Pressure Control Design of High-Pressure Fuel Pipe

Shi Wei; Chunyong Wang; Tailin Cen; Yuhua Su

doi:doi:10.11648/j.ajam.20210904.11

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Pressure Control Design of High-Pressure Fuel Pipe

Shi Wei, Chunyong Wang, Tailin Cen, Yuhua Su

Published in American Journal of Applied Mathematics (Volume 9, Issue 4)

Received: 7 June 2021 Accepted: 28 June 2021 Published: 5 July 2021

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Abstract

In order to ensure the normal operation of the engine, the stability of the fuel supply system must be ensured. The fuel supply system needs to obtain fuel from the outside, and then pressurized into the high-pressure oil pipe, and then input into the engine cylinder. Therefore, the fuel parameters in the components of the fuel supply system affect each other. In this paper, a mathematical model is established to describe the relationship between the fuel parameters of each part of the fuel supply system, and then the stability of the fuel supply system can be controlled by controlling some parameters under given conditions. We intercept a very short time, analyze the mutual transfer of fuel in the fuel supply system through the micro element method, and establish the differential equations. Because some differential equations are more complex, it is difficult to find the formula solution, so we discretize the differential equations and get a group of recurrence relations. After calculating the initial state and related parameters, the fuel pressure parameters and fuel density parameters of each part of the fuel supply system at each time can be obtained recursively. Because the pressure and density of the fuel can express each other, we focus on the density parameter of the fuel, and do the conversion when the pressure is needed. On the basis of this group of recursive relations, we established an optimization model of fuel pressure control in high-pressure oil pipe: Taking the fuel supply time of one-way valve as decision variables, minimizing the difference between fuel pressure and standard value at each time as optimization objective, taking the practical significance of each physical quantity as constraint condition, and gave a discrete algorithm.

Published in	American Journal of Applied Mathematics (Volume 9, Issue 4)
DOI	10.11648/j.ajam.20210904.11
Page(s)	92-103
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

High-Pressure Fuel Pipe, The Stability of Fuel Supply Pressure, The Micro Element Method, Differential Equations, The Optimization Model

References

[1]	www.mcm.edu.cn. CUMCM 2019 Problems [EB/OL]. http://www.mcm.edu.cn/html_cn/node/b0ae8510b9ec0cc0deb2266d2de19ecb.html, 2019. 09.
[2]	Ahmed Jabbar Hussein, Hashim A. Kashkool. A weak Galerkin finite element method for two-dimensional coupled burgers’ equation by using polynomials of order (k, k – 1, k – 1) [J]. Journal of Interdisciplinary Mathematics, 23 (4): 777-790.
[3]	Hu Ying; Yang Jianguo; Hu Nao. Experimental study and optimization in the layouts and the structure of the high-pressure common-rail fuel injection system for a marine diesel engine [J]. International Journal of Engine Research, 2021, 22 (6): 1850-1871.
[4]	Zhong Qi, He Xianjian, LI Yanbiao. Research on Control Algorithm for High-speed on/off Valves that Adaptive to Supply Pressure Changes [J]. Journal of Mechanical Engineering, 2021, 57 (3): 224-235.
[5]	Yang Yong-qi, Xu Xin-lei, Xu Hai-yang. Research on High Pressure Oil Pipe Pressure Control Based on Multi-Objective Dynamic Programming Model [J]. Computer Knowledge and Technology, 2020, 16 (6): 25-26.
[6]	Mehdi AbiarKashani; Younes Alizadeh Vaghasloo; Mostafa AghaMirsalim. Optimal design of high-pressure fuel pipe based on vibration response and strength using multi-objective genetic algorithm [J]. Structural and Multidisciplinary Optimization, 2021, 1-22.
[7]	Zajac Roman, Prokop Aleš, Řehák Kamil. Modal properties diagnostics of the high-pressure fuel injection pipes in off-road diesel engine [J]. Journal of Measurements in Engineering, 2021, 9 (01): 48-57.
[8]	Xu Yuanzhen, Fang Yi, Sun Sirong. High-pressure Fuel Pipe Pressure Control Strategy Based on Multiple Search Algorithms [J]. Mathematical Modeling and Its Applications, 2020, 9 (4): 110-115.
[9]	Wang Jianling, Yang Xiuqin. Elastic modulus of gas spring [J]. Journal of Pingdingshan Institute of Technology, 2005, 14 (2): 65-66.
[10]	Shao Shiquan, Liu Xia. Discussion and study on the equation form of cam profile curve [J]. Mechanical Research and Application, 2014, (3): 1-2.

