Skip navigation

DSpace

機構典藏 DSpace 系統致力於保存各式數位資料(如:文字、圖片、PDF)並使其易於取用。

點此認識 DSpace
DSpace logo
English
中文
  • 瀏覽論文
    • 校院系所
    • 出版年
    • 作者
    • 標題
    • 關鍵字
    • 指導教授
  • 搜尋 TDR
  • 授權 Q&A
    • 我的頁面
    • 接受 E-mail 通知
    • 編輯個人資料
  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 機械工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/102194
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor陽毅平zh_TW
dc.contributor.advisorYee-Pien Yangen
dc.contributor.author徐英祐zh_TW
dc.contributor.authorYing-You Xuen
dc.date.accessioned2026-04-08T16:11:46Z-
dc.date.available2026-04-09-
dc.date.copyright2026-04-08-
dc.date.issued2026-
dc.date.submitted2026-03-31-
dc.identifier.citation[1] P. Phogat, S. Dey, and M. Wan, “Powering the sustainable future: a review of emerging battery technologies and their environmental impact,” RSC Sustainability, vol. 3, pp. 3266–3306, 2025, doi: 10.1039/d5su00127g.
[2] D. Ding, Z. Li, L. Luo, M. Jin, B. Zhu, Y. Zhong, J. Hu, P. Cai, and H. Hu, “Large lithium-ion battery model for secure shared electric bike battery in smart cities,” Nature Communications, vol. 16, no. 1, art. no. 8415, 2025, doi: 10.1038/s41467-025-63678-7.
[3] A. Townsend and R. A. Gouws, “A comparative review of lead-acid, lithium-ion and ultra-capacitor technologies and their degradation mechanisms,” Energies, vol. 15, art. no. 4930, 2022, doi: 10.3390/en15134930.
[4] G. Di Luca, G. Di Blasio, A. Gimelli, and D. A. Misul, “Review on battery state estimation and management solutions for next-generation connected vehicles,” Energies, vol. 17, no. 1, art. no. 202, 2024, doi: 10.3390/en17010202.
[5] O. Demirci, S. Taskin, E. Schaltz, and B. A. Demirci, “Review of battery state estimation methods for electric vehicles – Part I: SOC estimation,” Journal of Energy Storage, vol. 87, art. no. 111435, 2024, doi: 10.1016/j.est.2024.111435.
[6] B. Xia, B. Ye, and J. Cao, “Polarization voltage characterization of lithium-ion batteries based on a lumped diffusion model and joint parameter estimation algorithm,” Energies, vol. 15, art. no. 1150, 2022, doi: 10.3390/en15031150.
[7] J. S. Edge et al., “Lithium ion battery degradation: what you need to know,” Phys. Chem. Chem. Phys., vol. 23, pp. 8200–8221, 2021, doi: 10.1039/d1cp00359c.
[8] M. A. A. Mohamed, T. F. Yu, G. Ramsden, J. Marco, and T. Grandjean, “Advancements in parameter estimation techniques for 1RC and 2RC equivalent circuit models of lithium-ion batteries: A comprehensive review,” Journal of Energy Storage, vol. 113, art. no. 115581, 2025, doi: 10.1016/j.est.2025.115581.
[9] H. He, R. Xiong, and J. Fan, “Evaluation of lithium-ion battery equivalent circuit models for state of charge estimation by an experimental approach,” Energies, vol. 4, pp. 582–598, 2011, doi: 10.3390/en4040582.
[10] K. Wang, F. Xiao, J. Pang, J. Ren, C. Duan, and L. Li, “State of charge (SOC) estimation of lithium-ion battery based on adaptive square root unscented Kalman filter,” Int. J. Electrochem. Sci., vol. 15, pp. 9499–9516, 2020, doi: 10.20964/2020.09.84.
[11] R. Xiao, J. Shen, X. Li, W. Yan, E. Pan, and Z. Chen, “Comparisons of modeling and state of charge estimation for lithium-ion battery based on fractional order and integral order methods,” Energies, vol. 9, art. no. 184, 2016, doi: 10.3390/en9030184.
[12] C. Li, “Study on second-order RC model charge state estimation method for lithium battery based on EKF algorithm,” Academic Journal of Science and Technology, vol. 12, no. 3, 2024.
