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**Electrical Theory I - The Basics**

Let there be light….

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**Introduction Basic Terminology Ohm’s Law**

Kirchhoff’s Laws & Applications Basic Circuit Analysis Transformers & Rectifiers

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**How is Electricity Produced?**

Friction: “static electricity” from rubbing (walking across a carpet) Pressure: piezoelectricity from squeezing crystals together (quartz watch) Heat: voltage produced at junction of dissimilar metals (thermocouple) Light: voltage produced from light striking photocell (solar power) Chemical: voltage produced from chemical reaction (wet or dry cell battery) Magnetism: voltage produced using electromotive induction (AC or DC generator).

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**Basic Terminology Electromotive Force (E or V)**

Force which causes electrons to move from one location to another Known as emf, potential difference, or voltage Unit is volt (V) Source: Generator Battery Like pump that moves water through “pressure”

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**Basic Terminology Current (I)**

Flow of electric charges - electrons (or holes) - through a conductor or circuit per increment of time Unit is ampere (number of charged particles passing a point each second) 1 amp = 1 coulomb/sec = 6x1018 electrons/sec Like rate of flow of water through a pipe

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**Basic Terminology Resistance (R) Conductor**

An electrical circuit’s opposition to the flow of current through it Measured in ohms (W) Conductor All materials will conduct electricity, but at varying resistances Good conductors have little resistance (ie: silver, copper, aluminum, iron)

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**Basic Terminology Insulator Power (P)**

Substances which offer high resistance to current flow (ie: wood, rubber, plastics) Circuits made of wires covered with insulator Power (P) Rate at which work is performed Measured in watts (W)

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**Ohm’s Law & Applications**

Law: current of a circuit is directly proportional to the applied voltage and inversely proportional to circuit resistance I a V, I a 1/R V =IR Power P = VI P = (IR)I = I2R

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**Kirchhoff’s Laws Kirchhoff’s Current Law (KCL)**

A node is any junction in a circuit where two or more elements meet Currents into a node sum to zero OR Current entering a junction is equivalent to the current leaving a junction

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**Kirchhoff’s Laws Kirchhoff’s Voltage Law (KVL)**

A loop is any path in a circuit that current can take so that it meets back up to where it starts Voltages around a CLOSED loop sum to zero

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**Applications Resistors in Series Resistors in Parallel**

RT = R1 + R2 + R Resistors in Parallel 1/RT = 1/R1 + 1/R2 + 1/R Examples: should be able to find total current flow in circuit, current flow through each resistor, voltages, power dissipated, etc.

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Questions?

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**Electrical Theory II – The Applications**

Harnessing the Power…

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**Power Generation Chemical Cells Magnetism Electrodes Electrolyte**

Conductor Wet/Dry Batteries Magnetism

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**Electromagnetic Induction**

Faraday (1831): Showed that an emf is induced in a conductor if a magnet passes by a conductor When pole of magnet entered coil, current flowed in one direction When direction of magnet reversed, current flowed in opposite direction

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**Electromagnetic Induction**

Magnitude of induced current can be increased by: Increasing strength of magnetic field Increasing speed of relative motion Positioning of field & conductor to increase number of magnetic lines of flux cut Magnetic field usually produced by electromagnet

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**Electromagnet Soft iron core wound with coils of wire**

When current present (excitation current), core becomes magnetized Field strength determined by number of turns and magnitude of current: B a NIDC

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**Electromagnetic Induction**

Results in: Generator action: generator converts mechanical to electrical energy Motor action: motor converts electrical to mechanical energy

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**Generator Action For emf/current (electricity):**

Magnetic Field Conductor Relative Motion b/t the two Voltage produced: “induced emf/voltage” Current produced: “induced current” Left-hand rule for generator action

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**Motor Action For motor action (torque/motion):**

Magnetic Field Conductor Current flow in conductor Torque produced: “induced torque” Right-hand rule for motor action

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Standard Terminology Stator: stationary housing of the generator or motor Rotor: rotating shaft inside the stator Field windings: conductors used to produce electromagnetic field Armature windings: conductors in which output voltage is produced (or input is provided)

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**Basic Terminology Direct Current (DC) Alternating Current (AC)**

Current flow is unidirectional and of constant magnitude (battery) Alternating Current (AC) Magnitude & direction of current flow periodically change Each sequence called a cycle Frequency is cycles per second (Hz)

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**AC Generators Most electrical power used is AC made by AC generators**

Basic principle: rotating magnetic field “cutting through” a conductor Regardless of size, all AC generators work on same principle Two types: Revolving armature (NOT used) Revolving field (Used in SSTG’s, GTGS, DG)

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**AC Generators Two types: Revolving armature (NOT used)**

Revolving field (Used in SSTG’s, GTGS, DG)

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**AC Generators Armature windings on stator Field windings on rotor**

DC current provided for field via slip rings and brushes (vice commutator rings) Rotor turned by prime mover creates rotating magnetic field Armature windings on stator As field rotates, AC current produced in armature Since stationary contacts, no arc-over

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**AC Generators Determining speed of AC machine:**

f = P(RPM)/ RPM = 120f/P Must maintain constant 60Hz output use speed governor to maintain constant RPM (independent of loading) Must also regulate voltage output Since constant RPM, must control field excitation (DC current) to control output voltage

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**Three Phase (3f) AC Power**

Phases: number of sets of armature windings on stator 3f has three sets of armature windings Voltage induced is 120o out of phase for each Output: 3 sinusoidal voltages and currents Allows more power to be delivered with a smaller design generator

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**Three Phase (3f) AC Power**

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**AC Motors Use AC current as input to produce work**

Many different types depending on number of phases of AC input & construction Ex: induction motor Input AC current on stator produces rotating field Current produced in conductors on rotor produces torque

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DC Generators Basic Principle: rotate a conductor within a magnetic field to induce an EMF Field windings located on stator & receive current from outside source

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**DC Generators Armature windings on rotor**

Commutator rings used to mechanically reverse the armature coil connection to the external circuit EMF developed across the brushes becomes a DC voltage/current (pulsating and unidirectional)

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**DC Motors Essentially the same in construction as DC generator**

Based on principle that current carrying conductor placed at a right angle to a magnetic field tends to move in a direction perpendicular to magnetic lines of flux Only need to change relative voltage to go between generator motor

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**AC vs DC power Many different voltages required on board ship**

Easier to transform AC power for each application

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**Electrical Devices Transformer**

Device w/o moving parts that transfers energy from one circuit to another by electromagnetic induction Consists of ferromagnetic core & sets of windings Step-up: Vin Vout Step-down: Vin Vout Only works with AC

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**Electrical Devices Rectifier Converts AC DC**

Designed to have small resistance to current flow in one direction & large resistance in opposite direction Typically called a diode or rectifier

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Questions?

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