航天器锂离子蓄电池充电系统建模及仿真分析
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摘要
精确计算锂电池充电过程是航天器能源系统的设计难点。为获得一种准确的理论模型及数学工具,对主流的航天器锂电池充电装置,以及锂电池限压充电阶段的电压、电流及容量变化曲线进行分析。对充电阶段的蓄电池以及相应的充电控制电路进行建模,获得相应的控制框图。对S3R及DC-DC充电电路原理进行分析。结合蓄电池模型,利用状态空间平均法,获得限压阶段蓄电池充电电流和充电电量的解析表达式。将理论计算结果与试验数据进行对比,验证了模型与公式的正确性。并利用模型结合MATLAB仿真,对影响蓄电池充电过程的内阻r进行分析。
It is difficult to calculate the charging process of the Lithium-ion battery of the power system of spacecraft accurately. To obtain an accurate theoretical model and mathematical tool, an analysis for lithium battery charging device of spacecraft has been done. The voltage curve, current curve and volume curve of the certain-voltage charging process of the lithium battery is analyzed. The model of the battery and the charging control circuit of the charging process is obtained, also with the corresponding control block diagram. The principle of charging circuit of S3 R and DC-DC is analyzed. The anayltical expression of the battery charging current with time is given through the battery model and state space averaging modeling. A comparison between the theoretical calculation and test result shows the validity of the model and the expression. Through the simulation of MATLAB, the affect of the inner resistance to the charging process is analyzed.
It is difficult to calculate the charging process of the Lithium-ion battery of the power system of spacecraft accurately. To obtain an accurate theoretical model and mathematical tool, an analysis for lithium battery charging device of spacecraft has been done. The voltage curve, current curve and volume curve of the certain-voltage charging process of the lithium battery is analyzed. The model of the battery and the charging control circuit of the charging process is obtained, also with the corresponding control block diagram. The principle of charging circuit of S3 R and DC-DC is analyzed. The anayltical expression of the battery charging current with time is given through the battery model and state space averaging modeling. A comparison between the theoretical calculation and test result shows the validity of the model and the expression. Through the simulation of MATLAB, the affect of the inner resistance to the charging process is analyzed.
引文
[1] 李国欣. 航天器电源系统技术概论[M]. 北京:中国宇航出版社, 2008.
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[3] KIM T, QIAO W, QU L. Hysteresis modeling for model-based condition monitoring of Lithium-ion batteries[C]. Energy Conversion Congress and Exposi-tion(ECCE), 2015 IEEE.
[4] 郭向飞,杨晨,杨丞,等. 以LiNi1/3Co1/3Mn1/3O2为正极的高功率锂离子蓄电池性能研究[J].上海航天, 2014(5): 69-72.
[5] CAPEL A, PEROL P. Comparative performance evaluation between the S4R and the S3R regulated bus topologies[C].Proceedings of the 32nd IEEE Power Electronics Specialists Conference. Vancouver, USA: IEEE, 2001:1963-1969.
[6] GARRIGOS A, CARRASCO J A, BLANES J M, et al. Modeling the sequential switching shunt series regulator [J]. IEEE Power Electronics Letters, 2005, 3(1):7-13.
[7] O′ SULLIVAN D, WEINBERG A H. The sequential switching shunt regulator (S3R)[C]. Prooceedings ESTEC Spacecraft Power Conditioning Seminar, Noordwijk, Netherlands, ESA SP-126, 1977:123-131.
[8] OWEN H A, CAPEL A, FERRANTE J G. Simulation and analysis methods for sampled power electronics systems [J]. IEEE Power Electronics Specialists Conference,1976.
[9] MIDDLEBROOK R D, CUK S. Modeling and analysis methods for DC-to-DC switching convert-ers[J]. IEEE Proceeding of International Semiconductor Power Conversion Conference, 1977.
[10] DEAN V H. Practical techniques for analyzing,measuring, and stabilizing feedback control loopsin switching regulators and converters[J]. Proceedings of the Seventh National Power Conversion Conference, POWERCON 7, 1980, I2-1-I2-17.
[11] 张卫平. 开关变换器的建模与控制[M]. 北京: 中国电力出版社,2006.
[12] MIDDLEBROOK R D, SLOBODAN C. Advances in switched-mode power conversion[J]. Pasadena, CA TESLACO, 1981.
[13] DORF R C, BISHOP R H. Modern Control Syst-ems[M]. Prentice Hall, 2010.
[14] DEAN V H. The K factor: a new mathematical tool for stability analysis and synthesis[J]. Proceedings of Powercon 10, San Diego, CA,1983: H1-1-H1-12.
[15] OPPENHEIM A V, WILLSKY A S, NAWAB S H. Signals and Systems[M]. Pearson, 1996.
[2] 鲍志云,朱红雨,王明彦. 基于S3R架构低输出阻抗太阳能阵列分流器[J]. 中国电机学报, 2010,30(6):192-198.
[3] KIM T, QIAO W, QU L. Hysteresis modeling for model-based condition monitoring of Lithium-ion batteries[C]. Energy Conversion Congress and Exposi-tion(ECCE), 2015 IEEE.
[4] 郭向飞,杨晨,杨丞,等. 以LiNi1/3Co1/3Mn1/3O2为正极的高功率锂离子蓄电池性能研究[J].上海航天, 2014(5): 69-72.
[5] CAPEL A, PEROL P. Comparative performance evaluation between the S4R and the S3R regulated bus topologies[C].Proceedings of the 32nd IEEE Power Electronics Specialists Conference. Vancouver, USA: IEEE, 2001:1963-1969.
[6] GARRIGOS A, CARRASCO J A, BLANES J M, et al. Modeling the sequential switching shunt series regulator [J]. IEEE Power Electronics Letters, 2005, 3(1):7-13.
[7] O′ SULLIVAN D, WEINBERG A H. The sequential switching shunt regulator (S3R)[C]. Prooceedings ESTEC Spacecraft Power Conditioning Seminar, Noordwijk, Netherlands, ESA SP-126, 1977:123-131.
[8] OWEN H A, CAPEL A, FERRANTE J G. Simulation and analysis methods for sampled power electronics systems [J]. IEEE Power Electronics Specialists Conference,1976.
[9] MIDDLEBROOK R D, CUK S. Modeling and analysis methods for DC-to-DC switching convert-ers[J]. IEEE Proceeding of International Semiconductor Power Conversion Conference, 1977.
[10] DEAN V H. Practical techniques for analyzing,measuring, and stabilizing feedback control loopsin switching regulators and converters[J]. Proceedings of the Seventh National Power Conversion Conference, POWERCON 7, 1980, I2-1-I2-17.
[11] 张卫平. 开关变换器的建模与控制[M]. 北京: 中国电力出版社,2006.
[12] MIDDLEBROOK R D, SLOBODAN C. Advances in switched-mode power conversion[J]. Pasadena, CA TESLACO, 1981.
[13] DORF R C, BISHOP R H. Modern Control Syst-ems[M]. Prentice Hall, 2010.
[14] DEAN V H. The K factor: a new mathematical tool for stability analysis and synthesis[J]. Proceedings of Powercon 10, San Diego, CA,1983: H1-1-H1-12.
[15] OPPENHEIM A V, WILLSKY A S, NAWAB S H. Signals and Systems[M]. Pearson, 1996.