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Difference between single phase and-3-phase

Simplest way to explain the difference is that single-phase circuits require 2 wires, either 2 Hots or 1 Hot and 1 Neutral, while 3-phase requires 3 Hot wires.
Ground wires must be used in both single and 3-phase circuits.
Residential homes have single-phase and do not have 3-phase, while commercial buildings typically have both single-phase and 3-phase.

Use only 600 volt wire.
Lamp cord, extension cords are not rated 600 volt.
Use copper wire only. Aluminum wire is fire risk and should be avoided or installed by professional.

30 amp breaker use 10 gauge /
120-240 volt 30 amp outlet can be installed on 30 amp breaker only/ use 10 gauge wire ... cannot be connected to 15-20-40 amp breaker.

Orange/ #10 gauge wire, with ground ... 30 amp capacity. Safe maximum: 30 x 80% = 24 amps.
Buy:
10-2 gauge/ 30 amp
10-3/ 30 amp
Southwire electric tools
Yellow 12 gauge 20 amp
120 volt 20 amp outlet can be installed on 20 amp breaker, but not 15 amp breaker/ use 12 ga wire.
... cannot be connected to 30-40 amp breaker. 1

Yellow/ #12 gauge wire, with ground ... 20 amp capacity. Safe maximum 16 amps.
Buy:
12-2 gauge/ 20 amp
12-3/ 20 amp

NMB is house wiring
UF is underground
Rolls of stranded wire
HOOK UP Wires
50-60 amp breaker use 6 gauge /
240 volt 50 outlet can be installed on 50 amp breaker only
6-2 wire
Buy:
6-2 wire
Southwire electric tools
NMB is house wiring
UF is underground
40-50 amp breaker use 8 gauge /
240 volt 40 amp outlet can be installed on 40 or 50 amp breaker only
6-2 wire
Buy:
8-2 wire
Southwire electric tools
NMB is house wiring
UF is underground
multimeter
Multimeters
Voltage is tested across two separate wires. Ohms or resistance is tested across both ends of same wire. Amperage is tested along one or two points on same wire.
Buy:
Analog multimeter
Multimeters 
Klein multimeter
Electric testers 
Clampmeter for testing amp flow on line
Southwire armored cable cutter
Electrical tools must be insulated.
Always best to disconnect power, but insulation failure, lack of proper grounding, grounded neutral, lack of GFCI, out-of-code wiring, generator operating without transfer switch, and other problems still pose a risk to anyone working on electric power ... even when breaker is off.

Buy:
1000 volt Tool kit
Electrician tools kits
KLEIN TOOLS
Tools kits
IRWIN tools
KNIPEX

Telephone cable knife
Low Voltage Mounting Bracket for Telephone

Protect wiring from damage
Use nipper instead of pliers or screwdriver for removing staples (and nails). Do not damage cable or wires inside cable.

-Code says: Cable SHALL BE secured without damage to the outer covering. NEC sec. 336-15
Buy
End cutting nippers 


Electrically insulated tools
When removing insulation from wire, do NOT score or put cuts on surface of copper wire. Doing so increases resistance and heat on wire and creates possible weak point.
Buy tools:
KLEIN TOOLS
Wire strippers 
Electric Wire Stripping Machine
Linesman pliers
Utility knife 

Difference
Difference between single phase and-3-phase
More detail: A three phase motor has a label that specifies phase or 3P, and would not be found in household fans, pump, HVAC or appliances etc, but would be found in business HVAC, or commercial pumping stations etc

motor control horsepower
Larger image
Chart above illustrates the increased power available with 3 phase vs single-phase by comparing horsepower rating for 30-40 amp motor control switches.
Chart shows that when voltage is the same, then 3-phase delivers more HP per volt than single-phase.

More detail: 600 volt is one of several standard voltages in US. It is the maximum voltage the grid can deliver to non-industrial, commercial electric service.
A home will never have 600 volts. Instead 600 volts is only available for commercial 3-phase service, and only when specified.
An 'electric service' is the transformer, plus voltage and wire coming from the transformer that goes to a home or business.
Residential homes receive single phase service coming from a single transformer, while a commercial business will have 3 phase service coming from 3 transformers.
Resource: Motor switch manual
All single-phase circuits require 2 wires to complete circuit.
.... All single-phase circuits require 2 wires to complete circuit, unlike commercial 3-phase used for motors etc that require 3 wires to complete circuit.

