磷酸铁锂电池内阻测量目前大多存在耗时长、测量结果不连续等问题。文章提出一种新型的内阻测量方法——双倍率曲线法。基于该方法,对不同温度下电池内阻进行测量并进行误差分析。结合误差分析结果发现,该测量方法的适用放电状态(state of discharge, SoD)区间为5% ~ 90%。对该区间内平均内阻与温度之间的关系进行定量分析,得到平均内阻随温度变化的关系式。相比于以往的其他测量方法,该方法的提出能够有效缩短内阻测量时耗,可为在线内阻测量的实现提供一定的研究基础。
Currently, most of LiFePO4 battery resistance measurements are time-consuming and discontinuous. In this paper, a new type of internal resistance measurement method—double rate curves method was proposed. Based on this method, the internal resistances of the battery at different temperatures were measured, and the error of this method was analyzed. Results showed that the reliable state of discharge (SoD) region of internal resistance was in the range of 5% ~ 90%. The relationship between average internal resistances and temperature in this SoD range during discharge was analyzed quantitatively, and an equation of average internal resistance versus temperature was obtained. Compared with other methods, the time consuming of this method was largely shorten, which may goes a further step for the real-time measurement of internal resistance.
[1] AHMED S H, KANG X S, SHRESTHA S O B. Effects of temperature on internal resistances of lithium-ion batteries[J]. Journal of energy resources technology, 2015, 137(3): 031901. DOI: 10.1115/1.4028698.
[2] JI Y, ZHANG Y C, WANG C Y.Li-ion cell operation at low temperatures[J]. Journal of the electrochemical society, 2013, 160(4): A636-A649. DOI: 10.1149/2.047304jes.
[3] YAZDANPOUR M, TAHERI P, MANSOURI A, et al.A distributed analytical electro-thermal model for pouch-type lithium-ion batteries[J]. Journal of the electrochemical society, 2014, 161(14): A1953-A1963. DOI: 10.1149/2.1191412jes.
[4] PESARAN A A.Battery thermal models for hybrid vehicle simulations[J]. Journal of power sources, 2002, 110(2): 377-382. DOI: 10.1016/S0378-7753(02)00200-8.
[5] 罗玲, 宋文吉, 林仕立, 等. 工作温度对磷酸铁锂电池SOC影响及研究进展[J]. 新能源进展, 2015, 3(1): 59-69. DOI: 10.3969/j.issn.2095-560X.2015.01.010.
[6] YANG N X, ZHANG X W, SHANG B B, et al.Unbalanced discharging and aging due to temperature differences among the cells in a lithium-ion battery pack with parallel combination[J]. Journal of power sources, 2016, 306: 733-741. DOI: 10.1016/j.jpowsour.2015.12.079.
[7] PETZL M, KASPER M, DANZER M A.Lithium plating in a commercial lithium-ion battery-A low-temperature aging study[J]. Journal of power sources, 2015, 275: 799-807. DOI: 10.1016/j.jpowsour.2014.11.065.
[8] RAMADASS P, HARAN B, WHITE R, et al.Capacity fade of Sony 18650 cells cycled at elevated temperatures: Part II. Capacity fade analysis[J]. Journal of power sources, 2002, 112(2): 614-620. DOI: 10.1016/S0378-7753(02)00473-1.
[9] WALDMANN T, WILKA M, KASPER M, et al.Temperature dependent ageing mechanisms in Lithium-ion batteries-A Post-Mortem study[J]. Journal of power sources, 2014, 262: 129-135. DOI: 10.1016/j.jpowsour.2014.03.112.
[10] WANG Q S, PING P, ZHAO X J, et al.Thermal runaway caused fire and explosion of lithium ion battery[J]. Journal of power sources, 2012, 208: 210-224. DOI: 10.1016/j.jpowsour.2012.02.038.
[11] WAAG W, KÄBITZ S, SAUER D U. Experimental investigation of the lithium-ion battery impedance characteristic at various conditions and aging states and its influence on the application[J]. Applied energy, 2013, 102: 885-897. DOI: 10.1016/j.apenergy.2012.09.030.
[12] WANG D, BAO Y, SHI J J.Online lithium-ion battery internal resistance measurement application in state-of-charge estimation using the extended kalman filter[J]. Energies, 2017, 10(9): 1284. DOI: 10.3390/en10091284.
