AC Efficiency: Fact or Fiction?

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SUMMARY

The discussion centers on the efficiency of alternating current (AC) versus direct current (DC) in power transmission. AC is favored for its ability to easily transform voltages using transformers, making it more practical for long-distance transmission. However, when high voltages are achieved, DC can be more efficient due to lower transmission losses, as it only transfers active power. The conversation also highlights the advantages of three-phase systems over single-phase systems, particularly in providing constant power and reducing oscillations in large motors.

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  • Understanding of AC and DC power systems
  • Knowledge of transformer operation and magnetic flux
  • Familiarity with three-phase power systems
  • Basic principles of electrical transmission efficiency
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  • Research "High-Voltage Direct Current (HVDC) transmission" for efficiency comparisons
  • Study "transformer design and operation" to understand voltage transformation
  • Explore "three-phase power systems" and their advantages in industrial applications
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Electrical engineers, power system designers, and anyone interested in the efficiency of electrical transmission methods.

  • #31
I'm complicit in the fantasizing about what might be.

If i ever build another house it'll have alongside the 120VAC system a 12VDC one with a light in every room and a couple DC outlets . Or whatever voltage automobiles use by then...

Appliances are already halfway there. New efficient appliance motors turn house AC into rectified DC which is then turned by an embedded computer into 3 phase AC with field oriented vector control , which i consider unspeakably complex. You'll not see any more thirty+ year appliances like my old GE Potscrubber dishwasher, the DC3 of kitchen equipment.

SMPS's are not too complex until you add power factor correction circuitry to them to make them compatible with the AC distribution system.

I think local transmission will remain AC for same reason it replaced DC in mid 1900's; it's simple and reliable and flexible and we're already mighty far up the learning curve..
 
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  • #32
Consolidated Edison in New York City continued offering DC residential service until the 1980s. Are there any Con Ed customers there who remember living with that?
 
  • #33
sophie is correct on the short lifespans of most modern electronics and I just want to say its a business model these days than anything else , theoretically our stuff should last longer and longer as we progress towards and as I do understand the need for PC's and other digital devices to develop with new ones coming in and old ones going out , I kinda oppose the same consumer thinking on all other brands simply because whenever we throw out things that still work or recycle stuff that could have went on for some extra 10 years , we have to produce new stuff and reuse the old stuff and that takes energy and resources are being spent and it damages our ecosystem simply for big corporation profit.
sorry for off topic I just had to say that.

as for the computer generations and tv's , I'd say fully reorganizing the grid with everything attached to it is way more fundamental of a task than simply giving consumers a " better" box to play their games or watch stupid youtube videos every year.
 
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  • #34
jim hardy said:
I think local transmission will remain AC for same reason it replaced DC in mid 1900's; it's simple and reliable and flexible and we're already mighty far up the learning curve..

I agree it's unlikely residential power will be converted to DC distribution internally. Almost none of the commonly used and installed 120VAC electrical parts have UL approval for DC current. Every switch, breaker, socket and receptacle in the house would need to be replaced with parts designed to snuff the sustained DC arc when contacts open.


Our "rule of thumb" for an AC rated switching contact is 10% of voltage and current for a DC application.
 
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  • #35
that's a great video over there, sadly i didint know of this video earlier because we had an argument over here in another thread about whether rectified mains or any rectified AC into DC produces more load through the same load because of a higher voltage and it does , i made such a thing for a soldering iron I had wound a bit too high of a resistance.

as for the video , the first thing I thought was Oh Snap! when they used the 310v DC or thereabout (rectified AC) and the contact was open the switch was like 1cm or more apart and the arc still formed , how is that possible? isn't that arc a bit big for 310v?
Or does DC behave differently in this manner as it's capable of striking longer arcs at the same voltage level?
 
  • #36
Salvador said:
as for the video , the first thing I thought was Oh Snap! when they used the 310v DC or thereabout (rectified AC) and the contact was open the switch was like 1cm or more apart and the arc still formed , how is that possible? isn't that arc a bit big for 310v?
Or does DC behave differently in this manner as it's capable of striking longer arcs at the same voltage level?

Sustained electric arcs are non-linear, increased current results in a lower voltage so you have a unstable negative resistance circuit with high current density and low voltage drop across the arc that functions as a positive feedback circuit. With DC (no AC crossing and its always arcing from one cathode hot spot) If drawn apart slowly the arc will maintain its high temperature longer and continue to generate emission at the arc point until it becomes too small.
 