With 120 volt single-phase, it requires 1 Hot and 1 Neutral .... and has efficiency of pedaling bike with 1 leg

With 240 volt single-phase, it requires 2 out-of-phase Hot wires, ... and has efficiency of pedaling bike with 2 legs

The problem with single-phase ... when both pedals are briefly at top and bottom at same time, the voltage drops to zero. Of course the pedals move so fast that flucuation to zero is not noticed, and average voltage functions as a steady line above zero. See image

Commercial 3-phase requires 3 out-of-phase Hot wires, ... Commercial 3-phase requires 3 out-of-phase Hot wires, and has efficiency of pedaling bike with 3 legs due to higher average power compared with single phase.

3 phase delivers more power than single phase because no two pedals are at the top and bottom at same time, so 3-phase delivers smoother, more continuous power. Average voltage with 3-phase is higher than single phase because at no point do two legs drop to zero at same time. See image

3-phase is not available for residential homes because of cost factors, such as more wires, complicated load factors, more transformers, and imbalance issues etc.

More detail A balanced 3-phase circuit delivers equal power from all 3 legs, while imbalance means one or 2 legs are supplying unequal power which can damage large 3-phase motors, HVAC etc..

Buy:
Motor switch
Leviton motor switch
MS302 30 amp 2-pole switch
MS402 40 amp 2-pole switch

MS303 30 amp 3-pole switch
MS403 40 amp 3-pole switch
3-pole motor starter
 Leviton enclosure for motor switch
Resource:
What is 3-phase
Transformer theory .pdf
What is power factor pdf
3-pole contactors
More detail:
Industrial and commercial 3-phase electric systems differ from residential single-phase: For example 3-phase power is more complex, but more efficient in motor applications, and large area uses. Higher voltages of 277/480v and 347/600v  systems are more efficient, but considerably more dangerous, and should only be maintained and modified by trained and qualified electricians."
"In a balanced 3-phase system, the wires can be about 75% the size of conductors (wires) for a single-phase two-wire system of the same KVA (power) rating. This helps offset cost of supplying the third wire required by 3-phase systems." Balanced means each of the 3 Hot wires is supplying equal power. Unbalanced can be a voltage drop or variation or more usage on one or more of the wires.
Terminology: KVA is Kilo volt amps, or 1000 volt amps. Since volts x amps = watts (or power), the KVA rating means kilowatts and how much power is produced by a motor, transformer, heating element etc.
Note that KVA (kilowatt) is a static number for comparing available power, and not to be confused with kWh (kilowatt-hour), which is a measurement of billable wattage (power) consumption over 1 hour of time.
"Three phase efficiency.
Three phase systems are used for two reasons:

1. The three vector-spaced voltages can be used to create a rotating field in a motor, so 3-phase Motors can thus be started without the need for additional windings."
Contrast with typical single phase motor that requires a start winding and capacitor.
"2. A three-phase system can be connected to a load such that the amount of copper connections required (and thus the transmission losses) are one half of what they would otherwise be."  Source

Generating 3-phase alternating current
How it happens: Passing a magnet over a coil (winding) of wire causes electrons to move along the coil, creating electricity. This is called magnetic induction.

Generators use magnetic induction to produce alternating current AC which is a type of electricity where electrons move back and forth along a wire.
Small household generators use magnets to produce 120-240 volt single-phase AC, but the grid uses a large electromagnetic generator to produce 30,000 volt 3-phase AC. See image  Read more

The grid delivers alternating current (AC) to homes and businesses. Solar and wind generation must be converted into same voltage and frequency AC power before being dispatched to the grid. All appliances, computers etc are rated for AC power as shown on product label.

''At the center of conventional (coal, oil, gas, atomic, hydro) power stations is a generator, a rotating machine that converts mechanical energy into electrical energy by creating relative motion between a magnetic field (north and south pole magnet) and a conductor (coils A B C).''

In general, with coal, oil, gases, atomic, hydro powered generators, the electromagnet inside generator spins past 3 coils (or windings) of wire that are spaced exactly 120° apart inside the generator. Or more exactly, a central rotor spins inside a stator, like a large electric motor. Hydroelectric generator  Video  Resource pdf  Resource .pdf

Alternating current: As the electromagnet passes each coil, the coil becomes energized with a pulse of electric power that reverses each time the north and south poles pass. Back and forth, the electrons race down the coil and out onto a wire, momentarily stop and then race back the other direction, creating what is called alternating current. While voltage rises and falls with the momentary halt and reversal of electrons, the action happens so fast that the average voltage is always above zero and functions as a level voltage.
Frequency
The electrons make a complete cycle, there and back, 60 times per second in the Americas and 50 times per second in rest of world. This is called Hz, hertz, frequency, or cycles. Frequency is monitored closely so multiple power plants (solar, coal, gas, hydro, wind etc) can safely dispatch along the same transmission line without damaging generators, equipment etc, and so end users receive stable, predictable power.

3-phase transmission: 3 Hot wires and a Neutral leave the generator: A wire is connected to one end of each of the 3 coils, and those 3 wires leave the power plant and become the 3 Hot wires found in 3-phase power that is transmitted across the grid. 
Each of the 3 Hot wires is called a phase ... thus 3-phase
The other ends of the 3 coils are joined together to form the Neutral wire that travels with the Hot wires (see image), and is bonded to the ground rod array located under the power plant and switchyard, and is bonded to a ground at each tower, pole, substation, and installation along the way.The 3 Hot phase conductors and Neutral are electromagnetically coupled at the generator, thus helping the Neutral act as a shield against lightning, reducing magnitude of surge, as long as Neutral is grounded at each pole.
Three-phase with 3 hot wires and a neutral is most efficient method for transmitting electric power.

Out of phase: Since the generator magnet passes each coil at a different moment, each Hot wire carries electrons that are 'out of phase' with electrons on the other Hot wires, and also out of phase with the Neutral. Out-of-phase means the electrons on one Hot wire are accelerating different directions at any given moment from the electrons on any other Hot wire or the Neutral.
Energizing the Load: When out of phase wires are connected to a load, the electrons oscillate back n forth between each wire, going back and forth through the load and energizing the load. A load is a light, fan, motor, oven, clothes dryer etc.

With single-phase, the electrons travel back and forth between two wires, either Hot-to-Neutral or Hot-Hot.
With three-phase the electrons travel back and forth between three Hot wires, each leg interacting with the other as the generator spins, and where the best explanation becomes mathematical and exceeds the scope of this page.

power plant to house electricityLarger image of grid
From power plant to home
Illustration shows 3 phase from power plant to household single-phase

How it happens: The power plant generator produces 30,000 volt 3-phase electricity.

The 3 hot wires and 1 Neutral wire leave the generator and travel through the power plant substation where step-up transformers convert the high-amp 30,000 volt into low-amp 225,000 to 500,000+ volt electricity that is transmitted across the grid via wires suspended on steel lattice towers..
See image

High-volt, low-amp means less heat loss from amperage, so electricity can be transmitted longer distance without power loss.
There are other advantages. For example, even though voltage is high, the low amperage means using a smaller wire, weighing less and using less material, which means transmission towers can be lighter weight and spaced farther apart, resulting in fewer towers and less cost. Also using a 3rd wire for 3-phase will transmit more power at less cost than using a 2-wire single phase system.

The disadvantage is that high voltage lines must be suspended higher away from the ground to prevent arc between wires or to ground etc, plus high-voltage switchgear is dangerous and expensive, but the grid is a balance of cost and function.

The Neutral always travels with the Hot wires and is bonded to a ground rod at every installation, forming a grid-wide array of grounding that protects against overvoltages, malfunctions, lightning etc.

The grid has 3 general categories: 1) high-voltage transmission lines, 2) mid voltage subtransmission lines, and finally 3) lower voltage distribution lines.
Different voltages are separated by a substation transformer that isolates each voltage so that higher voltage cannot accidentally appear on lower voltage lines.

