Calculation Steady State Speed of Electric Vechicle
AIM:
1. To study the power converters used in vehicle.
2. To calculate the steady state speed of Electric Vehicle.
3. To Study the Induction motor and brushless motor.
KEYWORDS: Power converter, Inverter, Duty cycle, Electric vehicle, Induction motor, Brushless motor.
SOFTWARE: Matlab
OBJECTIVE:
1. Study about power converters used in EV and HEV.
2. Calculating the steady state speed of Electric Vehicle for 70% duty cycle by using Vehicle characteristics and Motor characteristics.
3. Conclude Induction motor and brushless motor by author's perspective.
INTRODUCTION:
Study 1:-
Figure-1: Block diagram of Electric vehicle powertrain
The above figure powertrain block consists of DC-DC converter and inverter (DC-AC ). The DC-DC converter is a fixed DC input voltage into variable DC voltage or vice versa. The DC output voltage is controlled by varying of duty cycle.
This electrical device actually changes the voltage (either AC or DC) of an electrical power source. There are two types of voltage converters: step up converters (boost converter) and step down converters (buck converter). The most common use of a converter is to a take relatively low voltage source and step-it-up to high voltage for heavy-duty work in a high power consumption load, but they can also be used in reverse to reduce voltage for a light load source.
In EV, the main source of electric energy from battery to drive the motor. To circulate these energy continously to auxilaries, boost converter are used to increase the voltage with low current. The main features of Boost converter are,
• Continuous input current, eliminates input filter.
• Pulsed output current increases output voltage ripple.
• Output voltage is always greater than input voltage.
Figure-2: Block diagram of Hybrid Electric vehicle powertrain
The above figure powertrain block consists of DC-DC converter, AC-DC converter (Rectifier) and inverter (DC-AC ). The DC-DC converter is a fixed DC input voltage into variable DC voltage or vice versa. In HEV, the main source of electric energy from engine generator to drive the motor, with assistance from battery. To circulate these energy continously to auxilaries, buck converter and boost converter are used to vary the voltage wrt current.
Boost converter
• Continuous input current, eliminates input filter.
• Pulsed output current increases output voltage ripple.
• Output voltage is always greater than input voltage.
Buck converter
• Pulsed input current, requires input filter.
• Continuous output current results in lower output voltage ripple.
• Output voltage is always less than input voltage.
A Rectifier is an electrical device that converts alternating current, which periodically reverses direction, to direct current, which flows in only one direction. The process is known as rectification, since it "straightens" the direction of current. A rectifier converts the whole of the input waveform of alternate current to one of constant polarity or only positive polarity at its output which forms continous current or direct current. This DC obtained from generator which helps to charge the battery.
An Inverter is an electrical device that converts electricity derived from a DC (Direct Current) from battery to motor interms of AC (Alternating Current) that can be used to drive a device or appliance. DC power, from a hybrid battery is fed to the primary winding in a transformer within the inverter housing. Through an electronic switch (thyristor), the direction of the flow of current is continuously and regularly flip-flopped (the electrical charge travels into the primary winding, then abruptly reverses and flows back out). The in/outflow of electricity produces AC current in the transformer's secondary winding circuit. Ultimately, this induced alternating current electricity provides power for an AC load.
Study 2:-
A duty cycle or power cycle is the fraction of one period in which a signal or system is active. Duty cycle is commonly expressed as a percentage or a ratio. A period is the time it takes for a signal to complete an on-and-off cycle. As a formula, a duty cycle (%) may be expressed as:
where,
PW = Pulse width of waveform
T = Time period of one cycle
It commonly defines the acceleration rate and deacceleration rate (Braking) according to the duty cycle ratio. If the ratio becomes 100%, the vehicle is in steady rate. If the ratio becomes 0%, the vehicle is in rest position. The time period can be calculated by chopper frequency, from this we can define the vehicle on and off time.
Code Explanation:
- As per the given data of the vehicle, we can calculate total tractive force from this value obtain the vehicle torque characteristics.
- From the data of motor, we can calculate Motor torque characteristics.
- To calculate the steady state speed, the intersection point from the graph defines the steady state speed of EV in rad/s .
- By theoretical, we can substitute both the torque equation (Tm = Ttr) because at steady speed the torque is equal for both Motor and Vehicle characteristics. Hence, we can calculate the steady state speed of EV.
- The steady state speed of EV is 38.91 rad/s and torque obtained as 32.4 N-m.
#Calculating Steady state speed of Electric Vehicle.
clear all;clc
close all
%Motor constant and flux per pole
Km_Phi = 0.7;
%Armature Resistance
Ra = 0.5;
%Supply Voltage
Es = 72;
%Duty Cycle in Percentage
d = 0.7;
%Calculating Supply voltage for 70% of duty cycle
Es1 = 50.4;
%Angular Velocity in rad/s
w = [0:0.01:50];
%Calculated Vehicle Characteristics
Tv = 24.7+(0.0051.*w.^2);
%Calculated Motor Characteristics
Tm = ((Km_Phi * Es1) / Ra) - (((Km_Phi)^2 / Ra ) * w);
%Tm = 70.56 - (0.98*w);
%Plotting Velocity against Vehicle Characteristics
plot(w,Tv);
xlabel('w (rad/s)')
ylabel('T (N-m)')
title('Steady State Speed of EV')
axis([0 50 0 80])
hold on
%Plotting Velocity against Motor Characteristics
plot(w,Tm);
Calculation:
Converting steady state speed (rad/s) to kmph (Angular velocity to Linear velocity)
Radius of wheel (ra) = 0.2794 m
Speed = ra * w * 3.6
= 0.2794 * 38.91 * 3.6
Speed = 39 kmph
Study 3:-
|
DC BRUSHLESS MOTOR |
INDUCTION MOTOR |
|
Ernst Werner Von Siemens invented this Motor |
Nikola Tesla invented this motor |
|
It consists of 2 permanent magnets to create magnetic field. |
Instead of Magnets consists of Stacked steel lamination with buried peripheral conductors to create magnetic field. |
|
No starting torque is required |
Minimum starting torque is required |
|
It works on fixed frequency utility power and difficult to control. |
It works on Variable Frequency Drive (VFD) and easy to control. |
|
It require an absolute position sensor (Hall effect sensor) |
It requires only a speed sensor |
|
Constant torque can be achieved |
Constant speed can be achieved |
|
The peak point energy efficiency is high |
The peak point energy efficiency is less than DC brushless motor |
|
Controlling the magnetic field is complex in DC brushless motor. |
Controlling the magnetic field is easy. Because no magnets are used. |
|
Due to Magnetic losses, the motor efficiency can reduce. |
The Magnetic losses are less which increases the motor efficiency. |
|
As the motor size grows the magnetic losses increases proportionately and part load efficiency drops. |
As the motor size grows the magnetic losses may or may not vary and part load efficiency improved. |
|
Permanent magnets are expensive and maintenance required is more. |
No magnets is used, maintenance required is less. |
|
Overall cost of the motor is high. |
Overall cost of the motor is low. |
|
Achieving stability over entire torque-speed range and over temperature is easy. |
Achieving stability over entire torque-speed range and over temperature is more difficult. The control laws are more complex and difficult to understand. |
|
It is suitable for low-medium range performance drives. |
It is suitable for high performance drives. |
CONCLUSION: