*off topic* Tesla and Their Sexy Electric Cars
Posted: Aug 21st, '13, 10:38
Recently Tesla is in the news with their sexy electric cars.
There was some discussion here a while back and I thought I’d do a little follow up since some of “The Faithful” showed an interest.
Tesla claims 300 miles highway range on a single charge. Is this possible? How do they do it?
Well I was skeptical so I did about ten minutes of research on the ‘net. Highly unscientific, but enough to do some “back of the napkin” calculations.
“Watts” and “horsepower” are equivalent measures of power, just different units… like knots and mph…
746 Watts = 1 hp.
A kilowatt = 1000 watts
1 hp = 0.746 kw
So lets figure “it takes what it takes” in power to move a particular vehicle down the road at 60 mph. You have to overcome aerodynamic drag, rolling resistance, and the losses of the mechanical systems like bearings and so on. From a practical standpoint you also have to do stuff like run headlights and heat or air conditioning and probably a GPS and a radio.
For a “talking point” let’s say that Tesla has done their homework and produced a car that can be pushed along at a steady 60 mph using a constant 30 hp. This is not easy to accomplish. Even harder since you have to figure they need to carry the weight of their batteries along with everything else. I start with this as an assumption. I have no hard data that it is true, but as you will see the math pretty much works out, so I think I'm close. But 60 mph on 30 horses is pretty darn good engineering.
At 60 mph it takes 300 minutes to go 300 miles.
300 minutes is 5 hours.
So you are pulling 30 hp out of the batteries for 5 hours to go your 300 miles. (assuming no electro-mechanical losses, and no accessories, which is really not any more reasonable than assuming it is a perpetual motion machine, but for now it simplifies things.)
What is this in terms of electrical consumption? How much energy do we have to put in the batteries to get this much energy out?
The answer is 30 hp X 746 W X 5 hours = 111900 Watt-hours or 111.9 kwhr
So lets back this out and see how much that is in volts and amps on an overnight charge of 12 hours:
111900 Whr / 12 hours = 9325 Watts
Watts = Volts X amps
Most of us only have 240 volts available as our highest household voltage so 9325 / 240 = 38.9 amps.
So we are charging for 12 ours at roughly 40 amps and 240 volts to get our range…. Assuming no losses in the entire process.
It turns out the Tesla markets a “twin charger” for the home at 80 kW. This is essentially twin 20 amp 240 Volt circuits in your garage hooked up simultaneously to the car get the required charge in a period of about 12 hours to be able to travel about 300 miles. (They don’t say it takes 12 hours, that is from the above calculation)
That is pretty extreme, but it isn’t totally crazy.
Many houses have a main breaker of 100 amps at 240 volts, so at least in theory it is getting close to do-able in your garage. You probably can’t run your dryer, your hot tub, your central air conditioner, and twin-charge your Tesla all at once, but hey, it is getting close provided you don’t mind charging batteries at maximum rate for 12 hours to be able to drive 5 hours…. Charging batteries at a maximum rate is tricky in itself… but lets ignore that for now.
But suppose your destination has only has ONE typical dryer outlet, you had better plan on charging for 24 hours before you drive home. 48 hours if you are going to plug into a 110 volt outlet, and longer if it is the typical 110V outlet with a 15 amp breaker.
As a sort of easy rule of thumb the typical 15 amp 115Volt USA outlet is maxed out at 2 hp. So you can do rough calculations backward if you please:
2 hp X 15 hours = 30 hp-hrs or 1 hour of driving at 60, or 60 miles range.
2 hp X 12 hours = 24 hp hours…. so you would get at best 24/30 = .8 hours traveling at 60 mph, so something like 48 miles range.
A 240 volt outlet at 15 amps is roughly twice the voltage, so twice the power in, so 12 hours charge on a single 240 V 15 amp circuit gets you up to 96 miles.
And so on. These are very rough estimates, but good enough to talk about over beers.
The only part of any calculation that is harder than those above is the hp used to travel is related in part to the speed squared…. Because of air resistance…. So going a little faster draws a LOT more out of the batteries, but going a little slower saves a lot too.
Most reviews I saw talk about range in the 200+ category, which is more believable than 300 miles but still very impressive.
However if you figure a single 240V 20A charger for 12 hours your best range (by Tesla claims) would be half, or 150 miles. And if you could only charge for 8 hours it would be about 100 miles.
Now don’t forget that all of this hen scratch math assumes magical batteries and motors with no losses. Losses are impossible to avoid. Losses in charging, in battery storage, in running the batteries and in the motors and drive train will occur. It is why we can’t put a windmill on our electric car to charge our batteries as we drive. Mother Nature just doesn’t allow us to build perpetual motion machines. Yeah, she’s a bitch. Losses happen. And headlights have to be run, computers need to check our airbags, ventilation systems need to be operated, and so on.
