage scheme of excess capacity Waste.This method be can apply in the planning of plant gas gas storage facility, and gas storage equipment is provided for management and designer The configuration foundation of capacity, it is favorably improved the security and economy of plant gas power supply.
Brief description of the drawings
Fig. 1 is the structure rough schematic view for the electric-gas coupled system that the inventive method is related to.
Embodiment
The plant gas gas storage capacity calculation methods of meter and electric-gas coupled system constraint proposed by the present invention, are directed to Electric-gas coupled system structural representation as shown in figure 1, this method comprises the following steps:
(1) optimization object function for the plant gas cost of electricity-generating established in an electric-gas coupled system is as follows:
Ccoal(Gcoal)=Pcoal×Gcoal
Cgas(Lgas)=Pgas×Lgas
Wherein, C be Operation of Electric Systems totle drilling cost, Ccoal(Gcoal) it is coal-fired cost, GcoalFor coal consumption, (unit is Ton), PcoalFor the price (unit for yuan/ton, coal price decision is sold by local then) of coal, Cgas(Lgas) for combustion gas into This, LgasFor air consumption (unit is mark cubic meter), PgasFor the purchasing price of natural gas, (unit is member/mark cubic meter, by then Local sells gas price decision), Cstorage(V) (provided for gas storage cost by production and installation producer), V is the appearance of gas storage equipment Product, can be by obtaining in the shop instructions of gas storage equipment, Tlife, can be by gas storage equipment for the service life of gas storage equipment Product nameplate obtains;
(2) the equality constraint equation of electric-gas coupled system steady state Safe Operation is established, including:
The power flow equation of power system is as follows in (2-1) electric-gas coupled system:
Wherein, PiFor the injection active power of i-th of node in power system, QiFor the note of i-th of node in power system Enter reactive power, GijFor the corresponding conductance of the i-th row, jth row in the bus admittance matrix Y with power system, BijFor with electric power I-th row in the bus admittance matrix Y of system, jth arrange corresponding susceptance, and power system bus admittance matrix Y is from power system Control centre obtains;
The waterpower equation of pipeline is as follows in natural gas grid in (2-2) electric-gas coupled system:
Wherein, fkmFor natural gas volume flow in the pipeline in natural gas grid between k-th of node and m-th of node, pk, pmThe respectively pressure of k-th of node and m-th of node, DkmAnd LkmPipeline km between respectively k-th of node and m-th of node Pipe diameter and duct length, F be inner-walls of duct coefficient of friction, F is by formulaCalculate Arrive, EfFor the efficiency factor of pipeline, EfValue is that 0.92, Re is Reynolds number, by formulaIt is calculated, ρ For natural gas density, μmFor the coefficient of kinetic viscosity (relevant with natural gas density, can table look-up acquisition) of natural gas, γGFor natural gas Proportion, 0 < γG< 1, TaFor natural gas mean temperature, TnAnd pnThe temperature and pressure of natural gas respectively under standard state, In one embodiment of the present of invention, TnAnd pnValue be respectively 288K and 0.1Mpa, ZgFor the average compressible coefficient of natural gas, 0.9 < Zg< 1.5, in above-mentioned natural gas grid in the waterpower equation of pipeline, whenWhen, the sgn in above formulap(pk, pm)=1, whenWhen, sgnp(pk,pm)=- 1;
The energy expenditure equation of compressor is as follows in the natural gas grid of (2-3) electric-gas coupled system:
Wherein, pk, pmThe pressure of k-th of node and m-th of node respectively in natural gas grid, BHPkmFor k-th of node The energy expenditure of compressor between m-th of node,For the inlet volumetric flow of the compressor, ηcFor the total of the compressor Efficiency, ckFor the polytropic coefficient of the compressor, ηcAnd ckObtained from the shop instructions of compressor;
Coupling between the power system coupled in (2-4) electric-gas coupled system by gas turbine and natural gas grid It is as follows to close equation:
μPTur=Hgas×[fTur+(Vt-1-Vt)],
Wherein, fTurThe volume flow of the combustion gas inputted for gas turbine by pipeline, PTurFor the active power of gas turbine Output, VtIt is gas storage equipment in the gas reserves of t, HgasFor the combustion heat value of natural gas, value 37.59MJ/m3, μ For the efficiency factor of gas turbine, obtained by the shop instructions of gas turbine;