As the 500,000 volt transmission line gets nearer to end user location like a town or industrial complex etc, a primary substation is installed with step down transformers that reduce high-voltage transmission into subtransmission that might carry 69,000 volts.
Then as the subtransmission lines reach the town, a local substation is installed with step down transformers that convert 69,000 volt into 12,000 volt distribution power.
Voltages are standard but not exact, so 12,000 volts can be slightly higher or lower, but is prevented from fluctuating by voltage regulators installed at the substation.

12,000 volt distribution is safer and can be suspended nearer to the ground and pass close to trees, but lower voltage means higher amperage. This is because volts and amps are inversely proportional, so when a transformer lowers voltage it will automatically raise amperage.
Higher amperage causes heat loss, so 12,000 volt distribution lines are limited to 20 miles or so, depending on number of end users, voltages, types of wire etc.

Residential single phase comes the Phase voltage: taking one 7200 volt Hot wire and a Neutral off the 3-phase distribution
Power line voltage is measured between any 2 Hot wires, called the Line voltage.
There is also voltage potential between any Hot wire and Neutral, called the Phase voltage, which is Line voltage divided by square root of 3. Distribution voltages vary by community, but 12,470 volts is typical, and when divided by square root 3, yeilds 7200 volts.

1) Distribution power is designed for one thing: to energize distribution transformers located at each home and business. See image
2) For residential transformers, the power company taps one 7200 volt Hot wire plus a Neutral off a 3-phase distribution line, and these two wires are connected to a single transformer that produces 120-240 volt for a residential service.
3) The 7200 volt Hot and Neutral can can also travel along poles for a few miles, supplying numerous residential transformers in a neighborhood etc.

Once the Hot and Neutral wires reach each home, they are connected to the distribution transformer that looks like a large grey can. The transformer reduces the 7200 volt power into high amperage (100-250 amp etc) residential service that provides 120 volt and 240 volt options.

Transformers ensure that households and businesses receive safe and usable low volt, high amp power.
It works nicely because household 120-240 voltage can be safely controlled by small switches, relays, cell phone chargers etc contained within steel and plastic enclosures, while the amperage (and heat) is controlled by circuit breakers (overcurrent protection) and then distributed to outlets, switches, dryer etc using correctly sized wire to match amp rating of breaker.
Resources:
See inside main breaker box
Basic residential electric
Why you need ground wire
Wire and breaker size


Larger image
Residential transformer for single phase service
-Transformers work on the principle of magnetic induction where applying electricity to one coil of wire creates a magnetic flux that energizes the other coil of wire with electricity.
-'Transformers have no moving parts, ensuring a long trouble-free life under normal conditions.' Inside a transformer are two coils of wire called the primary and secondary windings. Each coil is wrapped around a laminated iron core or more efficient amorphous metal core. The metal core is shared by both coils, but the coils of wire are 'insulated' from each other. They are electrically separated. There is no wire in common between the primary and secondary coils, only the metal core is shared. How transformers work pdf

-Having different numbers of turns of wire, or varying the turns ratio, on each coil will reduce or raise voltage. Different voltages can be achieved throughout the grid by varying the number of turns on the primary and secondary coils.
Voltage per turn x number of turns


-The 7200 volt Hot wire and Neutral are connected to primary coil via 2 bushings H1 and H2 located on top of transformer.


Residential transformer for single phase service
 Part II


Having different number of turns of wire, or varying the turns ratio on each coil will reduce or raise voltage.

-Residential transformers have a 30:1 turns ratio needed to convert 7200 volt into 240 volt.

Connecting the 7200 volt Hot and Neutral across the primary coil 'completes the circuit' causing electrons to oscillate back and forth 60 times per second. The back-n-forth movement on the primary coil causes electrons on the secondary coil to oscillate back-n-forth in the same frequency.

-The secondary coil has 3 taps X1 X2 X3 located on side of transformer: 2 of the outputs X1 X2 are for Hot wires and the output X3 in center is for the Neutral wire.

-Residential transformers deliver 3 wires to the home, consisting of 2 out of phase Hots and 1 Neutral.

