That's an average of 10 kwh/day per car.
275 million cars X 10 kwh/day --> 2.75X10^12 wh/day. Per hour, 1.146X10^11 wh/hour --> 114.6 gigawatts.
Needing 115 GW extra generation capacity doesn't seem insane. Air conditioners in the US probably use 200 GW.
Let's start with a useful number. How much energy does something like a Tesla Model 3 require, on average, per year?
I am using this article for the data:
https://cleantechnica.com/2019/08/12/tesla-model-3-owner-dri...
The owner drove just over 15K miles in 12 months and bought about 5200 kWh that year.
The reason the average numbers I use are higher than this number is simple: I can guarantee you that vehicles like the electric Ford F150 will require far more energy, probably twice as much. We already know that the Mustang Mach E requires more energy per mile than a Model 3.
When we say 300 million vehicles, we are not talking about 300 million Tesla's. There will be a wide range of vehicles, from large trucks to minivans, cargo vans, large and small SUV's, performance cars, commuter cars, etc. And then we have to include semi trucks and large commercial trucks. The average energy-per-mile figure isn't going to be that of a Model 3.
However, for the purpose of a discussion, I'll go with the number from the article for a Model 3. In fact, because I want simple numbers, I'll round it down from 5,200 kWh to 5,000.
So, the for the entire year we need to pump back 5,000 kWh into the car.
How long is a year?
Hmmm. People don't drive the same distance every day. We have to be VERY careful not to average ourselves into an artificially low power requirement number. Please note I am using upper case for highlight because this doesn't really do the job. Not yelling at you.
This point deserves highlighting: This issue is about POWER generation, not energy.
For those who might not be comfortable with the concepts:
A 1,000 W light requires 1 kW of POWER every instant it is on. If it happens to be on for one hour, it will have used 1 kWh of energy. Ten hours, 10 kWh.
If I have a thousand 1 kW lights I need 1 GW of POWER every instant the lights are on. It doesn't matter if they are on five seconds or three days. I need a gigawatt. Energy is a function of how long the lights are on. A kilowatt-hour means you used 1 kilowatt of power for one hour, not five minutes.
OK, back to cars.
This is why "How long is a year?" matters. There are three possible answers to this:
200 days, 365 days or some complex formula that accounts for average weekend driving.
There are roughly 200 working days in an year, which is when most of the driving happens. Put a different way, this is when people will most likely drain their batteries the most.
The difference between 200 and 365 is massive. It's almost double. This is significant because the next question we have to answer is:
When do people charge and how much?
The Model 3 owner from the linked article didn't have one massive 5,000 kWh charge on January 1st. to then drive the entire year. That would require a battery the size of a large building.
For the purpose of modeling we have to either choose to develop a complex model, one where we divide the population into behavioral groups and assign a wide range of utilization and charge scenarios to each group. That's a lot of work when all you are trying to get is a sense of proportion rather than an accurate answer.
I think it's sensible to pick 200 days as a starting point. That assumes all of the driving is done during the week and ignores the weekends. We can look at the 365 day case as well and compare notes. This is why throwing this into a spreadsheet is useful.
I spent some time discussing power because this is what we are after. If I now take the annual 5,000 kWh baseline from the article and divide it into 200 days, we get 25 kWh per day.
That's the energy you need to pump into the car every one of those 200 days. However, you are not going to be plugged in for 24 hours. The more likely scenario is that you are going to plug in after work while you sleep. The assumption I have made is that the average car will be charged in eight hours.
So, that means you have to deliver 25 kWh in 8 hours. Which means you need 3.125 kW of POWER. Here's where the difference becomes important, if you could charge 24/7 you would only need a little over 1 kW of power. Because we can't do that, our power delivery system would have to provide us with THREE TIMES the power when compared to averaging over 24 hours.
What if we charge every day for 8 hours each day? 5000/365 = 13.7 kWh per day. That means 1.7 kW of power for eight hours.