  • #37
Since we're digressing;
here's a piece of trivia for the back of your mind.
If you've ever electric welded you have an intuitive "feel" for arcing.

An arc in an AC circuit will likely go out at next current zero crossing. That's why home 'buzz box' welders are so tricky to get started.
An arc in a DC circuit does not have the benefit of a natural zero crossing. So current must be "brute forced" down to zero . That's why a good industrial DC welder is such a pleasure to use.

That's also why the fastest of AC circuit breakers are rated to interrupt current in ~10 milliseconds - a zero crossing is sure to come by within a half cycle. And that's why the DC rating is so much lower than the AC rating, small breakers like in your household panel are not brutish enough for DC service. Hence Mr spook's point.

There exist especially fast fuses for semiconductor protection. We used Chase Shawmut form 101. They're special shaped silver links in a stout epoxy-glass fiber tube filled with sand. The sand breaks up the arc and melts absorbing the heat , that's called "quenching the arc" .. They'll interrupt current in a millisecond or two.
http://www.ferrazshawmutsales.com/pdfs/A100P.pdf

In 1973 i spent a couple weeks applying short circuits to various protective devices and recording the waveforms.

Ahhh, nostalgia... we had inverters in the plant and were looking for a circuit breaker fast enough that it'd interrupt a short on inverter output before the inverter's internal protection shut it down, which trips the plant. It's embarrassing when somebody innocemtly changing a lightbulb can trip a nuke plant.

Here's a typical fast circuit breaker response
upload_2015-12-25_16-39-14.png

That let-through energy under the gray peak probably wouldn't hurt a motor but it might wreck the semiconductors in an electronic speed controller for that motor.

So you'd use a faster device like that Amptrap fuse , it gives a waveform like the blue segment . Observe how much more gentle that is on the load than the circuit breaker would be. Someplace in my barn is a notebook with my old 'scope photos, but these reproduction traces came from http://www.galco.com/comp/prod/fuses.htm
and are faithful representations of real ones..
upload_2015-12-25_16-41-46.png


999 out of a thousand people will never need to know about this little factoid
but i hope it helps somebody.someday.
Sorry it's not more academic - just a qualitative introduction not quantitative analysis.

old jim
 
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  • #38
DC power is used in a few cases of long distance power transmission. The cost of motor generator pairs to reconvert it to AC must be less than the additional cost of the extra wire (s?) for three phase power.

Of course my dream is to have every device store it's own power in a super-capacitor. Whenever the capacitor winds down, we teleport it to the recharge station and back in under a µS. This would of course happen many times a second. (Beam me up Scotty!). :oldbiggrin:

There would be predictive software so only the equipment I wanted would show up. I never need to leave my couch again. :rolleyes:

Never underestimate the power of the Dark Side -- of my couch.
 
  • #39
Jeff Rosenbury said:
The cost of motor generator pairs to reconvert it to AC
I thought they use 'electronic means' with mercury arc valves and inductors. (?) @Jim - tell us what's the practice these days.
 
  • #40
sophiecentaur said:
I thought they use 'electronic means' with mercury arc valves and inductors. (?) @Jim - tell us what's the practice these days.
It varies. You are right that it's been nearly a hundred years since they installed a new motor generator pair in a major installation. Mercury was used for a while, then thyristors. Offshore wind generators are likely to use other (proprietary) means that combine various electronic solutions. HV DC seems to be more common as power inverters drop in price and offshore cables cost more.
 
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  • #41
I was never around HVDC

Thyristors have become stout enough for that service

here's a pretty good introduction by a major player in the utility scale equipment field.

http://www.energy.siemens.com/us/pool/hq/power-transmission/HVDC/HVDC_Proven_Technology.pdf

here's page 15 showing the thyristor valves. They give a good description of a British project
upload_2015-12-27_13-25-23.png


There's also the long term savings in energy loss
and the ability to interconnect 60hz with 50 hz systems(as they do in Japan)

One gets to like this seemingly boring field, power
i guess guys are just attracted to big machinery.
upload_2015-12-27_13-32-4.png


I know some railroad enthusiasts, too.

old jim
 
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  • #42
We're all over the map. Sophie diverted to LVDC distribution, now we diverted again to HVDC transmission. About as different as possible.

