CN113609792A - Multidisciplinary modeling method based on power flow - Google Patents
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Abstract
The invention discloses a multidisciplinary modeling method based on power flow. The method comprises the following steps of taking a hydrogen fuel cell automobile power system as a specific research object, starting from a power system energy supply device, and establishing a hydrogen fuel cell electrochemical mechanism model; the internal electrochemical reaction kinetics and the electrochemical thermodynamic mechanism of the fuel cell are researched by constructing a voltage output model, the internal association mechanism of electrode back pressure and effective partial pressure of gas is analyzed by constructing a back pressure regulation model, the model which directly takes gas flow or effective partial pressure as output in the prior art is replaced, and the dynamic accurate regulation of the output performance of the fuel cell is realized; aiming at the energy consumption of the load of the hydrogen fuel cell automobile power system, resistance models of all parts of the load of the power system are established and fused into a dynamic load model of the power system. The invention takes power as a link, and realizes the cooperative analysis of the driving force and resistance of the hydrogen fuel cell automobile and the energy supply and consumption of a power system.
Description
Technical Field
The invention belongs to the field of multidisciplinary modeling of complex products, and particularly relates to a multidisciplinary modeling method based on power flow.
Background
In 2020, the quantity of motor vehicles in China is up to 3.72 hundred million, which is increased by 3.56% in 2019, wherein the new energy automobile part is increased by 29.18% in 2019, and the quantity of the motor vehicles is increased to 492 thousands. At present, related matching technologies of pure electric vehicles are mature, but the electric energy of the pure electric vehicles completely depends on the power grid supply, so the environmental protection degree of the pure electric vehicles depends on the environmental protection property of a power generation mode, but at present, China still mainly uses traditional thermal power generation, has large pollution and is limited by a lithium battery technology, and the development of the pure electric vehicles faces a bottleneck; the hydrogen fuel cell has high energy density and larger lifting space, and the hydrogen fuel cell automobile has more environmental-friendly technical advantages and wider development prospect along with the development of vehicle-mounted hydrogen supply, liquid hydrogen storage and transportation and other supporting technologies.
The insufficient performance of the hydrogen fuel cell power system seriously hinders the progress of China in manufacturing hydrogen fuel cell automobiles with practical commercial values, and the hydrogen fuel cell automobile power system has a complex structure, is wide in subject related field and has many technical difficulties, and needs to be researched by means of a digital prototype technology to shorten the research and development period and reduce the research and development cost. Through research on a modeling method of a hydrogen fuel cell automobile power system, a power system model capable of accurately and efficiently solving various characteristics of the power system can be established.
Disclosure of Invention
In order to solve the problems in the background art, the invention provides a power flow-based modeling method for a hydrogen fuel cell automobile power system. The energy supply of the power system needs to be adjusted according to energy consumption, starting from two aspects of energy supply and energy consumption, and establishing a hydrogen fuel cell model and a power system load model at the same time, so that the synergistic solution of the energy supply and the energy consumption of the power system is realized, and the energy output characteristic of the power system is truly and comprehensively reflected.
Establishing a voltage output model by researching the electrochemical reaction mechanism of the hydrogen fuel cell; a backpressure regulation model is established by researching a backpressure regulation mechanism of the fuel cell, and the two models are fused according to the internal logic of the electrochemistry of the fuel cell to obtain a hydrogen fuel cell electrochemistry mechanism model facing to the voltage output characteristic. And aiming at the energy consumption of the load part of the power system, establishing a dynamic load model of the power system according to the automobile dynamics and the automobile kinematics.
