Package Modelica.ComplexBlocks.ComplexMath
Library of mathematical functions as input/output blocks

Information

This package contains basic mathematical operations, such as summation and multiplication, and basic mathematical functions, such as sqrt and sin, as input/output blocks. All blocks of this library can be either connected with continuous blocks or with sampled-data blocks.

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

Package Contents

Name	Description
`Acos`	Output the arc cosine of the input
`Add`	Output the sum of the two inputs
`Add3`	Output the sum of the three inputs
`Asin`	Output the arc sine of the input
`Atan`	Output the arc tangent of the input
`Bode`	Calculate quantities to plot Bode diagram
`ComplexToPolar`	Converts complex to polar representation
`ComplexToReal`	Converts complex to Cartesian representation
`Conj`	Output is equal to the conjugate complex input signal
`Cos`	Output the cosine of the input
`Cosh`	Output the hyperbolic cosine of the input
`Division`	Output first input divided by second input
`Exp`	Output the exponential (base e) of the input
`Feedback`	Output difference between commanded input 1 and feedback input 2
`Gain`	Output the product of a gain value with the input signal
`Log`	Output the natural (base e) logarithm of the input (input <> '0' required)
`PolarToComplex`	Converts polar representation to complex
`Product`	Output product of the two inputs
`RealToComplex`	Converts Cartesian representation to complex
`Sin`	Output the sine of the input
`Sinh`	Output the hyperbolic sine of the input
`Sqrt`	Output the square root of the input (= principal square root of complex number)
`Sum`	Output the sum of the elements of the input vector
`Tan`	Output the tangent of the input
`Tanh`	Output the hyperbolic tangent of the input
`TransferFunction`	Complex Transfer Function

Block Modelica.ComplexBlocks.ComplexMath.Conj
Output is equal to the conjugate complex input signal

Information

This block computes output y as conjugate complex input u.

    y = Modelica.ComplexMath.conj(u)

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`final` `Boolean`	`useConjugateInput`	`true`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Gain
Output the product of a gain value with the input signal

Information

This block computes output y as product of gain k with the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput either the original or the conjugate complex input signal are processed.

    y = k * (if useConjugateInput then Modelica.ComplexMath.conj(u) else u);

Example: If useConjugateInput = true and k = 2 the output signal y = 2 * Modelica.ComplexMath.conj(u).

Parameters

Type	Name	Default	Description
`Complex`	`k`		Gain value multiplied with input signal
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Input signal connector
`output` `ComplexOutput`	`y`	Output signal connector

Block Modelica.ComplexBlocks.ComplexMath.Sum
Output the sum of the elements of the input vector

Information

This blocks computes output y as sum of the elements of the input signal vector u:

    y = u[1] + u[2] + ...;

Example:

     parameter:   nin = 3;

  results in the following equations:

     y = u[1] + u[2] + u[3];

Extends from Modelica.ComplexBlocks.Interfaces.ComplexMISO (Multiple Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Integer`	`nin`	`1`	Number of inputs
`Boolean`	`useConjugateInput[nin]`	`fill(false, nin)`	If true, inputs are processed conjugate complex
`Complex`	`k[nin]`	`fill(Complex(1, 0), nin)`	Optional: sum coefficients

Connectors

Type	Name	Description
`input` `ComplexInput`	`u[nin]`	Connector of Complex input signals
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Feedback
Output difference between commanded input 1 and feedback input 2

Information

This blocks computes output y as difference of the commanded input u1 and the feedback input u2. Optionally, either input u1 or u2 or both inputs can be processed conjugate complex, when parameters useConjugateInput1 and useConjugateInput2 are true, respectively.

  y = (if useConjugateInput1 then Modelica.ComplexMath.conj(u1) else u1)
    - (if useConjugateInput1 then Modelica.ComplexMath.conj(u2) else u2);

Example parameters:

useConjugateInput1 = true,
useConjugateInput2 = false

result in the following equation:

     y = Modelica.ComplexMath.conj(u1) - u2

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput1`	`false`	If true, input 1 is processed conjugate complex
`Boolean`	`useConjugateInput2`	`false`	If true, input 2 is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u1`
`input` `ComplexInput`	`u2`
`output` `ComplexOutput`	`y`

Block Modelica.ComplexBlocks.ComplexMath.Add
Output the sum of the two inputs

Information

This blocks computes output y as sum of the two input signals u1 and u2. Optionally, either input u1 or u2 or both inputs can be processed conjugate complex, when parameters useConjugateInput1 and useConjugateInput2 are true, respectively.

  y = k1*u1Internal + k2*u2Internal;

