describes one element or device in a load, line, or source. It is simply a "branch" of the
circuit..
Line
refers to the "transmission line" or wires that connect the source (supply) to the load.
Neutral
the 4th wire in the 3-phase system. It's where the phases of a Wye connection come together.
Phase Voltages & Phase Currents
The voltages and currents across and through a single branch (phase) of the circuit.
Line Currents
The currents flowing in each of the lines (Ia, Ib, and Ic).
Line Voltages
The voltages between any two of the lines (Vab, Vbc, and Vca). These may also be referred to
as the line-to-line voltages.
Line to Neutral Voltages
The voltages between any lines and the neutral point (Va, Vb, and Vc). .
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Wye and Delta Connections
Each coils has two ends: a start and an end.
For a 3 phase system this means there is a need for six conductors
In order to reduce the conductor loses, it is essential to reduce the number conductors .
This is achieved by connecting the coils, or phases , in either of two forms.
These are called Wye and Delta connections.
Wye (Y or Star) Connection
The ends of the three phases are connected together to form the neutral while the other ends ( or
terminals form the line connections.
Delta ( or Δ ) Connection
The end of one phase is connected to the start of another phase to form a closed loop referred to as
delta connection.
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Real Power
P =V I *cos(θ )
Units are Watt
Reactive Power
Q =V I *sin(θ )
The apparent power
S = V * I = P2 + Q2
For convenience of writing, the absolute simple will be dropped. Equation 3 is the written as
S = V * I
Power Factor
pf = cos(θ )
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Lorentz Force
– The force on a moving charge in a magnetic field is proportional
to the charge, velocity, and magnetic field strength.
Faraday’s Law
– Currents can be induced in wires by changing magnetic fields.
Lenz’s Law
– The induced currents in a conductor are in such a direction as to
oppose the change in magnetic field that produces them
Ampere’s Law
– The line integral of the magnetic field intensity around a closed
path is equal to the algebraic sum of the currents flowing through
the area enclosed by the path.
Faraday’s law:
A time-varying magnetic field induces an electromotive force that produces a current in a closed
circuit. This current flows in a direction such that it produces a magnetic field that tends to
oppose the changing magnetic flux of the original time varying field.
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Eddy Current Loss
The other type of losses, that occurs in magnetic circuits, is the eddy current loss.
Time varying magnetic field induces eddy currents in conducting material
- Eddy currents occur when AC voltages are induced in a conductor by a changing magnetic
field
- Eddy currents dissipate power as resistive losses in the conductor
- To reduce eddy current losses, magnetic materials are laminated (for a given core size, eddy
current losses decrease in proportion to the square of the number of laminations).
What is a transformer?
– A device for increasing or decreasing an AC voltage
– Power Transformers, TV sets to provide High Voltage to picture tubes,
portable electronic device converters, transformers on the pole, etc. are few
examples
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Basic Components of Transformers
A transformer consists of two coils electrically separate but linked by a common magnetic circuit of
low reluctance formed by a laminated soft iron core. If one coil (the primary coil) is connected to an
AC supply, an alternating magnetic flux is set up in the iron core.
This alternating magnetic flux passes through the secondary coil and induces and alternating voltage
in the secondary coil.
The magnitude of the secondary voltage is directly proportional to the ratio of the number of turns in
the secondary and primary windings and to the primary voltage.
How do transformers work?
– A changing current through a coil of wire can create a changing magnetic
field.
– Currents can be induced in other wires by these changing magnetic field.
– Therefore, the primary coil current must have AC.
– The iron core of the transformer is not required but it does increases the
efficiency a great deal.
Theory of the Transformer
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The operation of a transformer is based on two principles:
• 1. A voltage is induced in a conductor when the conductor passes through a magnetic
field. The same effect is produced if the conductor is stationary but the magnetic field
in which it is located varies; and
• 2. A current passing through a conductor will develop a magnetic field around the
conductor.
• Note: In this discussion on transformers, the term magnetic "flux" will usually be used
instead of magnetic "field".
• A magnetic field is the space or region surrounding a magnet or a current carrying
conductor, in which magnetic effects can be detected.