A hydrogen fuel cell automobile power system modeling method based on power flow adopts the following technical scheme:
the hydrogen fuel cell automobile power system model comprises a hydrogen fuel cell electrochemical mechanism model and a power system load model; the electrochemical mechanism model of the hydrogen fuel cell mainly comprises an electrochemical electromotive force model, an activation polarization overvoltage model, a concentration polarization overvoltage model, an ohm polarization overvoltage model and a back pressure regulation model; electrochemical mechanism model V of hydrogen fuel celloutThe calculation formula of (a) is as follows:
Vout=ENernst-Vact-Vconc-Vohm
wherein ,ENernstAs an electrochemical electromotive force model, VactTo activate the polarization overvoltage model, VconcIs a concentration polarization overvoltage model, VohmAn ohmic polarization overvoltage model;
the power system load model mainly comprises a road resistance model, an air resistance model, an acceleration resistance model and a transmission efficiency model; power system load model FtThe calculation formula of (a) is as follows:
Ft=Fr+Fw+Fa+Fη
wherein ,FrAs a model of road resistance, FwAs an air resistance model, FaFor the acceleration resistance model composition, FηIs a transmission efficiency module.
The electrochemical electromotive force model ENernstThe calculation formula of (a) is specifically as follows:
wherein Δ G is the amount of change in gibbs free energy; f is a Faraday constant; Δ S is the variation of the standard molar entropy; r is a universal gas constant;is an effective partial pressure of hydrogen;is the effective partial pressure of oxygen; n is the number of mobile electrons; t isstIs the fuel cell operating temperature; t isrefIs the reference temperature.
The activated polarization overvoltage model VactThe calculation formula of (a) is specifically as follows:
wherein ,TstIs the fuel cell operating temperature; t isrefIs a reference temperature; pcBack pressure for the cathode of the cell;is the saturated water vapor pressure; i is the external circuit current density; x is the number of1,x2…x14All are electrochemical correlation coefficients.
Effective partial pressure of hydrogenAnd effective partial pressure of oxygenThe method comprises the following steps of constructing a backpressure regulation model:
wherein ,PaBack pressure of the battery anode; m is1,m2…m5All are electrochemical correlation coefficients.
The concentration polarization overvoltage model VconcThe calculation formula of (a) is specifically as follows:
wherein R is a universal gas constant; t isstIs the fuel cell operating temperature; f is a Faraday constant; i is the current magnitude in the circuit; i islimIs the limiting current of the fuel cell.
The ohmic polarization overvoltage model VohmThe calculation formula of (a) is specifically as follows:
wherein I is the current magnitude in the circuit; s is the effective activation area of the proton exchange membrane; rcIs the equivalent impedance of the fuel cell external circuit; l is the proton exchange membrane thickness; gamma is the resistivity correlation coefficient of the proton exchange membrane;
wherein v is the water content of the proton exchange membrane, and the calculation formula is as follows:
Pcfor cell cathode back pressure, lambdacK is the water content correlation coefficient of the proton exchange membrane for the stoichiometric ratio of the cathode reactant of the battery.
The output parameter of the electrochemical mechanism model of the hydrogen fuel cell is the output power P of the hydrogen fuel celleout:
Peout=Vout×I
The concrete construction processes of a road resistance model, an air resistance model, an acceleration resistance model and a transmission efficiency model in the power system load model are as follows:
1) road resistance model FrThe construction of (1):
1.1) carrying out moment calculation by taking the middle points of the front and rear wheels of the automobile and the road contact surface as centers, and calculating the normal reaction force of each wheel in the running process of the automobile, wherein the specific formula is as follows:
wherein G is the total gravity of the automobile; b1Distance from the front wheel to the center of gravity of the vehicle; b2The distance from the rear wheel to the center of gravity of the vehicle; l is the distance between the front and rear wheels; alpha is the slope angle of the road; h isgThe distance between the gravity center of the vehicle and the wheel axle; u is the vehicle speed; fzw1 and Fzw2Respectively, an aerodynamic lift force acting on the vehicle body and located above the grounding points of the left front and left rear wheels, Fzw3 and Fzw4Respectively acting on the vehicle body and positioned above the grounding points of the right front wheel and the right rear wheel; t isf1 and Tf2Rolling resistance couple moments, T, on the left front and left rear wheels, respectivelyf3 and Tf4Respectively rolling resistance couple moments on the right front wheel and the right rear wheel; t isjw1 and Tjw2The inertia resistance couple moments, T, on the left front and left rear wheels respectivelyjw3 and Tjw4The moment of inertia resistance couple on the right front wheel and the right rear wheel respectively; fz1 and Fz2Normal reaction forces of a left front wheel and a left rear wheel of the automobile are respectively; fz3、Fz4Normal reaction forces of the right front wheel and the right rear wheel are respectively; m is the total mass of the automobile;
wherein ,rsIs the wheel radius; clf and CrfThe air lift coefficients of the front wheel and the rear wheel are respectively; i iswThe moment of inertia of each wheel; a is the frontal area; rhoaIs the air density; f is a rolling resistance coefficient of the rolling element, f0,f1,f4is an inherent coefficient that affects the rolling resistance of a tire;
1.2) F obtained according to step 1.1)z1,Fz2,Fz3,Fz4Calculating the sum F of normal reaction forces borne by each tire of the automobilezThe concrete formula is as follows:
Fz=Fz1+Fz2+Fz3+Fz4
=Gcosα-ClfAρau2-CrfAρau2
1.3) calculating by the following formula to obtain a road resistance model Fr:
2) Air resistance model FwThe construction of (1):
wherein ,FwIs the air resistance; cDIs the air resistance coefficient.
