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CN107576913B - Hydrogen load operation analysis method in active power distribution network - Google Patents

Hydrogen load operation analysis method in active power distribution network Download PDF

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CN107576913B
CN107576913B CN201710704056.9A CN201710704056A CN107576913B CN 107576913 B CN107576913 B CN 107576913B CN 201710704056 A CN201710704056 A CN 201710704056A CN 107576913 B CN107576913 B CN 107576913B
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fuel cell
hydrogen fuel
cell
power
hydrogen
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CN107576913A (en
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陈刚
丁理杰
李佳蓉
林今
邢学韬
唐明
史华勃
汪晓华
侯岚
连利波
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Sichuan Electric Power Co Ltd
Sichuan Energy Internet Research Institute EIRI Tsinghua University
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Sichuan Electric Power Co Ltd
Sichuan Energy Internet Research Institute EIRI Tsinghua University
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Abstract

The invention provides a hydrogen load operation analysis method in an active power distribution network, which comprises the following steps: obtaining operating parameters of an electrolytic cell for hydrogen production and a hydrogen fuel cell; calculating the power of the electrolytic cell and the power of the hydrogen fuel cell according to the acquired operation parameters; fitting the effective power and the electrolytic efficiency of the electrolytic cell to form an electrolytic cell power-efficiency curve, and fitting the effective power and the working efficiency of the hydrogen fuel cell to form a hydrogen fuel cell power-efficiency curve; the method can accurately analyze the effective power injected into the power distribution network and the hydrogen conversion process of the power distribution network, and can effectively and accurately analyze the generation amount, consumption amount and storage and transportation of the hydrogen in the hydrogen energy conversion process.

Description

Hydrogen load operation analysis method in active power distribution network
Technical Field
The invention relates to an analysis method, in particular to a hydrogen load operation analysis method in an active power distribution network.
Background
The hydrogen energy is a new clean energy, the hydrogen energy is effectively utilized, the hydrogen energy has an extremely important role in the sustainable utilization of global energy and the global ecological environment, along with the development of science and technology, the hydrogen energy is gradually used in an active power distribution network, when the electric energy in the power distribution network is in the process of electrolyzing water to generate hydrogen, the electric energy is converted into chemical energy stored by the hydrogen, and when the electric energy in the power distribution network is insufficient, the electric energy generated by a hydrogen fuel cell is inferior to the electric energy in the power distribution network, so that the stable operation of the power distribution network is realized, particularly, the distributed energy is widely utilized, and the hydrogen energy is reasonably scheduled, so that the phenomena of wind abandonment and light abandonment can be relieved; however, in the prior art, the analysis of the hydrogen load in the power distribution network is mainly performed by the power injected into the power distribution network by the hydrogen fuel cell and the power injected into the electrolytic cell by the power distribution network, but how the process state of the hydrogen energy in the processes of electrolysis and power generation is, there is no effective means to perform accurate analysis at present, and further, the generation, consumption, storage and transportation of hydrogen in the process of hydrogen energy conversion cannot be accurately analyzed, so that the cost treatment of the whole power grid system is not facilitated.
Therefore, a new method is needed to be provided, on one hand, the effective power injected into the power distribution network and in the process of converting hydrogen into the power distribution network can be accurately analyzed, so that the scheduling operation of the power distribution network is facilitated, on the other hand, the generation amount, the consumption amount, the storage and transportation of hydrogen in the process of converting hydrogen energy can be effectively and accurately analyzed, and the accurate reference for reducing the operation cost of the whole power distribution network is facilitated.
Disclosure of Invention
In view of the above, the present invention provides a method for analyzing hydrogen load operation in an active power distribution network, which can accurately analyze effective power injected into the power distribution network and during a process of converting hydrogen gas by the power distribution network, and is beneficial to scheduling operation of the power distribution network, and can effectively analyze hydrogen gas generation amount, hydrogen gas consumption amount, hydrogen gas storage and transportation during a process of converting hydrogen energy, and is beneficial to making an accurate reference for reducing an operation cost of the whole power distribution network.
