1.0 Machinery Principles

1.1 Electrical Machine and Transformers (Pg 8)

1.3 The Magnetic Field, B (Pg 22)

1.2 Rotational Motion, Newton's Law and Power Relationships (Pg 14)

1.4 Faraday's Law (Pg 42)

1.6 Induced Voltage on a Conductor Moving in a Magnetic Field (Pg 51)

1.5 Induced Force on a Wire (Pg 48)

变形电锯(1.1)启动旋转,有能量, 他是牛顿(1.2)

牛顿吸引装备变钢铁侠(1.3),他是father爹(1.4)

钢铁侠产生巨大力量(1.5)和高电压(1.6)

电锯(形状) = 6 个point

Electrical Machine

Transformers

Generator

Motor

Prime mover

mechanical energy to electric energy

Electrical energy to mechanical energy

Action of a magnetic action

Water turbine

Diesel engine

Steam

Convert AC electrical energy

from one voltage level to another voltage level

minimal losses

High voltage, reduce transmission losses

Newton's Law of Rotation

Power

Rotational motion

Construction

Stator

Shaft

Rotor

restricted to one angular dimension

CW = -ve angle

CCW = +ve angle

Angular Velocity, ω (rad/s)

Angular Acceleration, a (rad/s^2)

Angular Position, θ (radians or degrees)

Torque, T (Nm)

ω = dθ/dt

a = dω/dt

T = (F)(r sinθ)

Force (linear)

Torque (rotational)

T = Ja

F = ma

J = the moment of inertia (kgm^2)

P = dW/dt

W = Fr

W = 𝜏θ

linear

rotational

Principles

Hand

Formula

Ferromagnetic Materials

Transformer Action

Motor Action

Electromagnetic Action

Generator Action

Right Hand Grip Rule

Fleming's Rule

Ampere's = direction of thumb is I, rotation is B

Direction of thumb is north pole (N), rotation is I

Left-hand rule

Right-hand rule

Motor (I is supplied)

Generator (I is generated)

FBI(手指)做莫(左motor)又贱(右generator)

B = μH

Φ = BA

H x lc = Ni

Ni is magnetomotive force, lc is mean path length

B is magnetic flux density (T or wb/m^2)

H is magnetic field intensity (Ampere-Turns/meter),

Magnetic Circuit

μ is magnetic permeability of material (H/m)

μ0 is permeability of free space = 4pi x 10^-7 H/m

A is plane of area

Φ = BA = (μNiA) / lc = Ni (μA / lc) = Ni / R

Ni is magnetomotive force

R is reluctance of circuit = lc / μA

Hysteresis Loop

Amount of flux not only depend on the amount of current applied to the winding

Φ is total flux (Tm^2 or Wb)

变形(Transformer)电锯(EM)

头发飘逸,外貌(Construction)很帅的牛顿(Newton)拿着旋转(Rotational)能量(Power)电锯,锯苹果树

钢铁侠(Ferro...)原理(principle)就是用手(hand)写方程式(formula)

Formula

Eddy current

Definition

flux passes through a turn of a coil a wire, voltage or electromotive force (emf) will be induced in turn of wire

e(ind) is directly proportional to the rate of change in the flux with respect to time

Ideal case (same flux each turn of coil)

flux leaking out

e(ind) = -dΦ/dt = -N(dΦ/dt)

e(ind) = dλ/dt

λ = ΣΦi , summation from i=1 to N

Definition

Eddy current loss

an electric current induced by an alternating magnetic field

eddy current flow circumferential direction

it generates its own magnetic field which counteracts the magnetic field of the coil

the self induction is low and the current consumption high in AC

Len's law applies to self inductance

negative sign = Len's law is stated that the magnetic field created by the induced current opposes the initial changing magnetic field which produced it

Definition

Formula (power equation)

effect

Methods of reducing

An eddy current of magnitude flow through a core path of resistance, it will dissipate energy in the form of heat according to the power equation

P = I^2 x R

eddy current loss also increases the temperature of the magnitude material

Lamination

High resistance magnetic material

by splitting the solid core as thin sheets in the plane parallel to the magnetic field

such as silicon steel

Each lamination is insulated from the other by a thin layer of coating of varnish or oxide film

Application

Induction heating

Braking of trains

father (faraday) and aunty (eddy)

Hand

Formula

Definition

Motor

An electric current in a magnetic field experiences a magnetic force perpendicular to both the direction of the current and the direction of the magnetic field.

Fleming's Left-Hand Rule

F = Bi Lsinθ

F = magnitude of the force

B = magnetic flux density vector (T)

i = magnitude of current in wire (A)

L = length of wire (m)

θ = angle between the wire and the flux density vector (degree)

Generator

Hand

Formula

Definition

If a wire with the proper orientation moves through a magnetic field, a voltage is induced in it.

Fleming's Right-Hand Rule

e(ind) = (v x B).L

e(ind) = (vBsin α). Lcos β

v = velocity of conductor (m/s)

B = magnetic flux density vector (T)

L = length of conductor (m)

α = angle between v and B

β = angle between wire and vector v x B

F1(formula)

钢铁侠手高电压(Hand)

Motor和Generator分支一样,所以直接两边图像结合

凤梨切成4分(4pi)被鸡捡去吃(-7)