3) Acceleration resistance model FaThe construction of (1):
wherein ,FaIs acceleration resistance; i iswThe moment of inertia of each wheel; r issIs the wheel radius;
4) transmission efficiency model FηThe construction of (1):
wherein T is motor torque; i.e. i0The transmission ratio of the main speed reducer is set; etaTThe transmission efficiency of the power system is improved.
5) Obtaining a load model F of the power system according to a calculation formula of each load resistance in the power systemt:
The power system load model FtThe output parameters are acceleration a, speed u and power consumption power of the power systemWherein the acceleration a and the speed u are output parameters of the acceleration resistance model
1) The calculation formula of the acceleration a is as follows:
wherein a is the acceleration generated by the power system; etaTThe transmission efficiency of the power system is improved; peIs the driving power of the power system, i.e. is equal to the output power, P, of the hydrogen fuel celle=Peout=Vout×I;
2) The velocity u is calculated as follows:
wherein ,t0Is the initial time; u. of0At an initial speed, i.e. t0The vehicle running speed at the moment.
the invention has the beneficial effects that:
1. compared with the traditional model in which the reaction gas flow or the effective partial pressure is used as input, the electrochemical mechanism model part of the hydrogen fuel cell uses the back pressure of the anode and the cathode as input, so that the model is more in line with the actual situation in the production and application of the fuel cell and obtains a more accurate solving result.
2. Through the established electrochemical mechanism model of the hydrogen fuel cell and the dynamic load model of the power system, the collaborative analysis of the driving force and resistance of the hydrogen fuel cell automobile and the energy supply and consumption of the power system by taking the power as a link is realized.
Drawings
FIG. 1 is a schematic diagram of a model of the electrochemical mechanism of a hydrogen fuel cell;
FIG. 2 is a model diagram of the electrochemical Enernst electromotive force portion.
FIG. 3 is a schematic diagram of a portion of the activated polarization overvoltage.
FIG. 4 is a schematic diagram of a concentration polarization overvoltage portion.
FIG. 5 is a model diagram of the ohmic polarization overvoltage portion.
FIG. 6 is a graph of a voltage output model.
Fig. 7 is a model of hydrogen fuel cell back pressure regulation.
FIG. 8 is a model of dynamic loading of the powertrain.
FIG. 9 is a model diagram of a road resistance segment.
FIG. 10 is a schematic view of a model of an air resistance section.
FIG. 11 is a model diagram of an acceleration resistance portion.
Detailed Description
The invention is further illustrated by the following figures and examples.
The invention comprises a hydrogen fuel cell electrochemical mechanism model and a dynamic system dynamic load model. The electrochemical mechanism model of the hydrogen fuel cell is used for modeling a power system energy supply device, and the dynamic load model of the power system is used for modeling the energy consumption of the load of the power system. By the aid of the hydrogen fuel cell electrochemical mechanism model and the power system dynamic load model, the driving force and resistance of the hydrogen fuel cell automobile and the energy supply and consumption of the power system are cooperatively analyzed by taking power as a link.