Example parameters:

k1 = +2,
k2 = -3,
useConjugateInput1 = true,
useConjugateInput2 = false

result in the following equation:

     y = 2 * Modelica.ComplexMath.conj(u1) - 3 * u2

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSI2SO (2 Single Input / 1 Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput1`	`false`	If true, input 1 is processed conjugate complex
`Boolean`	`useConjugateInput2`	`false`	If true, input 2 is processed conjugate complex
`Complex`	`k1`	`Complex(1, 0)`	Gain of input 1
`Complex`	`k2`	`Complex(1, 0)`	Gain of input 2

Connectors

Type	Name	Description
`input` `ComplexInput`	`u1`	Connector of Complex input signal 1
`input` `ComplexInput`	`u2`	Connector of Complex input signal 2
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Add3
Output the sum of the three inputs

Information

This blocks computes output y as sum of the three input signals u1, u2 and u3. Optionally, inputs u1 and u2 and u3 can be processed conjugate complex, when parameters useConjugateInput1 and useConjugateInput2 and useConjugateInput3 are true, respectively.

  y = k1*(if useConjugateInput1 then Modelica.ComplexMath.conj(u1) else u1)
    + k2*(if useConjugateInput2 then Modelica.ComplexMath.conj(u2) else u2)
    + k3*(if useConjugateInput3 then Modelica.ComplexMath.conj(u3) else u3);

Example parameters:

k1 = +2,
k2 = -3,
k3 = +1,
useConjugateInput1 = true,
useConjugateInput2 = false
useConjugateInput3 = false

result in the following equation:

     y = 2 * Modelica.ComplexMath.conj(u1) - 3 * u2 + u3;

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Parameters

Type	Name	Default	Description
`Complex`	`k1`	`Complex(1, 0)`	Gain of upper input
`Boolean`	`useConjugateInput1`	`false`	If true, input 1 is processed conjugate complex
`Complex`	`k2`	`Complex(1, 0)`	Gain of middle input
`Boolean`	`useConjugateInput2`	`false`	If true, input 2 is processed conjugate complex
`Complex`	`k3`	`Complex(1, 0)`	Gain of lower input
`Boolean`	`useConjugateInput3`	`false`	If true, input 3 is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u1`	Connector 1 of Complex input signals
`input` `ComplexInput`	`u2`	Connector 2 of Complex input signals
`input` `ComplexInput`	`u3`	Connector 3 of Complex input signals
`output` `ComplexOutput`	`y`	Connector of Complex output signals

Block Modelica.ComplexBlocks.ComplexMath.Product
Output product of the two inputs

Information

This blocks computes the output y (element-wise) as product of the corresponding elements of the two inputs u1 and u2. Optionally, either input u1 or u2 or both inputs can be processed conjugate complex, when parameters useConjugateInput1 and useConjugateInput2 are true, respectively. Depending on useConjugateInput1 and useConjugateInput2 the internal signals represent either the original or the conjugate complex input signal.

  y = u1Inernal * u2Internal;

Example: If useConjugateInput1 = true and useConjugateInput2 = false the output signal y = Modelica.ComplexMath.conj(u1) * u2.

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSI2SO (2 Single Input / 1 Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput1`	`false`	If true, input 1 is processed conjugate complex
`Boolean`	`useConjugateInput2`	`false`	If true, input 2 is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u1`	Connector of Complex input signal 1
`input` `ComplexInput`	`u2`	Connector of Complex input signal 2
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Division
Output first input divided by second input

Information

This block computes the output y (element-wise) by dividing the corresponding elements of the two inputs u1 and u2. Optionally, either input u1 or u2 or both inputs can be processed conjugate complex, when parameters useConjugateInput1 and useConjugateInput2 are true, respectively. Depending on useConjugateInput1 and useConjugateInput2 the internal signals represent either the original or the conjugate complex input signal.

    y = u1Internal / u2Internal;

Example: If useConjugateInput1 = true and useConjugateInput2 = false the output signal y = Modelica.ComplexMath.conj(u1) / u2.

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSI2SO (2 Single Input / 1 Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput1`	`false`	If true, input 1 is processed conjugate complex
`Boolean`	`useConjugateInput2`	`false`	If true, input 2 is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u1`	Connector of Complex input signal 1
`input` `ComplexInput`	`u2`	Connector of Complex input signal 2
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Sqrt
Output the square root of the input (= principal square root of complex number)

Information

This blocks computes the output y as square root of the input u (= principal square root of the complex input). Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = sqrt(uInternal);

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Sin
Output the sine of the input

Information

This blocks computes the output y as sine of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = sin(uInternal);

$sin.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Cos
Output the cosine of the input

Information

This blocks computes the output y as cos of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = cos(uInternal);

$cos.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Tan
Output the tangent of the input