[13] H. Zhou, Q. He, Y. Li, Y. Wang, D. Wang, and Y. Xie, “Enhanced second-order RC equivalent circuit model with hybrid offline–online parameter identification for accurate SoC estimation in electric vehicles under varying temperature conditions,” Energies, vol. 17, art. no. 4397, 2024, doi: 10.3390/en17174397.
[14] Y.-J. Ji, S.-L. Qiu, and G. Li, “Simulation of second-order RC equivalent circuit model of lithium battery based on variable resistance and capacitance,” Journal of Central South University, vol. 27, no. 9, pp. 2606–2613, 2020, doi: 10.1007/s11771-020-4485-9.
[15] K. S. Ng, C.-S. Moo, Y.-P. Chen, and Y.-C. Hsieh, “Enhanced coulomb counting method for estimating state-of-charge and state-of-health of lithium-ion batteries,” Applied Energy, vol. 86, pp. 1506–1511, 2009, doi: 10.1016/j.apenergy.2008.11.021.
[16] X. Dang, L. Yan, H. Jiang, X. Wu, and H. Sun, “Open-circuit voltage-based state of charge estimation of lithium-ion power battery by combining controlled auto-regressive and moving average modeling with feedforward-feedback compensation method,” Int. J. Electr. Power Energy Syst., vol. 90, pp. 27–36, 2017, doi: 10.1016/j.ijepes.2017.01.013.
[17] A. Gismero, E. Schaltz, and D.-I. Stroe, “Recursive state of charge and state of health estimation method for lithium-ion batteries based on Coulomb counting and open circuit voltage,” Energies, vol. 13, art. no. 1811, 2020, doi: 10.3390/en13071811.
[18] M. I. Wahyuddin, U. Darusalam, P. S. Priambodo, and H. Sudibyo, “Battery state of charge estimation based on internal resistance and recovery effect analysis,” Int. Energy J., vol. 22, pp. 357–366, Dec. 2022.
[19] D. Li, D. Yang, L. Li, L. Wang, and K. Wang, “Electrochemical impedance spectroscopy based on the state of health estimation for lithium-ion batteries,” Energies, vol. 15, art. no. 6665, 2022, doi: 10.3390/en15186665.
[20] X. Mao, S. Song, and F. Ding, “Optimal BP neural network algorithm for state of charge estimation of lithium-ion battery using PSO with Levy flight,” J. Energy Storage, vol. 49, art. no. 104139, 2022, doi: 10.1016/j.est.2022.104139.
[21] J. C. Álvarez Antón, P. J. García Nieto, F. J. de Cos Juez, F. Sánchez Lasheras, M. González Vega, and M. N. Roqueñí Gutiérrez, “Battery state-of-charge estimator using the SVM technique,” Applied Mathematical Modelling, vol. 37, no. 9, pp. 6244–6253, 2013, doi: 10.1016/j.apm.2013.01.024.
[22] T. Zahid and W. Li, “A comparative study based on the least square parameter identification method for state of charge estimation of a LiFePO₄ battery pack using three model-based algorithms for electric vehicles,” Energies, vol. 9, no. 9, art. no. 720, 2016, doi: 10.3390/en9090720.
[23] G. L. Plett, “Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 1. Background,” Journal of Power Sources, vol. 134, no. 2, pp. 252–261, 2004, doi: 10.1016/j.jpowsour.2004.02.031.
[24] J. Xie, X. Wei, X. Bo, P. Zhang, P. Chen, W. Hao, and M. Yuan, “State of charge estimation of lithium-ion battery based on extended Kalman filter algorithm,” Frontiers in Energy Research, vol. 11, art. no. 1180881, 2023, doi: 10.3389/fenrg.2023.1180881.
[25] G. L. Plett, “Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 3. State and parameter estimation,” Journal of Power Sources, vol. 134, no. 2, pp. 277–292, 2004, doi: 10.1016/j.jpowsour.2004.02.033.
[26] N. Wassiliadis, J. Adermann, A. Frericks, M. Pak, C. Reiter, B. Lohmann, and M. Lienkamp, “Revisiting the dual extended Kalman filter for battery state-of-charge and state-of-health estimation: A use-case life cycle analysis,” Journal of Energy Storage, vol. 19, pp. 73–87, 2018, doi: 10.1016/j.est.2018.07.006.
