# Why do we use AC for long distance transmission?

Why do we use AC (Alternating Current) for long distance transmission of electrical power?

I know that AC is such a current that changes polarity (magnitude and direction) and has fixed poles.

• Actually, DC power transmission is sometimes used for long distances and has some advantages over AC power transmission (en.wikipedia.org/wiki/…) EDIT (9/17/2016): Moreover, DC lines are preferable for distances over 800 km (large.stanford.edu/courses/2010/ph240/hamerly1), and the longest power transmission lines are DC (epcengineer.com/news/post/12191/…) – akhmeteli Sep 17 '16 at 5:50
• I assume 'we' is USA here? In Europe, we use HVDC. – Mast Sep 17 '16 at 14:46
• Interesting aspect shown here. Note it's only $220V$. As explained in the answers, high voltage is better for long distance transmission. Now imagine arcs like this on a daily basis. In AC there is zero crossing of the voltage so the arc extinguish well. – Kamil Maciorowski Sep 18 '16 at 14:43
• @Mast Well, HVDC is more common in Europe, but most of the grid is still AC. Though HVDC is certainly getting more popular. – Luaan Sep 19 '16 at 8:15

The first point to make is: We don't always use AC. There is such a thing as high voltage DC for long-distance power transmission. However its use was rare until the last few decades, when relatively efficient DC-to-AC conversion techniques were developed.

The second point is to debunk the common answer given, which is "because DC won't go long distances". Sure it will. In fact DC is sometimes better for long distance (because you don't have capacitive or EM radiation losses).

But, yes, AC has been used traditionally. The "why" is because of a series of "a leads to b leads to c leads to...":

1. You want to lose as little power as possible in your transmission lines. And all else being equal, the longer the distance, the more power you'll lose. So the longer the distance, the more important it is to cut the line losses to a minimum.

2. The primary way that power lines lose power is in resistive losses. They are not perfect conductors (their resistance is non-zero), so a little of the power that goes through them is lost to heat - just as in an electric heater, only there, of course, heat is what we want! Now, the more power is being carried, the more is lost. For a given amount of power being transferred, the resistive loss in the transmission line is proportional to the square of the current! (This is because power (in watts) dissipated in a resistance is equal to current in amperes, squared, multiplied by the resistance in ohms. These losses are commonly called "I-squared-R" losses, pronounced "eye-squared-arr", "I" being the usual symbol for current in electrical work.) So you want to keep the current as low as possible. Low current has another advantage: you can use thinner wires.

3. So, if you're keeping the current low, then for the same amount of power delivered, you'll want the voltage high (power in watts = EMF in volts multiplied by current in amps). e.g. to halve the current, you'll need to double your voltage. But this will cut your losses to one fourth of what they were! That's a win. Now high voltage does have its issues. The higher the voltage, the harder it is to protect against accidental contact, short circuits, etc. This means higher towers, wider spacing between conductors, etc. So you can't use the highest possible voltage everywhere; it isn't economical. But in general, the longer the transmission line, the higher the voltage that makes sense.

4. Unfortunately you can't deliver power to the end use point (wall outlets and light sockets) at the high voltages that make sense for the long distance transmission lines. (that could be several hundred thousand volts!) Practical generators can't put out extremely high voltages either (they would arc horrendously). So you need an easy way to convert from one voltage to another.

5. And that's most easily done with AC and transformers. Transformers can be amazingly efficient: power distribution transformers routinely hit 98 or 99 percent efficiency, far higher than any mechanical machine.

By contrast, to convert DC voltages you essentially have to convert to AC, use a transformer, and then convert back to DC. The DC-to-AC step, in particular, will have losses. Modern semiconductors have made this a lot better in recent years, but it still generally isn't worth doing until you're talking about very long transmission lines, where the advantages of DC outweigh the conversion losses.