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APA Style

Shi Wei, Chunyong Wang, Tailin Cen, Yuhua Su. (2021). Pressure Control Design of High-Pressure Fuel Pipe. American Journal of Applied Mathematics, 9(4), 92-103. https://doi.org/10.11648/j.ajam.20210904.11

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ACS Style

Shi Wei; Chunyong Wang; Tailin Cen; Yuhua Su. Pressure Control Design of High-Pressure Fuel Pipe. Am. J. Appl. Math. 2021, 9(4), 92-103. doi: 10.11648/j.ajam.20210904.11

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AMA Style

Shi Wei, Chunyong Wang, Tailin Cen, Yuhua Su. Pressure Control Design of High-Pressure Fuel Pipe. Am J Appl Math. 2021;9(4):92-103. doi: 10.11648/j.ajam.20210904.11

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@article{10.11648/j.ajam.20210904.11,
  author = {Shi Wei and Chunyong Wang and Tailin Cen and Yuhua Su},
  title = {Pressure Control Design of High-Pressure Fuel Pipe},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {4},
  pages = {92-103},
  doi = {10.11648/j.ajam.20210904.11},
  url = {https://doi.org/10.11648/j.ajam.20210904.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210904.11},
  abstract = {In order to ensure the normal operation of the engine, the stability of the fuel supply system must be ensured. The fuel supply system needs to obtain fuel from the outside, and then pressurized into the high-pressure oil pipe, and then input into the engine cylinder. Therefore, the fuel parameters in the components of the fuel supply system affect each other. In this paper, a mathematical model is established to describe the relationship between the fuel parameters of each part of the fuel supply system, and then the stability of the fuel supply system can be controlled by controlling some parameters under given conditions. We intercept a very short time, analyze the mutual transfer of fuel in the fuel supply system through the micro element method, and establish the differential equations. Because some differential equations are more complex, it is difficult to find the formula solution, so we discretize the differential equations and get a group of recurrence relations. After calculating the initial state and related parameters, the fuel pressure parameters and fuel density parameters of each part of the fuel supply system at each time can be obtained recursively. Because the pressure and density of the fuel can express each other, we focus on the density parameter of the fuel, and do the conversion when the pressure is needed. On the basis of this group of recursive relations, we established an optimization model of fuel pressure control in high-pressure oil pipe: Taking the fuel supply time of one-way valve as decision variables, minimizing the difference between fuel pressure and standard value at each time as optimization objective, taking the practical significance of each physical quantity as constraint condition, and gave a discrete algorithm.},
 year = {2021}
}

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TY  - JOUR
T1  - Pressure Control Design of High-Pressure Fuel Pipe
AU  - Shi Wei
AU  - Chunyong Wang
AU  - Tailin Cen
AU  - Yuhua Su
Y1  - 2021/07/05
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210904.11
DO  - 10.11648/j.ajam.20210904.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 92
EP  - 103
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210904.11
AB  - In order to ensure the normal operation of the engine, the stability of the fuel supply system must be ensured. The fuel supply system needs to obtain fuel from the outside, and then pressurized into the high-pressure oil pipe, and then input into the engine cylinder. Therefore, the fuel parameters in the components of the fuel supply system affect each other. In this paper, a mathematical model is established to describe the relationship between the fuel parameters of each part of the fuel supply system, and then the stability of the fuel supply system can be controlled by controlling some parameters under given conditions. We intercept a very short time, analyze the mutual transfer of fuel in the fuel supply system through the micro element method, and establish the differential equations. Because some differential equations are more complex, it is difficult to find the formula solution, so we discretize the differential equations and get a group of recurrence relations. After calculating the initial state and related parameters, the fuel pressure parameters and fuel density parameters of each part of the fuel supply system at each time can be obtained recursively. Because the pressure and density of the fuel can express each other, we focus on the density parameter of the fuel, and do the conversion when the pressure is needed. On the basis of this group of recursive relations, we established an optimization model of fuel pressure control in high-pressure oil pipe: Taking the fuel supply time of one-way valve as decision variables, minimizing the difference between fuel pressure and standard value at each time as optimization objective, taking the practical significance of each physical quantity as constraint condition, and gave a discrete algorithm.
VL  - 9
IS  - 4
ER  -