[27] R. Xiong, J. Cao, Q. Yu, H. He, and F. Sun, “Critical review on the battery state of charge estimation methods for electric vehicles,” IEEE Access, vol. 6, pp. 1832–1843, 2018, doi: 10.1109/ACCESS.2017.2780258.
[28] L. Yao, S. Xu, A. Tang, F. Zhou, J. Hou, Y. Xiao, and Z. Fu, “A review of lithium-ion battery state of health estimation and prediction methods,” World Electr. Veh. J., vol. 12, art. no. 113, 2021, doi: 10.3390/wevj12030113.
[29] K. M. Garse and K. N. Bairwa, “Performance evaluation of model-based online condition monitoring algorithms for Li-ion battery state estimation,” Int. J. Inf. Technol. Manag., vol. 19, no. 1, pp. 98–103, Feb. 2024.
[30] Q. Zhu, N. Xiong, M.-L. Yang, R.-S. Huang, and G.-D. Hu, “State of charge estimation for lithium-ion battery based on nonlinear observer: An H∞ method,” Energies, vol. 10, art. no. 679, 2017, doi: 10.3390/en10050679.
[31] Q. Wang, X. Feng, B. Zhang, T. Gao, and Y. Yang, “Power battery state of charge estimation based on extended Kalman filter,” J. Renewable Sustainable Energy, vol. 11, art. no. 014302, 2019, doi: 10.1063/1.5057894.
[32] H. Chen, F. Zhang, X. Zhao, G. Lei, and C. He, “ARWLS-AFEKE: SOC estimation and capacity correction of lithium batteries based on a fusion algorithm,” Processes, vol. 11, art. no. 800, 2023, doi: 10.3390/pr11030800.
[33] M. Acquarone, F. Miretti, D. Misul, and S. Onori, “Sleek dual extended Kalman filter for battery state of charge and state of health estimation in electric vehicle applications,” SAE Tech. Pap. 2024-24-0023, 2024, doi: 10.4271/2024-24-0023.
[34] B. S. Bhangu, P. Bentley, D. A. Stone, and C. M. Bingham, “Nonlinear observers for predicting state-of-charge and state-of-health of lead-acid batteries for hybrid-electric vehicles,” IEEE Trans. Veh. Technol., vol. 54, no. 3, pp. 783–794, May 2005, doi: 10.1109/TVT.2004.842461.
[35] Y. Chen, H. Xiong, and Y. Guo, “DEKF-based SOC estimation study for lithium batteries,” J. Phys.: Conf. Ser., vol. 2263, art. no. 012020, 2022, doi: 10.1088/1742-6596/2263/1/012020.
[36] P. Gu, Z. Zhou, S. Qu, C. Zhang, and B. Duan, “Influence analysis and optimization of sampling frequency on the accuracy of model and state-of-charge estimation for LiNCM battery,” Energies, vol. 12, no. 7, art. no. 1205, 2019, doi: 10.3390/en12071205.
[37] S. Liu, N. Cui, and C. Zhang, “An adaptive square root unscented Kalman filter approach for state of charge estimation of lithium-ion batteries,” Energies, vol. 10, no. 9, art. no. 1345, 2017, doi: 10.3390/en10091345.
[38] Y. Gao, T. Nguyen, and S. Onori, “Model-based state-of-charge estimation of 28 V LiFePO₄ aircraft battery,” SAE Int. J. Elect. Veh., vol. 14, no. 1, 2025, doi: 10.4271/14-14-01-0003.
[39] P. Lewoc, P. Korta, L. V. Iyer, and N. C. Kar, “Optimal direct parameter extraction of a lithium-ion equivalent circuit cell model for electric vehicle application,” Energies, vol. 18, art. no. 5645, 2025, doi: 10.3390/en18215645.
