Modelica.Blocks.Logical

Library of components with Boolean input and output signals

Information

This package provides blocks with Boolean input and output signals to describe logical networks. A typical example for a logical network built with package Logical is shown in the next figure:

The actual value of Boolean input and/or output signals is displayed in the respective block icon as "circle", where "white" color means value false and "green" color means value true. These values are visualized in a diagram animation.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
And	Logical 'and': y = u1 and u2
Or	Logical 'or': y = u1 or u2
Xor	Logical 'xor': y = u1 xor u2
Nor	Logical 'nor': y = not (u1 or u2)
Nand	Logical 'nand': y = not (u1 and u2)
Not	Logical 'not': y = not u
Pre	Breaks algebraic loops by an infinitesimal small time delay (y = pre(u): event iteration continues until u = pre(u))
Edge	Output y is true, if the input u has a rising edge (y = edge(u))
FallingEdge	Output y is true, if the input u has a falling edge (y = edge(not u))
Change	Output y is true, if the input u has a rising or falling edge (y = change(u))
GreaterThreshold	Output y is true, if input u is greater than threshold
GreaterEqualThreshold	Output y is true, if input u is greater or equal than threshold
LessThreshold	Output y is true, if input u is less than threshold
LessEqualThreshold	Output y is true, if input u is less or equal than threshold
Greater	Output y is true, if input u1 is greater than input u2
GreaterEqual	Output y is true, if input u1 is greater or equal than input u2
Less	Output y is true, if input u1 is less than input u2
LessEqual	Output y is true, if input u1 is less or equal than input u2
ZeroCrossing	Trigger zero crossing of input u
LogicalSwitch	Logical Switch
Switch	Switch between two Real signals
Hysteresis	Transform Real to Boolean signal with Hysteresis
OnOffController	On-off controller
TriggeredTrapezoid	Triggered trapezoid generator
Timer	Timer measuring the time from the time instant where the Boolean input became true
LogicalDelay	Delay boolean signal
RSFlipFlop	A basic RS Flip Flop
TerminateSimulation	Terminate simulation if condition is fulfilled

Modelica.Blocks.Logical.And

Logical 'and': y = u1 and u2

Information

The output is true if all inputs are true, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSI2SO (Partial block with 2 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Or

Logical 'or': y = u1 or u2

Information

The output is true if at least one input is true, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSI2SO (Partial block with 2 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Xor

Logical 'xor': y = u1 xor u2

Information

The output is true if exactly one input is true, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSI2SO (Partial block with 2 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Nor

Logical 'nor': y = not (u1 or u2)

Information

The output is true if none of the inputs is true, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSI2SO (Partial block with 2 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Nand

Logical 'nand': y = not (u1 and u2)

Information

The output is true if at least one input is false, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSI2SO (Partial block with 2 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Not

Logical 'not': y = not u

Information

The output is true if the input is false, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSISO (Partial block with 1 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Pre

Breaks algebraic loops by an infinitesimal small time delay (y = pre(u): event iteration continues until u = pre(u))

Information

This block delays the Boolean input by an infinitesimal small time delay and therefore breaks algebraic loops. In a network of logical blocks, in every "closed connection loop" at least one logical block must have a delay, since algebraic systems of Boolean equations are not solvable.

The "Pre" block returns the value of the "input" signal from the last "event iteration". The "event iteration" stops, once both values are identical (u = pre(u)).

Extends from Blocks.Interfaces.partialBooleanSISO (Partial block with 1 input and 1 output Boolean signal).

Parameters

Connectors

Modelica.Blocks.Logical.Edge

Output y is true, if the input u has a rising edge (y = edge(u))

Information

The output is true if the Boolean input has a rising edge from false to true, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSISO (Partial block with 1 input and 1 output Boolean signal).

Parameters

Connectors

Modelica.Blocks.Logical.FallingEdge

Output y is true, if the input u has a falling edge (y = edge(not u))

Information

The output is true if the Boolean input has a falling edge from true to false, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSISO (Partial block with 1 input and 1 output Boolean signal).

Parameters

Connectors

Modelica.Blocks.Logical.Change

Output y is true, if the input u has a rising or falling edge (y = change(u))

Information

The output is true if the Boolean input has either a rising edge from false to true or a falling edge from true to false, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanSISO (Partial block with 1 input and 1 output Boolean signal).

Parameters

Connectors

Modelica.Blocks.Logical.GreaterThreshold

Output y is true, if input u is greater than threshold

Information

The output is true if the Real input is greater than parameter threshold, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanThresholdComparison (Partial block to compare the Real input u with a threshold and provide the result as 1 Boolean output signal).

Parameters

Connectors

Modelica.Blocks.Logical.GreaterEqualThreshold

Output y is true, if input u is greater or equal than threshold

Information

The output is true if the Real input is greater than or equal to parameter threshold, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanThresholdComparison (Partial block to compare the Real input u with a threshold and provide the result as 1 Boolean output signal).

Parameters

Connectors

Modelica.Blocks.Logical.LessThreshold

Output y is true, if input u is less than threshold

Information

The output is true if the Real input is less than parameter threshold, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanThresholdComparison (Partial block to compare the Real input u with a threshold and provide the result as 1 Boolean output signal).

Parameters

Connectors

Modelica.Blocks.Logical.LessEqualThreshold

Output y is true, if input u is less or equal than threshold

Information

The output is true if the Real input is less than or equal to parameter threshold, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanThresholdComparison (Partial block to compare the Real input u with a threshold and provide the result as 1 Boolean output signal).