The node air balance equation of natural gas grid is as follows in (2-5) electric-gas coupled system:
AGF=L,
Wherein, AGFor node-branch road matrix of natural gas grid, f is the volume flow of natural gas grid branch road, and L is natural gas The gas load of net node, L obtain according to natural gas grid history data;
(3) the inequality constraints condition of electric-gas coupled system steady state Safe Operation is set, including:
The power output P of (3-1) generators in power systems groupi genMore than or equal to 0, less than or equal to the generating set Dispatch from the factory the peak power provided on nameplateI.e.:
The voltage magnitude U of i-th of node of (3-2) power systemiIn the upper limit of the safe operation of power system voltage of setting ValueAnd lower limitU iBetween run,U iFor 0.95 times of i-th of node rated voltage,For i-th node rated voltage 1.05 times, i.e.,:
The transmission capacity S of the l articles circuit in (3-3) power systemlLess than or equal to the safe operation of power system of setting The maximum of transmission capacityI.e.:
The pressure p of k-th of node in (3-4) natural gas gridkThe higher limit of air pressure, lower limit are run in the pipe safety of setting Valuep kIt is interior, i.e.,:
The flow f of b-th of pipeline in (3-5) natural gas gridbHigher limit, lower limit in the pipe safety operating flux of setting Valuef bIt is interior, i.e.,:
Gas source feed amount f in (3-6) natural gas gridsLess than or equal to the maximum that the source of the gas can provide natural gas flow fs,max, i.e.,:
fs≤fs,max
The constraints of compressor safe operation in (3-7) natural gas grid:
Wherein:S is the step-up ratio of the compressor, SmaxIt is the maximum step-up ratio of the compressor, SmaxBy dispatching from the factory for compressor Nameplate obtains,For the volume flow of the entrance of the compressor,For the maximum allowable volume flow of entrance of the compressor,Obtained by the nameplate that dispatches from the factory of compressor, poutFor the outlet pressure of compressor, pc,maxFor the maximum allowable pressure in outlet of compressor Power, pc,maxObtained by the nameplate that dispatches from the factory of compressor;
Gas storage equipment should be greater than being equal to 0 in the reserves of t in (3-8) plant gas, less than or equal to gas storage equipment most Big volume:
0≤Vt≤Vmax
(4) optimized algorithm is utilized, interior point method is used in one embodiment of the present of invention, it is mesh to solve by above-mentioned steps (1) Scalar functions, above-mentioned steps (2) and step (3) are the Optimized model of constraints, obtain gas storage equipment under prediction year load Month optimal gas storage capacity curve, the abscissa in optimal gas storage capacity curve is 12 months, vertical in optimal gas storage capacity curve Coordinate is moon gas storage capacity;
(5) according to the optimal gas storage capacity curve of above-mentioned steps (4), the desired value of capacity is asked for, it is contemplated that gas storage equipment Typically there is certain design specification (such as 1000m3,2000m3,5000m3Deng), using closest to the capacity of desired value as combustion gas The optimal capacity of gas storage equipment in power plant.

Claims (1)

1. a kind of meter and the plant gas gas storage capacity calculation methods of electric-gas coupled system constraint, it is characterised in that this method bag Include following steps:
(2) optimization object function for the plant gas cost of electricity-generating established in an electric-gas coupled system is as follows:
<mrow> <mi>C</mi> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>y</mi> <mi>e</mi> <mi>a</mi> <mi>r</mi> </mrow> </munder> <msub> <mi>C</mi> <mrow> <mi>c</mi> <mi>o</mi> <mi>a</mi> <mi>l</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>G</mi> <mrow> <mi>c</mi> <mi>o</mi> <mi>a</mi> <mi>l</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mrow> <mi>g</mi> <mi>a</mi> <mi>s</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>s</mi> <mi>t</mi> <mi>o</mi> <mi>r</mi> <mi>a</mi> <mi>g</mi> <mi>e</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>V</mi> <mo>)</mo> </mrow> <mo>/</mo> <msub> <mi>T</mi> <mrow> <mi>l</mi> <mi>i</mi> <mi>f</mi> <mi>e</mi> </mrow> </msub> </mrow>