BUT WAIT! There’s more!
Tesla is also adding another element that is very exciting:
along the highways on both the East and West coast they are installing a network of charging stations called “Super Chargers.” You still have to cool your heels for a while as the batteries charge but at least in concept there is a place you can go to draw big amps to charge your batteries. However this still isn’t the best part;
Tesla says it is hoping to roll out on the West Coast by year end (2013) an automated battery hot swap system!
You drive into a charging station, park over a special bay, and in 90 seconds your old battery pack is gone and a new one is installed. Just like your DeWalt Driver Drill, you don’t wait around for a charge, you just swap out the battery pack. 90 seconds and you are gone with a full charge, and if it takes 15 hours for them to recharge your old batteries, that isn’t your problem…. Tomorrow someone else will get that pack, fully charged!
Now they haven’t solved the method of payment for this yet, but that is simple and will come. People have been swapping out empty welding gas cylinders and propane tanks as a way of life for generations. You never really “own” your tank, you just buy the gas in it.
Hot swap a battery pack with a 200 mile range in 90 seconds? Now we are talking about a viable system… though it is a lot of infrastructure to build.
The question is will people like it and buy it?
But a better question might be will the Tesla battery Swap System become some sort of de-facto standard?
Can Tesla license their battery pack design, conceived to be hot-swapped by automated equipment, to other potential electric car manufacturers and charging stations?
I’m still a skeptic about the ultimate popularity of PEV (Plug in electric vehicles) for highway driving. However if this system were to be widely accepted in urban centers it could be pretty darn successful.
Why urban centers? Because you spend a lot, if not most of the time stopped and drawing very little form the battery in city driving. And when you do move it isn’t at highway speed.
In an urban driving environment you are not so interested in range as duration. Add regenerative breaking to recapture some battery charge as you stop after every start and you are getting to look pretty good for a city taxi or mini-van or small service vehicle. An 8 hour + driving shift with a 90 second battery swap at the end is pretty darn good and it looks to be within reach.
Tesla has piqued people’s interest by making a sexy car, and focusing on removing objections when the public compares them to gasoline powered vehicles. But they are just selling the sizzle…. the real value here is in licenses for their hot-swap battery design with a network of urban swap-stations serving far more mundane vehicles.
IMHO If Tesla is going to make it big, that is where you will find the steak.
Peter
There was some discussion here a while back and I thought I’d do a little follow up since some of “The Faithful” showed an interest.
Tesla claims 300 miles highway range on a single charge. Is this possible? How do they do it?
Well I was skeptical so I did about ten minutes of research on the ‘net. Highly unscientific, but enough to do some “back of the napkin” calculations.
“Watts” and “horsepower” are equivalent measures of power, just different units… like knots and mph…
746 Watts = 1 hp.
A kilowatt = 1000 watts
1 hp = 0.746 kw
So lets figure “it takes what it takes” in power to move a particular vehicle down the road at 60 mph. You have to overcome aerodynamic drag, rolling resistance, and the losses of the mechanical systems like bearings and so on. From a practical standpoint you also have to do stuff like run headlights and heat or air conditioning and probably a GPS and a radio.
For a “talking point” let’s say that Tesla has done their homework and produced a car that can be pushed along at a steady 60 mph using a constant 30 hp. This is not easy to accomplish. Even harder since you have to figure they need to carry the weight of their batteries along with everything else. I start with this as an assumption. I have no hard data that it is true, but as you will see the math pretty much works out, so I think I'm close. But 60 mph on 30 horses is pretty darn good engineering.
At 60 mph it takes 300 minutes to go 300 miles.
300 minutes is 5 hours.
So you are pulling 30 hp out of the batteries for 5 hours to go your 300 miles. (assuming no electro-mechanical losses, and no accessories, which is really not any more reasonable than assuming it is a perpetual motion machine, but for now it simplifies things.)
What is this in terms of electrical consumption? How much energy do we have to put in the batteries to get this much energy out?
The answer is 30 hp X 746 W X 5 hours = 111900 Watt-hours or 111.9 kwhr
So lets back this out and see how much that is in volts and amps on an overnight charge of 12 hours:
111900 Whr / 12 hours = 9325 Watts
Watts = Volts X amps
Most of us only have 240 volts available as our highest household voltage so 9325 / 240 = 38.9 amps.
So we are charging for 12 ours at roughly 40 amps and 240 volts to get our range…. Assuming no losses in the entire process.
