The transient simulation is the calculation of a networks response on arbitrary excitations. The results are network quantities (branch currents and node voltages) as a function of time. Substantial for the transient analysis is the consideration of energy storing components, i.e. inductors and capacitors.

The relations between current and voltage of ideal capacitors and inductors are given by

(6.1) |

or in terms of differential equations

(6.2) |

To calculate these quantities in a computer program numerical integration methods are required. With the current-voltage relations of these components at hand it is possible to apply the modified nodal analysis algorithm in order to calculate the networks response. This means the transient analysis attempts to find an approximation to the analytical solution at discrete time points using numeric integration.

- Integration methods
- Properties of numerical integration methods
- Elementary Methods
- Linear Multistep Methods
- Stability considerations

- Predictor-corrector methods

- Energy-storage components
- Capacitor
- Inductor
- Coupled Inductors
- Depletion Capacitance
- Diffusion Capacitance
- MOS Gate Capacitances

- Special time-domain models

- Components defined in the frequency domain
- Components with frequency-independent delay times
- Components with frequency-dependent delay times and losses

- Convergence

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