HVDC had advantages including stability, lack of VAR generation, ability to link dissimilar frequencies, and lower losses. Offsetting these is the cost of the converter. One needs a converter at each end of the HVDC line, plus an additional converter at each intermediate point where you want to tap power.

Think of an attractive HVDC line from Idaho to Southern California. All the states in between the end points would receive zero benefit unless they pay for additional converters within their borders. That makes it really really hard to get approval from all those governments. Midwest USA wind power owners advocate for big HVDC lines to New England so that they could sell their green energy there. But the westerners want the easterners to pay for the HVDC. The easterners say, "Heck no. You deliver it to my doorstep if you want to market it" The in-between states crossed by the lines say, "What benefit do we get?" (Sophie, a European parallel would be if Norway wanted to sell power to Italy with HVDC lines crossing Scotland and England but with no electrical connections inside UK borders.)

To calibrate costs see https://en.wikipedia.org/wiki/High-voltage_direct_current
For an 8 GW 40 km link laid under the English Channel, the following are approximate primary equipment costs for a 2000 MW 500 kV bipolar conventional HVDC link (exclude way-leaving, on-shore reinforcement works, consenting, engineering, insurance, etc.)
Converter stations ~£110M (~€120M or $173.7M)
That comes to $86/kw of capacity for the converter. (100x more than $0.80/kw for new solar panels.) That's pretty expensive, so HVDC is used only in cases where its advantages overcome the costs.
 
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  • #43
anorlunda said:
Sophie, a European parallel would be if Norway wanted to sell power to Italy with HVDC lines crossing Scotland and England but with no electrical connections inside UK borders.)
I can see that and it is very relevant in some parts but the EU can be surprisingly co operative amongst themselves and I was assuming that any HVDC network would include all countries within.
anorlunda said:
That comes to $86/kw of capacity for the converter. (100x more than $0.80/kw for new solar panels.) That's pretty expensive, so HVDC is used only in cases where its advantages overcome the costs.
That's a good bit of info. My enthusiasm is a bit dampened - or perhaps delayed by a few extra decades.
 
  • #44
Altho the main argument lies in the difficulty of cheap conversion of DC voltages, remember also that balanced 3 phase AC systems also reduce the amount of transmission conductor required by 25 %.
 
  • #45
arationofreason said:
remember also that balanced 3 phase AC systems also reduce the amount of transmission conductor required by 25 %.
That, no doubt, is a well known bit of book work but it is counter intuitive, Doesn't I2R apply? Or are you just saying that three wires are used instead of four? In which case, it wouldn't be comparing like with like.
 
  • #46
sophiecentaur said:
That, no doubt, is a well known bit of book work but it is counter intuitive, Doesn't I2R apply? Or are you just saying that three wires are used instead of four? In which case, it wouldn't be comparing like with like.
Yes, that and the fact that three phase power is volts * amps * √3 means you can use much smaller wires and get the same resistance.
 
  • #47
russ_watters said:
Yes, that and the fact that three phase power is volts * amps * √3 means you can use much smaller wires and get the same resistance.
The root three factor only tells the RMS value, surely (if V and I are in phase). That value is the DC value and the DC dissipation through supply cables will surely be the same as the equivalent AC losses, for a given total load. I appreciate that it is easier to divvy up the loads carried by the three conductors in 3 Phase systems when changing to DC but I think it is possible (not straightforward) to use switch mode techniques to regulate the charge supplied by the same three conductors so that the power is carried evenly. The invertors still have inductive isolation from input to ouput so you can still make use of the potentials between each pair of the three conductors. An expensive exercise, of course (they have all told me that I'm far too optimistic) but I think the 'theory' is there.
 
  • #48
sophiecentaur said:
The root three factor only tells the RMS value...
No, the root three factor is due to the fact that the phases are 120 degrees out of phase with each other: the voltage and amperage are already/always measured as RMS.

Single phase power is VI and three phase power is √3*VI. That difference means even with 3 wires instead of 2, you can use less total copper in the three phase system for the same resistance.
 
  • #49
DC has less I2R losses for a given amount of metal because there are no complex effects like reactive power or skin effect causing extra losses.

I thought RMS power was the root mean square power of the sine wave. In electronics, we sometimes use other waves and need to figure power differently (When we bother; I've never built a power amp that didn't use sine waves. :wink:)

Also one thicker cable costs less than 12 thinner cables. (Each phase has multiple conductors to increase the geometric mean radius, which affects the capacitance, which in turn matters more in AC than DC.)