Now we have two scenarios we can compare:
200 day year -> 3.125 kW power for 8 hours
365 day year -> 1.7 kW power for 8 hours
How many vehicles would be charging simultaneously?My simple model states that the minimum is around 188 million and the maximum would be 300 million. This is a model where I divide the fleet into time-zone groups, each of which starts charging the entire fleet for that time one hour after the prior time zone. A simple model, yes. I am just trying to get a sense of proportion here. A more accurate answer would require regional as well as behavioral modelling. For example, places like New York and Los Angeles are going to behave differently from Las Vegas, NV or Wakefield, MA.
What matters is the peak power requirement, not the minimum --unless we are willing to ration electricity.
Two scenarios then, 200 day and 365 day year and 300 million car peak utilization.
200 day year -> 3.125 kW (power) x 300M cars = 938 MW
365 day year -> 1.7 kW (power) x 300M cars = 510 MW
In other words, at a minimum, given this model, we would need an additional 500+ megawatts over and above current utilization, with the peak being over 900 megawatts.Now it is necessary to put this into context. A typical nuclear power plant produces 1 MW of POWER. In other words, we are talking about needing somewhere in the range of 500 to 900 new nuclear power plants.
We can't say something like "air conditioning alone uses x megawatts" because we don't get to use that power for cars. That power is an existing requirement. In order to have 300 million electric vehicles we need to ADD power generation AND transmission capacity throughout the country.
That's the other part of the story that is often waved over. Moving an extra 900 megawatts of power isn't something one can assume the current infrastructure can handle at all. Here in CA we are already struggling with blackouts and forest fires caused by a range of issues, including the aging power grid. We should not hand-wave our way around the realities of what we are facing if we want this electric vehicle future.
So, 500 to 900 nuclear power plants. That means, just guessing, somewhere between 5 to 20 per state (some states will need more than others). Well, we can't build ONE nuclear power plant in, say, ten years. If we want to go full electric in 30 years we would have to build 15 to 30 nuclear power plants per year, every year, for the next thirty years.
I'll repeat what I said in my prior post: Even if I am off by a factor of 2 to 10, the problem is of massive proportions. At the low end it means we need 50 nuclear power plants (off by a factor of ten and using the low estimate). At the high end we need 900 of them, if not more.
All I see out there is hand-wavy, blue-sky, just install solar panels wishful thinking. Not a single honest mathematical model in sight (that I know of).
The important take away is that, while range is about energy, the reality of charging is that it is about power. It is far too easy to fabricate numbers that are artificially low by making assumptions like 24/7/365 charging and that nobody ever wants or needs to pump the aforementioned daily requirement of 25 kWh into their vehicle in just one hour, something that requires EIGHT TO TEN TIMES MORE POWER (due to losses) than when charging in eight hours.
I think you've got things confused by about an order of magnitude here – 1 GW per nuclear power plant sounds more like it.
(Also for comparison's sake – an electric train can use up to a few MW when accelerating under full power, and you certainly don't need multiple nuclear power stations to power just one measly train)
I invite you to run through your own calculations. I actually WANT to be wrong. I just don't see what I am missing. Again, this is about developing a ROM (Rough Order of Magnitude) model. The difference between 50, 100 and 300 nuclear plants is almost irrelevant. Why? Because we can't even build a single nuclear plant in 10 to 25 years, which means that a ROM requirement of ten, twenty or a hundred nuclear power plants might as well be a million.
In the US, we are at a point in history where we can't build anything of any real scale. The best example I have of this is the failed high speed train in California. A project sold to voters as a ten billion dollar price tag. It is now at a hundred billion, only about ten miles have been built. These ten miles are unusable (not in service as far as I know) and are far from being high speed by any definition of the term. Some think this thing will be a trillion dollar disaster, if it is ever completed.
In this context, we actually think we can add hundreds of gigawatts to our power generation system? The only way to do is is through nuclear power. Which means it is a fantasy. Unless our culture, philosophy and politics changes radically we just can't do it.
Here's another ROM calculation. Let's keep to California. We have just over 31 million cars and trucks [0].
Since this is a ROM calculation, I'll start with the assumption that everyone gets home and plugs into a Type 2 charger.