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Author Information

Shi Wei

College of Teachers and Music, Hezhou University, Hezhou, China
Chunyong Wang

College of Teachers and Music, Hezhou University, Hezhou, China
Tailin Cen

College of Teachers and Music, Hezhou University, Hezhou, China
Yuhua Su

College of Teachers and Music, Hezhou University, Hezhou, China

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Plain Text BibTeX RIS

APA Style

Shi Wei, Chunyong Wang, Tailin Cen, Yuhua Su. (2021). Pressure Control Design of High-Pressure Fuel Pipe. American Journal of Applied Mathematics, 9(4), 92-103. https://doi.org/10.11648/j.ajam.20210904.11

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ACS Style

Shi Wei; Chunyong Wang; Tailin Cen; Yuhua Su. Pressure Control Design of High-Pressure Fuel Pipe. Am. J. Appl. Math. 2021, 9(4), 92-103. doi: 10.11648/j.ajam.20210904.11

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AMA Style

Shi Wei, Chunyong Wang, Tailin Cen, Yuhua Su. Pressure Control Design of High-Pressure Fuel Pipe. Am J Appl Math. 2021;9(4):92-103. doi: 10.11648/j.ajam.20210904.11

Copy | Download

@article{10.11648/j.ajam.20210904.11,
  author = {Shi Wei and Chunyong Wang and Tailin Cen and Yuhua Su},
  title = {Pressure Control Design of High-Pressure Fuel Pipe},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {4},
  pages = {92-103},
  doi = {10.11648/j.ajam.20210904.11},
  url = {https://doi.org/10.11648/j.ajam.20210904.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210904.11},
  abstract = {In order to ensure the normal operation of the engine, the stability of the fuel supply system must be ensured. The fuel supply system needs to obtain fuel from the outside, and then pressurized into the high-pressure oil pipe, and then input into the engine cylinder. Therefore, the fuel parameters in the components of the fuel supply system affect each other. In this paper, a mathematical model is established to describe the relationship between the fuel parameters of each part of the fuel supply system, and then the stability of the fuel supply system can be controlled by controlling some parameters under given conditions. We intercept a very short time, analyze the mutual transfer of fuel in the fuel supply system through the micro element method, and establish the differential equations. Because some differential equations are more complex, it is difficult to find the formula solution, so we discretize the differential equations and get a group of recurrence relations. After calculating the initial state and related parameters, the fuel pressure parameters and fuel density parameters of each part of the fuel supply system at each time can be obtained recursively. Because the pressure and density of the fuel can express each other, we focus on the density parameter of the fuel, and do the conversion when the pressure is needed. On the basis of this group of recursive relations, we established an optimization model of fuel pressure control in high-pressure oil pipe: Taking the fuel supply time of one-way valve as decision variables, minimizing the difference between fuel pressure and standard value at each time as optimization objective, taking the practical significance of each physical quantity as constraint condition, and gave a discrete algorithm.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Pressure Control Design of High-Pressure Fuel Pipe
AU  - Shi Wei
AU  - Chunyong Wang
AU  - Tailin Cen
AU  - Yuhua Su
Y1  - 2021/07/05
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210904.11
DO  - 10.11648/j.ajam.20210904.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 92
EP  - 103
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210904.11
AB  - In order to ensure the normal operation of the engine, the stability of the fuel supply system must be ensured. The fuel supply system needs to obtain fuel from the outside, and then pressurized into the high-pressure oil pipe, and then input into the engine cylinder. Therefore, the fuel parameters in the components of the fuel supply system affect each other. In this paper, a mathematical model is established to describe the relationship between the fuel parameters of each part of the fuel supply system, and then the stability of the fuel supply system can be controlled by controlling some parameters under given conditions. We intercept a very short time, analyze the mutual transfer of fuel in the fuel supply system through the micro element method, and establish the differential equations. Because some differential equations are more complex, it is difficult to find the formula solution, so we discretize the differential equations and get a group of recurrence relations. After calculating the initial state and related parameters, the fuel pressure parameters and fuel density parameters of each part of the fuel supply system at each time can be obtained recursively. Because the pressure and density of the fuel can express each other, we focus on the density parameter of the fuel, and do the conversion when the pressure is needed. On the basis of this group of recursive relations, we established an optimization model of fuel pressure control in high-pressure oil pipe: Taking the fuel supply time of one-way valve as decision variables, minimizing the difference between fuel pressure and standard value at each time as optimization objective, taking the practical significance of each physical quantity as constraint condition, and gave a discrete algorithm.
VL  - 9
IS  - 4
ER  -

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