block ToSpacePhasor "Conversion: m phase -> space phasor"
import Modelica.ComplexMath.j;
import Modelica.ComplexMath.exp;
import Modelica.ComplexMath.'sum';
extends Modelica.Blocks.Icons.Block;
parameter Integer m(min = 1) = 3 "Number of phases";
Modelica.ComplexBlocks.Interfaces.ComplexInput u[m] annotation (Placement(transformation(extent = {
{-140, -20},
{-100, 20}})));
Modelica.Blocks.Interfaces.RealOutput y[2] annotation (Placement(transformation(extent = {
{100, -10},
{120, 10}})));
protected
parameter Modelica.SIunits.Angle phi[m] = Electrical.MultiPhase.Functions.symmetricOrientation(m);
Complex c;
equation
y = {c.re, c.im};
c.im = sqrt(2) / m * sum(u[k].re * sin(phi[k]) + u[k].im * cos(phi[k]) for k in 1:m);
c.re = sqrt(2) / m * sum(u[k].re * cos(phi[k]) - u[k].im * sin(phi[k]) for k in 1:m);
annotation (
Icon(
coordinateSystem(
preserveAspectRatio = true,
extent = {
{-100, -100},
{100, 100}}),
graphics = {
Line(
points = {
{0, 0},
{80, 80},
{60, 72},
{72, 60},
{80, 80}},
color = {85, 170, 255}),
Line(
points = {
{0, 0},
{80, -80},
{72, -60},
{60, -72},
{80, -80}},
color = {85, 170, 255}),
Line(
points = {
{-80, 0},
{-73.33, 10},
{-66.67, 17.32},
{-60, 20},
{-53.33, 17.32},
{-46.67, 10},
{-40, 0},
{-33.33, -10},
{-26.67, -17.32},
{-20, -20},
{-13.33, -17.32},
{-6.67, -10},
{0, 0}},
color = {85, 170, 255},
smooth = Smooth.Bezier),
Line(
points = {
{-90, 0},
{-83.33, 10},
{-76.67, 17.32},
{-70, 20},
{-63.33, 17.32},
{-56.67, 10},
{-50, 0},
{-43.33, -10},
{-36.67, -17.32},
{-30, -20},
{-23.33, -17.32},
{-16.67, -10},
{-10, 0}},
color = {85, 170, 255},
smooth = Smooth.Bezier),
Line(
points = {
{-70, 0},
{-63.33, 10},
{-56.67, 17.32},
{-50, 20},
{-43.33, 17.32},
{-36.67, 10},
{-30, 0},
{-23.33, -10},
{-16.67, -17.32},
{-10, -20},
{-3.33, -17.32},
{3.33, -10},
{10, 0}},
color = {85, 170, 255},
smooth = Smooth.Bezier),
Text(
extent = {
{-12, -74},
{64, -86}},
textString = "zero")}),
Documentation(info = "<html>\n<p>\nTransformation of m phase values (voltages or currents) to space phasor.\n</p>\n</html>"));
end ToSpacePhasor;