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(2) In this problem, you are asked to develop two battery models based on the given data. The test data available to you are in the file: HW2_P2_Data.mat including two data

sets: Chg1_1 (denoting test data during a charging event) and Dis1_1 (denoting test data during a discharging event). Each set has 4 columns: time (sec), current (A), terminal voltage (V) and SOC (between 0 and 1). The sign convention of the current signal follows standard industry practice, and a positive current denotes a discharging event. (i) Build the "battery voltage model" in the form of Vt.k = Ko - Rolk where Vt, and I denote the battery voltage and the battery current at time step k. You need to identify the two battery model parameters Ko and Ro. The identification should be done in the sense of least square (for the whole test data). The least square solution can be solved using pseudo inverse. • Report your identified model parameters {Ko Ro} for charging and discharging, separately. • Provide a figure with two subplots showing the measured and estimated (by your model) battery voltage vs. time in the top subplot and the error between the measured and estimated voltages in the bottom subplot. • Attach your Matlab codes (ii) Repeat part (i), except that you use a more complicated model structure: V = Ko-K₁/2k - K2²k + K3 ln (zk) + K4 ln (1 – zk) — R₂Ik • Report your identified model parameters Ko,..., K4, R.} for charging and discharging, sepa- rately. • Provide a plot showing the measured and estimated (by your model) battery voltage vs. time. • Attach your Matlab codes

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power of the battery is given and the weight of the car and the driver are given, need to calculate how much power do we need to reach the maximum speed Datas Chassis is 25 kg Driver is 70kg Battery is 5 kg Capacity = AH20


Problems 1 The stick diagram of a six-speed RWD MT is shown Figure 2.9b. The tire radius of the vehicle is R (ft) and the final drive ratio i is 3.25. The numbers of teeth are labeled in the drawing. Some gear ratios are given as: 1st gear (3.92), 2nd gear (2.76), 3rd gear (1.91), 4th gear (1.41). The number of teeth of gears N; and N, are 19 and 23 respectively. a) Determine the equivalent mass moment of inertia to be synchronized in a 1-2 upshift and a 5-4 downshift respectively, in terms of the mass moments of inertia of the involved parts and the labels for the tooth numbers. b) A 2-3 upshift is to be made at a vehicle speed of V (mph). Assuming the synchro- nization time is At and the angular velocity change is uniform during synchro- nization, determine the friction torque to be generated by the synchronizer friction cones. c) Determine the work done by the friction and the angle of rotation of gear N4c in the process of synchronization for the shift in (b). d) The synchronizers used in the transmission are the same and the angular velocity change during synchronization is assumed to be uniform. If the magnitude of the shift force in a 2-3 upshift, F23, is 10 N, determine the magnitude of the shift force in a 1-2 upshift, F12. Both shifts are made at the same engine angular veloc- ity, and within the same synchronization time At.


c A 5-4 shift is to be made at a vehicle speed of V (mph) with a synchronization time Ar. Assuming uniform angular velocity change during synchronization, find the friction torque to be generated by the friction cones.


Prob. 2: The stick diagram of a 5-speed marmal transmission of a RWD vehicle is shown in the drawing. The tire mndius of the vehicle is R (ft) and the final drive ratio is t,. The mambers of gear teeth are labeled in the stick diagram. Determine the transmission ratios in terms of the numbers of gear teeth for all forward and reverse gears. Determine the equivalent mass moment of inertia to be synchronized in a 2-3 shift and in a 5-4 shift respectively, in terms of the gear tooth numbers and the mass moments of inertia of the involved parts. A 5-4 shift is to be made at a vehicle speed of V (mph) with a synchronization time Ar. Assuming uniform angular velocity change during synchronization, find the friction torque to be generated by the friction cones. d) Determine the angles of rotation of the two friction cones during the synchronization process in the shift in e). Also determine the angle of rotation of the input shaft during the synchronization process. 5th 5th-Rev. Synchro Input Shaft N: et the Nc Rak 1st 2nd 3rd -Neo IVI 11²307 NOJAT Nee 1-2 Synchro NIC Reverse Idler Não 4th output shaft / Counter Shaft 3-4 synchro.


d) Determine the angles of rotation of the two friction cones during the synchronization process in the shift in c). Also determine the angle of rotation of the input shaft during the synchronization process.


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b) Determine the equivalent mass moment of inertia to be synchronized in a 2-3 shift and in a 5-4 shift respectively, in terms of the gear tooth numbers and the mass moments of inertia of the involved parts.


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