Type 2 chargers typically deliver 3 to 5 kW of power.
How much power will we require at 6:00 PM PST when everyone gets home and plugs in?
3 kW x 31 million = 93 GW
5 kW x 31 million = 155 GW
It does not matter if people charge for one hour or eight, if they are all pulling 3 to 5 kW from the grid, you have to have the ability to supply this kind of power instantly or power outages and other ugly things will be the consequence.OK, this was a ROM calculation. Right? What if only 10% of these vehicles plug in every day at 6 PM. What then?
3 kW x 3.1 million = 9.3 GW
5 kW x 3.1 million = 15.5 GW
How much power generation capacity do we have in CA? [1]Refer to the table titled "Installed In-State Electric Generation Capacity by Fuel Type (MW)"
In 2020, it's about 80 GW. Also, note that half of it comes from burning natural gas and only just over 2 GW from nuclear.
Here's where we have to understand that we don't build infrastructure to be able to supply two times the power we need. The cost of doing so would be staggering. In other words, we don't have another 2 GW of nuclear power sitting around waiting to be used. Hence the blackouts and other issues we have throughout the state.
My guess is that we are likely at 80% peak utilization. For many years now we have been asked to limit use of air conditioning and power in general or risk blackouts. In fact, rolling blackouts are kind of a normal thing in CA these days.
Is it realistic to assume to only 10% of all electric cars and trucks in CA will plug in on any given day? Likely not. Put a different way, the longer these vehicles wait to recharge the worse the power deliver problem becomes. If they plug in every day they might only need power for a couple of hours. If everyone waits until the weekend to plug in, they might need to sit on that charger for eight to ten hours and the stress to the power grid would be compounded.
I like to use nuclear power plants as my unit of measure because they are about 1 GW. The ROM calculation above says we need from ten to 155 new nuclear power plants to be built in CA in order to support simultaneous class 2 charging by some portion of a vehicle fleet where every single vehicle has been switched to electric power, no more gasoline or diesel at all.
I think the low end of this ROM calculation isn't reasonable. The same is the case for the high end. The answer likely lives somewhere in the middle of this range. One thing is certain, we need to add a very serious amount of generation capacity, likely in the many tens of gigawatts.
We might have to DOUBLE our current power generation capacity. Double it.
How do we do that?
Well, being that half of it comes from natural gas, maybe we build more plants and burn more of it. How is that for being "green"?
Solar?
I don't think so. Most of the solar capacity in CA is installed on homes. In general terms, these rooftop systems are sized to cover the energy needs of the home. Most of my neighbors have systems that are barely adequate enough to cover their needs, which means they have nearly zero excess capacity. So the rooftop-solar-powered electric car charger is mostly a fantasy for most. Most of the systems in my neighborhood are around 6 kW. This does not mean they actually deliver this kind of power, not even at the peak.
I designed and installed my own system, which consists of 40 panels, for a theoretical total of 13 kW. At the absolute peak of the season I might see 10 kW. Yesterday the peak was just over 8 kW [2]. This is due to a combination of the time of year, clouds, shade and dirt on the panels. As you can see, the curve has a nice 45 degree-ish slope both going up and down. By 6 PM (coming home time) I am at about 2 kW. Most of my neighbors would be lucky to generate 1 kW at that time.
As for energy generation, this is July [3], a peak of about 57 kWh. June [4] was a little bit better, with a peak at 65 kWh. May [5] had a peak at 69 kWh. April [6] was the best month, with a peak at 72 kWh.
You might note that every single month had several days of really low energy output. This is usually due to weather, clouds or such things as fires reducing the photons that can reach the panels. For example, while April provided a nice 72 kWh peak, it also had a day where the best we did was 24 kWh. May was the best month so far this year, with 1.9 MWh total energy generation [7].
This is all to say that the reality of solar is very different from the fantasy of solar. Most people who do not have solar think of it as some magical energy source that gives and gives and gives. Not so. And, when it comes to electric vehicles, the problem becomes that you don't have it when you need it. Sure, there are all manner of accounting credits that come into play. Explaining the mess that is TOU billing in the US would take-up another post, if not five.