The invention provides a hydrogen load operation analysis method in an active power distribution network, which comprises the following steps:
s1, obtaining operation parameters of an electrolytic cell for hydrogen production and a hydrogen fuel cell;
s2, calculating the power of the electrolytic cell and the power of the hydrogen fuel cell according to the obtained operation parameters;
s3, fitting the effective power and the electrolytic efficiency of the electrolytic cell to form an electrolytic cell power-efficiency curve, and fitting the effective power of the hydrogen fuel cell and the working efficiency of the hydrogen fuel cell to form a hydrogen fuel cell power-efficiency curve;
and S4, carrying out linearization treatment on the effective power-efficiency curve of the hydrogen fuel cell and the effective power-efficiency curve of the electrolytic cell to obtain the effective power of the electrolytic cell and the hydrogen fuel cell and the amount of hydrogen in operation.
Further, in step S2, the power of the electrolytic cell and the hydrogen fuel cell is calculated according to the following method:
power of the electrolytic cell:
calculating the internal potential V of the cellez:Vez=Vez,0+Vetd+Vez,ohm+Vion
Wherein:
Figure GDA0002993425230000021
Figure GDA0002993425230000022
Figure GDA0002993425230000023
wherein, Vez,0Is the reversible potential of the cell, VetdIs the activation overpotential of the electrolytic cell, Vez,ohmIs the ohmic overpotential, V, of the cellionIs the ionic overpotential, T, of the electrolytic cellezAs the temperature of the cell, iezIs the current density of the cell, iaoIs the anodic current density of the cell, icoIs the cathode current density, delta, of the electrolytic cellBExchange of the membrane thickness, σ, for electrolytic cellsBIs the exchange membrane conductivity of the electrolytic cell; lambda is the exchange membrane constant of the electrolytic cell, R is the ideal gas constant, and F is the Faraday constant;
the power and efficiency of the cell was calculated according to the following formula:
Pez=nezVezIez
Pez,0=nezVez,0Iez
Figure GDA0002993425230000031
wherein, PezFor input power of electrolytic cells, Pez,0Is the effective power of the electrolytic cell etaezFor the efficiency of the cell, IezIs the current of a single electrolytic cell, nezThe number of total electrolytic cells in the electrolytic system;
power calculation of hydrogen fuel cell:
calculating the internal potential V of the hydrogen fuel cellfc
Vfc=Vfc,0-Vact-Vfc,ohm-Vconc
Vfc,ohm=0.299ifc
Vconc=0.028ifc 9.001
Power of hydrogen fuel cell: pfc=nfcVfcIfc
Pfc,0=nfcVfc,0Ifc
Figure GDA0002993425230000041
Wherein, VfcIs the total potential, V, of the hydrogen fuel cellfc,0Is the open circuit potential, V, of a single hydrogen fuel cellactIs the dynamic loss potential, V, of a hydrogen fuel cellfc,ohmOhmic loss cell, V, for hydrogen fuel cellconcFor overpotentials, i, caused by hydrogen fuel cell reactionsfcIs the current density of a hydrogen fuel cell, IfcIs the current of a hydrogen fuel cell, PfcIs the effective power of the hydrogen fuel cell, Pfc,0Is the input power, η, of the hydrogen fuel cellfcThe operating efficiency of the hydrogen fuel cell.
