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Mathematical Study for Electric Motor Power Losses Used in Electric Vehicles

机译：电动汽车中电动机功率损耗的数学研究

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For the last twenty years the major problem of the atmospheric pollution at the urban has lead to thernsolution of the Electric Vehicles. Although these vehicles seem to be the best solution against thisrnproblem, they have some important disadvantages essentially because of the batteries they use. One ofrnthese problems is the vehicle autonomy, which is directly related to the vehicle efficiency. In order tornachieve a bigger autonomy the minimization of the power losses is a great issue and an importantrnsubject of studying. One of the vehicle parts, which appears increased power losses, is the electricrnmotor. On the other hand the mechanical parts in such vehicles increase the cost, the complexity andrnthe power losses. In this paper an analytical study of the power losses for different kinds of electricrnmotors is developed. This study is focused on the estimation of the power losses as a function of therngear ratio value for constant vehicle speed values or for constant road grade values. The analyticalrnequations can be solved and yield the proper gear ratios in order to have the minimum power losses.rnAlso a graphical representation of these equations for some certain motors is shown. Finally somernimportant conclusions about the proper gear ratios are presented.
机译：在过去的二十年中，城市大气污染的主要问题导致了电动汽车的解决。尽管这些车辆似乎是解决此问题的最佳解决方案，但由于它们使用的电池，它们具有一些重要的缺点。这些问题之一是车辆自主性，其与车辆效率直接相关。为了获得更大的自主权，最小化功率损耗是一个重要的课题，也是研究的重要课题。电机似乎是增加的功率损耗的车辆部件之一。另一方面，这种车辆中的机械零件增加了成本，复杂性和功率损耗。本文对不同类型的电动机的功率损耗进行了分析研究。对于恒定的车速值或恒定的道路坡度值，本研究着重于根据功率比的函数估算功率损耗。可以解决解析方程，并产生适当的齿轮比，以使功率损耗最小。rn此外，还显示了某些电动机的这些方程式的图形表示。最后，给出了有关适当传动比的一些重要结论。

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