ReferenceAvailable
Nonlinear small-signal linearization
Diodes and smooth switches require an explicit complete MNA operating point. Their incremental conductance and switch control transconductance are stamped exactly.
Reference
| Field | Value | Description |
|---|---|---|
| latex | \left(\frac{\partial\mathbf g}{\partial\mathbf x}\bigg|_{\mathbf x_0}+i\omega\mathbf C\right)\widehat{\mathbf x}=-\frac{\partial\mathbf g}{\partial\mathbf u}\bigg|_{\mathbf x_0}\widehat{\mathbf u} | — |
| mathml | <math display="block"><mrow><mo>(</mo><msub><mi>g</mi><mi>x</mi></msub><mo>(</mo><msub><mi>x</mi><mn>0</mn></msub><mo>)</mo><mo>+</mo><mi>i</mi><mi>omega</mi><mi>C</mi><mo>)</mo><mover><mi>x</mi><mo>^</mo></mover><mo>=</mo><mo>-</mo><msub><mi>g</mi><mi>u</mi></msub><mo>(</mo><msub><mi>x</mi><mn>0</mn></msub><mo>)</mo><mover><mi>u</mi><mo>^</mo></mover></mrow></math> | — |
| section | governing-equation | — |
| entity_dimension | global | — |
| differentiability | exact-ad | — |
Diodes and smooth switches require an explicit complete MNA operating point. Their incremental conductance and switch control transconductance are stamped exactly.
The governing expression, entity dimension, enforcement, and differentiability metadata are preserved exactly where declared.