Further, in step S4, the effective power-efficiency curve of the hydrogen fuel cell and the effective power-efficiency curve of the electrolytic cell are linearized by:
establishing a segmentation model:
Figure GDA0002993425230000042
Figure GDA0002993425230000043
βi=f(ti)-αipi
wherein alpha isiFor the slope, β, of the segment line of the i-th segment after the segmentation of the curveiFor the equivalent intercept, p, of the segment line of the i-th segment after the curve segmentationiFor the segmentation point of the i-th segment after the curve segmentation, p1As hydrogen fuel cells orMinimum output of electrolytic cell, pN+1The maximum output, P, of the hydrogen fuel cell or the electrolysis celli(t) is the output, δ, of the hydrogen fuel cell or electrolyser in the i-th stage of the t periodi(t) is the state of the ith stage in the period t, and delta (t) is the running state in the period t;
and carrying out piecewise linearization processing on the effective power of the electrolytic cell and the hydrogen fuel cell according to a piecewise model to obtain:
Figure GDA0002993425230000051
Figure GDA0002993425230000052
wherein, PELIs the effective power, P, obtained after the sectional treatment of the effective power curve of the electrolytic cellELiEffective power, delta, for the i-th section of the cell effective power curveELiIs the operating state of the i-th section on the effective power curve of the electrolytic cell, aiIs the slope of the i-th section of the effective power curve of the electrolytic cell, biIs the intercept of the ith section of the effective power curve of the electrolytic cell; pFCIs the effective power obtained after the segmentation processing of the effective power curve of the hydrogen fuel cell, PFCiEffective power of the i-th section of the effective power curve of the hydrogen fuel cell, deltaFCiOperating state of the i-th section of the active power curve of the hydrogen fuel cell, ciIs the slope of the i-th segment of the effective power curve of a hydrogen fuel cell, diThe intercept of the ith segment of the effective power curve of the hydrogen fuel cell; n is the number of the subsection of the curve;
further, the amount of hydrogen in operation is determined according to the following formula:
Figure GDA0002993425230000053
Figure GDA0002993425230000054
wherein:
Figure GDA0002993425230000055
is the amount of hydrogen produced by the electrolytic cell during electrolysis;
Figure GDA0002993425230000056
a mass that is hydrogen gas consumed by the hydrogen fuel cell during operation;
Figure GDA0002993425230000057
is the lower heating value of hydrogen; Δ t is the unit operating time of the electrolyzer and the hydrogen fuel cell.
Further, the working power of the electrolytic cell and the hydrogen fuel cell is obtained by segmenting the active power curve of the electrolytic cell and the active power curve of the hydrogen fuel cell:
Figure GDA0002993425230000061
wherein,
δELthe working state is obtained after the effective power curve of the electrolytic cell is processed in a segmented manner;
δFCthe working state obtained after the effective power curve of the hydrogen fuel cell is processed in a segmented mode.
Further, obtaining rated current density ranges of the electrolytic cell and the hydrogen fuel cell;
calculating the power range of the electrolytic cell according to the rated current density range of the electrolytic cell and the potential of the electrolytic cell, wherein the power value of the electrolytic cell corresponding to the lower limit of the rated current range of the electrolytic cell is the minimum output of the electrolytic cell, and the power value of the electrolytic cell corresponding to the upper limit of the rated current range of the electrolytic cell is the maximum output of the electrolytic cell;
calculating the power range of the hydrogen fuel cell according to the rated current density range of the hydrogen fuel cell and the potential of the hydrogen fuel cell, wherein the power value of the hydrogen fuel cell corresponding to the lower limit of the rated current range of the hydrogen fuel cell is the minimum output of the hydrogen fuel cell, and the power value of the hydrogen fuel cell corresponding to the upper limit of the rated current range of the hydrogen fuel cell is the maximum output of the hydrogen fuel cell;
on the active power curve of a hydrogen fuel cell or an electrolytic cell, segmenting by taking N as 2, and calculating the mean square error Q of a segmentation model function:
Figure GDA0002993425230000062
wherein F (P)i) Representing the function value of the original curve;
and comparing the calculated mean square deviation value with a preset mean square deviation value, if Q is greater than or equal to the preset mean square deviation value, segmenting by using N +1, calculating the mean square deviation value Q of the segmented model function, judging and comparing until Q is less than the preset mean square deviation value, and taking the number of segments which enable Q to be less than the preset mean square deviation value at present as the final segmentation number.