-
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/102194-
dc.description.abstract本論文針對電輔自行車(E-bike)於實際騎乘工況下之鋰電池電量估測問題。對電輔自行車之鋰離子電池模組,建立基於等效電路模型與雙擴展卡爾曼濾波器(Dual Extended Kalman Filter, DEKF)估測架構。藉由狀態擴展卡爾曼濾波器即時估算SOC與極化電壓,並結合參數擴展卡爾曼濾波器更新模型參數,以降低因工況變動或量測雜訊所致的模型不確定性。
在實驗測試方面,首先進行階梯放電與恆流放電兩種基準測試。在兩種完整放電情境下,SOC估測之平均絕對誤差與均方根誤差均於1%以內,且端電壓殘差維持在毫伏等級,評估模型在全電量區間誤差表現。
為進一步評估模型在真實動態負載下的表現,本研究測試Eco節能、Trekking日常巡航與Boost強力助力三種助力模式,於電量區段進行定速與不定速之片段騎乘實測,並比較State-EKF與DEKF兩種方法。結果顯示三種模式下SOC估測RMSE均能維持一致的誤差範圍內,端電壓殘差約佔標稱電壓的0.03%至0.09%。參數分析方面,R0之Mean在三模式間接近,但R0之Rate隨Eco到Boost呈上升趨勢,R1與R2之Mean與Rate亦為相同的上升趨勢。動態負載指標方面皆為Boost最大、Eco最小。跨模式能耗比較中,Boost單位距離能耗約3.48 Wh/km,高於Eco之2.09 Wh/km,反映高助力將顯著縮短續航。綜合實驗結果,本研究之二階等效電路模型結合DEKF可在E-bike高動態騎乘環境中維持穩定且低誤差之SOC估測表現,並可作為輕型電動載具於動態工況下電量估測設計之參考。
zh_TW
dc.description.abstractThis thesis addresses the problem of state-of-charge (SOC) estimation for the lithium-ion battery pack of an electric-assist bicycle (E-bike) under real riding conditions. An estimation framework is developed that combines an equivalent circuit model (ECM) with a dual extended Kalman filter (DEKF). The state EKF is used to estimate SOC and polarization voltages in real time, while a parameter EKF updates the model parameters online to reduce model uncertainty caused by operating-condition changes and measurement noise.
For experimental validation, step-current pulse (step-discharge) tests and constant-current discharge tests are first carried out as baseline experiments. Under these two full-discharge scenarios, the mean absolute error (MAE) and root-mean-square error (RMSE) of SOC estimation both remain within 1%, and the terminal-voltage residual stays in the millivolt range, confirming good accuracy over the entire SOC range. To further examine performance under realistic dynamic loads, three assist modes—Eco, Trekking, and high-power Boost—are tested using constant-speed and variable-speed riding segments within selected SOC windows, and two estimation schemes, a State-EKF and the proposed DEKF with online parameter updating, are compared. The results show that the SOC estimation accuracy remains within a consistent error range across the three modes, and the terminal-voltage residual corresponds to only about 0.03%–0.09% of the nominal pack voltage.
Parameter analysis indicates that the mean value of R0 is similar among the three modes, whereas the update activity of R0(Rate) increases from Eco to Boost; both the Mean and Rate of R1 and R2 exhibit the same increasing trend. Regarding dynamic load indicators, both reach their maximum in Boost mode and their minimum in Eco mode. In cross-mode energy analysis, Boost consumes about 3.48 Wh/km, higher than Eco at 2.09 Wh/km, indicating that stronger assist significantly shortens the riding range. Overall, the experiments demonstrate that the proposed second-order ECM combined with DEKF maintains stable and low-error SOC estimation performance for E-bike batteries under highly dynamic riding conditions, and it can serve as a reference for SOC estimation and BMS design in light electric vehicles.