[13] WU C X, FU R J, XU Z M, et al.Improved state of charge estimation for high power lithium ion batteries considering current dependence of internal resistance[J]. Energies, 2017, 10(10): 1486. DOI: 10.3390/en10101486.
[14] NING G, HARAN B, POPOV B N.Capacity fade study of lithium-ion batteries cycled at high discharge rates[J]. Journal of power sources, 2003, 117(1/2): 160-169. DOI: 10.1016/S0378-7753(03)00029-6.
[15] ZHANG D, HARAN B S, DURAIRAJAN A, et al.Studies on capacity fade of lithium-ion batteries[J]. Journal of power sources, 2000, 91(2): 122-129. DOI: 10.1016/S0378-7753(00)00469-9.
[16] REMMLINGER J, BUCHHOLZ M, MEILER M, et al.State-of-health monitoring of lithium-ion batteries in electric vehicles by on-board internal resistance estimation[J]. Journal of power sources, 2011, 196(12): 5357-5363. DOI: 10.1016/j.jpowsour.2010.08.035.
[17] TSENG K H, LIANG J W, CHANG W C, et al.Regression models using fully discharged voltage and internal resistance for state of health estimation of lithium-ion batteries[J]. Energies, 2015, 8(4): 2889-2907. DOI: 10.3390/en8042889.
[18] HONG X B, LI N Z, KONG Q Z, et al.Local cell temperature monitoring for aluminum shell lithium-ion battery based on electrical resistance tomography[J]. Measurement, 2016, 86: 227-238. DOI: 10.1016/j. measurement.2016.02.039.
[19] LEE C Y, LEE S J, TANG M S, et al.In situ monitoring of temperature inside lithium-ion batteries by flexible micro temperature sensors[J]. Sensors, 2011, 11(10): 9942-9950. DOI: 10.3390/s111009942.
[20] SUN J L, WEI G, PEI L G, et al.Online internal temperature estimation for lithium-ion batteries based on kalman filter[J]. Energies, 2015, 8(5): 4400-4415. DOI: 10.3390/en8054400.
[21] YANG G, LEITÃO C, LI Y H, et al. Real-time temperature measurement with fiber Bragg sensors in lithium batteries for safety usage[J]. Measurement, 2013, 46(9): 3166-3172. DOI: 10.1016/j.measurement.2013.05.027.
[22] GOGOANA R, PINSON M B, BAZANT M Z, et al.Internal resistance matching for parallel-connected lithium-ion cells and impacts on battery pack cycle life[J]. Journal of power sources, 2014, 252: 8-13. DOI: 10.1016/j.jpowsour.2013.11.101.
[23] LV J, SONG W J, LIN S L, et al.Influence of equalization on LiFePO4 battery inconsistency[J]. International journal of energy research, 2017, 41(8): 1171-1181. DOI: 10.1002/er.3701.
[24] LIU J J, WANG Z R, GONG J H, et al.Experimental study of thermal runaway process of 18650 lithium-ion battery[J]. Materials, 2017, 10(3): E230. DOI: 10.3390/ma10030230.
[25] 白帆飞, 宋文吉, 陈明彪, 等. 锂离子电池组热管理系统研究现状[J]. 电池, 2016, 46(3): 168-171. DOI: 10.3969/j.issn.1001-1579.2016.03.014.
[26] CHEN M B, BAI F F, SONG W J, et al.A multilayer electro-thermal model of pouch battery during normal discharge and internal short circuit process[J]. Applied thermal engineering, 2017, 120: 506-516. DOI: 10.1016/j.applthermaleng.2017.03.135.
[27] Freedom CAR battery test manual for power-assisted hybrid electric vehicles[M]. DOE/ID-11069, 2003.
[28] SONG W J, CHEN M B, BAI F F, et al.Non-uniform effect on the thermal/aging performance of Lithium-ion pouch battery[J]. Applied thermal engineering, 2018, 128: 1165-1174. DOI: 10.1016/j.applthermaleng.2017.09.090.
[29] RAHN C D, WANG C Y.Battery systems engineering[M]. New York: John Wiley & Sons Inc, 2013.