It turns out the Tesla markets a “twin charger” for the home at 80 kW. This is essentially twin 20 amp 240 Volt circuits in your garage hooked up simultaneously to the car get the required charge in a period of about 12 hours to be able to travel about 300 miles. (They don’t say it takes 12 hours, that is from the above calculation)
That is pretty extreme, but it isn’t totally crazy.
Many houses have a main breaker of 100 amps at 240 volts, so at least in theory it is getting close to do-able in your garage. You probably can’t run your dryer, your hot tub, your central air conditioner, and twin-charge your Tesla all at once, but hey, it is getting close provided you don’t mind charging batteries at maximum rate for 12 hours to be able to drive 5 hours…. Charging batteries at a maximum rate is tricky in itself… but lets ignore that for now.
But suppose your destination has only has ONE typical dryer outlet, you had better plan on charging for 24 hours before you drive home. 48 hours if you are going to plug into a 110 volt outlet, and longer if it is the typical 110V outlet with a 15 amp breaker.
As a sort of easy rule of thumb the typical 15 amp 115Volt USA outlet is maxed out at 2 hp. So you can do rough calculations backward if you please:
2 hp X 15 hours = 30 hp-hrs or 1 hour of driving at 60, or 60 miles range.
2 hp X 12 hours = 24 hp hours…. so you would get at best 24/30 = .8 hours traveling at 60 mph, so something like 48 miles range.
A 240 volt outlet at 15 amps is roughly twice the voltage, so twice the power in, so 12 hours charge on a single 240 V 15 amp circuit gets you up to 96 miles.
And so on. These are very rough estimates, but good enough to talk about over beers.
The only part of any calculation that is harder than those above is the hp used to travel is related in part to the speed squared…. Because of air resistance…. So going a little faster draws a LOT more out of the batteries, but going a little slower saves a lot too.
Most reviews I saw talk about range in the 200+ category, which is more believable than 300 miles but still very impressive.
However if you figure a single 240V 20A charger for 12 hours your best range (by Tesla claims) would be half, or 150 miles. And if you could only charge for 8 hours it would be about 100 miles.
Now don’t forget that all of this hen scratch math assumes magical batteries and motors with no losses. Losses are impossible to avoid. Losses in charging, in battery storage, in running the batteries and in the motors and drive train will occur. It is why we can’t put a windmill on our electric car to charge our batteries as we drive. Mother Nature just doesn’t allow us to build perpetual motion machines. Yeah, she’s a bitch. Losses happen. And headlights have to be run, computers need to check our airbags, ventilation systems need to be operated, and so on.
BUT WAIT! There’s more!
Tesla is also adding another element that is very exciting:
along the highways on both the East and West coast they are installing a network of charging stations called “Super Chargers.” You still have to cool your heels for a while as the batteries charge but at least in concept there is a place you can go to draw big amps to charge your batteries. However this still isn’t the best part;
Tesla says it is hoping to roll out on the West Coast by year end (2013) an automated battery hot swap system!
You drive into a charging station, park over a special bay, and in 90 seconds your old battery pack is gone and a new one is installed. Just like your DeWalt Driver Drill, you don’t wait around for a charge, you just swap out the battery pack. 90 seconds and you are gone with a full charge, and if it takes 15 hours for them to recharge your old batteries, that isn’t your problem…. Tomorrow someone else will get that pack, fully charged!
Now they haven’t solved the method of payment for this yet, but that is simple and will come. People have been swapping out empty welding gas cylinders and propane tanks as a way of life for generations. You never really “own” your tank, you just buy the gas in it.
Hot swap a battery pack with a 200 mile range in 90 seconds? Now we are talking about a viable system… though it is a lot of infrastructure to build.
The question is will people like it and buy it?
But a better question might be will the Tesla battery Swap System become some sort of de-facto standard?
Can Tesla license their battery pack design, conceived to be hot-swapped by automated equipment, to other potential electric car manufacturers and charging stations?
I’m still a skeptic about the ultimate popularity of PEV (Plug in electric vehicles) for highway driving. However if this system were to be widely accepted in urban centers it could be pretty darn successful.
Why urban centers? Because you spend a lot, if not most of the time stopped and drawing very little form the battery in city driving. And when you do move it isn’t at highway speed.
In an urban driving environment you are not so interested in range as duration. Add regenerative breaking to recapture some battery charge as you stop after every start and you are getting to look pretty good for a city taxi or mini-van or small service vehicle. An 8 hour + driving shift with a 90 second battery swap at the end is pretty darn good and it looks to be within reach.
Tesla has piqued people’s interest by making a sexy car, and focusing on removing objections when the public compares them to gasoline powered vehicles. But they are just selling the sizzle…. the real value here is in licenses for their hot-swap battery design with a network of urban swap-stations serving far more mundane vehicles.
IMHO If Tesla is going to make it big, that is where you will find the steak.
Peter