What do you do when you expect to generate 72 kWh and you only make 24? The power grid has to be ready to supply your needs. No problem, solar energy sharing from neighbors will take care of it locally, right? Not so. Most homes have small systems. In my neighborhood there are probably only two or three homes generating at my level. Which means we are the only ones with real excess capacity. When the clouds come in, nobody has power to share, not even those of us who produce twice as much as the rest.
Without storage solar isn't very useful for electric car charging. And storage at the home is a foolish investment from a ROI perspective. Not there yet. Believe me, I want to turn my home into a massive solar-powered UPS. I studied this when I engineered my system and it is ready for it. It just does not make sense at all at the moment. It would be far more logical to add another ten panels than to buy batteries.
Anyhow, not to go on a tangent here. The point is that the step change in power requirement to support millions of electric cars isn't going to come from solar at residential rooftops. And, even if we installed massive grid-scale solar, the curves and generation issues you see from my system will still create issues. The only way they might be able to mitigate this would be through energy storage and, at this time, this is a high cost fantasy. I have high hopes that iron-based battery technology --which stands to be 10x cheaper-- might become a reality we can all benefit from.
The other issue with solar is that neighborhoods are turning against these massive installations anywhere near their town. A few weeks ago I read a story about a massive installation that is being taken down (at great loss to all investors) because the neighborhood sued with a claim of taking a hit to home values due to the unsightly visual of thousands of panels on a hill. As is always the case, reality is far more complex than most think and it can't be reduced to a single variable.
BTW, an order of magnitude is 10x, not 1,000x.
[0] https://www.dmv.ca.gov/portal/file/estimated-fee-paid-vehicl...
[1] https://www.energy.ca.gov/data-reports/energy-almanac/califo...
[2] https://i.imgur.com/LTMNDO1.png
[3] https://i.imgur.com/CfcIt7o.png
[4] https://i.imgur.com/WEvCkse.png
[5] https://i.imgur.com/NJajGwU.png
Most people (not even fully) fill their tanks every couple weeks. Even when I had an extremely long (an hour each direction) commute, I was only filling up every 3 days. I've gone over a month between fillups when I lived nearby to where I worked.
On the low end you're at least 3x off. On the high end you're at least 14x off.
https://news.ycombinator.com/item?id=27978080
Also, don't make the assumption that every electric vehicle will require the same energy per mile as a Tesla does today. It is easy to see that something like an electric F150, Suburban, Jeep, Toyota Sienna (minivan), commercial cargo van, commercial truck or big rig will require far more energy on average and far more power to charge if charging is to happen within a reasonable period of time (30 minutes to 8 hours, depending on utilization profile).
While I do not claim my simple model to be accurate, even with a large error we still are looking at having to build a massive number of nuclear power plants in order to support this electrified ground transportation future. We can't even build one new power plant. How are we going to build 50, 100 or more?
My fear is that the hand-waving that is going on out there will result in a reality where the well-to-do will be able to drive electric cars and everyone else is going to get stuck having to drive conventional vehicles.
If we don't get serious about adding a serious amount of power generation capacity we will ultimately face an asymptotic relationship between cars and electric power. This will limit the viability of electric cars, which will limit sales, which means prices will remain high and the cost of electricity will skyrocket. On top of that, oil prices are likely to go up at the same time, which means the poor, lower-middle and even middle class will get royally shafted at every conceivable level.
And, BTW, as I said in my original post, even if I am off by a factor of ten, we need 300 nuclear power plants. I'll take your 14x suggestion and take up a notch to being off by a factor of twenty. That's 150 nuclear power plants. Someone needs to explain how that is even remotely possible.
EDIT:
This is important. Most people make the mistake of thinking about energy rather than power. This idea of filling-up one a week vs. every day is great...when what you are doing is pumping a liquid. If what you are pumping is electricity, well, there is no free lunch. The energy you did not pump into the batteries every day of the week will need to be pumped into them on Sunday. Rough numbers means you need seven times more power in order to achieve this when compared to charging a little bit every day.
