Relay with variable deadband and hysteresis#

The Relay with variable deadband and hysteresis block simulates the operation of a relay with variable hysteresis (variable return area (RA)) and variable deadband (DB). The value of DB and the value of RA are specified by the block’s input signals. The block is described by the equations:

If y(t-∆t) < 0 (1):

(1)#\[\begin{split} y =\begin{cases}-1 , & \ x_0-x_2\leq -x_1\\0,& x_0-x_2\leq x_1\\1,& x_0-x_2> x_1\end{cases} \end{split}\]

If y(t-∆t) < 1 (2):

(2)#\[\begin{split} y =\begin{cases}-1 , & \ x_0 \leq-x_1\\0,& \ x_0 \leq x_1\\1,& x_0>x_1\end{cases} \end{split}\]

If y(t-∆t)≥0 (3):

(3)#\[\begin{split} y =\begin{cases}-1 , & \ x_0+x_2<-x_1\\0,& \ x_0+x_2< x_1\\1,& x_0-x_2\geq x_1\end{cases} \end{split}\]

where:

y(t-∆t) – the value of the block output signal at the previous integration step;

y – the value of the block output signal at the current integration step;

\(x_0\) – the value of the input signal (the value is taken from the first input of the block);

\(x_1\) – the value of DB (the value is taken from the second input of the block);

\(x_2\) – the value of RA (the value is taken from the third input of the block).

The static characteristic of the block looks like this:

1. Properties#

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

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
Input signal	Input	Signal	-	Automation
Deadband	Input	DB	-	Automation
Return zone	Input	RA	-	Automation
Signal equal to +1, -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