Electric and Hybrid Drive Systems homework

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SummaryOfTopics2019.docx

ECE 4/5630 Electric & Hybrid Drive Systems Prof Ka C Cheok

SUMMARY

Background

Math

Electrical & Electronics

Mechanical motions

Controls

Matlab, Simulink, Simscape

How to access, get help and view tutorials

Matlab m-script and toolboxes

Simulink model and blocksets

Simscape models and physical model libraries

Climate & Energy

Global Warming

How real is this threat?

What are the evidence?

What are the consequences?

Sources of Energy

Solar Energy

The standard solar panel has an input rate of around 1000 Watts per square meter, however on the solar panels available at present you will only gain roughly 15-20% efficiency at best. Therefore if your solar panel was 1 square meter in size, then it would likely only produce around 150-200W in good sunlight.

Solar electricity, solar car

Solar cooker, solar water heater

Alternative Vehicles

Ch1 Alternative  Vehicles

· Energy Efficiencies

· Electric Vehicle (EV)

· Hybrid Electric Vehicle (HEV)

· Plugin Hybrid Electric Vehicle (PHEV)

· Hybrid Vehicles. Are they worth it? User testimonial. Video  go to 6:30

· Know Your Toyota Mechanical: Hybrid Synergy Drive  commercial overview   Video 4 mins

Power Split Device

· Planetary gears

· Parallel PSD – Toyota Prius

· Serial PSD – Hyundai Sonata Hybrid

Simple Vehicle Dynamics

Longitudinal motion

Quarter-car model

Vehicle acceleration and forces

Normal reaction forces

Gradient/slope forces

Air drag and head wind forces

Tire rolling forces

Road profile

Fixed and tangential velocities:

Variables

horizontal displacement & velocity with respect to the fixed frame

& elevation/height & gradient of road profile as a function of .

incline angle of road file as a function of .

tangential displacement and velocity w.r.t to road profile

tractive force that propels the vehicle forward and tangential to the road

gravitational force due to gradient or incline of road

air drag force due to air resistance and headwind

force to be overcome due to deflected tire and when the tire rolls up an incline

velocity of head wind tangential to road profile

horizontal displacement of front & rear wheel axles w.r.t the fixed frame

Normal reaction forces at front & rear wheel contact with the ground

Parameters, value, unit and definition

effective combined mass of the vehicle

radius of wheel

static rolling resistance coefficient

dynamic rolling resistance coefficient

aerodynamic drag coefficient

equivalent frontal area of the vehicle,

head wind velocity

gravity constant

= 1.2754 [kg/m3] air density.

displacement from vehicle center of gravity to front wheel axle

displacement from vehicle center of gravity to rear wheel axle

displacement from vehicle center of gravity to rear wheel axle

Pre-compute

The Universe & its Mysterious Forces

Factors of 10 & logarithmic scale

Power of math

The Universe

How long has it been around? 15 billion years

How big is it? 1.4x1026 m radius

How small is it? Quarks. 1x10-15 m radius

Light

Speed of light in vacuum = 299 792 458 m/s = 9.8357e+08 ft/s. I.e., 0.98 feet per nanosecond.

Speed of sound in dry air at 20 °C = 343 m/s = 1,122 ft/s. I.e., 1.122 feet per millisecond.

Interacting Forces of the Universe

Strong nuclear forces

Weak nuclear forces

Electromagnetic forces

Gravitational forces

Electromagnetic Force and Electromechanical Force

Maxwell equations

Ampere’s law twisted pair wires

Faraday’s law right hand rule: emf = thumb, conductor velocity = 1st finger , mag field = middle finger

Lorentz’s law right hand rule: mech force = thumb, current = 1st finger , mag field = middle finger

Ohm’s law

Newton’s law

Electrical Circuit Analysis

Laplace transform

Resistance, reactance, impedance

Resistors, inductance, capacitance

Kirchoff voltage law, Kirchoff current law

Thevenin’s equivalence, Norton’s equivalence

Electromagnet brakes

Magnet falling in copper tube

Magnetic brake for rides,

Magnetic disc brake

COMSOL MultiPhysics

DC Motor

Permanent Magnet & Brushed Commutator

Separately Excited DC Motor

The steady state relationshop is based on when the vehicle is not accelerating can be used. It provides us a scheme for choosing such that a minimal VA is used to drive the car. (Note that this is not the only way!)

Field circuit at steady state

\

Simple Brushless Motor

Outrunner brushless

Three-Phase Stators with Sinusoidal Distributed Winding

Effective Field Current

We actuate the field currents by specifying the field voltage

.