-To get 240 volt, you pull a Hot wire from each end of the secondary coil. These two Hot wires are out of phase from each other because electrons are oscillating back and forth on the secondary coil, and since each Hot wire is connected to a different end of the coil, each Hot wire carries electrons that are accelerating different direction from each other at any given moment of time.
-By pulling a Neutral off the center of the coil, you get 1/2 voltage or 120 volt potential.
As a result, 120 volt is achieved using 1 Hot and a Neutral. While 240 volt is achieved using a Hot wire from both ends of the secondary coil.
-As a footnote, drawing 2 Hots from same side of coil yields no voltage when connected to an appliance since both Hots are in phase with each other... each Hot must come from the opposite end of secondary coil.

Resource
Why you need ground wire
More detail:
Transformer construction
.
''The core provides a low resistance path for magnetic flux. The iron core is typically made from very thin individual laminations, each coated with insulation. By insulating between individual laminations, losses from eddy currents that are magnetically induced on the iron core are reduced.'' Other losses include hysteresis loss, or heat loss, from iron atoms in the core resisting polarity change when the atoms realign with changing polarity caused by oscillating current, plus loss from resistance of the winding (wire) itself. ''Loss of efficiency is the ratio of power delivered on the primary side, to power delivered on secondary side. Transformer loss can range from .5 to 8%'', meaning 92-98% efficiency depending on amount of amperage flowing through the circuit, and ambient weather conditions such as hot day, which reduces efficiency, vs cloudy or windy or cold day which increases effeciency etc.
Amp rating of overhead conductors

'A transformer is composed of two separate coils that are wound onto a common metal core. On some transformers, the low-voltage winding is placed nearest the core; and the high-voltage winding is then placed around both the low voltage winding and core. Other transformers have separate coils that sit next to each other.'

Primary vs secondary.
''The primary is always connected to the source of power, and the secondary is always connected to the load.'' So if home has solar power that feeds back into the grid, then the lower voltage side can become the primary when power is flowing from the home to the distribution wires.'' Another example, during a power outage, if the home or business has a back-up generator running, and the generator is connected to breaker panel and main breaker is not turned OFF, then electricity will feed back through the transformer and energize distribution wires at full voltage. This creates electrocution hazard for linemen working to restore power, or clearing debris after storm damage. A transfer switch is typically required for back-up generators that connect to breaker box.

Turns ratio.
''Electric field surrounding power lines is primarily a function of the voltage.'' ''The amount of voltage induced in each turn of the secondary winding will be the same as the voltage across each turn of the primary winding. The total amount of voltage induced will be equal to the sum of the voltages induced in each turn." This explains why the primary and secondary coils have different number of turns, and where the calculation comes from.

Single-phase and 3-phase amp draw from power lines.
The current or amperage is inversely proportional to both voltage and number of turns on the transformer. Standard mathematical symbols are E = volts, N = turns, and I = amps (amps is the flow or current of electrons, thus called current or amperage).
Using the formula, the primary volts or E1 is 7200 volts, and secondary volts E2 is 240 volt residential single-phase service. And let's say the main breaker for the residence is 250 amps, then I2  is 250 amps.
With residential transformer, the turns ratio is 30:1. This means I1 can be calculated: 250 amp divided by 30 = 8 amps. This means the 7200 volt distribution line delivers 8 amps to supply 250 amp to the home.

Since electricity is dynamic, and delivered on demand, 8 amps would only be consumed from the distribution line when the home was using 250 amps. Most homes are not using the full amp capacity from the main breaker, so the distribution line might supply just 1-3 amps to each home as needed.
However, the effect is multiplied when the distribution line supplies power to 100s or 1000s of homes and businesses on a hot summer day when everybody's air conditioner is running.

Compare 3-phase and single-phase amp draw from power line.
It's more complex than shown here, but let's use the formula above to calculate amp draw for a commercial 3-phase WYE service with 3 transformers. The 3-phase distribution line supplies one 7200 volt Hot and a Neutral to each transformer.