Information

This blocks computes the output y as tan of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = tan(uInternal);

$tan.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Asin
Output the arc sine of the input

Information

This blocks computes the output y as the sine-inverse of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = asin(uInternal);

$asin.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Acos
Output the arc cosine of the input

Information

This blocks computes the output y as the cosine-inverse of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = acos(uInternal);

$acos.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Atan
Output the arc tangent of the input

Information

This blocks computes the output y as the tangent-inverse of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y= atan(uInternal);

$atan.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Sinh
Output the hyperbolic sine of the input

Information

This blocks computes the output y as the hyperbolic sine of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = sinh(uInternal);

$sinh.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Cosh
Output the hyperbolic cosine of the input

Information

This blocks computes the output y as the hyperbolic cosine of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = cosh(uInternal);

$cosh.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Tanh
Output the hyperbolic tangent of the input

Information

This blocks computes the output y as the hyperbolic tangent of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = tanh(uInternal);

$tanh.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Exp
Output the exponential (base e) of the input

Information

This blocks computes the output y as the exponential (of base e) of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = exp(uInternal);

$exp.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.Log
Output the natural (base e) logarithm of the input (input <> '0' required)

Information

This blocks computes the output y as the natural (base e) logarithm of the input u. Optionally, the input u can be processed conjugate complex, when parameter useConjugateInput is true. Depending on useConjugateInput the internal signal uInternal represents either the original or the conjugate complex input signal.

    y = log(uInternal);

An error occurs if the elements of the input u is zero.

$log.png$

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal

Block Modelica.ComplexBlocks.ComplexMath.RealToComplex
Converts Cartesian representation to complex

Information

Converts the Real inputs re (real part) and im (imaginary part) to the Complex output y.

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSO (Single Output continuous control block).

Connectors

Type	Name	Description
`output` `ComplexOutput`	`y`	Connector of Complex output signal
`input` `RealInput`	`re`
`input` `RealInput`	`im`

Block Modelica.ComplexBlocks.ComplexMath.PolarToComplex
Converts polar representation to complex

Information

Converts the Real inputs len (length, absolute) and phi (angle, argument) to the Complex output y.

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSO (Single Output continuous control block).

Connectors

Type	Name	Description
`output` `ComplexOutput`	`y`	Connector of Complex output signal
`input` `RealInput`	`len`
`input` `RealInput`	`phi`

Block Modelica.ComplexBlocks.ComplexMath.ComplexToReal
Converts complex to Cartesian representation

Information

Converts the Complex input u to the Real outputs re (real part) and im (imaginary part).

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`output` `RealOutput`	`re`
`output` `RealOutput`	`im`
`input` `ComplexInput`	`u`

Block Modelica.ComplexBlocks.ComplexMath.ComplexToPolar
Converts complex to polar representation

Information

Converts the Complex input u to the Real outputs len (length, absolute) and phi (angle, argument).

Extends from Modelica.Blocks.Icons.Block (Basic graphical layout of input/output block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex

Connectors

Type	Name	Description
`output` `RealOutput`	`len`
`output` `RealOutput`	`phi`
`input` `ComplexInput`	`u`

Block Modelica.ComplexBlocks.ComplexMath.Bode
Calculate quantities to plot Bode diagram

Information

This complex block is used to determine variables of a Bode diagram for the output y. The output y is calculated by u / divisor if useDivisor == true. Otherwise the output y = u.

abs_y Absolute value of y
arg_y Angle of y
dB_y Logarithm to the base 10 of the absolute value of y in dB

Parameters

Type	Name	Default	Description
`Boolean`	`useDivisor`	`true`	Use divisor input, if true

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Dividend if useDivisor == true
`input` `ComplexInput`	`divisor`	Divisor
`output` `RealOutput`	`abs_y`	Absolute value of ratio u / divisor
`output` `RealOutput`	`arg_y`	Angle of ratio u / divisor
`output` `ComplexOutput`	`y`	Quotient y = u / divisor
`output` `RealOutput`	`dB_y`	Log10 of absolute value of ratio u / divisor in dB

Block Modelica.ComplexBlocks.ComplexMath.TransferFunction
Complex Transfer Function

Information

The complex input u is multiplied by the complex transfer function (depending on frequency input w) to obtain the complex output y (nb = dimension of b, na = dimension of a):

           b[1]*(jw)^[nb-1] + b[2]*(jw)^[nb-2] + ... + b[nb]
   y(jw) = ------------------------------------------------- * u(jw)
           a[1]*(jw)^[na-1] + a[2]*(jw)^[na-2] + ... + a[na]

Extends from Modelica.ComplexBlocks.Interfaces.ComplexSISO (Single Input Single Output continuous control block).