Also, the Earth can sometimes be used as a ground return path -- I think. (I would look long and hard before I did this, but with hundreds of millions of dollars at stake ... ) This leaves one cable rather than two.

Long lines are better as DC. Short lines are better as AC. Which is better in any given case is a complex decision based on economics and sometimes, as anorlunda wrote, on politics.
 
  • #50
russ_watters said:
No, the root three factor is due to the fact that the phases are 120 degrees out of phase with each other: the voltage and amperage are already/always measured as RMS.

Single phase power is VI and three phase power is √3*VI. That difference means even with 3 wires instead of 2, you can use less total copper in the three phase system for the same resistance.
Could you give me a reference to this (On line)? Trying to work it our for myself got me in a muddle.
 
  • #51
sophiecentaur said:
Could you give me a reference to this (On line)? Trying to work it our for myself got me in a muddle.

There is a simpler way to think about it. Transmission costs are more heavily influenced by conductor size (thick wire costs more per km but it reduces ##I^2R## power losses) than by conductor spacing and insulators (whose costs rise with voltage). Therefore, the simpler way is to ignore voltage.

A single-phase circuit 100 km long needs 200 km of wire to carry 1 per-unit power. A three-phase 100 kM circuit using the same conductor size, needs 300 km of wire to carry 3 per unit power. Power capacity is increased x3 while the km of wire is increased x1.5. That is the central advantage of three-phase power.

Note: the same logic could lead us to use more than three phases, and indeed that idea sounds attractive. But there are other costs and complexities, so three phase is the nearly universal winner in the trade-offs.
 
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  • #52
sophiecentaur said:
Could you give me a reference to this (On line)? Trying to work it our for myself got me in a muddle.
http://www.engineeringtoolbox.com/three-phase-electrical-d_888.html
https://books.google.com/books?id=PsC0bSrj8C8C&pg=PA30&lpg=PA30&dq=three+phase+power+less+copper+than+single&source=bl&ots=4qXWqsGxdb&sig=3vz1vN_66RV6bdAFrYy1VXnPUXQ&hl=en&sa=X&ved=0ahUKEwjWiriZt4HKAhXDGR4KHfQoCAEQ6AEIRzAH#v=onepage&q=three phase power less copper than single&f=false

Note that in the US, residential 240V service is "split phase", with two hot wires at 180 out of phase with each other. This is an even more efficient use of wires as you've doubled the power you can deliver with the same number of wires (vs normal single phase).
 
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  • #53
russ_watters said:
Note that in the US, residential 240V service is "split phase", with two hot wires at 180 out of phase with each other. This is an even more efficient use of wires as you've doubled the power you can deliver with the same number of wires (vs normal single phase).

No no no. There are three wires in that system not two. Look at this diagram below from https://www.physicsforums.com/threads/total-amperage-in-a-service-panel.705961/ post #2 by Drakkith. Now suppose that nothing is plugged into the 240 volt plug. You see that the 120 volt current coming in from hot#2 must return through the neutral, not hot#1. The neutral is not the same as the third ground wire in plugs that is used for safety only.

proxy.php?image=http%3A%2F%2Fhyperphysics.phy-astr.gsu.edu%2Fhbase%2Felectric%2Fimgele%2Fhse.gif
 
  • #54
@sophiecentaur
sophiecentaur said:
Trying to work it our for myself got me in a muddle.

I must've been lucky in 1965. Our grad student AC power instructor spent twenty minutes at the blackboard drawing phasors and explaining it to us boys.
It has to be presented right the first time so it'll be intuitive thereafter and he did a great job.the key to it is rigor in naming, a la Lavoisier.
We must distinguish between
current in an individual phase winding
and
current in an individual line ,
call them Iphase and Iline
also between voltage across a phase winding Vphase and voltage between two lines Vline

when we do that we see
for delta connection
Vline = Vphase
and
Iline = sum of two Iphase 's.plain trigonometry and single step thinking will get Iline to Iphase relationship...

take a delta connected machine, motor or transformer - in any of the three single windings power is VI cosθ and for simplicity assume unity pf (resistor bank?) .
To be more specific in terminology power in each phase is Vphase Iphase.
Total power is 3X Vphase Iphase.

