# ComplexRampPhasor

```block ComplexRampPhasor "Generate a phasor with ramped magnitude and constant angle"
import Modelica.Constants.eps;

extends Modelica.ComplexBlocks.Interfaces.ComplexSO;

parameter Real magnitude1(final min = 0, start = 1) "Magnitude of complex phasor at startTime"
annotation (Dialog(groupImage = "modelica://Modelica/Resources/Images/ComplexBlocks/Sources/ComplexRampPhasor.png"));
parameter Real magnitude2(final min = 0, start = 1) "Magnitude of complex phasor at startTime+duration";
parameter Boolean useLogRamp = false "Ramp appears linear on a logarithmic scale, if true";
parameter Modelica.SIunits.Angle phi(start = 0) "Angle of complex phasor";
parameter Modelica.SIunits.Time startTime = 0 "Start time of frequency sweep";
parameter Modelica.SIunits.Time duration(min = 0, start = 1) "Duration of ramp (= 0.0 gives a Step)";
Real magnitude "Actual magnitude of complex phasor";
equation
assert(not useLogRamp or eps < magnitude1 and eps < magnitude2, "ComplexRampPhasor: magnitude1 and magnitude2 have to be greater than eps, if useLogRamp = true");
y = magnitude * Modelica.ComplexMath.exp(Complex(0, phi));
magnitude = if not useLogRamp then magnitude1 + (if time < startTime then 0 else if time < startTime + max(duration, eps) then (time - startTime) * (magnitude2 - magnitude1) / max(duration, eps) else magnitude2 - magnitude1) else if time < startTime then magnitude1 else if time < startTime + max(duration, eps) then 10 ^ (log10(magnitude1) + (log10(magnitude2) - log10(magnitude1)) * min(1, (time - startTime) / max(duration, eps))) else magnitude2;

annotation (
defaultComponentName = "complexRamp",
Icon(
coordinateSystem(
preserveAspectRatio = true,
extent = {
{-100, -100},
{100, 100}}),
graphics = {
Polygon(
points = {
{-10, 90},
{-16, 68},
{-4, 68},
{-10, 90}},
lineColor = {192, 192, 192},
fillColor = {95, 95, 95},
fillPattern = FillPattern.Solid),
Line(
points = {
{-10, 68},
{-10, -90}},
color = {95, 95, 95}),
Line(
points = {
{-90, 0},
{82, 0}},
color = {95, 95, 95}),
Polygon(
points = {
{90, 0},
{68, 6},
{68, -6},
{90, 0}},
lineColor = {95, 95, 95},
fillColor = {95, 95, 95},
fillPattern = FillPattern.Solid),
Line(
points = {
{-10, -10},
{14, 10}},
color = {0, 0, 255}),
Polygon(
points = {
{28, 22},
{7, 13},
{16, 2},
{28, 22}},
lineColor = {95, 95, 95},
fillColor = {0, 0, 255},
fillPattern = FillPattern.Solid),
Line(
points = {
{-10, 6},
{50, 56}},
color = {0, 0, 255}),
Polygon(
points = {
{66, 70},
{45, 61},
{54, 50},
{66, 70}},
lineColor = {95, 95, 95},
fillColor = {0, 0, 255},
fillPattern = FillPattern.Solid)}),
Documentation(info = "<html>\n<p>\nThe output y is a complex phasor with constant angle and a ramped magnitude.\n</p>\n\n<p>\nIn case of <code>useLogRamp == false</code> the magnitude ramp is linear:\n</p>\n<p>\n<img src=\"modelica://Modelica/Resources/Images/ComplexBlocks/Sources/ComplexRampPhasorLinear.png\"\n     alt=\"ComplexRampPhasorLinear.png\">\n</p>\n\n<p>\nIn case of <code>useLogRamp == true</code> the magnitude ramp appears linear on a logarithmic scale:\n</p>\n<p>\n<img src=\"modelica://Modelica/Resources/Images/ComplexBlocks/Sources/ComplexRampPhasorLog.png\"\n     alt=\"ComplexRampPhasorLog.png\">\n</p>\n\n</html>"));
end ComplexRampPhasor;

```