• The strength of the magnetic field is generally expressed in terms of magnetic flux
density (magnetic flux per square meter). Magnetic flux refers to the magnetic lines of
force
Autotransformer
• Another type of transformer is known as the autotransformer.
• It consists of a single tapped primary where the center tap is common
to both primary and secondary (not isolated).
• some of the turns on the coil are used for the primary and some are
used for the secondary.
• an example of a variable autotransformer is known as a variac.
• A variac is a single coil with a sweeping arm for the center common,
this allows the ratio of primary turns:secondary turns to be altered
easily.
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Current Transformer
• Yet another type of transformer is the current transformer.
• Central to all of the AC power transducers is the measurement of
current.
• This is accomplished using a current transformer (CT), a "donut"
(toroidal) shaped core through which is threaded the wire whose
current is to be measured.
• Current transformers are designed to produce either an alternating
current or alternating voltage proportional to the current being
measured.
Potential Transformer
• Potential transformers are used by the electrical industry for smaller power applications and metering.
• They are a step-down transformer and range in wattage.
• This is a common Westinghouse 1500V 12,000V transformer.
Alternating Current (AC)
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An electric current that reverses its direction many times a second at regular intervals.
Ammeter
An instrument for measuring the flow of electrical current in amperes. Ammeters are always connected in series with the circuit to be tested.
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Ampacity
The maximum amount of electric current a conductor or device can carry before sustaining immediate or progressive deterioration.
Ampere-Hour (Ah)
A unit of measure for battery capacity. It is obtained by multiplying the current (in amperes) by the time (in hours) during which current flows. For example, a battery which provides 5 amperes for 20 hours is said to deliver 100 ampere - hours.
Ampere (A)
A unit of measure for the intensity of an electric current flowing in a circuit. One ampere is equal to a current flow of one coulomb per second.
Apparent Power
Measured in volt-ampers (VA). Apparent power is the product of the rms voltage and the rms current.
Armature
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The movable part of a generator or motor. It is made up of conductors which rotate through a magnetic field to provide voltage or force by electromagnetic induction. The pivoted points in generator regulators are also called armatures.
Capacitance
The ability of a body to store an electrical charge. Measured in farads as the ratio of the electric charge of the object (Q, measured in coulombs) to the voltage across the object (V, measured in volts).
Capacitor
A device used to store an electric charge, consisting of one or more pairs of conductors separated by an insulator. Commonly used for filtering out voltage spikes.
Circuit
A closed path in which electrons from a voltage or current source flow. Circuits can be in series, parallel, or in any combination of the two.
Circuit Breaker
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An automatic device for stopping the flow of current in an electric circuit. To restore service, the circuit breaker must be reset (closed) after correcting the cause of the overload or failure. Circuit breakers are used in conjunction with protective relays to protect circuits from faults.
Conductor
Any material where electric current can flow freely. Conductive materials, such as metals, have a relatively low resistance. Copper and aluminum wire are the most common conductors.
Corona
A corona discharge is an electrical discharge brought on by the ionization of a fluid such as air surrounding a conductor that is electrically charged. Spontaneous corona discharges occur naturally in high-voltage systems unless care is taken to limit the electric field strength.
Current (I)
The flow of an electric charge through a conductor. An electric current can be compared to the flow of water in a pipe. Measured in amperes.
Cycle
The change in an alternating electrical sine wave from zero to a positive peak to zero to a negative peak and back to zero.
Demand
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The average value of power or related quantity over a specified period of time.
Dielectric constant
A quantity measuring the ability of a substance to store electrical energy in an electric field.
Dielectric strength
The maximum electric field that a pure material can withstand under ideal conditions without breaking down (i.e., without experiencing failure of its insulating properties).
Diode
A semiconductor device with two terminals, typically allowing the flow of current in one direction only. Diodes allow current to flow when the anode is positive in relation to the cathode.
Direct Current (DC)
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An electric current that flows in only one direction.