Ccoal(Gcoal)=Pcoal×Gcoal
Cgas(Lgas)=Pgas×Lgas
Wherein, C be Operation of Electric Systems totle drilling cost, Ccoal(Gcoal) it is coal-fired cost, GcoalFor coal consumption, PcoalFor coal Price, Cgas(Lgas) it is combustion gas cost, LgasFor air consumption, PgasFor the purchasing price of natural gas, Cstorage(V) for gas storage into This, V be gas storage equipment volume, TlifeFor the service life of gas storage equipment;
(2) the equality constraint equation of electric-gas coupled system steady state Safe Operation is established, including:
The power flow equation of power system is as follows in (2-1) electric-gas coupled system:
<mrow> <mtable> <mtr> <mtd> <mrow> <msup> <mi>P</mi> <mi>i</mi> </msup> <mo>=</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>&amp;Element;</mo> <mi>i</mi> </mrow> </munder> <msub> <mi>U</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>G</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>cos</mi> <mo>(</mo> <mrow> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mi>j</mi> </msub> </mrow> <mo>)</mo> <mo>+</mo> <msub> <mi>B</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>sin</mi> <mo>(</mo> <mrow> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mi>j</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mi>n</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mi>Q</mi> <mi>i</mi> </msup> <mo>=</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>&amp;Element;</mo> <mi>i</mi> </mrow> </munder> <msub> <mi>U</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>G</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>sin</mi> <mo>(</mo> <mrow> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mi>j</mi> </msub> </mrow> <mo>)</mo> <mo>-</mo> <msub> <mi>B</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>cos</mi> <mo>(</mo> <mrow> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mi>j</mi> </msub> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mi>n</mi> </mrow> </mtd> </mtr> </mtable> <mo>,</mo> </mrow>
Wherein, PiFor the injection active power of i-th of node in power system, QiFor the injection nothing of i-th of node in power system Work(power, GijFor the corresponding conductance of the i-th row, jth row in the bus admittance matrix Y with power system, BijFor with power system Bus admittance matrix Y in the i-th row, jth arrange corresponding susceptance, power system bus admittance matrix Y is from electric power system dispatching Center obtains;
The waterpower equation of pipeline is as follows in natural gas grid in (2-2) electric-gas coupled system:
<mrow> <msub> <mi>f</mi> <mrow> <mi>k</mi> <mi>m</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>sgn</mi> <mi>p</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>p</mi> <mi>k</mi> </msub> <mo>,</mo> <msub> <mi>p</mi> <mi>m</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>77.54</mn> <msub> <mi>T</mi> <mi>n</mi> </msub> </mrow> <msub> <mi>p</mi> <mi>n</mi> </msub> </mfrac> <mo>)</mo> </mrow> <msup> <mrow> <mo>(</mo> <msup> <mi>D</mi> <mrow> <mi>k</mi> <mi>m</mi> </mrow> </msup> <mo>)</mo> </mrow> <mn>2.5</mn> </msup> <msup> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <mrow> <msup> <mi>L</mi> <mrow> <mi>k</mi> <mi>m</mi> </mrow> </msup> <msub> <mi>&amp;gamma;</mi> <mi>G</mi> </msub> <msubsup> <mi>T</mi> <mi>a</mi> <mrow> <mi>k</mi> <mi>m</mi> </mrow> </msubsup> <msub> <mi>FZ</mi> <mi>g</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mn>0.5</mn> </msup> <msqrt> <mrow> <mo>(</mo> <msubsup> <mi>p</mi> <mi>k</mi> <mn>2</mn> </msubsup> <mo>-</mo> <msubsup> <mi>p</mi> <mi>m</mi> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> </msqrt> <mo>,</mo> </mrow>
Wherein, fkmFor natural gas volume flow in the pipeline in natural gas grid between k-th of node and m-th of node, pk, pmPoint Not Wei k-th of node and m-th of node pressure, DkmAnd LkmPipeline km between respectively k-th of node and m-th of node Pipe diameter and duct length, F are the coefficient of friction of inner-walls of duct, and F is by formulaCalculate Arrive, EfFor the efficiency factor of pipeline, EfValue is that 0.92, Re is Reynolds number, by formulaIt is calculated, ρ For natural gas density, μmFor the coefficient of kinetic viscosity (relevant with natural gas density, can table look-up acquisition) of natural gas, γGFor natural gas Proportion, 0 < γG< 1, TaFor natural gas mean temperature, TnAnd pnThe temperature and pressure of natural gas, Z respectively under standard stategFor The average compressible coefficient of natural gas, 0.9 < Zg< 1.5, in above-mentioned natural gas grid in the waterpower equation of pipeline, when When, the sgn in above formulap(pk,pm)=1, whenWhen, sgnp(pk,pm)=- 1;