As I have been saying, most people have hand-wavy conversations about this, which means they develop the wrong model for the of electric charging. You have to sit down and make an attempt at a half-way honest model of what it would be like to charge hundreds of millions of electric vehicles of different kinds under reasonable usage regimes. Some people will charge every day for eight hours to top off. Others will need to top off in half an hour. And, yes, some will charge on Sunday (or whatever). In the end, physics is physics, and the mathematical results do not get better if you charge once a week, they get worse, much worse.
Power transmission is neither free, trivial to implement, or perfectly efficient. The more power you are moving somewhere, the more dangerous and costly the "pipe" you use to get it there. If you look at residential situations, it isn't hard to find households with >3 cars. Is everyone plugged in at once? Who gets the fast charge? Can the house handle it? Can the neighborhood handle everyone doing it at once?
What happens to residential electric? Do we start doubling up on transformers? One to keep the Electrician's codes from having to change, and one to feed auto chargers? What does that mean for linemen/women/people? How does the increase in higher power transmission lines affect the biosphere?
What happens the first time a feed or arterial link goes down? You can ship gas, electricity, not so much, especially if swappable batteries are not a thing?
How about equipment? Cars aren't the only things that use gas, Gotta count in charge maintenance and battery attrition there too as well as consumption.
What happens when the almighty Centralized Generation(TM) goes down? How decentralized is our generation going to get? How do we ensure the grid can be maintained safely without linefolks also having to go house to house to isolate them from the upstream grid they need to work on?
Electricity, despite the near magical experience of the layperson, is frigging complicated, and it's successful deployment has been built on a lot of interconnected assumptions, standards, and what have you. If the transition is slow enough, I figure we can spread answering all of these questions over the span of a generation or so; but I'm really uncomfortable with the optimism of people going "we JUST need to go electric".
Hell, all of that has to be considered on top of increased need for power for climate control, the possibility of higher temps leading to actively having to mitigate water shortages or any of the other myriad of other knock on effects nobody has wracked their noodle enough to realize may be a problem yet
I like to say that reality is a complex multivariate problem. Reducing it to a single variable --which is what you see out there nearly 100% of the time-- is, at best, a complete misrepresentation of what solving real problems in the real world looks like.
I avoided adding layers of complexity to my simple model because all I was after was a sense of the scale of the problem rather than an accurate number (not sure that's even possible).
Once you start to add power system transmission, conversion and delivery efficiencies the problem quickly grows. On average, the energy loss from power generation to delivery is in the order of 6%. This might not seem like much, yet all of that power is converted into heat. Which means that if we need to deliver 500 GW to homes, we actually need to generate 532 GW, of which 32 GW will be converted to heat.
I have no clue what this means because I don't yet have a sense of proportion on such matters. That is is a very large amount of energy being wasted goes without saying. I can't really voice an opinion beyond that other than to highlight that this is yet one of the other variables that needs to be considered.
Power conversion systems and charging circuits (in general, switch-mode power supplies) of course have losses. SMPS efficiencies (I used to design them) are in the 85 to 95% range. It's a complex combination voltage and current that produces switching losses. At higher voltages you can be more efficient, however, because we are drawing such high currents the losses quickly mount. In the end, you are going to convert another 5% to 15% of all of incoming power into heat.
So, if cars need 500 GW and chargers are, say, 90% efficient, the total power delivered to the building connections will have to account for the 6% transmission and delivery loss and 10% SMPS loss. This starts to add up fast. Now we need 591 GW and will convert 91 GW of that into heat (the aggregate efficiency being 84.6%.
I could go on. This is not a simple problem. And those who just hand-wave and say stuff like "solar and wind can handle it" can only do so because they have not devoted a single minute to doing some pretty basic math before forming --or believing-- these flawed ideas.
My intuitive guess is your simple model is wrong, but I'm not an expert.
Here's an analogy that might convey the nature of the hand-waving:
A typical home swimming pool requires 20,000 gallons of water. Let's say the average flow rate of a good quality garden hose is 20 gallons per minute. That means you can fill that pool in 1,000 minutes, or, about 17 hours.