en
dc.description.provenanceSubmitted by admin ntu (admin@lib.ntu.edu.tw) on 2026-04-08T16:11:46Z
No. of bitstreams: 0
en
dc.description.provenanceMade available in DSpace on 2026-04-08T16:11:46Z (GMT). No. of bitstreams: 0en
dc.description.tableofcontents中文摘要 i
ABSTRACT ii
目次 iv
圖次 vii
表次 xii
符號列表 xiv
1 第一章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.2.1 電池等效電路模型 3
1.2.2 電池電量估測方法 6
1.3 本文貢獻 11
1.4 論文架構 12
2 第二章 鋰電池模型與狀態估測方法 13
2.1 電池電量介紹 13
2.2 等效電路模型 15
2.2.1 狀態與輸入輸出定義 16
2.2.2 連續時間狀態方程 16
2.3 OCV-SOC曲線插值方法 17
2.4 離散化與離散狀態方程 19
2.5 狀態擴展卡爾曼濾波器 22
2.5.1 狀態與量測預測及Jacobian矩陣 22
2.5.2 狀態EKF演算法 24
2.6 參數擴展卡爾曼濾波器 25
2.6.1 參數與量測預測及Jacobian矩陣 25
2.6.2 參數EKF演算法 27
3 第三章 實驗設計與測試 31
3.1 實驗配置與實驗流程介紹 31
3.2 電池容量測試 39
3.3 電池OCV-SOC曲線建立 41
3.4 電池等效電路參數萃取 44
3.4.1 等效電路模型參數驗證 46
3.5 濾波器雜訊協方差設定 47
3.6 騎乘模式與工況測試結果 49
3.6.1 E-bike騎乘模式介紹 49
3.6.2 騎乘工況設計與測試 52
4 第四章 實驗結果 63
4.1 評估指標 63
4.2 基準放電估測與DEKF/ State-EKF比較 65
4.3 Eco模式放電估測結果 74
4.3.1 Eco模式DEKF/ State-EKF比較 74
4.3.2 Eco模式定速/不定速騎乘估測結果 77
4.4 Trekking模式放電估測結果 83
4.4.1 Trekking模式DEKF/ State-EKF比較 83
4.4.2 Trekking模式定速/不定速騎乘估測結果 86
4.5 Boost模式放電估測結果 92
4.5.1 Boost模式DEKF/ State-EKF比較 92
4.5.2 Boost模式定速/不定速騎乘估測結果 96
4.6 Eco/Trekking/Boost跨模式比較 101
4.6.1 跨模式之SOC與電壓估測誤差與參數變化比較 101
4.6.2 三模式定速騎乘動態負載與能耗比較 103
5 第五章 結論與未來展望 108
5.1 研究結論 108
5.2 未來研究方向 109
參考文獻 111
-
dc.language.isozh_TW-
dc.subject電輔自行車-
dc.subject鋰離子電池-
dc.subject二階等效電路模型-
dc.subject雙擴展卡爾曼濾波器-
dc.subjectSOC估測-
dc.subjectElectric-assist bicycle-
dc.subjectLithium-ion battery-
dc.subjectSecond-order equivalent circuit model-
dc.subjectDual extended Kalman filter-
dc.subjectSOC estimation-
dc.title以等效電路模型與DEKF架構於E-bike鋰電池SOC估測與比較zh_TW
dc.titleSOC Estimation and Comparison of E-Bike Li-Ion Battery Using ECM and DEKFen
dc.typeThesis-
dc.date.schoolyear114-2-
dc.description.degree碩士-
dc.contributor.oralexamcommittee楊士進;陳冠任zh_TW
dc.contributor.oralexamcommitteeShih-Chin Yang;Guan-Ren Chenen
dc.subject.keyword電輔自行車,鋰離子電池二階等效電路模型雙擴展卡爾曼濾波器SOC估測zh_TW
dc.subject.keywordElectric-assist bicycle,Lithium-ion batterySecond-order equivalent circuit modelDual extended Kalman filterSOC estimationen
dc.relation.page114-
dc.identifier.doi10.6342/NTU202600285-
dc.rights.note未授權-
dc.date.accepted2026-03-31-
dc.contributor.author-college工學院-
dc.contributor.author-dept機械工程學系-
dc.date.embargo-liftN/A-
顯示於系所單位:機械工程學系

文件中的檔案:
檔案 大小格式 
ntu-114-2.pdf
  未授權公開取用
6.85 MBAdobe PDF
顯示文件簡單紀錄


系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。

社群連結
聯絡資訊
10617臺北市大安區羅斯福路四段1號
No.1 Sec.4, Roosevelt Rd., Taipei, Taiwan, R.O.C. 106
Tel: (02)33662353
Email: ntuetds@ntu.edu.tw
意見箱
相關連結
館藏目錄
國內圖書館整合查詢 MetaCat
臺大學術典藏 NTU Scholars
臺大圖書館數位典藏館
本站聲明
© NTU Library All Rights Reserved