However, the 3-phase transformers are not wired same a residential transformer where the output is 2 Hots and 1 Neutral from a single transformer ... instead, the output from each of three WYE transformers is 1 Hot and 1 Neutral. See image

Plug numbers into the formula: The primary volts E1 is 7200 volts on each transformer.
Let's say the main breaker for the 3-phase service is same 250 amps.
But let's change the secondary voltage E2 to 480 volts which is a standard voltage commonly found in a commercial building.
The turns ratio for 480 volt is 15:1 because 7200 divided by 480 equal 15.
This means primary amperage I1 is 250 amp divided by 15 = 16 amps. This means the 7200 volt power line delivers maximum 16 amps to the commercial building.
Except a 3-phase service has 3 transformers instead of a single household transformer ... and each of the 3 transformers pulls power from a different Hot wire on the 3-phase distribution ... meaning the commercial building pulls 16 amps off 3 separate Hot wires ... with maximum 3 x 16 amps (3 Hot legs at 480 volt) for each rotation of the generator, while residential single phase pulls maximum 2 x 8 amps (2 Hot legs at 240 volt) for each rotation of the generator.
This shows that 480 volt 3-phase can supply more power to the commercial building than using single-phase.
Plus, average voltage for 3-phase never has two wires cross zero at same time, which yeilds more power and higher efficiency, making it easier for the generator to supply high voltage 3-phase service.

Power lines and heat
-37 strand bare aluminum alloy wire is a standard size wire used for distribution lines. The 7/8" diameter wire can carry 500-1000 amps depending on ambient weather conditions. Cooler temperatures, clouds, and wind help lower resistance, so the voltage can push more electrons (amperage) through the conductor matrix with less power loss. Photo taken during installation of power lines. NEVER touch a power line without 100% certainty the line is not carrying electricity.

If everybody on the distribution line was consuming maximum amps during a record heat wave, then the flow of amps would heat the circuit breaker at the substation. If the substation breaker tripped the line, another circuit might pick up the load, but sometimes at reduced power, resulting in brownout where the voltage drops. Or load shedding where sections of the grid are shut down for a period of time. Grid improvements for reliability have minimized the problem for short-run, but as summer temperatures increase, the practice of reducing consumption is best choice. Rooftop solar panels can likewise assist, but lose some efficiency when it's hot. Heat is the enemy of electricity.
Resources:
Source page 6
Overheat power line proximity devices 20034865 page 3
How to wire generator transfer switch
What causes electrocution
Override air conditioner to reduce run time
How many amps on power line

Larger image
Residential single-phase breaker box
After leaving the transformer, residential wires go to the meter box that records billable kWh of electrical usage, and then into the main breaker box. Once inside the main breaker box, the 2 Hots and 1 Neutral are connected to 3 separate busbars.
The 2 Hot wires are connected to the main breaker which is snapped onto 2 busbars. The two Hot busbars are electrically separated and never come into contact with each other.
The Neutral is connected directly to the Neutral busbar which is always bonded to the Ground busbar. The ground busbar is connected to a ground wire going out to the ground rod (not shown).
240 volt comes from a double breaker that draws 2 wires, one wire from each Hot busbar.
120 volt is drawn from a single breaker that is snapped over either Hot busbar.
\
Resources:
See inside main breaker box
Why you need ground wire

Larger image
From power plant to commercial building

Illustration show 3 phase arriving at business

The same 3-phase distribution that is the source of power for residential homes also delivers power to commercial buildings. The 3-phase distribution has three Hot lines. Measuring Hot wire to Hot wire (line voltage), the typical distribution line carries 12,500+ volts. Measuring any one of the three Hot lines to ground (Phase voltage) shows 7200 volts. 
Typical commercial buildings receive 3-phase service which can be accomplished using two or three transformers. Two transformers are used for lighter-weight commercial applications such as 'open delta.' read more

Illustration on right shows three transformers. Each Hot wire from the distribution line connects to a different transformer. Commercial transformers work on same principle as residential transformers, with a primary and secondary coil, except wiring configurations and voltages have more options since there are more transformers. 

With residential transformer, voltages are uniform 120-240. But with commercial 3-phase service, there is a choice of voltages ranging from 208-208-208-120V to 480-480-480-277V to 600-600-600-347V etc, with 600V being the Hot-to-Hot line voltage, and 347 being the Hot-to-Neutral phase voltage calculated using a ratio of √3 or 1.732. Other common electric services include 120-240-208 high leg delta. Read
Some services do not have Neutral, but most do. All services are grounded.
Once a voltage is selected for the service, the power company installs transformers that can meet the required power (KV) and then configures the wiring different ways to achieve voltages specified for the building.

