flux-change-voltage-limit-three-row-scan - Electronic Circuits XV & XVI: Transformers and Switched-Capacitor Conversion Step by Step

Winding voltage comes from turn count times flux-change rate, so increasing flux change can push a winding from safe margin through the voltage boundary. With fixed turns and 1 s interval, flux changes 1, 2, and 3 Wb give 4, 8, and 12 V against an 8 V ceiling exactly for the ideal coupled-flux model; real magnetic parts add leakage flux, core saturation, winding resistance, frequency dependence, parasitic capacitance, heating, and voltage/time measurement uncertainty.

Flux change rate can pass, touch, or exceed a winding voltage limit. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Flux-change row 1

Turn counts and interval stay fixed. Flux change 1 Wb in 1 s gives primary voltage 4 V against an 8 V ceiling, so margin is 4 V.

m=4\ \text{V}\quad\text{pass}

Flux-change row 2

Turn counts and interval stay fixed. Flux change 2 Wb in 1 s gives primary voltage 8 V against an 8 V ceiling, so margin is 0 V.

m=0\ \text{V}\quad\text{pass}

Flux-change row 3

Turn counts and interval stay fixed. Flux change 3 Wb in 1 s gives primary voltage 12 V against an 8 V ceiling, so margin is negative 4 V.

m=-4\ \text{V}\quad\text{fail}