Further, the pressure state of the hydrogen storage device is determined according to the following formula:
Figure GDA0002993425230000071
wherein,
Figure GDA0002993425230000072
as the pressure variation amount of the hydrogen storage means,
Figure GDA0002993425230000073
is the temperature of the hydrogen storage means,
Figure GDA0002993425230000074
z is the compression factor, which is the volume of the hydrogen storage device.
The invention has the beneficial effects that: according to the invention, on one hand, the effective power injected into the power distribution network and in the process of converting hydrogen by the power distribution network can be accurately analyzed, so that the scheduling operation of the power distribution network is facilitated, on the other hand, the generation amount, the consumption amount, the storage and transportation of hydrogen in the process of converting hydrogen energy can be effectively and accurately analyzed, and the accurate reference for reducing the operation cost of the whole power distribution network is facilitated.
Drawings
The invention is further described below with reference to the following figures and examples:
FIG. 1 is a flow chart of the present invention.
FIG. 2 is a graph of the efficiency versus power of the cell of the present invention.
Fig. 3 is a graph of efficiency versus power for a hydrogen fuel cell of the present invention.
FIG. 4 is a graph of the efficiency versus the effective power of the sectioned electrolytic cell of the present invention.
Fig. 5 is a graph of efficiency versus effective power for a segmented hydrogen fuel cell of the present invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings:
the invention provides a hydrogen load operation analysis method in an active power distribution network, which comprises the following steps:
s1, obtaining operation parameters of an electrolytic cell for hydrogen production and a hydrogen fuel cell;
s2, calculating the power of the electrolytic cell and the power of the hydrogen fuel cell according to the obtained operation parameters;
s3, fitting the effective power and the electrolytic efficiency of the electrolytic cell to form an electrolytic cell power-efficiency curve, and fitting the effective power of the hydrogen fuel cell and the working efficiency of the hydrogen fuel cell to form a hydrogen fuel cell power-efficiency curve; the power-efficiency curve of the electrolytic cell and the power-efficiency curve of the hydrogen fuel cell are respectively fitted by the existing method, as shown in fig. 2 and fig. 3 in the present embodiment, where the expression in fig. 2 is:
ηez=0.0073Pez 3-0.1077Pez 2+0.5056Pez-0.2230;
the expression in fig. 3 is:
ηfc=0.0012Pfc 3-0.0224Pfc 2+0.1111Pfc+0.2710
and S4, carrying out linearization treatment on the effective power-efficiency curve of the hydrogen fuel cell and the effective power-efficiency curve of the electrolytic cell to obtain the effective powers of the electrolytic cell and the hydrogen fuel cell and the quantity of hydrogen in operation.
