reset-volt-second-three-row-scan - Electronic Circuits XV: Transformers and Coupled Inductors Step by Step

Balanced primary reset rows imply balanced secondary volt-seconds. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Primary volt-second balance carries through the turns ratio

Each row balances primary volt-seconds first, then derives the secondary reset sum from the transformer ratio.

\sum V_p\Delta t=0\ \text{V}\cdot\text{s}\quad;\quad \sum V_s\Delta t=0\ \text{V}\cdot\text{s}

Three primary voltage rows keep both volt-second sums at zero

Different primary voltages still pass when the reset interval uses the matched opposite area.

\begin{array}{c|c|c|c|c}V_{p,\text{on}}&V_{p,\text{reset}}&\sum V_p\Delta t&\sum V_s\Delta t&\text{gate}\\6\ \text{V}&-3\ \text{V}&0\ \text{V}\cdot\text{s}&0\ \text{V}\cdot\text{s}&\text{pass}\\8\ \text{V}&-4\ \text{V}&0\ \text{V}\cdot\text{s}&0\ \text{V}\cdot\text{s}&\text{pass}\\12\ \text{V}&-6\ \text{V}&0\ \text{V}\cdot\text{s}&0\ \text{V}\cdot\text{s}&\text{pass}\\\end{array}

The final reset row binds transformer ratio and primary balance

The secondary reset sum is computed from the same interval ids that passed the primary balance gate.

\sum V_p\Delta t=0\ \text{V}\cdot\text{s}\quad;\quad \sum V_s\Delta t=0\ \text{V}\cdot\text{s}