eHS Single Switches Capability

eHS Gen4

Uses Nodal Analysis

PEJOVIC:

The Switching Model Type Pejovic turns equations of a non-linear circuit into linear so they can be calculated using methods such as the Nodal Analysis and the State Space Analysis.

Pejovic Switch Model Type

where

: next state current value [] (A)
: next state (boolean)
: switch conductance (S)
: switch voltage (V)
: switch current (A)

When a switch is closed (), it acts like a inductor and when it’s open (), it acts like a capacitor.

The next switch state is determined by the following function (the truth table changes depending on which single switch we’re working with:

where

: gate (boolean)
: current state (boolean)
: previous switch current (A)
: present switch current (A)
: present switch voltage (V)

Tuning is done using the Gs parameter

eHS Gen5

Uses State-space Analysis

The State Space Analysis transform a differential equation into a first order matrix differential equation.

This is how a circuit is described using a state space representation.

where

: state equation
: output
: state vector
: state matrix
: input matrix
: output matrix
: constant matrix
: input function

todo

QUASI-SUPRA:

Tuning is done using the Relax and Rdamp parameters

Has 4 augmented state-spaces equations to calculate the next behavior of the single switch (Isw, Vsw, Ion, Ioff)

todo

PEJOVIC:

Tuning is done using the Gs parameter

Has 2 augmented state-spaces equations to calculate the next behavior of the single switch (Ion, Ioff)

Instead of calculating and injecting Isw and Vsw into the matrix, Ion and Ioff are calculated and injected into the augmented state-space matrix (in the code, Isw and Vsw are used but it truly is the value of Ion and Ioff stored inside).

todo