In this embodiment, in step S2, the power of the electrolytic cell and the hydrogen fuel cell is calculated according to the following method:
power of the electrolytic cell:
calculating the internal potential V of the cellez:Vez=Vez,0+Vetd+Vez,ohm+Vion
Wherein:
Figure GDA0002993425230000081
Figure GDA0002993425230000082
Figure GDA0002993425230000083
wherein, Vez,0Is the reversible potential of the cell, VetdIs the activation overpotential of the electrolytic cell, Vez,ohmIs the ohmic overpotential, V, of the cellionIs the ionic overpotential, T, of the electrolytic cellezAs the temperature of the cell, iezIs the current density of the cell, iaoIs the anodic current density of the cell, icoIs the cathode current density, delta, of the electrolytic cellBExchange of the membrane thickness, σ, for electrolytic cellsBIs the exchange membrane conductivity of the electrolytic cell; lambda is the constant of the exchange membrane of the electrolytic cell, R is the ideal gasBulk constant, F is Faraday constant;
the power and efficiency of the cell was calculated according to the following formula:
Pez=nezVezIez
Pez,0=nezVez,0Iez
Figure GDA0002993425230000091
wherein, PezFor input power of electrolytic cells, Pez,0Is the effective power of the electrolytic cell etaezFor the efficiency of the cell, IezIs the current of a single electrolytic cell, nezThe number of total electrolytic cells in the electrolytic system; wherein, Iez=Aeziez,AezIs the reaction zone area of the electrolytic cell;
power calculation of hydrogen fuel cell:
calculating the internal potential V of the hydrogen fuel cellfc
Vfc=Vfc,0-Vact-Vfc,ohm-Vconc
Vfc,ohm=0.299ifc
Vconc=0.028ifc 9.001
Power of hydrogen fuel cell: pfc=nfcVfcIfc
Pfc,0=nfcVfc,0Ifc
Figure GDA0002993425230000101
Wherein, VfcIs the total potential, V, of the hydrogen fuel cellfc,0Is the open circuit potential of a single hydrogen fuel cell, which can be measured directly on the hydrogen fuel cell, VactIs the dynamic loss potential, V, of a hydrogen fuel cellfc,ohmOhmic loss cell, V, for hydrogen fuel cellconcFor hydrogen fuel cell reactionsPotential, ifcIs the current density of a hydrogen fuel cell, IfcIs the current of a hydrogen fuel cell, PfcIs the effective power of the hydrogen fuel cell, Pfc,0Is the input power, η, of the hydrogen fuel cellfcFor the working efficiency of the hydrogen fuel cell, each link in the hydrogen energy operation process can be accurately analyzed and calculated by the method, so that the operation analysis and the final cost analysis of the power distribution network are facilitated.
In this embodiment, in step S4, the effective power-efficiency curve of the hydrogen fuel cell and the effective power-efficiency curve of the electrolytic cell are linearized by the following method:
establishing a segmentation model:
Figure GDA0002993425230000102
Figure GDA0002993425230000103
βi=f(ti)-αipi
wherein alpha isiFor the slope, β, of the segment line of the i-th segment after the segmentation of the curveiFor the equivalent intercept, p, of the segment line of the i-th segment after the curve segmentationiFor the segmentation point of the i-th segment after the curve segmentation, p1Minimum output, p, of hydrogen fuel cell or electrolyserN+1The maximum output, P, of the hydrogen fuel cell or the electrolysis celli(t) is the output, δ, of the hydrogen fuel cell or electrolyser in the i-th stage of the t periodi(t) is the state of the ith stage in the period t, and delta (t) is the running state in the period t;
and carrying out piecewise linearization processing on the effective power of the electrolytic cell and the hydrogen fuel cell according to a piecewise model to obtain:
Figure GDA0002993425230000111
Figure GDA0002993425230000112
wherein, PELIs the effective power, P, obtained after the sectional treatment of the effective power curve of the electrolytic cellELiEffective power, delta, for the i-th section of the cell effective power curveELiIs the operating state of the i-th section on the effective power curve of the electrolytic cell, aiIs the slope of the i-th section of the effective power curve of the electrolytic cell, biIs the intercept of the ith section of the effective power curve of the electrolytic cell; pFCIs the effective power obtained after the segmentation processing of the effective power curve of the hydrogen fuel cell, PFCiEffective power of the i-th section of the effective power curve of the hydrogen fuel cell, deltaFCiOperating state of the i-th section of the active power curve of the hydrogen fuel cell, ciIs the slope of the i-th segment of the effective power curve of a hydrogen fuel cell, diThe intercept of the ith segment of the effective power curve of the hydrogen fuel cell; n is the number of segments of the curve, the segmented curves of the electrolyzer and the hydrogen fuel cell are shown in fig. 4 and 5, and the slope and intercept of each curve can be obtained after analysis by the existing software:
Figure GDA0002993425230000113
the amount of hydrogen in operation is determined according to the following equation:
Figure GDA0002993425230000114
Figure GDA0002993425230000121
wherein:
Figure GDA0002993425230000122
is the amount of hydrogen produced by the electrolytic cell during electrolysis;
Figure GDA0002993425230000123
a mass that is hydrogen gas consumed by the hydrogen fuel cell during operation;
Figure GDA0002993425230000124
is the lower heating value of hydrogen; Δ t is the unit operating time of the electrolyzer and the hydrogen fuel cell.