Can you fill the pool in 8.5 hours if you use two hoses?
No.
Why?
Because your plumbing will establish a limit on just how much water you can flow per unit time.
Anyone who has ever dealt with plumbing understands this. In some installations, if you flush the toilet and someone is taking a shower they get burned because less cold water flows to mix with hot water. In my home, when the sprinkler system is on there's a marked difference in flow rate everywhere in the house.
What if a thousand of your neighbors want to fill their 20,000 gallon swimming pools simultaneously? Could they?
Very likely not. Well, not in 17 hours. The large pipes supplying water to a neighborhood have a flow rate limit as well. Under normal usage they are adequate for the usage profile of a certain number of homes in a neighborhood.
Are these pipes designed and specified to manage twice that design rate? Likely not. And certainly not five or ten times.
Most neighborhoods in the US are supplied with drinking water from large water tanks strategically located higher than the homes they service. This isn't universal across the entire nation but it is very common.
Here comes the next problem. Filling a thousand 20K gallon swimming pools requires two million gallons of water. This, over and above the water required for all the other things people do with water, from drinking to flushing the toilet.
A typical neighborhood water tank might hold one or two days of water, as defined by the typical usage for the area. It certainly does not hold an extra two million gallons to dispense over 17 hours.
As the water level decreases due to either normal or abnormal usage, pumps are engaged to maintain water level. Once again, these pumps are sized for typical usage as it might pertain to the specific installation. They are not sized to provide a massive step change in water pumping from the main aqueduct into the neighborhood tank.
As you can imagine, this analysis can extend beyond neighborhood tanks and explore issues with aqueducts, water treatment plants, etc.
What these articles do is they say something like "the world capacity is N GWh. We need 1/2N GWh for electric cars. We only use 1/2N for everything else. We have what we need."
Well, no. We don't.
There's also a confusion between power and energy. Power is energy per unit time. Put a different way: There's a huge difference between walking a mile and running a mile. What these articles ignore is that the electric car charging problem is like the neighborhood swimming pool issue. When everyone in the neighborhood wants to charge their cars in eight hours or less, what you need isn't just the energy (the water level in the pool), you also need power, you need to be able to deliver a lot more gallons per minute at every home, street, neighborhood, town, city and region. Exiting power plants cannot do this.
Furthermore, by definition, if we want coal power plants to deliver twice their average power to charge cars, you have to burn at least two times the coal you were burning before. Hence me reaching for nuclear power plants...because any other option would be somewhere between unrealizable (the plant just can't produce twice the power) to unthinkable (pollution).
Put a different way: Let's say your city is fed by a 1 GW nuclear power plant today. Everyone is driving gasoline cars. Median load factor for nuclear power plants is in the order of 80%. That means you only have a 20% excess capacity. Now everyone buys electric cars and, of course, everyone wants to charge them as quickly as possible, with some willing to wait overnight. Well, your power plant will not be able to supply this extra power. We don't design power plants to be twice or three times larger than what we need. Which means you'll need to build one or two additional plants as soon as possible.
I have yet to see a study of model of electric car charging energy and power requirements that passes the physics test. Lots of hand-waving and "trust me, I am a <insert appeal to authority>" but no numbers. Science is about numbers.
My attempt isn't complete at all. However, like I said, even if I am off by a factor of ten, we have a problem. Heck, we likely have a problem if I am off by a factor of 20.
I think what everyone is counting on is everyone covering neighborhoods with solar power. As the owner of a 40 panel array I built myself to, among other things, power my CNC shop and, after expansion, support electric vehicles, I can tell you without a shadow of a doubt that the idea of a clean solar future for electric cars is a fantasy. My energy logs say so. I would need somewhere in the order of three to five times the array to truly be "green" as far as electric vehicle charging would be concerned. Any way you look at it, that is impossible.
You've obviously thought about this more than I have so I don't have much to say - I'm just skeptical of answers like this since I think they often turn out to be wrong. Not very satisfying, but I guess we'll see what ends up happening.
When there’s demand, capitalism and markets are usually pretty good at solving for it.