Now what about the wires carrying power to(or from) the device? That's where we'd hook up measuring instruments.
Each wire carries the current for two phase windings.
Call that the line current .
Phase currents are 120 deg out of phase with one another
and if you add two equal phasors head to tail at 120 deg, their sum is √3 not twice their individual magnitudes.

SO Iline is √3Iphase
AHA !
With the delta connection ,
Current in the Line is greater than current in the phases by that ubiquitous √3 !
Iline = Iphase X √3
and Iphase = Iline/√3

So - were i to read ammeters connected in series with the lines
and voltmeters connected between the lines ,
and multiply those two numbers,
wth delta connection i'll get a result
Vphase X (Iphase X √3) because Iline >Iphase by √3
which is neither total power nor power in a single phase

Total power is
Vphase X Iphase X 3,
Since with delta connection, Vphase = Vline
we can write for delta connection
total power = Vline X Iphase X 3...

and since with delta connection Iphase = Iline/√3
we can write for delta connection
total power = Vline X Iline/√3 X 3 = Vline X Iline X√3
plod through it once drawing those phasors and it's intuitive ever after.

Wye connection?
Since for wye connection
Iphase and Iline are equal
it's Vphase and Vline that differ by √3
step by step plodding will get to the exact same expression

KVA3phase = Vline Iline√3

That it's not intuitive to everybody suggests to me that our grad student Charlie Gross was an exceptional teacher. He's at Auburn now and has written several textbooks.

Sorry Sophie I'm too awkward with latex and graphics to draw a picture
the key is that √3 line to phase ratio for either voltage or current depending on Δ-Y

old jim
 
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  • #55
anorlunda said:
No no no. There are three wires in that system not two. Look at this diagram below from https://www.physicsforums.com/threads/total-amperage-in-a-service-panel.705961/ post #2 by Drakkith. Now suppose that nothing is plugged into the 240 volt plug. You see that the 120 volt current coming in from hot#2 must return through the neutral, not hot#1. The neutral is not the same as the third ground wire in plugs that is used for safety only.

proxy.php?image=http%3A%2F%2Fhyperphysics.phy-astr.gsu.edu%2Fhbase%2Felectric%2Fimgele%2Fhse.gif
Huh? If there is nothing plugged-in to the receptacle, then there is no current flowing at all. My suspicion is that some 240V receptacles use a neutral because for whatever reason they need to be capable of supplying both 120V and 240V. But they don't necessarily need to be: the alternate voltage of a 3-phase system (such as 240V) also uses two hot wires and no neutral. See:
All NEMA 6 devices are three-wire grounding devices (hot-hot-ground) used for 208 V and 240 V circuits...
NEMA 6 devices, while specified as 250 V, may be used for either 208 V or 240 V circuits, generally depending on whether the building has a three-phase or split-phase power supply, respectively.

346px-Nema_6-15.svg.png

https://en.wikipedia.org/wiki/NEMA_connector#NEMA_6
 
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  • #56
I think the point russ is making is that you can have a pair of wires carrying 20 amps at 120 volts supplying 2400 watts to the load. Switch over to the split phase system and you add only one wire to double the power available. The alternative of course is to increase the voltage which is not practical or replace the wires which may not be practical.
 
  • #57
Averagesupernova said:
I think the point russ is making...
My post #55 was poorly written at first...I've re-written it now. Should be clearer.
 
  • #58
russ_watters said:
Huh? If there is nothing plugged-in to the receptacle, then there is no current flowing at all.

No, look at the diagram.. If there are loads plugged into the 120V receptacles, but none in the 240V receptacle, where does the current flow?

The 120V plugs have three prongs, hot#2, neutral, and ground. The ground is for safety. The neutral is for the return path of current.
 
  • #59
I've run across clothes dryers with 240 volt heating element and 120 volt motor

they must have a neutral to return the motor current. That means a 4 wire plug.
 
  • #60
anorlunda said:
No, look at the diagram.. If there are loads plugged into the 120V receptacles, but none in the 240V receptacle, where does the current flow?
120V power flows from hot to neutral through 120V plugs in 120V circuits. We're not talking about 120V circuits, we're talking about 240V circuits.
The 120V plugs have three prongs, hot#2, neutral, and ground. The ground is for safety. The neutral is for the return path of current.
No, 120V plugs have one hot and one neutral, for a total of two prongs (we've been ignoring the grounds, which some have and some don't). Some 240V plugs have a neutral, some don't. Have another look at my post - I've re-written it and provided an example that makes it clearer.
 

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