The active power curve of the electrolytic cell and the active power curve of the hydrogen fuel cell are segmented to obtain the working power of the electrolytic cell and the hydrogen fuel cell:
Figure GDA0002993425230000125
wherein,
δELthe working state is obtained after the effective power curve of the electrolytic cell is processed in a segmented manner;
δFCthe working state obtained after the effective power curve of the hydrogen fuel cell is processed in a segmented mode. By the method, the effective power of the electrolytic cell and the hydrogen fuel cell can be accurately obtained, and the analysis of the whole power distribution network, the control of the operation cost of the power distribution network and the analysis of the hydrogen energy conversion process are facilitated.
In the embodiment, the rated current density ranges of the electrolytic cell and the hydrogen fuel cell are obtained;
calculating the power range of the electrolytic cell according to the rated current density range of the electrolytic cell and the potential of the electrolytic cell, wherein the power value of the electrolytic cell corresponding to the lower limit of the rated current range of the electrolytic cell is the minimum output of the electrolytic cell, and the power value of the electrolytic cell corresponding to the upper limit of the rated current range of the electrolytic cell is the maximum output of the electrolytic cell;
calculating the power range of the hydrogen fuel cell according to the rated current density range of the hydrogen fuel cell and the potential of the hydrogen fuel cell, wherein the power value of the hydrogen fuel cell corresponding to the lower limit of the rated current range of the hydrogen fuel cell is the minimum output of the hydrogen fuel cell, and the power value of the hydrogen fuel cell corresponding to the upper limit of the rated current range of the hydrogen fuel cell is the maximum output of the hydrogen fuel cell;
on the active power curve of a hydrogen fuel cell or an electrolytic cell, segmenting by taking N as 2, and calculating the mean square error Q of a segmentation model function:
Figure GDA0002993425230000131
wherein F (P)i) Representing the function value of the original curve;
and comparing the calculated mean square deviation value with a preset mean square deviation value, if Q is greater than or equal to the preset mean square deviation value, segmenting by using N +1, calculating the mean square deviation value Q of the segmented model function, judging and comparing until Q is less than the preset mean square deviation value, and taking the number of segments which enable Q to be less than the preset mean square deviation value at present as the final segmentation number.
Further, the pressure state of the hydrogen storage device is determined according to the following formula:
Figure GDA0002993425230000132
wherein,
Figure GDA0002993425230000133
as the pressure variation amount of the hydrogen storage means,
Figure GDA0002993425230000134
is the temperature of the hydrogen storage means,
Figure GDA0002993425230000135
z is the compression factor, which is the volume of the hydrogen storage device.
By the method, the hydrogen quantity in the electrolysis and hydrogen fuel cell reaction process can be accurately obtained, the operation scheduling of the whole power distribution network is facilitated, the storage and transportation of the hydrogen can be accurately guided through the relation between the pressure state of the hydrogen storage device and the hydrogen quantity, and the control of the operation cost is facilitated.
Finally, the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting, although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all of them should be covered in the claims of the present invention.

