Energy-saving mechanism of series–parallel hybrid transmissions — A dynamic programming method based on matrix operations

The economic evaluation of hybrid transmission is a complicated numerical calculation problem in the finite time domain. Currently, employing traditional dynamic programming methods to evaluate a single design scheme consumes a lot of time, making it arduous to effectively compare performance dispar...

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Veröffentlicht in:Energy conversion and management Jg. 320; S. 118967
Hauptverfasser: Zhao, Junwei, Xu, Xiangyang, Li, Kaifeng, Guo, Wei, Liu, Yiqiang, Qian, Pengfei, Dong, Peng
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 15.11.2024
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ISSN:0196-8904
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Abstract The economic evaluation of hybrid transmission is a complicated numerical calculation problem in the finite time domain. Currently, employing traditional dynamic programming methods to evaluate a single design scheme consumes a lot of time, making it arduous to effectively compare performance disparities across various design schemes. This paper introduces a dynamic programming method based on matrix operations, enabling the determination of maximum energy-saving potential in hybrid transmission while reducing the evaluation time for a single design scheme from hours to less than 10 s. It unifies the design variables, constraints, and optimization objectives for multi-gear and multi-mode series–parallel hybrid transmissions (MGMM-SPHTs) during economic evaluation. By solving the performance of tens of thousands of design schemes, it is found that increasing the number of engine direct drive gears from 1 to 2 enhances the economy and power performance of series–parallel hybrid transmissions. For the optimal design scheme of Type-B vehicles, this enhancement results in a 1.712% increase in energy-saving efficiency and a 30.5% increment in power performance. Furthermore, this paper elucidates the adaptive relationship between MGMM-SPHTs and different vehicle types, revealing the energy-saving mechanisms under varied design schemes. This paper holds the promise of offering theoretical underpinnings and methodological instruments for selecting technical routes and optimizing design parameters for MGMM-SPHTs. [Display omitted] •A dynamic programming method utilizing matrix operations is proposed.•A comprehensive performance evaluation framework for MGMM-SPHTs is designed.•Swift economic evaluations of MGMM-SPHTs across extensive design variations are achieved.•The energy-saving mechanism inherent in MGMM-SPHTs is uncovered.
AbstractList The economic evaluation of hybrid transmission is a complicated numerical calculation problem in the finite time domain. Currently, employing traditional dynamic programming methods to evaluate a single design scheme consumes a lot of time, making it arduous to effectively compare performance disparities across various design schemes. This paper introduces a dynamic programming method based on matrix operations, enabling the determination of maximum energy-saving potential in hybrid transmission while reducing the evaluation time for a single design scheme from hours to less than 10 s. It unifies the design variables, constraints, and optimization objectives for multi-gear and multi-mode series–parallel hybrid transmissions (MGMM-SPHTs) during economic evaluation. By solving the performance of tens of thousands of design schemes, it is found that increasing the number of engine direct drive gears from 1 to 2 enhances the economy and power performance of series–parallel hybrid transmissions. For the optimal design scheme of Type-B vehicles, this enhancement results in a 1.712% increase in energy-saving efficiency and a 30.5% increment in power performance. Furthermore, this paper elucidates the adaptive relationship between MGMM-SPHTs and different vehicle types, revealing the energy-saving mechanisms under varied design schemes. This paper holds the promise of offering theoretical underpinnings and methodological instruments for selecting technical routes and optimizing design parameters for MGMM-SPHTs. [Display omitted] •A dynamic programming method utilizing matrix operations is proposed.•A comprehensive performance evaluation framework for MGMM-SPHTs is designed.•Swift economic evaluations of MGMM-SPHTs across extensive design variations are achieved.•The energy-saving mechanism inherent in MGMM-SPHTs is uncovered.
ArticleNumber 118967
Author Liu, Yiqiang
Li, Kaifeng
Guo, Wei
Xu, Xiangyang
Qian, Pengfei
Dong, Peng
Zhao, Junwei
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  givenname: Xiangyang
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  surname: Xu
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  surname: Li
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  organization: Geely Automobile Group, Hangzhou 310051, PR China
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  surname: Dong
  fullname: Dong, Peng
  email: dongpengbeihang@163.com
  organization: Department of Automotive Engineering, School of Transportation Science and Engineering, Beihang University, Beijing 100191, PR China
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ISSN 0196-8904
IngestDate Sat Nov 29 04:26:15 EST 2025
Tue Nov 18 20:41:42 EST 2025
Sat Oct 19 15:55:17 EDT 2024
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Keywords Series–parallel hybrid transmission
Energy-saving mechanism
Energy management strategy
Dynamic programming
Matrix operations
Language English
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Snippet The economic evaluation of hybrid transmission is a complicated numerical calculation problem in the finite time domain. Currently, employing traditional...
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SubjectTerms Dynamic programming
Energy management strategy
Energy-saving mechanism
Matrix operations
Series–parallel hybrid transmission
Title Energy-saving mechanism of series–parallel hybrid transmissions — A dynamic programming method based on matrix operations
URI https://dx.doi.org/10.1016/j.enconman.2024.118967
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