The energy expenditure equation of compressor is as follows in the natural gas grid of (2-3) electric-gas coupled system:
<mrow> <msup> <mi>BHP</mi> <mrow> <mi>k</mi> <mi>m</mi> </mrow> </msup> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>f</mi> <mi>C</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <msub> <mi>c</mi> <mi>k</mi> </msub> </mrow> <mrow> <msub> <mi>&amp;eta;</mi> <mi>C</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>c</mi> <mi>k</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&amp;lsqb;</mo> <msup> <mrow> <mo>(</mo> <mfrac> <msub> <mi>p</mi> <mi>m</mi> </msub> <msub> <mi>p</mi> <mi>k</mi> </msub> </mfrac> <mo>)</mo> </mrow> <mfrac> <mrow> <msub> <mi>c</mi> <mi>k</mi> </msub> <mo>-</mo> <mn>1</mn> </mrow> <msub> <mi>c</mi> <mi>k</mi> </msub> </mfrac> </msup> <mo>-</mo> <mn>1</mn> <mo>&amp;rsqb;</mo> <mo>,</mo> </mrow>
Wherein, pk, pmThe pressure of k-th of node and m-th of node respectively in natural gas grid, BHPkmFor k-th of node and m The energy expenditure of compressor between individual node,For the inlet volumetric flow of the compressor, ηcFor the gross efficiency of the compressor, ckFor the polytropic coefficient of the compressor, ηcAnd ckObtained from the shop instructions of compressor;
Coupling side between the power system coupled in (2-4) electric-gas coupled system by gas turbine and natural gas grid Journey is as follows:
μPTur=Hgas×[fTur+(Vt-1-Vt)],
Wherein, fTurThe volume flow of the combustion gas inputted for gas turbine by pipeline, PTurExported for the active power of gas turbine, VtIt is gas storage equipment in the gas reserves of t, HgasFor the combustion heat value of natural gas, value 37.59MJ/m3, μ are combustion The efficiency factor of gas-turbine, obtained by the shop instructions of gas turbine;
The node air balance equation of natural gas grid is as follows in (2-5) electric-gas coupled system:
AGF=L,
Wherein, AGFor node-branch road matrix of natural gas grid, f is the volume flow of natural gas grid branch road, and L is natural gas grid node Gas load, L obtains according to natural gas grid history data;
(3) the inequality constraints condition of electric-gas coupled system steady state Safe Operation is set, including:
The power output P of (3-1) generators in power systems groupi genMore than or equal to 0, dispatched from the factory less than or equal to the generating set The peak power provided on nameplateI.e.:
<mrow> <mn>0</mn> <mo>&amp;le;</mo> <msubsup> <mi>P</mi> <mi>i</mi> <mrow> <mi>g</mi> <mi>e</mi> <mi>n</mi> </mrow> </msubsup> <mo>&amp;le;</mo> <msubsup> <mi>P</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mrow> <mi>g</mi> <mi>e</mi> <mi>n</mi> </mrow> </msubsup> <mo>;</mo> </mrow>
The voltage magnitude U of i-th of node of (3-2) power systemiIn the higher limit of the safe operation of power system voltage of settingWith Lower limitU iBetween run,U iFor 0.95 times of i-th of node rated voltage,For 1.05 times of i-th of node rated voltage, I.e.:
<mrow> <msub> <munder> <mi>U</mi> <mo>&amp;OverBar;</mo> </munder> <mi>i</mi> </msub> <mo>&amp;le;</mo> <msub> <mi>U</mi> <mi>i</mi> </msub> <mo>&amp;le;</mo> <msub> <mover> <mi>U</mi> <mo>&amp;OverBar;</mo> </mover> <mi>i</mi> </msub> <mo>;</mo> </mrow>
The transmission capacity S of the l articles circuit in (3-3) power systemlSafe operation of power system less than or equal to setting transmits appearance The maximum of amountI.e.:
<mrow> <msub> <mi>S</mi> <mi>l</mi> </msub> <mo>&amp;le;</mo> <msub> <mover> <mi>S</mi> <mo>&amp;OverBar;</mo> </mover> <mi>l</mi> </msub> <mo>;</mo> </mrow>
The pressure p of k-th of node in (3-4) natural gas gridkHigher limit, the lower limit of air pressure are run in the pipe safety of settingp kIt is interior, i.e.,:
<mrow> <msub> <munder> <mi>p</mi> <mo>&amp;OverBar;</mo> </munder> <mi>k</mi> </msub> <mo>&amp;le;</mo> <msub> <mi>p</mi> <mi>k</mi> </msub> <mo>&amp;le;</mo> <msub> <mover> <mi>p</mi> <mo>&amp;OverBar;</mo> </mover> <mi>k</mi> </msub> <mo>;</mo> </mrow>
The flow f of b-th of pipeline in (3-5) natural gas gridbIn higher limit, the lower limit of the pipe safety operating flux of settingf bIt is interior, i.e.,:
<mrow> <mn>0</mn> <mo>&amp;le;</mo> <msub> <mi>f</mi> <mi>b</mi> </msub> <mo>&amp;le;</mo> <msub> <mover> <mi>f</mi> <mo>&amp;OverBar;</mo> </mover> <mi>b</mi> </msub> <mo>;</mo> </mrow>