Most businesses also have 120 volt Hot-Neutral single-phase available for ordinary wall outlets, same as a residential home, but typically the lights for commercial stores, buildings, schools etc are connected to higher voltage, for example 240 volt, 277 volt or 480 volt, to run more efficiently. The 120 volt needed for outlets can be achieved using a small industrial transformer, and the 24 volt control voltages used for switches can be achieved using a buck boost transformer. Read

Resources:
What is 3-phase
How to wire 3-phase
Transformer configurations
3-phase transformers .pdf
What is 208 volt
What is 277 volt
What is high leg delta
3-phase service panel3-phase breaker box
Single-phase residential breaker box has 4 busbars with one busbar for Neutral, one for ground, and 2 Hot busbars. 
3-phase breaker box is different and has 5 busbars with 3 Hot busbars, a ground busbar, and a Neutral busbar.
Using a 3-pole circuit breaker, and taking 1 wire from each Hot busbar gives 3-phase electricity to run motors and equipment. Each Hot is out of phase with each of the other Hot wires.
Taking 1 Hot wire and a Neutral, or 2 Hot wires instead of three, yields single phase from the 3-phase breaker box.
The difference between commercial single-phase and residential single-phase is that voltage choices vary with 3-phase service. For example, you can get 120, 208, 240, 277,480 volt single-phase from a 3-phase service, depending on which transformers and which wiring configuration was specified for the service.

3-phase motors are connected with 3 wires, with each wire connected to a different winding inside the motor.

Resources:
How to wire 3-phase
Larger image
Example
 single-pole breaker in 3-phase panel

Color added for illustration

Typical Hot wires used for 3-phase are color-coded Black-Red-Blue.

Note how a 3-pole breaker would snap down over all 3 Hot busbars, while a 2-pole breaker would snap down over 2 Hot busbars, and single breaker snap over one Hot busbar

Single and double breaker can be added to 3-phase panel
Or single-phase can be drawn from one or 2 poles of a 3-pole breaker.

To achieve 120 volt, 1 Hot wire is drawn from the circuit breaker and 1 Neutral wire is drawn from the Neutral busbar.
Switching 3 phase loads

20-40 amp loads can be switched using the manually-operated 3-pole motor control switch seen in illustration at top of page.

Single phase is used for automated switching of 3-phase: a single-phase timer, thermostat, PLC, or electronic circuit is used.
The illustration on left shows T104 timer activating a 3-pole contactor that turns the 3-phase load on-off.
How it works: Pull 2 Hot wires off the 3-wire circuit to get single-phase. In this example, the 3-phase service is 208-208-208-120 WYE or 240-208-208-120 High Leg Delta. The available voltages are determined by type of transformer and transformer wiring installed by the power company.
The coil on the contactor must be rated same voltage on wire, and meet or exceed amp rating of circuit.
Resources:
Contactors
3-pole contactors
T104 timer
How to wire 3-phase timer
How to wire motor control contactor
More detail: Single-phase
Sine wave shows 4 different aspects of 120-240 volt single-phase electricity.
1) Rise and fall of voltage over time on Hot Line 1 and Hot Line 2 found on typical 120-240 volt household electricity.

2) Average Voltage: Each time the electrons stop, voltage drops to zero, as represented by the center line showing 0 volts. As the electrons accelerate one direction on the wire, voltage rises as shown in TOP half of sine wave. As the electrons slow, voltage drops. Electrons stop momentarily and voltage reaches 0 volt again. As the generator keeps spinning, the electrons begin accelerating the other direction and voltage rises as shown in BOTTOM half of sine wave. The voltage rises to more than 120, but using calculus, it can be shown that the average voltage is 120 on each Hot wire. Average voltage is not accidental, and comes from mathematically engineered electric production that delivers standardized voltages across the grid.