As shown in fig. 1, the electrochemical mechanism model of the hydrogen fuel cell includes two parts, a voltage output model and a back pressure regulation model. The voltage output model takes the operation temperature, the current, the effective partial pressure of hydrogen, the effective partial pressure of oxygen and the cathode back pressure of the fuel cell as input parameters and takes the output voltage of the fuel cell as an output parameter. Compared with the existing hydrogen fuel cell related model, the hydrogen fuel cell voltage output model disclosed by the invention has the advantages that the factors such as the effective partial pressure of the reaction gas, the cell operation temperature, the chemical metering ratio of the reaction gas, the humidity in the cell and the like are calculated in detail, the influence factors of the fuel cell are considered more comprehensively, and the solving result of the output voltage is more accurate.
As shown in FIG. 6, the voltage output model includes an electrochemical electromotive force model Enernst, an activated polarization overvoltage model VactConcentration polarization overvoltage model VconcAnd ohm polarization overvoltage model Vohm:
1) The electrochemical electromotive force model Enernst is shown in fig. 2:
2) Activated polarization overvoltage model VactAs shown in fig. 3:
in FIG. 3, Func1 isx2(Tst-Tref) (ii) a Func2 has the content ofFunc3 has the content ofFunc4 has the content ofFunc5 has the content ofFunc6 has the content ofFunc7 has the content ofFunc8 has the content of
wherein ,x1,x2…x14Has an actual value of x1=0.279;x2=0.00085;x3=0.00004308;x4= 1.01325;x5=0.5;x6=8.63811;x7=0.5736;x8=0.00058;x9=0.00018;x10= 0.166;x11=0.1173;x12=0.01618;x13=0.00001618;x14=10。
3) Concentration polarization overvoltage model VconcAs shown in fig. 4:
4) Ohm polarization overvoltage model VohmAs shown in fig. 5:
wherein v is the water content of the proton exchange membrane, and the calculation formula is as follows:
wherein, the actual value of k is 6.3348.
In FIG. 5, Func1 isFunc2 has the content ofFunc3 has the content ofFunc4 has the content ofFunc5 has the content ofFunc6 has the content ofFunc7 has the content ofFunc8 has the content ofFunc9 has the content ofFunc10 has the content of
The backpressure regulation model takes the backpressure of the anode and the cathode, the current and the operation temperature of the fuel cell as input, takes the effective partial pressure of hydrogen and oxygen as output, analyzes the internal association mechanism of the electrode backpressure and the effective partial pressure of gas, replaces the prior model which directly takes the gas flow or the effective partial pressure as output, better accords with the actual application scene of the hydrogen fuel cell, and realizes more accurate regulation of the output performance of the fuel cell. Fig. 7 shows a back pressure regulation model:
in FIG. 7, Func1 isFunc2 has the content ofFunc3 has the content ofFunc4 has the content ofFunc5 has the content of
wherein ,m1,m2…m5The values of (A) are as follows:
m1=3.7619;m2=0.291;m3=0.832;m4=1.635;m5=1.334。
as shown in FIG. 8, the dynamic load model of the power system includes three parts, namely a road resistance model, an air resistance model and an acceleration resistance model. The driving power, the initial speed, the road parameters and the like of the power system are used as input, and the acceleration, the current speed and the resistance power are used as output. And (3) independently and completely modeling each part of resistance of the hydrogen fuel cell automobile power system load through the relation between the driving power of the power system and the power consumed by each part of resistance.
