Week 04 · lesson

Efficiency, Heat, and Battery Demand

Every propulsion system pays for thrust.

The payment shows up as electrical power, heat, battery depletion, and reduced operating margin.

That means two motor–propeller combinations can produce similar thrust and still behave very differently over a mission.

Power is not the same as useful output

Electrical power can be approximated with:

power = voltage × current

If a fictional propulsion test uses 14.8 V and draws 10 A:

14.8 V × 10 A = 148 W

That tells you the electrical input power at that operating point.

It does not tell you that all 148 W became useful thrust. Some energy becomes heat in wiring, ESCs, motors, connectors, and the battery. Some mechanical energy is lost through aerodynamic inefficiency.

Efficiency is about the relationship between input and useful output.

Compare setups using mission-relevant evidence

Assume a classroom dataset provides these fictional results from three propulsion combinations. These numbers are for analysis only.

SetupElectrical powerStatic thrustMotor temperature trendEstimated endurance effect
A120 W650 glow riselongest
B155 W790 gmoderate risemedium
C205 W850 ghigh riseshortest

If the mission only requires about 700 g of thrust per motor, Setup C may be a bad choice even though it produces the highest thrust.

It consumes much more power for a relatively small increase over Setup B.

That difference is the shape of an engineering tradeoff.

Heat is information

Heat is not automatically a failure. Electrical and mechanical systems normally warm under load.

The important questions are:

  • how quickly is temperature increasing?
  • does it stabilize?
  • is the observed temperature inside the approved component limit?
  • did the configuration change increase heating compared with baseline?
  • is the heat appearing where the model predicts?

You should not invent safe temperatures for real motors, ESCs, connectors, or batteries. Use manufacturer documentation or a supplied approved limit.

In a classroom evidence exercise, focus on the trend.

A system that suddenly runs much hotter after a propeller change is giving you a clue that load increased.

Battery demand is dynamic

A battery is not an ideal voltage source.

Under load, terminal voltage can drop. As current rises, losses inside the pack and wiring rise too. The exact behavior depends on chemistry, condition, temperature, internal resistance, state of charge, and the rest of the electrical path.

For our systems model, remember:

higher current demand → faster energy use + greater electrical stress + more potential heating

That is why a propulsion change can shorten useful mission time even if the battery capacity label does not change.

A simple endurance comparison

Suppose a supplied dataset says a fictional battery has 5 Ah of nominal capacity and two hover configurations draw different total current:

  • Configuration A: 18 A total hover current
  • Configuration B: 26 A total hover current

A very rough idealized comparison is:

hours = capacity (Ah) / current (A)

For A:

5 / 18 ≈ 0.28 h ≈ 17 minutes

For B:

5 / 26 ≈ 0.19 h ≈ 12 minutes

Those are not flight-time promises. Real missions use reserve margins and experience varying current demand. Battery capacity is also not fully usable under every condition.

The calculation is useful because it shows direction: higher average current reduces endurance.

Worked trade study: inspection mission

A team is selecting between two fictional configurations for a slow roof-inspection mission.

Setup A

  • lower hover current;
  • enough thrust for the required payload;
  • moderate climb performance;
  • lower heat trend.

Setup B

  • stronger acceleration;
  • higher hover current;
  • higher motor temperature trend;
  • shorter estimated endurance.

Which setup is better?

For a slow inspection mission, Setup A is probably the stronger engineering choice if it still satisfies wind, control, and payload requirements.

The mission values endurance and steady positioning more than aggressive acceleration.

For a different mission, the answer could change.

That is why “best motor” is a meaningless phrase without a mission context.

Create an efficiency evidence note

Use a supplied propulsion table and compare at least two configurations.

Your note must include:

  1. electrical power or current demand;
  2. thrust produced;
  3. thermal trend;
  4. predicted endurance effect;
  5. one mission condition that changes which setup you prefer.

Then write one sentence explaining what the data cannot prove.

For example, a static bench table cannot prove full-aircraft stability or exact flight time.

Failure analysis: the thermal spiral

A weak design process can create a pattern like this:

need more thrust
→ choose more demanding propeller
→ current rises
→ motor and ESC run hotter
→ efficiency falls or limits are approached
→ battery drains faster
→ team compensates with larger battery
→ aircraft mass rises
→ thrust requirement rises again

That is a systems loop.

Sometimes the correct answer is not “add more power.” It is reduce mass, change the mission requirement, improve aerodynamic efficiency, or choose a better-matched component set.

What you should remember

Thrust is only one output of the propulsion system.

A good design also watches current, heat, endurance, margin, and the mission requirement. If you cannot explain what the extra thrust costs, you have not finished the comparison.