"Switching a relay or solid state switch at the zero-crossing point reduces spark across the contacts, extending relay life, and also reduces EMI (electromagnetic interference)."
Resource:
Extend life of relay by switching at zero cross .pdf

3) Time: The illustration shows the length of one cycle which is equal to one full rotation of the generator. This is called cycles, frequency or hertz. The generator in the US and Americas rotates 60 times per second.

4) Phase: Illustration shows how Line 1 and Line 2 are out of phase with each other, with electrons on each line accelerating different direction at any given moment of time.
More detail: 3-phase
Sine wave shows 4 aspects of 3-phase electricity as it emerges from generator.
1) Rise and fall of voltage over time on Line 1, Line 2 and Line 3 found on 3-phase electricity.

2) Average Voltage: Power plant generator can produce 30,000 volts. Voltage reaches 0 on each individual line, but at no time does voltage reach 0V on all 3 lines at same time. This translates to higher average voltage per rotation of generator for 3-phase compared with single-phase. When 3-phase is connected to a motor, the average higher voltage means less amperage is needed, which means motor runs cooler. Amperage is the heat on the wire that trips a circuit breaker. Volts x amps = power (watts), so 3-phase can deliver more power with less heat loss, making 3-phase more efficient than single-phase. Lower amps also means that wires can be smaller, thus lowering cost of installation.
"The horsepower rating of three-phase motors is about 150% greater than for single-phase motors with a similar frame size. The power delivered by a single-phase system pulsates, and the power falls to zero three times during each cycle. The power delivered by a three-phase circuit pulsates also, but it never falls to zero. In a three-phase system, the power delivered to the load is the same at any instant. This produces superior operating characteristics for three-phase motors." 3-phase circuits and basic math .pdf

3) Time: The illustration shows the length of one cycle which is equal to one full rotation of the generator.

4) Phase: Illustration shows how Line 1, 2 and 3 are out of phase with each other, with electrons on each line accelerating different direction at any given moment of time.
More detail:
Three phase power can be transmitted longer distance using smaller conductor (wire) than single-phase, making it possible to transmit long distance at lower cost. Smaller conductors mean less weight so towers and poles can be located farther apart, further reducing cost.

Electricity is volts and amps. Voltage is the force that pushes amperage along the wire. Amperage is the current of electrons flowing on the wire.
Voltage is a potential between conductors, and generally remains steady, while amperage rises and falls with demand, with more electrons flowing on each wire when demand is high.
The problem with high demand, when more loads are drawing power and more amperage is flowing, the hotter the wire gets, and the more energy is wasted.

Heat occurs as voltage pushes amperage (current of electrons) against the matrix, or atomic structure, of the conductor.
The conductor always offers resistance to the flow of electrons, and because resistance is like friction, a large current of electrons causes the wire to get hot.

Each conductor is rated by ampacity or number of amps it can carry, with larger wires able to carry more .... with other factors playing a role too: For example, windy, cloudy and cool conditions allow more amperage with less heat loss, while hot sunny conditions reduce the amp rating and increase heat.
If voltage is pushing too many amps (electrons) for the conductor rating, or the conductor is too small for load, then resistance causes the wire to get hot, resulting in power loss, inefficiencies and higher cost. If heat on wire exceeds the amp rating, then the breaker at substation will trip and protect the wire.
Resource: Ampacities of power lines

To solve the problem of heat loss, long distance transmission wires are high voltage and low amperage.
Using high voltage and low amperage means more force is pushing fewer electrons against the conductor matrix, which means less resistance from the conductor and less heat.

High voltage conductors are suspended high above the ground and spaced far apart, utilizing air as an insulator. This is to prevent electricity from jumping (arcing) to other wires, or to the transmission tower, or to the earth.  The higher the voltage, the more space is needed to keep the voltage under control.
High voltage also requires large and expensive switchgear, and is extremely dangerous, making it impractical and hazardous for ordinary residential and commercial use. (However, some industrial applications require high voltage and consume immense amounts of power, frequently needing their own substation and/or co-generation plant.)

To solve the problem of high voltage, transformers are used throughout the grid to step up or step down voltage.
Amps and volts are inversely proportional. When volts are lowered, amps are raised. Using transformers, the power company can change the volt-amp ratio to accomplish different objectives.




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