Parameters

Type	Name	Default	Description
`Boolean`	`useConjugateInput`	`false`	If true, input is processed conjugate complex
`Real`	`b[:]`	`{1}`	Numerator coefficients of transfer function (e.g., 2*s+3 is specified as {2,3})
`Real`	`a[:]`	`{1}`	Denominator coefficients of transfer function (e.g., 5*s+6 is specified as {5,6})

Connectors

Type	Name	Description
`input` `ComplexInput`	`u`	Connector of Complex input signal
`output` `ComplexOutput`	`y`	Connector of Complex output signal
`input` `RealInput`	`w`	Frequency input

Generated 2018-12-12 12:09:58 EST by MapleSim.

Package Modelica.​ComplexBlocks.​ComplexMathLibrary of mathematical functions as input/output blocks

Information

Package Contents

Block Modelica.​ComplexBlocks.​ComplexMath.​ConjOutput is equal to the conjugate complex input signal

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​GainOutput the product of a gain value with the input signal

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​SumOutput the sum of the elements of the input vector

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​FeedbackOutput difference between commanded input 1 and feedback input 2

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​AddOutput the sum of the two inputs

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​Add3Output the sum of the three inputs

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​ProductOutput product of the two inputs

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​DivisionOutput first input divided by second input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​SqrtOutput the square root of the input (= principal square root of complex number)

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​SinOutput the sine of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​CosOutput the cosine of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​TanOutput the tangent of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​AsinOutput the arc sine of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​AcosOutput the arc cosine of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​AtanOutput the arc tangent of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​SinhOutput the hyperbolic sine of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​CoshOutput the hyperbolic cosine of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​TanhOutput the hyperbolic tangent of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​ExpOutput the exponential (base e) of the input

Information

Parameters

Connectors

Block Modelica.​ComplexBlocks.​ComplexMath.​LogOutput the natural (base e) logarithm of the input (input <> '0' required)

Package Modelica.ComplexBlocks.ComplexMath
Library of mathematical functions as input/output blocks

Block Modelica.ComplexBlocks.ComplexMath.Conj
Output is equal to the conjugate complex input signal

Block Modelica.ComplexBlocks.ComplexMath.Gain
Output the product of a gain value with the input signal

Block Modelica.ComplexBlocks.ComplexMath.Sum
Output the sum of the elements of the input vector

Block Modelica.ComplexBlocks.ComplexMath.Feedback
Output difference between commanded input 1 and feedback input 2

Block Modelica.ComplexBlocks.ComplexMath.Add
Output the sum of the two inputs

Block Modelica.ComplexBlocks.ComplexMath.Add3
Output the sum of the three inputs

Block Modelica.ComplexBlocks.ComplexMath.Product
Output product of the two inputs

Block Modelica.ComplexBlocks.ComplexMath.Division
Output first input divided by second input

Block Modelica.ComplexBlocks.ComplexMath.Sqrt
Output the square root of the input (= principal square root of complex number)

Block Modelica.ComplexBlocks.ComplexMath.Sin
Output the sine of the input

Block Modelica.ComplexBlocks.ComplexMath.Cos
Output the cosine of the input

Block Modelica.ComplexBlocks.ComplexMath.Tan
Output the tangent of the input

Block Modelica.ComplexBlocks.ComplexMath.Asin
Output the arc sine of the input

Block Modelica.ComplexBlocks.ComplexMath.Acos
Output the arc cosine of the input

Block Modelica.ComplexBlocks.ComplexMath.Atan
Output the arc tangent of the input

Block Modelica.ComplexBlocks.ComplexMath.Sinh
Output the hyperbolic sine of the input

Block Modelica.ComplexBlocks.ComplexMath.Cosh
Output the hyperbolic cosine of the input

Block Modelica.ComplexBlocks.ComplexMath.Tanh
Output the hyperbolic tangent of the input

Block Modelica.ComplexBlocks.ComplexMath.Exp
Output the exponential (base e) of the input

Block Modelica.ComplexBlocks.ComplexMath.Log
Output the natural (base e) logarithm of the input (input <> '0' required)

Block Modelica.ComplexBlocks.ComplexMath.RealToComplex
Converts Cartesian representation to complex

Block Modelica.ComplexBlocks.ComplexMath.PolarToComplex
Converts polar representation to complex

Block Modelica.ComplexBlocks.ComplexMath.ComplexToReal
Converts complex to Cartesian representation

Block Modelica.ComplexBlocks.ComplexMath.ComplexToPolar
Converts complex to polar representation

Block Modelica.ComplexBlocks.ComplexMath.Bode
Calculate quantities to plot Bode diagram

Block Modelica.ComplexBlocks.ComplexMath.TransferFunction
Complex Transfer Function