electric VTOL

=aircraft

 

 

There are now many startups and some automobile companies working on electric VTOL aircraft for short-range human transport. That's certainly something you can do; the problem is, that ends up being worse than a conventional helicopter in almost every way.

Some executives and investors saw quadcopter drones and wondered if you can use the same system to transport people. The answer was, you can, but the range is quite short. The proposed solution was transition from vertical takeoff to horizontal flight, and that's a relatively unexplored type of aircraft so the proposed designs vary widely.

You could also reach the same approach from the other direction. Horizontal-takeoff electric aircraft exist, but their range is much shorter than conventional aircraft. Because range is short, they would be used for short trips, which makes VTOL necessary, which makes range even shorter, but there's still a market for that.

 

 

The most successful VTOL aircraft that transitions to horizontal flight is the V-22 Osprey.

The V-22 has 0.426 kW of power per kg of takeoff weight. Gas turbines can produce 10 kW/kg, so their weight is acceptable - in fact, I think the gears in the V-22 weigh more than the engines.

Electric motors are typically 3 kW/kg or less, and there's a tradeoff between power-weight and efficiency. That's still OK; the bigger problem is batteries. Li-ion batteries are typically specified for 1C discharge rates, meaning their full capacity is discharged in 1 hour; 2C means discharge in 0.5 hours. Supposing (200 Wh/kg) capacity and 1C discharge, that's 0.2 kW/kg.

Most helicopters have lower power-weight ratios, typically ~0.2 kW/kg, but they can't transition to forward flight; there are tradeoffs involved, and the V-22 wasn't designed by complete fools.

How, then, do quadcopters fly? The answer is, they use batteries with higher discharge rates. But of course, there's a reason Li-ion batteries are typically used at 1C. If you want 3C batteries, capacity goes down a bit and cost goes up a bit, but the biggest sacrifice is cycle life: most quadcopter batteries are only good for 100 to 200 cycles.

 

 

Let's suppose you spend $200/kWh on high-discharge-rate batteries, and they last 200 cycles, then that's $1/kWh just for batteries. Let's say $1.10 including the electricity.

If you compare that to a 40% efficient gas turbine, the batteries are more expensive than buying fuel. That's not even considering the reduced payload fraction with electric aircraft.

How expensive is that, overall? Let's say 1 passenger and their accomodations takes 200 kg, and that payload requires 60 kWh of batteries. If a trip is a full discharge - which it wouldn't be, for safety reasons - that would be $66 per trip per person, just for batteries and electricity, not including the labor of actually swapping the batteries.

That might be acceptable for short-range transport in eg NYC, but aircraft also have other costs. Normally, aircraft manufacturing and maintenance is very expensive. That's not a problem for small quadcopters because they're mechanically simple and occasional crashes are acceptable. VTOL with transition to horizontal flight means mechanical complexity. Carrying passengers and being large enough to destroy a house means crashes aren't acceptable. So, manufacturing and maintenance would be expensive.

It's true that batteries and electric motors are cheaper than gas turbines and turbofans. Turbofans are perhaps $1/W. Batteries are perhaps $0.10/W. High-performance electric motors might be another $0.10/W, and of course there's a tradeoff between power-weight ratio, cost, and efficiency. Then you need gears and propellers. The overall cost is still lower than a turbofan, but the lower payload ratio ends up making net purchase cost per payload higher than a turbofan. Of course, good turbofans are also large: you generally want at least 1 MW gas turbines for good performance, with the minimum scale set largely by the need for cooling channels inside the blades of the first turbine set after the combustion chamber.

 

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Now, let's look at some specific proposed designs.

 

 

Hyundai

Here's a video showing a mockup of their aircraft.

There are 2 basic approaches to vertical lift for such aircraft:

1) tilting rotors with variable pitch
2) 2-blade fixed vertical-lift rotors that stop after transition to horizontal flight, pointed forwards for reduced drag

 

You can see that Hyundai's design uses both: 4 tilting rotors with variable pitch, and 4 pairs of fixed-pitch vertical rotors. The tilting rotors use 5 blades, which I seriously doubt is a better choice than 3. The fixed rotors come in pairs, on both top and bottom; usually that's used for counter-rotating rotors, but Hyundai has them rotate in the same direction to effectively get a 4-blade rotor that can be stopped in a low-drag position. I suspect that counter-rotation is still better.

Why would you mix rotor types like that? More lift is needed than thrust after transition, so tiltrotors have excess thrust capacity. This design uses enough tiltrotors for forward thrust, then adds fixed rotors for enough vertical lift for VTOL.

 

 

Wisk

Here's their aircraft design. You can see they have 6 tilting rotors and 6 fixed rotors. That's a lot of rotors, more than Hyundai decided on. When you increase the number of rotors and decrease their size, what are the effects?

 

advantages:

- more redundancy
- lower torque -> lighter gearing

 

disadvantages:

- more complexity -> higher cost
- more complexity -> higher chance of a failure
- smaller propeller blades -> lower Re -> lower efficiency
- smaller motors -> lower motor efficiency
- higher % of airflow blocked by the airframe -> lower lift efficiency

 

Wisk wanted to cover the whole wing area with propellers in front, which is called distributed propulsion. There are some aerodynamic advantages to that, but I think they're outweighed by the drag of the fixed propellers at the rear.

 

 

Lilium

Here's their aircraft design. You can see that Lilium uses ducted fans, all of which tilt. The general rule with ducted fans is that, while the duct improves fan performance, it's not worth the weight and drag unless you're close to the speed of sound or reducing noise is very important. Most modern aircraft use turbofans, which are ducted, but there are a couple other considerations there: using a large propeller instead would require heavy gears, and the shroud provides containment so that if blades come off they don't go into the passenger compartment.

That configuration can effectively give very high coefficients of lift, so maybe it's reasonable for a STOL aircraft, but for actual VTOL it just doesn't seem like a good idea.

 

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In conclusion, all of those designs seem worse than making a miniature V-22 with electric motors instead of turbines (and less payload and range) and I say that as someone who has a lot of problems with the design of the V-22.

 

update: "Conceptual Design of Tiltrotor Aircraft for Urban Air Mobility" is a 2022 NASA paper that validates my views here, showing tiltrotors having lower costs (than aircraft with separate lift and propulsion systems) for both fueled and electric aircraft, and electric aircraft having higher per-trip costs than fueled ones. It also finds that transverse helicopters are better than quadrotors, as I'd expect.

 

 


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