Nonlinear small-signal linearization

Understand the Nonlinear small-signal linearization relationship used by Equation contract.

Where to find it

Equation contract → equations

How to use it

Compare the terms, signs and units with your intended physical assumptions before choosing model inputs.

Result

Equation: \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}.

Troubleshooting

The equation describes the model assumptions; it is not a separate editable boundary condition. Check the parent physics page for setup and limitations.