Electrolyte
Any substance which, in solution, is dissociated into ions and is thus made capable of conducting an electrical current. The sulfuric acid - water solution in a storage battery is an electrolyte.
Electromotive Force
(EMF) A difference in potential that tends to give rise to an electric current. Measured in volts.
Electron
A tiny particle which rotates around the nucleus of an atom. It has a negative charge of electricity.
Electron theory
The theory which explains the nature of electricity and the exchange of "free" electrons between atoms of a conductor. It is also used as one theory to explain direction of current flow in a circuit.
Farad
A unit of measure for capacitance. One farad is equal to one coulomb per volt.
Ferroresonance
(nonlinear resonance) a type of resonance in electric circuits which occurs when a circuit containing a nonlinear inductance is fed from a source that has series capacitance, and the circuit is subjected to a disturbance such as opening of a switch. It can cause overvoltages and overcurrents in an electrical power system and can pose a risk to transmission and distribution equipment and to operational personnel.
Frequency
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The number of cycles per second. Measured in Hertz. If a current completes one cycle per second, then the frequency is 1 Hz; 60 cycles per second equals 60 Hz.
Fuse
A circuit interrupting device consisting of a strip of wire that melts and breaks an electric circuit if the current exceeds a safe level. To restore service, the fuse must be replaced using a similar fuse with the same size and rating after correcting the cause of failure.
Generator
A device which converts mechanical energy into electrical energy.
Ground
The reference point in an electrical circuit from which voltages are measured, a common return path for electric current, or a direct physical connection to the Earth.
Ground Fault Circuit Interrupters (GFCI)
A device intended for the protection of personnel that functions to de-energize a circuit or portion thereof within an established period of time when a current to ground exceeds some predetermined value that is less than that required to operate the overcurrent protective device of the supply circuit.
Henry
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A unit of measure for inductance. If the rate of change of current in a circuit is one ampere per second and the resulting electromotive force is one volt, then the inductance of the circuit is one henry.
Hertz
A unit of measure for frequency. Replacing the earlier term of cycle per second (cps).
Impedance
The measure of the opposition that a circuit presents to a current when a voltage is applied. Impedance extends the concept of resistance to AC circuits, and possesses both magnitude and phase, unlike resistance, which has only magnitude.
Inductance
The property of a conductor by which a change in current flowing through it induces (creates) a voltage (electromotive force) in both the conductor itself (self-inductance) and in any nearby conductors (mutual inductance). Measured in henry (H).
Inductor
A coil of wire wrapped around an iron core. The inductance is directly proportional to the number of turns in the coil.
Insulator
Any material where electric current does not flow freely. Insulative materials, such as glass, rubber, air, and many plastics have a relatively high resistance. Insulators protect equipment and life from electric shock.
Inverter
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An apparatus that converts direct current into alternating current.
Kilowatt-hour (kWh)
The product of power in kW and time in hours. Equal to 1000 Watt-hours. For example, if a 100W light bulb is used for 4 hours, 0.4kWhs of energy will be used (100W x 1kW / 1000 Watts x 4 hours). Electrical energy is sold in units of kWh.
Kilowatt-hour Meter
A device used to measure electrical energy use.
Kilowatt (kW)
Equal to 1000 watts.
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Load
Anything which consumes electrical energy, such as lights, transformers, heaters and electric motors.
Load Rejection
The condition in which there is a sudden load loss in the system which causes the generating equipment to be over-frequency. A load rejection test confirms that the system can withstand a sudden loss of load and return to normal operating conditions using its governor. Load banks are normally used for these tests as part of the commissioning process for electrical power systems.
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Mutual Induction
Occurs when changing current in one coil induces voltage in a second coil.
Ohm
(Ω) A unit of measure of resistance. One ohm is equivilant to the resistance in a circuit transmitting a current of one ampere when subjected to a potential difference of one volt.
Ohm's Law
The mathematical equation that explains the relationship between current, voltage, and resistance (V=IR).
Ohmmeter
An instrument for measuring the resistance in ohms of an electrical circuit.
Open Circuit
An open or open circuit occurs when a circuit is broken, such as by a broken wire or open switch, interrupting the flow of current through the circuit. It is analogous to a closed valve in a water system.