Parameters

Connectors

Modelica.Blocks.Logical.Greater

Output y is true, if input u1 is greater than input u2

Information

The output is true if Real input u1 is greater than Real input u2, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanComparison (Partial block with 2 Real input and 1 Boolean output signal (the result of a comparison of the two Real inputs)).

Connectors

Modelica.Blocks.Logical.GreaterEqual

Output y is true, if input u1 is greater or equal than input u2

Information

The output is true if Real input u1 is greater than or equal to Real input u2, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanComparison (Partial block with 2 Real input and 1 Boolean output signal (the result of a comparison of the two Real inputs)).

Connectors

Modelica.Blocks.Logical.Less

Output y is true, if input u1 is less than input u2

Information

The output is true if Real input u1 is less than Real input u2, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanComparison (Partial block with 2 Real input and 1 Boolean output signal (the result of a comparison of the two Real inputs)).

Connectors

Modelica.Blocks.Logical.LessEqual

Output y is true, if input u1 is less or equal than input u2

Information

The output is true if Real input u1 is less than or equal to Real input u2, otherwise the output is false.

Extends from Blocks.Interfaces.partialBooleanComparison (Partial block with 2 Real input and 1 Boolean output signal (the result of a comparison of the two Real inputs)).

Connectors

Modelica.Blocks.Logical.ZeroCrossing

Trigger zero crossing of input u

Information

The output "y" is true at the time instant when the input "u" becomes zero, provided the input "enable" is true. At all other time instants, the output "y" is false. If the input "u" is zero at a time instant when the "enable" input changes its value, then the output y is false.

Note, that in the plot window of a Modelica simulator, the output of this block is usually identically to false, because the output may only be true at an event instant, but not during continuous integration. In order to check that this component is actually working as expected, one should connect its output to, e.g., component Modelica.Blocks.Discrete.TriggeredSampler.

Extends from Blocks.Interfaces.partialBooleanSO (Partial block with 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.LogicalSwitch

Logical Switch

Information

The LogicalSwitch switches, depending on the Boolean u2 connector (the middle connector), between the two possible input signals u1 (upper connector) and u3 (lower connector).

If u2 is true, connector y is set equal to u1, else it is set equal to u3.

Extends from Blocks.Interfaces.partialBooleanSI3SO (Partial block with 3 input and 1 output Boolean signal).

Connectors

Modelica.Blocks.Logical.Switch

Switch between two Real signals

Information

The Logical.Switch switches, depending on the logical connector u2 (the middle connector) between the two possible input signals u1 (upper connector) and u3 (lower connector).

If u2 is true, the output signal y is set equal to u1, else it is set equal to u3.

Extends from Modelica.Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Connectors

Modelica.Blocks.Logical.Hysteresis

Transform Real to Boolean signal with Hysteresis

Information

This block transforms a Real input signal u into a Boolean output signal y:

• When the output was false and the input becomes greater than parameter uHigh, the output switches to true.
• When the output was true and the input becomes less than parameter uLow, the output switches to false.

The start value of the output is defined via parameter pre_y_start (= value of pre(y) at initial time). The default value of this parameter is false.

Extends from Modelica.Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Parameters

Connectors

Modelica.Blocks.Logical.OnOffController

On-off controller

Information

The block OnOffController sets the output signal y to true when the input signal u falls below the reference signal minus half of the bandwidth and sets the output signal y to false when the input signal u exceeds the reference signal plus half of the bandwidth.

Extends from Modelica.Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Parameters

Connectors

Modelica.Blocks.Logical.TriggeredTrapezoid

Triggered trapezoid generator

Information

The block TriggeredTrapezoid has a Boolean input and a real output signal and requires the parameters amplitude, rising, falling and offset. The output signal y represents a trapezoidal signal dependent on the input signal u.

The behaviour is as follows: Assume the initial input to be false. In this case, the output will be offset. After a rising edge (i.e., the input changes from false to true), the output is rising during rising to the sum of offset and amplitude. In contrast, after a falling edge (i.e., the input changes from true to false), the output is falling during falling to a value of offset.

Note, that the case of edges before expiration of rising or falling is handled properly.

Extends from Modelica.Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Parameters

Connectors

Modelica.Blocks.Logical.Timer

Timer measuring the time from the time instant where the Boolean input became true

Information

When the Boolean input u becomes true, the timer starts and the output y is the time that has elapsed since u became true. When the input becomes false, the timer stops and the output is reset to zero.

Extends from Modelica.Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Connectors

Modelica.Blocks.Logical.LogicalDelay

Delay boolean signal

Information

When input u gets true, output y1 gets immediately true, whereas output y2 gets true after delayTime.

When input u gets false, output y1 gets false after delayTime, whereas output y2 gets immediately false.

Extends from Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Parameters

Connectors

Modelica.Blocks.Logical.RSFlipFlop

A basic RS Flip Flop

Information

The output Q is set by the input S, is reset by the input R, and keeps its value in between. QI is the inverse of Q.

Extends from Modelica.Blocks.Icons.PartialBooleanBlock (Basic graphical layout of logical block).

Parameters

Connectors

Modelica.Blocks.Logical.TerminateSimulation

Terminate simulation if condition is fulfilled

Information

In the parameter menu, a time varying expression can be defined via variable condition, for example "condition = x < 0", where "x" is a variable that is declared in the model in which the "TerminateSimulation" block is present. If this expression becomes true, the simulation is (successfully) terminated. A termination message explaining the reason for the termination can be given via parameter "terminationText".

Parameters

Connectors