Electro-Magnetism for AC/DC engines

Electro-Magnetism for AC/DC engines

May 4, 2026

Tl;DR

Post electro-magnetism 101 and electronics

Intro

Ive been doing additional electronics recaps before going all in with more electronics ideas

git clone /electronics-101/samples-motors

Circuits Recap

Electric Engines

Wondering about buying a car?

DC

AC

Modelling

The L-R


Conclusions

Why all of this?

PropertyDC (Brushed)Induction (Squirrel Cage)SynchronousBLDCStepper
Torque-CurrentLinear (τ ∝ I)Slip-dependentSine (τ ∝ sin δ)Linear (τ ∝ I)Detent only
Starting TorqueHigh (max I)Medium (slip ↑)Very low (needs sync)High (if commutated)None (steps)
Max Efficiency70-90%85-95%90-98%85-98%<50% (intermittent)
MaintenanceBrushes (wear)MinimalSlip rings (if EC)NoneNone
Speed ControlEasy (V variation)Needs VFDNeeds exciterEasy (PWM)Open-loop steps
Speed Range0-max (smooth)~±5% around syncFixed at sync0-max (smooth)Fixed (cogging)
Power FactorN/A (DC)Inductive (0.7-0.9)ControllableN/A (DC control)N/A (DC control)
Size/WeightMediumLarge (for same torque)LargeSmallTiny
Cost (small, <1 kW)LowMediumHighMediumVery low
Cost (large, >10 kW)HighLowMediumHighN/A (not used)
Typical UsesOld tools, low speedIndustrial baselinePower plants, precisionEV, robotics, dronesCNC, 3D printers

Well, you can use this knowledge for fpv/drons:

See also this one.

The drone brushless DC motors will have present Faraday law with their Back EMF, same principle of the EMF kickback of the watering project.

$$\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}$$

Remember: A changing magnetic field creates an electric field!

ℹ️
“kV” on drone motors is NOT kilovolts. It’s motor constant: volts of back-EMF per 1000 RPM. More about dron motors.

Or to understand electric cars before buying one

Total Energy Spent: Approximately 211 kWh. Efficiency: $211\text{ kWh} / 16.3\text{ (units of 100km)} = \mathbf{12.9\text{ kWh/100km}}$.

Note: You actually drove more efficiently than your initial 15 kWh estimate!

MetricYour Trip (EV)Diesel Equivalent (Est.)
Total Distance1,630 km1,630 km @ 6L/100km
Total “Fuel” Cost~810 NOK~2,050 NOK (at 6L/100km & 21 NOK/L)
Effort8 charging stops1 or 2 fuel stops
Efficiency12.9 kWh/100km~60 kWh/100km (energy equiv.)
Efficiency $~5,36$/100km~11,96$/100km

Unit Cost Comparison ($ USD per 1 kWh)

Energy SourceCost per kWh (USD)Relative Price
Home Charging$0.151.0x (Baseline)
Diesel Fuel$0.231.5x more expensive
Public Charging (My electric Trip)$0.463.0x more expensive
ℹ️
More about electric cars motors, including srm
ApplicationMotor TypePowerVoltageWhyDuty
StarterDC Brushed1-2 kW12VMax torque from zero~2 sec burst
WindowDC Brushed0.1 kW12VSimple, cheap~5 sec per use
SteeringPMSM5-10 kW12-48VSmooth, precise, continuousVariable
Cooling FanBLDC/Induction1-2 kW12-48VLong-running, efficient~30% duty
A/C CompressorBLDC3-5 kW400V (EV)Precise control, efficient~40% duty
EV Traction (old)Induction100-300 kW400VProven, robust, simple controlContinuous variable
EV Traction (modern)PMSM100-300+ kW400-900VHigher efficiency, compactContinuous variable
Mild HybridBLDC/PMSM10-50 kW48VEfficient, regenerates~30% duty
Plug-in HybridPMSM50-100 kW400VFull electric mode, regenerative40-60% duty

FAQ

AC vs DC Power Transmission

As experimented and summarized here:

ScenarioWinnerMarginWhy
Same voltage, no transformersDC~0.5-1%No skin, eddy, corona, proximity losses. But negligible compared to…
Distance < 100 kmAC (regional grid)100×Transformers. Cheap, proven. Converter cost not justified.
Distance 100-500 kmAC (765 kV step-up)50×Step-up transformer reduces loss exponentially. Still beats DC converters.
Distance > 500 kmHVDC emerging10-20%DC cable footprint advantage starts dominating. Converters now efficient enough.
Submarine cableHVDC clear100×AC cables leak capacitive current. DC avoids repeater amplifiers every 50 km.
Async grid tie (different frequencies)HVDC onlyAC requires phase sync. DC is frequency-agnostic.
Pure DC renewable (solar arrays)HVDC20%Avoid AC inversion. DC stays DC all the way.
ℹ️

Converting Electrical Energy

  1. Rectifier (AC $\rightarrow$ DC)

A Rectifier converts Alternating Current (AC) into Direct Current (DC).

  • How it works: It uses diodes (which act like one-way valves) to block or redirect the “backwards” part of the AC wave so the electricity only flows in one direction.
  • Common Example: Your phone charger. It takes the AC from your wall and rectifies it into the DC your battery needs.
  1. Inverter (DC $\rightarrow$ AC)

An Inverter converts Direct Current (DC) into Alternating Current (AC).

  • How it works: It uses high-speed switches (transistors) to “chop up” the flat DC signal and flip its polarity back and forth to mimic the wave shape of AC.
  • Common Example: Solar panels. They produce DC, but your home appliances need AC, so a “Solar Inverter” sits in the middle.

Home pv setups tend to have one of these!

  1. Transformer (AC $\rightarrow$ AC)

You are exactly right—a Transformer stays within the same “lane” (AC to AC).

  • How it works: It uses magnetic induction to change the voltage and current levels, but it cannot change the nature of the current. It cannot work with DC because it requires a changing magnetic field (which only AC provides).
  • Common Example: Those big grey cans on utility poles. They take high-voltage AC from the power lines and “step it down” to the 110V/230V AC used in your house.
DeviceInputOutputCommon Use
RectifierACDCPowering electronics from a wall outlet.
InverterDCACUsing a car battery to run a laptop or TV.
TransformerACACStepping voltage up/down for the grid.

Pro Tip: If you want to go from DC to DC (like changing the voltage of a battery), you use something called a DC-DC Converter (often a “Buck” or “Boost” converter).