Another reason that AC prevailed over Edison's DC was that the AC system scaled better, as it permitted a small number of power plants far from the city, instead of a large number of small plants about a mile apart. Edison didn't just want to sell light bulbs; he (or, rather, his investors) wanted to sell lighting systems to businesses. There was no power distribution network and he didn't want to have to build one before selling light bulbs. At first he was selling lighting systems to commercial buildings, maybe some large apartment buildings; each building would have its own independent generator in the basement, just as you typically have water heaters today. He was initially successful because he (unlike other developers of light bulbs) was selling and installing complete systems, generator and switchgear and wiring and all, not just bulbs.

This would have saved a lot of the clutter of overhead wires in cities, but it was clear that this would not work well for small businesses or homes (what homeowner or shopkeeper wants to worry about keeping a generator running?). Westinghouse wanted to build a hydroelectric power generation plant at Niagara Falls - one plant to run all of New York City and beyond. Tesla designed an entire AC distribution system involving AC induction generators, step-up transformers to boost their output as necessary for long distances, then conversion through a series of step-downs to what is called "distribution voltage", and then finally to the lines that are connected to houses and light commercial buildings. This was a far more scalable system than Edison's. And, of course, AC works for light bulbs as well as for motors.

Speaking of that... Yet another reason for preferring AC is that AC, and particularly the three-phase AC that Westinghouse's system used (everywhere except at the last drop, from pole distribution transformer to house), was and remains far better for running high-power motors. All practical motors are really AC motors at heart; "DC" motors use commutators to switch the polarity to the coils back and forth as needed, to maintain rotation - essentially they make their own AC internally. But commutators require brushes, which wear out and require maintenance; they make sparks (which interfere with radio), etc. Whereas an AC induction motor needs no commutator nor even slip rings. AC power transmission systems start with three-phase AC generators and maintain three-phase right up to the pole transformer. So they can easily deliver three-phase where it's needed (medium and larger commercial and industrial), but the pole transformer can tap off single-phase for homes and light commercial use.

Three-phase AC power distribution has another advantage in not needing a dedicated "return" wire. (Just FYI, the system Tesla originally designed for Westinghouse was two-phase. They changed to three-phase after the work of Mikhail Dolivo-Dobrovolsky in 1888-1891.)

During the "war of the currents" Edison made much of the greater danger of AC. It's true that a given level of current, through a given path through the body, is more dangerous at AC than at DC. That's because AC at power line frequencies will cause involuntary muscle contractions - paralysis - and heart fibrillation at far lower current than DC (about a tenth). (See allaboutcircuits.com) However the end-user connectors were designed to minimize risk of contact with live parts, and we keep making them better in that regard.

(Aside: I have long held that the electrical transformer should be regarded as one of the basic machines, along with the lever, the inclined plane, the block and tackle, etc. They have the same property of trading off one thing for another. In the case of the mechanical basic machines it's power traded for distance, for an equivalent amount of work done; in the transformer it's voltage for current, at equivalent power. Hydraulic cylinder master-slave pairs should be in the "simple machines" list too. ;) )

• I find this unsatisfactory because power loss in a conductor can be written as either $P = I^2 R$ or $P = V^2 / R$. – DanielSank Sep 17 '16 at 14:15
• @DanielSank Note that $V$ indicates the voltage drop over the transmission line, not the potential w.r.t. ground. Just because there's a equation that 'looks right', doesn't mean it's how the equation should be applied. – Sanchises Sep 17 '16 at 15:19
• @sanchises I know that, but other readers might not. This is a very common source of confusion for lots of students. Jamie's answer doesn't clarify this issue at all, which is why, as I said, I find the answer unsatisfactory. In particular, any discussion of an electrical circuit needs an annotated diagram which uses the same notation as the equations. Anything less leads to confusion in my experience. – DanielSank Sep 17 '16 at 15:22
• @DanielSank Fair enough (although personally I feel that the answer doesn't have to address all equations that could be misinterpreted, but I can understand you feel that this particular difference should be included) – Sanchises Sep 17 '16 at 15:24
• @DanielSank: my reaction to your comment is that my answer is at about page 5 in the EE101 book, while yours is around page 30. I suggest to you that a typical asker of this question might not be at all familiar with schematics or with the notation we use in the formulas. And if they're not, the implication that "you have to understand this" can cause many to just shut down, thinking the explanation is over their heads. In short I was trying to NOT use formulas or schematics. (tbc...) – Jamie Hanrahan Sep 18 '16 at 9:44

The reason we use AC is that the AC voltage is easily changed using a transformer. To change DC voltage requires complex and inefficient circuitry.