Gas source feed amount f in (3-6) natural gas gridsLess than or equal to the maximum f that the source of the gas can provide natural gas flows,max, i.e.,:
fs≤fs,max
The constraints of compressor safe operation in (3-7) natural gas grid:
<mrow> <mn>1</mn> <mo>&lt;</mo> <mi>S</mi> <mo>&lt;</mo> <msub> <mi>S</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>S</mi> <mo>=</mo> <mfrac> <msup> <mi>p</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msup> <msup> <mi>p</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msup> </mfrac> <mo>)</mo> </mrow> <mo>,</mo> <msubsup> <mi>f</mi> <mrow> <mi>c</mi> <mi>o</mi> <mi>m</mi> <mi>p</mi> </mrow> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>&amp;le;</mo> <msubsup> <mi>f</mi> <mrow> <mi>c</mi> <mo>,</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>,</mo> <msup> <mi>p</mi> <mrow> <mi>o</mi> <mi>u</mi> <mi>t</mi> </mrow> </msup> <mo>&amp;le;</mo> <msub> <mi>p</mi> <mrow> <mi>c</mi> <mo>,</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>,</mo> </mrow>
Wherein:S is the step-up ratio of the compressor, SmaxIt is the maximum step-up ratio of the compressor, SmaxBy the nameplate that dispatches from the factory of compressor Obtain,For the volume flow of the entrance of the compressor,For the maximum allowable volume flow of entrance of the compressor, Obtained by the nameplate that dispatches from the factory of compressor, poutFor the outlet pressure of compressor, pc,maxFor the outlet maximum allowble pressure of compressor, pc,maxObtained by the nameplate that dispatches from the factory of compressor;
Gas storage equipment should be greater than being equal to 0 in the reserves of t in (3-8) plant gas, and the maximum less than or equal to gas storage equipment is held Product:
0≤Vt≤Vmax
(4) optimized algorithm is utilized, it is that object function, above-mentioned steps (2) and step (3) are constraint bar to solve by above-mentioned steps (1) The Optimized model of part, obtain the moon optimal gas storage capacity curve of the gas storage equipment under prediction year load, optimal gas storage capacity curve In abscissa be 12 months, the ordinate in optimal gas storage capacity curve is moon gas storage capacity;
(5) according to the optimal gas storage capacity curve of above-mentioned steps (4), the desired value of capacity is asked for, by closest to the appearance of desired value Measure the optimal capacity as gas storage equipment in plant gas.
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109740242A (en) * 2018-12-29 2019-05-10 重庆大学 Consider that the electric-gas integrated energy system of natural gas thermal procession unifies energy flux computation method
CN113570115A (en) * 2021-07-01 2021-10-29 东方电气集团东方电机有限公司 Comprehensive energy system P2G plant station planning method suitable for bidirectional energy flow

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105958480A (en) * 2016-05-27 2016-09-21 清华大学 Combined static safety analysis method for electrical-gas coupling multiple energy flow system
CN106096777A (en) * 2016-06-12 2016-11-09 清华大学 A kind of Optimization Scheduling of electrical couplings multipotency streaming system
CN106096269A (en) * 2016-06-12 2016-11-09 清华大学 The Interval Power Flow computational methods of natural gas grid in a kind of electrical couplings system

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105958480A (en) * 2016-05-27 2016-09-21 清华大学 Combined static safety analysis method for electrical-gas coupling multiple energy flow system
CN106096777A (en) * 2016-06-12 2016-11-09 清华大学 A kind of Optimization Scheduling of electrical couplings multipotency streaming system
CN106096269A (en) * 2016-06-12 2016-11-09 清华大学 The Interval Power Flow computational methods of natural gas grid in a kind of electrical couplings system

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109740242A (en) * 2018-12-29 2019-05-10 重庆大学 Consider that the electric-gas integrated energy system of natural gas thermal procession unifies energy flux computation method
CN113570115A (en) * 2021-07-01 2021-10-29 东方电气集团东方电机有限公司 Comprehensive energy system P2G plant station planning method suitable for bidirectional energy flow
CN113570115B (en) * 2021-07-01 2023-04-28 东方电气集团东方电机有限公司 Comprehensive energy system P2G station planning method applicable to bidirectional energy flow

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