I modeled a rolling scenario where 1/8 of the fleet starts charging every two hours. It isn’t a perfect model, of course. The intent was to simulate both time zones and people coming home from work at different times.
If we accept the above and add the idea that people will charge at work for an additional eight hours, for a total of 16, then power requirement is cut in half. This would still require a massive increase in power generation and delivery capacity.
And then, of course, there’s a percentage of the population that will need to charge fast. That means half an hour.
The problem is power. Energy can be delivered over time, power is instantaneous. We don’t have enough power.
While I agree that entrepreneurs often find a way, we still haven’t come up with a way to violate the rules of physics. That’s a hard limit.
I find it really interesting how people tend to repeat these "facts" over and over again and nobody fires-up Excel to go through some math and see if any of it makes any sense. I have. And I can't see how the infrastructure can possibly support a transition to a fully electric ground transportation system, well, ever.
Basic numbers:
How much power do we need to support the entire US fleet of cars going electric?
The simplest assumption is one where 100% of the fleet uses 8 hour long charge cycles:
This isn't realistic, you are not going to have 300 million cars charging simultaneously during the same eight hours. Or, are we?If every hour we have, say, 1/8 of the entire fleet plug in for eight hours to charge, what's the maximum number of vehicles that will be charging simultaneously at any point in the day? The assumption is that car will charge for eight hours and be off charge for 16.
Well, eight hours into the day we will, in fact, have 300 million cars charging simultaneously. After a full 24 hours from the start of this approach, the minimum number of cars charging simultaneously will be 187.5 million and the maximum 300 million.
So, yes, at peak utilization we will will have 300 million cars, requiring that we deliver 50 kWh in 8 hours, which means a peak requirement of 1,875 GW.
This means we need nearly two thousand giga-watt class nuclear power plants to support a fleet where 100% of the vehicles will slow charge.
What happens when some percentage of the fleet needs to fast charge? I am defining fast charging as delivering 50 kWh in 30 minutes:
Now we need 2,700 giga-watt class nuclear power plants in order to be able to deliver the power needed to support the bulk of the fleet slow-charging and the remainder fast-charging spread across the day.TWO THOUSAND SEVEN HUNDRED nuclear power plants.
Even if I am off by a factor of ten (I threw this together and it is very simplistic), that means nearly 300 nuclear power plants to be built in, say, 30 years. We have to build ten per year and we had to get started yesterday.
This is the kind of thing I look at when I talk about not reducing reality to single variables. The amount of energy we delivery by using petroleum is of a scale that is hard to imagine. To go electric we have to find alternative means to deliver some percentage of that energy (because electric cars are more energy-efficient than IC vehicles) to every car on the road every day. This task is far from being simple. Beyond that, the unmitigated mess that US politics has become over the last few decades virtually guarantees we cannot build a single nuclear power plant, much less ten, fifty or a hundred.
I think we are going to have some number of people driving electrics and, in the hubris of it all, we are going to ignore the fact that we are going have to burn twice or three times more coal to charge those cars every day. It has all the potential to be a larger mess than what we currently have.
I would love for someone to take the time to develop and publish a better model than my mindlessly-simple quick calculation. I know a lot of subtlety could be introduced. That said, I somehow don't think we can escape physics.
My guess is we will reach the limits of our available power generation capacity at some number in the low millions of electric vehicles, not sure that means tens of millions. At some point we will face the reality that the energy we transport today in liquid form will have to be provided in electrical form. If that happens in ten years and we suddenly decide "oh, shit, we can't make enough power!" either we get very good at building nuclear power plants at a staggering rate or the fleet of electric vehicles will reach an asymptotic balance point and that will be it for a while.
There are no alternative realities here. Physics doesn't tend to grant free lunches.
Request: I you (plural, anyone) are going to refute the above and say something like "we will use solar". Please, pretty please, with sugar on top: Do the math first. Most people don't. Hence the problem.
To repeat myself: Even if I am off by a factor of ten, the excess power generation capacity we would need to support a fully electrified ground transport system is of staggering proportions.