The road resistance model is shown in fig. 9:
wherein ,f0,f1,f4The actual values of (a) are as follows: f. of0=0.0076;f1=0.000056;f4=0
Air resistance model FwAs shown in fig. 10:
acceleration resistance model FaAs shown in fig. 11:
acceleration resistorThe output parameter of the force model is Fa、a、u。
The invention provides a multi-model integrated modeling method of a power system, which integrates a power system model according to the logic relation between a hydrogen fuel cell electrochemical mechanism model and a power system dynamic load model and the flow direction of mutual feedback information, and describes a hydrogen fuel cell automobile simulation calculation process. When the simulation of the hydrogen fuel cell automobile power system is carried out, the output power can be obtained by multiplying the output voltage of the hydrogen fuel cell electrochemical mechanism model and the circuit current. In a power system independently powered by a hydrogen fuel cell, the output power of the hydrogen fuel cell is used as an input parameter of a dynamic load model of the power system, and simulation analysis of the power system can be performed. The powertrain dynamic load model may calculate the current power consumption and power demand of the powertrain. The electrochemical mechanism model of the hydrogen fuel cell needs to adjust the output power based on the above, transmit the output power of the hydrogen fuel cell to a load model of a power system, and calculate the current acceleration and speed of the automobile by combining the driving power and the resistance power, thereby forming iterative operation.
Claims (9)
1. A hydrogen fuel cell automobile power system modeling method based on power flow is characterized in that a hydrogen fuel cell automobile power system model comprises a hydrogen fuel cell electrochemical mechanism model and a power system load model;
the electrochemical mechanism model of the hydrogen fuel cell mainly comprises an electrochemical electromotive force model, an activation polarization overvoltage model, a concentration polarization overvoltage model, an ohm polarization overvoltage model and a back pressure regulation model; electrochemical mechanism model V of hydrogen fuel celloutThe calculation formula of (a) is as follows:
Vout=ENernst-Vact-Vconc-Vohm
wherein ,ENernstAs an electrochemical electromotive force model, VactTo activate the polarization overvoltage model, VconcIs a concentration polarization overvoltage model, VohmAn ohmic polarization overvoltage model;
power systemThe load model mainly comprises a road resistance model, an air resistance model, an acceleration resistance model and a transmission efficiency model; power system load model FtThe calculation formula of (a) is as follows:
Ft=Fr+Fw+Fa+Fη
wherein ,FrAs a model of road resistance, FwAs an air resistance model, FaFor the acceleration resistance model composition, FηIs a transmission efficiency module.
2. The modeling method for a power-flow-based hydrogen fuel cell automotive power system of claim 1, wherein the electrochemical electromotive force model ENernstThe calculation formula of (a) is specifically as follows:
wherein Δ G is the amount of change in gibbs free energy; f is a Faraday constant; Δ S is the variation of the standard molar entropy; r is a universal gas constant;is an effective partial pressure of hydrogen;is the effective partial pressure of oxygen; n is the number of mobile electrons; t isstIs the fuel cell operating temperature; t isrefIs the reference temperature.
3. The power-flow-based hydrogen fuel cell automotive power system modeling method of claim 1, wherein the activated polarization overvoltage model VactThe calculation formula of (a) is specifically as follows:
4. A power flow based hydrogen fuel cell automotive power system modeling method as claimed in claim 2 or 3, characterized by effective partial pressure of hydrogen gasAnd effective partial pressure of oxygenThe method comprises the following steps of constructing a backpressure regulation model:
wherein ,PaBack pressure of the battery anode; m is1,m2…m5All are electrochemical correlation coefficients.
5. The power flow-based hydrogen fuel cell automotive power system modeling method of claim 1, wherein the concentration polarization overvoltage model VconcThe calculation formula of (a) is specifically as follows:
wherein R is a universal gas constant; t isstIs the fuel cell operating temperature; f is a Faraday constant; i is the current magnitude in the circuit; i islimIs the limiting current of the fuel cell.
6. The modeling method for a power flow based hydrogen fuel cell automotive power system as claimed in claim 1, wherein said ohmic polarization overvoltage model VohmThe calculation formula of (a) is specifically as follows:
wherein I is the current magnitude in the circuit; s is the effective activation area of the proton exchange membrane; rcIs the fuel cell external circuit equivalent impedance; l is the proton exchange membrane thickness; gamma is the resistivity correlation coefficient of the proton exchange membrane;
wherein v is the water content of the proton exchange membrane, and the calculation formula is as follows:
Pcfor cell cathode back pressure, lambdacK is the water content correlation coefficient of the proton exchange membrane.
