NapkinCalc

Power Systems — Distribution

Transformers — the reason AC won

continues from lesson 1 — values defined earlier in the course stay live here

Two coils on shared iron: voltage scales with the turns ratio, current scales inversely, power (almost) passes through untouched. This single device is why Tesla's AC beat Edison's DC:

Nratio=20N_{ratio} = 20 turns ratio, primary:secondary
Vprim:=9600VV_{prim} := 9600 V = 9600 V distribution feeder
Vsec=VprimNratioV_{sec} = \frac{V_{prim}}{N_{ratio}} = 480 V 480 V at the service entrance
Isec:=200AI_{sec} := 200 A = 200 A load current at the secondary
Iprim=IsecNratioI_{prim} = \frac{I_{sec}}{N_{ratio}} = 10 A just 10 A on the feeder side
✓ pass abs(VprimIprimVsecIsec)<1Wabs(V_{prim} * I_{prim} - V_{sec} * I_{sec}) < 1 W power in = power out (ideal transformer)