3-phase voltages & currents space vector voltages & currents

AC Permanent Magnet Synchronous Machine (PMSM)

When the AC machine has uniform sinusoidal excitation (e.g., 3-phase Va, Vb and Vc), the stator fields rotates with a speed , which is also referred to as the synchronous speed. The PM rotor will be acted by the electromechanically generated torque .

Effective Torque

Variables:

Parameters:

Rotor and Mechanical Load, and External Torque.

The torque will attempt to rotate the rotor plus any load that’s attached to the rotor, like this.

-

Back EMF

When the rotor starts to move, it will induce a back emf (because Faraday says so!).

Faraday’s law:

Let be the radius of the rotor. The rotating speed of rotor is . Hence, the linear speed . Therefore,

Question: What would the magnetic flux densities ,, be? Find the equations that describe these variables.

Field Oriented Control (FOC) Brushless DC (BLDC) Motor

( Space Vector Current/Field Inverse Clarke Transform PWM+ Three P hase Inverter Circuit Y-Stator circuit Hardware Software - Hardware Measurements & Inputs )

Clarke transform, Inverse Clarke, Park transform, Inverse Park transform. d-q components.

AC INDUCTION MOTOR

_

_

Block 1B

Block 1A

Block 1C

Block 1D

Block 2A

Block 2B

Block 3A

Block 3B

Block 4

Block 5A

Block 5B

Stator & Rotor Fields

Basic Hardware + Software Integration

( Space Vector Current/Field Inverse Clarke Transform PWM+ Three Phase Inverter Circuit Y-Stator circuit Hardware Software - Hardware Measurements & )

Measure currents: , &

Compute effective stator field current

Measure rotor angle which is aligned with the rotor magnet (magnetic field)

Compute projection of onto the rotor magnetic field vector as components

Stator field

Rotor field

Use the computed as feedback variables

Desired to be perpendicular to

Rotor field

Numerical example: If , & , what would be? If, what would be?

1 Control of BLDC Motor

Dynamic Analysis

System Parameter Estimation

Control Schemes

Variable Reluctance Motors

Stepper Motors

Servo Motors

Has closed-loop position control or closed-loop speed contol

Power Electronics Converters

Combination of Discrete Components

· Diodes

· Resistors

· Inductors

· Capacitors

· Transistors

· Bipolar junction transistor (BJT)

· Metal-oxide-semiconductor field-effect transistor (MOSFET)

· Insulated gated bipolar transistor (IGBT)

· Silicon controlled rectifier (SCR), Thyristors

DC-DC Converters

· Buck converter E.g. 12 Vdc to 5 Vdc

· Boost converter E.g., 12 Vdc to 100 Vdc

· Buck-boost converter

Switching circuits

· Efficiency of on-off switching

· PWM

Bidirectional Two-Quadrant Chopper

DC Motor Drive

We can drive a DC motor with Semiconductor H-Bridges, using Bipolar Junction Transistors (BJTs), Field Effect Transistors (FETs) or Insulated-Gate Bipolar Transistors (IGBTs).

Diagram 7

Diagram 7 Diagram 7 Diagram 7

Forward Reverse Brake

Diagram 7 Diagram 7 Diagram 7

Brake Fuse Test (only if warranted) Fuse Test (only if warranted)

If you turn on the two upper circuits, the motor resists turning, so you effectively have a breaking mechanism. The same is true if you turn on both of the lower circuits. This is because the motor is a generator and when it turns it generates a voltage. If the terminals of the motor are connected (shorted), then the voltage generated counteracts the motors freedom to turn. It is as if you are applying a similar but opposite voltage to the one generated by the motor being turned. Vis-ã-vis, it acts like a brake.

To be nice to your transistors, you should add diodes to catch the back voltage that is generated by the motor's coil when the power is switched on and off. This flyback voltage can be many times higher than the supply voltage! If you don't use diodes, you could burn out your transistors.

Transistors, being a semiconductor device, will have some resistance, which causes them to get hot when conducting much current. This is called not being able to sink or source very much power, i.e.: Not able to provide much current from ground or from plus voltage.

Mosfets are much more efficient, they can provide much more current and not get as hot. They usually have the flyback diodes built in so you don't need the diodes anymore. This helps guard against flyback voltage frying your MCU.

To use Mosfets in an H-Bridge, you need P-Channel Mosfets on top because they can "source" power, and N-Channel Mosfets on the bottom because then can "sink" power. N-Channel Mosfets are much cheaper than P-Channel Mosfets, but N-Channel Mosfets used to source power require about 7 volts more than the supply voltage, to turn on. As a result, some people manage to use N-Channel Mosfets, on top of the H-Bridge, by using cleaver circuits to overcome the breakdown voltage.