Claims (3)

1. A hydrogen load operation analysis method in an active power distribution network is characterized by comprising the following steps: the method comprises the following steps:
s1, obtaining operation parameters of an electrolytic cell for hydrogen production and a hydrogen fuel cell;
s2, calculating the power of the electrolytic cell and the power of the hydrogen fuel cell according to the obtained operation parameters;
s3, fitting the effective power and the electrolytic efficiency of the electrolytic cell to form an electrolytic cell power-efficiency curve, and fitting the effective power of the hydrogen fuel cell and the working efficiency of the hydrogen fuel cell to form a hydrogen fuel cell power-efficiency curve;
s4, carrying out linearization treatment on the effective power-efficiency curve of the hydrogen fuel cell and the effective power-efficiency curve of the electrolytic cell to obtain the effective power of the electrolytic cell and the hydrogen fuel cell and the amount of hydrogen in operation;
in step S2, the power of the electrolytic cell and the hydrogen fuel cell is calculated according to the following method:
power of the electrolytic cell:
calculating the internal potential V of the cellez:Vez=Vez,0+Vetd+Vez,ohm+Vion
Wherein:
Figure FDA0002993425220000011
Figure FDA0002993425220000012
Figure FDA0002993425220000013
wherein, Vez,0Is the reversible potential of the cell, VetdIs the activation overpotential of the electrolytic cell, Vez,ohmIs the ohmic overpotential, V, of the cellionIs the ionic overpotential, T, of the electrolytic cellezAs the temperature of the cell, iezIs the current density of the cell, iaoIs the anodic current density of the cell, icoIs the cathode current density, delta, of the electrolytic cellBExchange of the membrane thickness, σ, for electrolytic cellsBIs the exchange membrane conductivity of the electrolytic cell; lambda is the exchange membrane constant of the electrolytic cell, R is the ideal gas constant, and F is the Faraday constant;
the power and efficiency of the cell was calculated according to the following formula:
Pez=nezVezIez
Pez,0=nezVez,0Iez
Figure FDA0002993425220000021
wherein, PezFor input power of electrolytic cells, Pez,0Is the effective power of the electrolytic cell etaezFor the efficiency of the cell, IezIs the current of a single electrolytic cell, nezThe number of total electrolytic cells in the electrolytic system;
power calculation of hydrogen fuel cell:
calculating the internal potential V of the hydrogen fuel cellfc
Vfc=Vfc,0-Vact-Vfc,ohm-Vconc
Vfc,ohm=0.299ifc
Vconc=0.028ifc 9.001
Power of hydrogen fuel cell: pfc=nfcVfcIfc
Pfc,0=nfcVfc,0Ifc
Figure FDA0002993425220000031
Wherein, VfcIs the total potential, V, of the hydrogen fuel cellfc,0Is the open circuit potential, V, of a single hydrogen fuel cellactIs the dynamic loss potential, V, of a hydrogen fuel cellfc,ohmOhmic loss cell, V, for hydrogen fuel cellconcFor overpotentials, i, caused by hydrogen fuel cell reactionsfcIs the current density of a hydrogen fuel cell, IfcIs the current of a hydrogen fuel cell, PfcIs the effective power of the hydrogen fuel cell, Pfc,0Is the input power, η, of the hydrogen fuel cellfcThe operating efficiency of the hydrogen fuel cell;
in step S4, the effective power-efficiency curve of the hydrogen fuel cell and the effective power-efficiency curve of the electrolytic cell are linearized by the following method:
establishing a segmentation model:
Figure FDA0002993425220000032
Figure FDA0002993425220000033
βi=f(ti)-αipi
wherein alpha isiFor the slope, β, of the segment line of the i-th segment after the segmentation of the curveiFor the equivalent intercept, p, of the segment line of the i-th segment after the curve segmentationiFor the segmentation point of the i-th segment after the curve segmentation, p1Minimum output, p, of hydrogen fuel cell or electrolyserN+1The maximum output, P, of the hydrogen fuel cell or the electrolysis celli(t) is the output, δ, of the hydrogen fuel cell or electrolyser in the i-th stage of the t periodi(t) is the state of the ith stage in the period t, and delta (t) is the running state in the period t;
and carrying out piecewise linearization processing on the effective power of the electrolytic cell and the hydrogen fuel cell according to a piecewise model to obtain:
Figure FDA0002993425220000041
Figure FDA0002993425220000042
