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!