It is important that the four quadrants of the H-Bridgecircuits be turned on and off properly. When there is a path between the positive and ground side of the H-Bridge, other than through the motor, a condition exists called "shoot through". This is basically a direct short of the power supply and can cause semiconductors to become ballistic, in circuits with large currents flowing. There are H-bridge chips available that are much easier, and safer, to use than designing your own H-Bridge circuit.

H-Bridge Devices The L293 has 2 H-Bridges, can provide about 1 amp to each and occasional peak loads to 2 amps. Motors typically controlled with this controller are near the size of a 35 mm film plastic canister. The L298 has 2 h-bridges on board, can handle 1amp and peak current draws to about 3amps. You often see motors between the size a of 35 mm film plastic canister and a coke can, driven by this type H-Bridge. The LMD18200 has one h-bridge on board, can handle about 2 or 3 amps and can handle a peak of about 6 amps. This H-Bridge chip can usually handle an average motor about the size of a coke. There are several more commercially designed H-Bridge chips as well.

Simple BLDC Speed Motor Drive

The fan motors in PC’s are simple brushless dc motors. Significantly more efficient and less maintenance.

Principle of operation

1. Electronically switch on a field coil (e.g. coil A shown)

2. Rotor rotates towards coil A

3. Optical sensor shuts of coil (A) and turns on the next field coil (say B)

4. Rotor rotates towards coil B

5. Process repeats for Coil C and so on.

Notes:

6. Speed is controlled by amplitude of current in coil

7. Direction can be reversed by reversing the currents (not represented in this diagram)

A driver module can be built or purchased

Six-Step Operation in BLDC Motor Drive

Discuss what happens when we switch on the states according to this scheme: Turn on when is here

Which direction will the motor move?

a) Clockwise

b) Counterclockwise

Space Vector Modulation for BLDC Motor Drive

SVM uses a six-step operation with careful timing schedule to implement a voltage/current field in the stator. The SVM concept is straight forward: There are 6 sectors as shown. We have 8 vectors that we can turn on full blast one at a time. We will only turn on two nonzero vectors as needed.

Say you have to generate these desired voltage field vector such as the ones shown here for each 1 ms period.

0 1 ms 2ms

The SVM will calculate 4 time segments in each period and use two nearest nontrivial vectors to implement the desired field.

0 1 ms 2ms

Numerical example: Suppose that . Find the SVM for that last Ts = 1 ms.

1)

Find angle of : .

2)

Find the sector that is in: Sector = ceil = 3.

3)

We will be using

4)

To produce equivalent field effect, we would like to have

5) The procedure for applying the SVM is as follows:

0.28169 ms 0.2732 ms 0.1634 ms 0.28169 ms

Ts = Ta +Tb + 2T0

PWM for BLDC Motor Drive

Desired field voltage in the stator:

PWM1 = fcn(va)

PWM2 = fcn(vb)

PWM3 = fcn(vc)

Numerical example: Suppose that . Find the PWM for that last Ts = 1 ms.

Since and Ts = 1 ms, we would pulse width modulate with a 100kHz pulse rate, and following duty cycles.

PWM2 = fcn(vb) = 5.3093/10% = 53.1%

1 ms

1 ms

PWM3 = fcn(vc) = 0.6907/10% = 6.91%

1 ms

PWM1 = fcn(va)

= 0/10% = 0.0%

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630

Electric

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Prof Ka C Cheok

SummaryOfTopics 2019.docx

1

June 18, 2019

SUMMAR

Y

1

Backgr

ound

1.1

Math

1.2

Electrical

& Electronics

1.3

Mechanical

motions

1.4

Controls

2

Matlab, Simulink, Simscape

2.1

How to access, get help and view tutorials

2.2

Matlab m

-

script

and toolboxes

2.3

Simulink model

and blocksets

2.4

Simscape models and

physica

l model

libraries

3

C

l

imate & Energy

3.1

Global Warming

How real is this threat?

What are the evidence?

What are the consequences?

3.2

Sources of Energy

ECE 4/5630 Electric & Hybrid Drive Systems Prof Ka C Cheok

SummaryOfTopics 2019.docx 1 June 18, 2019

SUMMARY

1 Background

1.1 Math

1.2 Electrical & Electronics

1.3 Mechanical motions

1.4 Controls

2 Matlab, Simulink, Simscape

2.1 How to access, get help and view tutorials

2.2 Matlab m-script and toolboxes

2.3 Simulink model and blocksets

2.4 Simscape models and physical model libraries

3 Climate & Energy

3.1 Global Warming

How real is this threat?

What are the evidence?

What are the consequences?

3.2 Sources of Energy