双碳,即碳达峰与碳中和的简称,2020年9月中国明确提出2030年实现“碳达峰”,2060年实现“碳中和”.为了实现这一目标,中国加大了电动汽车的研究与推广,到2060年,纯电动汽车在整体汽车中的渗透率有望超过70%,新型动力电池随之也迎来了蓬勃发展的机遇.Peukert于1898年提出蓄电池的容量C(单位:A·h),放电时间t(单位:h)与放电电流I(单位:A)之间关系的经验公式
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmrow%3E%3Cmi%3EI%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmo%3E%E2%8B%85%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3C%2Fmath%3E)
, 其中
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3En%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3El%3C%2Fmn%3E%3Cmn%3Eo%3C%2Fmn%3E%3Cmsub%3E%3Cmrow%3E%3Cmn%3Eg%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmsub%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmath%3E)
为Peukert常数.在电池容量不变的条件下,当放电电流
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmtext%3EA%3C%2Fmtext%3E%3C%2Fmath%3E)
时,放电时间
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmn%3E7%3C%2Fmn%3E%3Cmtext%3Eh%3C%2Fmtext%3E%3C%2Fmath%3E)
, 则当放电电流
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmtext%3EA%3C%2Fmtext%3E%3C%2Fmath%3E)
, 放电时间为( )