Suppose you are sending some power $P$ from the power station to the end user. The power lines have some resistance $R$ so they dissipate some of the original power as heat. Specifically the power dissipated is given by:

$$P_\text{lost} = I^2R$$

where $I$ is the current running through your power lines. If our supply voltage is $V$ then the power, voltage and current are related by:

$$P = IV$$

And if we use this to substitute for $I$ in the power loss equation we get:

$$P_\text{lost} = \frac{P^2R}{V^2}$$

The key result is that:

$$P_\text{lost} \propto \frac{1}{V^2}$$

So if we increase the supply voltage $V$ we decrease the power lost. This is why the electricity transmission lines use very high voltages. The electricity produced by the power station is passed through a transformer to raise its voltage to the $100,000$V or so used in the tranmission lines. Then when it reaches your town the electricity is passed through several more transformers to reduce it to the domestic voltage.

But changing the voltage this way only works for AC because transformers don't work for DC. And that's why mains electricity is AC.

• Actually, as far as I know, the longest distance power transmission lines are DC lines (power-technology.com/features/…) – akhmeteli Sep 17 '16 at 6:37
• Also, of course, electricity is generated by rotating machinery which likes to make AC. – tfb Sep 17 '16 at 6:59
• So it is cheaper to convert the ac produced at a power station to dc, transmit it, and then convert the dc back to ac at the consumer end. – Farcher Sep 17 '16 at 8:25
• @Farcher: There are more reasons: no skin-effect, no losses due to transmission of reactive power, no need to transmit 3 phases, no need to synchronize with the grid, and so on. There are some disadvantages of DC as well. – akhmeteli Sep 17 '16 at 8:43
• It's not clear what $P$ means in this answer. $P_\text{lost}$ is the power lost in the transmission lines, but this variable $P$ appears without definition. – DanielSank Sep 17 '16 at 14:18

This (from a now deleted page) clarifies how DC transmission lines are used for bulk power transmission:

Transmission Options

Power can be transmitted using either alternating current (AC) or direct current (DC). All modern power systems use AC to generate and deliver electricity to customers through transmission lines and then through distribution lines to where it is needed. The technology now exists to use DC for bulk power transmission.

AC electricity is converted to DC electricity for transmission and then converted back to AC electricity for distribution to customers on the AC power grid. A converter station at each end of the line is required to convert power from AC to DC and back so we can use the power in our homes, farms and businesses.

Thus for usage by the public DC has to go back to AC. The benefits of DC are better energy efficiency on long distances, and less land usage as shown in the link.

Similar statements can be found here.

From the scientific american

In the late 19th century, two competing electricity systems jostled for dominance in electric power distribution in the United States and much of the industrialized world. Alternating current (AC) and direct current (DC) were both used to power devices like motors and light bulbs, but they were not interchangeable.

A battle for the grid emerged from the Apple and Microsoft of the Gilded Age. Thomas Edison, who invented many devices that used DC power, developed the first power transmission systems using this standard. Meanwhile, AC was pushed by George Westinghouse and several European companies that used Nikola Tesla's inventions to step up current to higher voltages, making it easier to transmit power over long distances using thinner and cheaper wires.

The rivalry was fraught with acrimony and publicity stunts -- like Edison electrocuting an elephant to show AC was dangerous -- but AC eventually won out as the standard for transmission, reigning for more than a century.

Now comes the EMerge Alliance, a consortium of agencies and industry groups that thinks DC will make a comeback. With so many portable electronic devices and large electricity users like data centers running on DC, the technology can fill a growing niche while cutting energy consumption.

It is worth reading the article.

Generators deliver AC and technology gave us finally AC devices and thus AC dominated. This seems to be changing.

• The first link seems to be broken. – Denis Kniazhev Sep 23 '17 at 15:20
• @DenisKniazhev thanks, the page has been deleted. i give a similar link. – anna v Sep 23 '17 at 15:31