Relay minus with variable deadband and hysteresis#

The Relay minus with variable deadband and hysteresis block is a submodel with a relay algorithm with variable hysteresis (variable return area) and variable deadband. Hysteresis and dead zone are set by block input signals.

Block output signal is non-negative, and the relay operates only when the input signal is negative (otherwise the output is zero). The block is described by the equation:

If y(t-∆t)>0 (1):

(1)#\[\begin{split} y =\begin{cases}1 , & \ {\ \ \ \ \ \ x}_0-\frac{x_2}{2}<\frac{{-x}_1}{2}\\0,& {\ \ \ \ \ \ \frac{{-x}_1}{2}\le x}_0-\frac{x_2}{2}\end{cases} \end{split}\]

If y(t-∆t)≤0 (2):

(2)#\[\begin{split} y =\begin{cases}1 , & \ {\ \ \ \ \ \ x}_0+\frac{x_2}{2}<\frac{{-x}_1}{2}\\0,& {\ \ \ \ \ \ \frac{{-x}_1}{2}\le x}_0+\frac{x_2}{2}\end{cases} \end{split}\]

where:

\(t\) – current integration step;

\((t-∆t)\) – previous integration step.

1. Properties#

Property	Default value	Description	Units of measurement
Initial conditions	0	Initial conditions (0 or 1)	-

2. Inputs and outputs#

Parameters	Inputs and outputs	Description	Units of measurement	Port type
Input signal	Input	Signal	-	Automation
Deadband	Input	DB	-	Automation
Return zone	Input	RA	-	Automation
Signal equal to +1 or 0	Output	Signal	-	Automation

In order to see the connection capabilities of the block, you need to go to page Description of block ports

3. Code generation#

Important

Block supports C source code generation