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Parallel Circuit
A circuit in which there are multiple paths for electricity to flow. Each load connected in a separate path receives the full circuit voltage, and the total circuit current is equal to the sum of the individual branch currents.
Piezoelectricity
Electric polarization in a substance (especially certain crystals) resulting from the application of mechanical stress (pressure).
Polarity
A collective term applied to the positive (+) and negative ( - ) ends of a magnet or electrical mechanism such as a coil or battery.
Power
The rate at which electrical energy is transferred by an electric circuit. Measured in Watts.
Power Factor
The ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage. The difference between the two is caused by reactance in the circuit and represents power that does no useful work.
Protective Relay
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A relay device designed to trip a circuit breaker when a fault is detected.
Reactive Power
The portion of electricity that establishes and sustains the electric and magnetic fields of AC equipment. Exists in an AC circuit when the current and voltage are not in phase. Measured in VARS.
Rectifier
An electrical device that converts an alternating current into a direct one by allowing a current to flow through it in one direction only.
Relay
An electrical coil switch that uses a small current to control a much larger current.
Reluctance
The resistance that a magnetic circuit offers to lines of force in a magnetic field.
Resistance
The opposition to the passage of an electric current. Electrical resistance can be compared to the friction experienced by water when flowing through a pipe. Measured in ohms.
Resistor
A device usually made of wire or carbon which presents a resistance to current flow.
Rotor
The rotating part of an electrical machine such as a generator, motor, or alternator.
Self Induction
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Voltage which occurs in a coil when there is a change of current.
Semiconductor
A solid substance that has a conductivity between that of an insulator and that of most metals, either due to the addition of an impurity or because of temperature effects. Devices made of semiconductors, notably silicon, are essential components of most electronic circuits.
Series-Parallel Circuit
A circuit in which some of the circuit components are connected in series and others are connected in parallel.
Series Circuit
A circuit in which there is only one path for electricity to flow. All of the current in the circuit must flow through all of the loads.
Service
The conductors and equipment used to deliver energy from the electrical supply system to the system being served.
Short Circuit
When one part of an electric circuit comes in contact with another part of the same circuit, diverting the flow of current from its desired path.
Solid State Circuit
Electronic (integrated) circuits which utilize semiconductor devices such as transistors, diodes and silicon controlled rectifiers.
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Transistor
A semiconductor device with three connections, capable of amplification in addition to rectification.
True Power
Measured in Watts. The power manifested in tangible form such as electromagnetic radiation, acoustic waves, or mechanical phenomena. In a direct current (DC) circuit, or in an alternating current (AC) circuit whose impedance is a pure resistance, the voltage and current are in phase.
VARS
A unit of measure of reactive power. Vars may be considered as either the imaginary part of apparent power, or the power flowing into a reactive load, where voltage and current are specified in volts and amperes.
Variable Resistor
A resistor that can beadjusted to different ranges of value.
Volt-Ampere (VA)
A unit of measure of apparent power. It is the product of the rms voltage and the rms current.
Volt (V)
A unit measure of voltage. One volt is equal to the difference of potential that would drive one ampere of current against one ohm resistance.
Voltage
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An electromotive force or "pressure" that causes electrons to flow and can be compared to water pressure which causes water to flow in a pipe. Measured in volts.
Voltmeter
An instrument for measuring the force in volts of an electrical current. This is the difference of potential (voltage) between different points in an electrical circuit. Voltmeters have a high internal resistance are connected across (parallel to) the points where voltage is to be measured.
Watt-hour (Wh)
A unit of electrical energy equivalent to a power consumption of one watt for one hour.
Watt (W)
A unit of electrical power. One watt is equivalent to one joule per second, corresponding to the power in an electric circuit in which the potential difference is one volt and the current one ampere.
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Wattmeter
The wattmeter is an instrument for measuring the electric power (or the supply rate of electrical energy) in watts of any given circuit.
Waveform
A graphical representation ofelectrical cycles which shows the amount of variation in amplitude over some period of time.
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