wherein, PELIs the effective power, P, obtained after the sectional treatment of the effective power curve of the electrolytic cellELiEffective power, delta, for the i-th section of the cell effective power curveELiIs the operating state of the i-th section of the effective power curve of the electrolytic cell, alphaiIs the slope of the i-th section of the effective power curve of the electrolytic cell, biIs the intercept of the ith section of the effective power curve of the electrolytic cell; pFCIs the effective power obtained after the segmentation processing of the effective power curve of the hydrogen fuel cell, PFCiEffective power of the i-th section of the effective power curve of the hydrogen fuel cell, deltaFCiOperating state of the i-th section of the active power curve of the hydrogen fuel cell, ciIs the slope of the i-th segment of the effective power curve of a hydrogen fuel cell, diThe intercept of the ith segment of the effective power curve of the hydrogen fuel cell; n is the number of the subsection of the curve;
the amount of hydrogen in operation is determined according to the following equation:
Figure FDA0002993425220000043
Figure FDA0002993425220000044
wherein:
Figure FDA0002993425220000045
is the amount of hydrogen produced by the electrolytic cell during electrolysis;
Figure FDA0002993425220000046
a mass that is hydrogen gas consumed by the hydrogen fuel cell during operation;
Figure FDA0002993425220000047
is the lower heating value of hydrogen; Δ t is the unit operating time of the electrolyzer and the hydrogen fuel cell;
the working power of the electrolytic cell and the hydrogen fuel cell is obtained by segmenting the active power curve of the electrolytic cell and the active power curve of the hydrogen fuel cell:
Figure FDA0002993425220000051
Figure FDA0002993425220000052
wherein,
δELthe working state is obtained after the effective power curve of the electrolytic cell is processed in a segmented manner;
δFCthe working state obtained after the effective power curve of the hydrogen fuel cell is processed in a segmented mode.
2. The method for analyzing the hydrogen load operation in the active power distribution network according to claim 1, wherein:
obtaining rated current density ranges of an electrolytic cell and a hydrogen fuel cell;
calculating the power range of the electrolytic cell according to the rated current density range of the electrolytic cell and the potential of the electrolytic cell, wherein the power value of the electrolytic cell corresponding to the lower limit of the rated current range of the electrolytic cell is the minimum output of the electrolytic cell, and the power value of the electrolytic cell corresponding to the upper limit of the rated current range of the electrolytic cell is the maximum output of the electrolytic cell;
calculating the power range of the hydrogen fuel cell according to the rated current density range of the hydrogen fuel cell and the potential of the hydrogen fuel cell, wherein the power value of the hydrogen fuel cell corresponding to the lower limit of the rated current range of the hydrogen fuel cell is the minimum output of the hydrogen fuel cell, and the power value of the hydrogen fuel cell corresponding to the upper limit of the rated current range of the hydrogen fuel cell is the maximum output of the hydrogen fuel cell;
on the active power curve of a hydrogen fuel cell or an electrolytic cell, segmenting by taking N as 2, and calculating the mean square error Q of a segmentation model function:
Figure FDA0002993425220000053
wherein F (P)i) Representing the function value of the original curve;
comparing the calculated mean square deviation value with a preset mean square deviation value, if Q is larger than or equal to the preset mean square deviation value, segmenting by N +1, calculating the mean square deviation value Q of a segmentation model function, judging and comparing until Q is smaller than the preset mean square deviation value, and taking the number of segments which enable Q to be smaller than the preset mean square deviation value as the final number of segments;
3. the method for analyzing the hydrogen load operation in the active power distribution network according to claim 1, wherein: the pressure state of the hydrogen storage device is determined according to the following formula:
Figure FDA0002993425220000061
wherein,
Figure FDA0002993425220000062
is the pressure of the hydrogen storage device,
Figure FDA0002993425220000063
is the temperature of the hydrogen storage means,
Figure FDA0002993425220000064
z is the compression factor, which is the volume of the hydrogen storage device.
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