Electric_Vehicle_Case_Study_Presentation

General Business Analyzing Key Performance Metrics

Presented by: Feroo Singh GangwarInstitution/Organization: CNH Industrial India Pvt. Ltd.Electric Vehicle Case Study

Introduction

  • Objective:

    • To evaluate the performance of various components in an EV system using calculated parameters.

  • Scope:

    • Operating Speed of the Rotor

    • Electromotive Force

    • Rolling Resistance, Aerodynamic Drag, and Gradient Force

Problem Statement

  • Role:

    • Engineer in the EV industry responsible for calculating critical parameters to gauge the effectiveness of components in the electric vehicle system.

  • Focus Area:

    • Mechanical and Electrical Performance

    • Efficiency Metrics

Tasks Overview

  • Rotor Speed and Frequency Calculations

  • Hall Voltage Due to Hall Effect

  • Electromotive Force in a DC Motor

  • Torque Calculations for Induction and Switched Reluctance Motors

  • Resistance, Drag, and Gradient Forces

Operating Speed of the Rotor

  • Given:

    • Synchronous Speed = 1500 rpm

    • Slip Speed = 50 rpm

  • Formula:

    • Operating Speed = Synchronous Speed - Slip Speed

  • Calculation:

    • Operating Speed = 1500 - 50 = 1450 rpm

Frequency of Rotor

  • Given:

    • Fractional Slip (s) = 0.03

    • Supply Frequency (fs) = 50 Hz

  • Formula:

    • Rotor Frequency = Fractional Slip × Supply Frequency

  • Calculation:

    • Rotor Frequency = 0.03 × 50 = 1.5 Hz

Hall Voltage (V_H) Generated Due to Hall Effect

  • Given:

    • Drift Velocity = 0.1 m/s

    • Magnetic Field = 0.5 T

  • Formula:

    • V_H = Drift Velocity × Magnetic Field

  • Calculation:

    • V_H = 0.1 × 0.5 = 0.05 V

Electromotive Force (E_b)

  • Given:

    • Poles (P) = 4

    • Magnetic Flux (φ) = 0.02 Wb

    • Speed (N) = 1500 rpm

    • Conductors (Z) = 100

    • Parallel Paths (A) = 2

  • Formula:

    • E_b = (P × N × φ × Z) / (60 × A)

  • Calculation:

    • E_b = (4 × 1500 × 0.02 × 100) / (60 × 2) = 100 V

Torque of Three-Phase Induction Motor

  • Given:

    • Flux (φ) = 0.03 Wb

    • Rotor Current (Ir) = 10 A

    • Angle (θ) = 30°

    • Constant (k) = 0.5

  • Formula:

    • T = k × φ × Ir × sin(θ)

  • Calculation:

    • T = 0.5 × 0.03 × 10 × sin(30°) = 0.075 Nm

Rolling Resistance Force (Frr)

  • Given:

    • Coefficient of Friction (μ) = 0.02

    • Mass (m) = 1200 kg

    • Gravity (g) = 9.8 m/s²

    • Inclination Angle (θ) = 4°

  • Formula:

    • Frr = μ × m × g × cos(θ)

  • Calculation:

    • Frr = 0.02 × 1200 × 9.8 × cos(4°) = 234.627 N

Aerodynamic Drag Force (Fad)

  • Given:

    • Air Density (ρ) = 1.2 kg/m³

    • Frontal Area (A) = 5 m²

    • Drag Coefficient (Cd) = 0.3

    • Speed (v) = 30 m/s

  • Formula:

    • Fad = (1/2) × ρ × A × Cd × v²

  • Calculation:

    • Fad = (1/2) × 1.2 × 5 × 0.3 × 30² = 810 N

Gradient Force (Fgr)

  • Given:

    • Mass (m) = 2000 kg

    • Gravity (g) = 9.8 m/s²

    • Inclination Angle (θ) = 5°

  • Formula:

    • Fgr = m × g × sin(θ)

  • Calculation:

    • Fgr = 2000 × 9.8 × sin(5°) = 1708 N

Total Tractive Force (Ftt)

  • Given:

    • Rolling Resistance Force (Frr) = 200 N

    • Aerodynamic Drag Force (Fad) = 120 N

    • Gradient Force (Fgr) = 80 N

  • Formula:

    • Ftt = Frr + Fad + Fgr

  • Calculation:

    • Ftt = 200 + 120 + 80 = 400 N

Torque Exerted by the Motor (Tm)

  • Given:

    • Total Tractive Effort (Ftt) = 500 N

    • Rolling Radius (r) = 0.3 m

    • Gear Ratio (G) = 4

  • Formula:

    • Tm = (Ftt × r) / G

  • Calculation:

    • Tm = (500 × 0.3) / 4 = 37.5 Nm

Summary of Results

Parameters

Result

Operating Speed of the Rotor

1450 RPM

Frequency of Rotor

1.5 Hz

Hall Voltage (V_H) Generated Due to Hall Effect

0.05V

Electromotive Force (E_b)

100 V

Torque of Three-Phase Induction Motor

0.075 Nm

Rolling Resistance Force (Frr)

234.627 N

Aerodynamic Drag Force (Fad)

810 N

Gradient Force (Fgr)

1708 N

Total Tractive Force (Ftt)

400 N

Torque Exerted by the Motor (Tm)

37.5 Nm

Key Learnings

  • Importance of component efficiency in EVs

  • Role of calculations in optimizing performance

  • Implications for EV design and manufacturing

Questions and Discussions

  • Feel free to ask questions or share your thoughts!