7. The modeling method for hydrogen fuel cell automobile power system based on power flow as claimed in claim 1, wherein the output parameter of the electrochemical mechanism model of the hydrogen fuel cell is the output power P of the hydrogen fuel celleout:
Peout=Vout×I
8. The modeling method for the power system of the hydrogen fuel cell automobile based on power flow as claimed in claim 1, wherein the road resistance model, the air resistance model, the acceleration resistance model and the transmission efficiency model in the power system load model are constructed by the following steps:
1) road resistance model FrThe construction of (1):
1.1) carrying out moment calculation by taking the middle points of the front and rear wheels of the automobile and the road contact surface as centers, and calculating the normal reaction force of each wheel in the running process of the automobile, wherein the specific formula is as follows:
wherein G is the total gravity of the automobile; b1Distance from the front wheel to the center of gravity of the vehicle; b2The distance from the rear wheel to the center of gravity of the vehicle; l is the distance between the front and rear wheels; alpha is the slope angle of the road; h isgThe distance between the gravity center of the vehicle and the wheel axle; u is the vehicle speed; fzw1 and Fzw2Respectively, an aerodynamic lift force acting on the vehicle body and located above the grounding points of the left front wheel and the left rear wheel, Fzw3 and Fzw4Respectively acting on the vehicle body and positioned above the grounding points of the right front wheel and the right rear wheel; t isf1 and Tf2Rolling resistance couple moments, T, on the left front and left rear wheels, respectivelyf3 and Tf4Respectively rolling resistance couple moments on the right front wheel and the right rear wheel; t isjw1 and Tjw2The inertia resistance couple moments, T, on the left front and left rear wheels respectivelyjw3 and Tjw4The inertia resistance couple moments on the right front wheel and the right rear wheel respectively; fz1 and Fz2Normal reaction forces of a left front wheel and a left rear wheel of the automobile are respectively; fz3、Fz4Normal reaction forces of the right front wheel and the right rear wheel are respectively; m is the total mass of the automobile;
wherein ,rsIs the wheel radius; clf and CrfThe air lift coefficients of the front wheel and the rear wheel are respectively; i iswThe moment of inertia of each wheel; a is the frontal area; rhoaIs the air density; f is a rolling resistance coefficient of the rolling element,f0,f1,f4is an inherent coefficient that affects the rolling resistance of a tire;
1.2) F obtained according to step 1.1)z1,Fz2,Fz3,Fz4Calculating the sum F of normal reaction forces borne by each tire of the automobilezThe concrete formula is as follows:
Fz=Fz1+Fz2+Fz3+Fz4
=Gcosα-ClfAρau2-CrfAρau2
1.3) calculating by the following formula to obtain a road resistance model Fr:
2) Air resistance model FwThe construction of (1):
wherein ,FwIs the air resistance; cDIs the air resistance coefficient.
3) Acceleration resistance model FaThe construction of (1):
wherein ,FaIs acceleration resistance; i iswThe moment of inertia of each wheel; r issIs the wheel radius;
4) transmission efficiency model FηThe construction of (1):
wherein T is motor torque; i.e. i0The transmission ratio of the main speed reducer is set; etaTThe transmission efficiency of the power system is improved.
5) Obtaining a load model F of the power system according to a calculation formula of each load resistance in the power systemt:
9. The power flow-based hydrogen fuel cell automotive power system modeling method of claim 8, characterized in that the power system load model FtThe output parameters of are acceleration a, speed u and power consumption of the power systemWherein the acceleration a and the speed u are output parameters of the acceleration resistance model:
1) the calculation formula of the acceleration a is as follows:
wherein a is the acceleration generated by the power system; etaTThe transmission efficiency of the power system is improved; peFor driving power of the power system, i.e. equal to hydrogen fuelOutput power of the battery, Pe=Peout=Vout×I;
2) The velocity u is calculated as follows:
wherein ,t0Is the initial time; u. of0At an initial speed, i.e. t0The vehicle running speed at the moment.
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