block IntersectivePWM "Intersective PWM"
import Modelica.Electrical.PowerConverters.Types.ReferenceType;
extends Modelica.Blocks.Icons.Block;
constant Integer m = 3 "Number of phases";
parameter Modelica.SIunits.Frequency f "Switching frequency";
parameter Modelica.SIunits.Time startTime = 0 "Start time of PWM";
parameter Real uMax "Maximum amplitude of signal";
parameter Modelica.Electrical.PowerConverters.Types.ReferenceType refType = Modelica.Electrical.PowerConverters.Types.ReferenceType.Triangle3 "Type of reference signal"
annotation (Evaluate = true);
Modelica.Blocks.Interfaces.RealInput u[2] "Reference space phasor"
annotation (Placement(transformation(extent = {
{-140, -20},
{-100, 20}})));
Modelica.Blocks.Interfaces.BooleanOutput fire_p[m] "positive fire signal"
annotation (Placement(transformation(extent = {
{100, 50},
{120, 70}})));
Modelica.Blocks.Interfaces.BooleanOutput fire_n[m] "negative fire signal"
annotation (Placement(transformation(extent = {
{100, -70},
{120, -50}})));
Modelica.Electrical.Machines.SpacePhasors.Blocks.FromSpacePhasor fromSpacePhasor annotation (Placement(transformation(extent = {
{-60, 50},
{-40, 70}})));
Modelica.Blocks.Sources.Constant zero(k = 0) annotation (Placement(transformation(
extent = {
{-10, -10},
{10, 10}},
rotation = 90,
origin = {-70, 30})));
Modelica.Blocks.Sources.SawTooth sawTooth[m](each nperiod = -1, each amplitude = uMax, each offset = -0.5 * uMax, each period = f ^ (-1), startTime = {startTime - 1.5 + (if refType == ReferenceType.Sawtooth1 then 0 else k) / m for k in 0:m - 1} / f) if refType == ReferenceType.Sawtooth1 or refType == ReferenceType.Sawtooth3 annotation (Placement(transformation(extent = {
{-80, -30},
{-60, -10}})));
Modelica.Blocks.Sources.Trapezoid trapezoid[3](each amplitude = uMax, each width = 0, each nperiod = -1, each offset = -0.5 * uMax, each rising = 0.5 / f, each falling = 0.5 / f, each period = f ^ (-1), startTime = {startTime - 1.25 + (if refType == ReferenceType.Triangle1 then 0 else k) / m for k in 0:m - 1} / f) if refType == ReferenceType.Triangle1 or refType == ReferenceType.Triangle3 annotation (Placement(transformation(extent = {
{-80, -60},
{-60, -40}})));
Modelica.Blocks.Logical.GreaterEqual greaterEqual[m] annotation (Placement(transformation(extent = {
{30, 50},
{50, 70}})));
Modelica.Blocks.Logical.Not negation[m] annotation (Placement(transformation(extent = {
{72, -70},
{92, -50}})));
Modelica.Blocks.Logical.Switch switch1[m] annotation (Placement(transformation(extent = {
{-10, -10},
{10, 10}})));
Modelica.Blocks.Sources.Constant const[m](each k = -uMax) annotation (Placement(transformation(
extent = {
{-10, -10},
{10, 10}},
rotation = 90,
origin = {-20, -30})));
Modelica.Blocks.Sources.BooleanExpression booleanExpression(y = startTime <= time) annotation (Placement(transformation(extent = {
{-100, -90},
{-80, -70}})));
Modelica.Blocks.Routing.BooleanReplicator booleanReplicator(nout = m) annotation (Placement(transformation(extent = {
{-70, -90},
{-50, -70}})));
equation
connect(u,fromSpacePhasor.u) annotation (Line(
points = {
{-120, 0},
{-90, 0},
{-90, 60},
{-62, 60}},
color = {0, 0, 127}));
connect(const.y,switch1.u3) annotation (Line(
points = {
{-20, -19},
{-20, -8},
{-12, -8}},
color = {0, 0, 127}));
connect(negation.y,fire_n) annotation (Line(
points = {
{93, -60},
{110, -60}},
color = {255, 0, 255}));
connect(sawTooth.y,switch1.u1) annotation (Line(
points = {
{-59, -20},
{-50, -20},
{-50, 8},
{-12, 8}},
color = {0, 0, 127}));
connect(switch1.y,greaterEqual.u2) annotation (Line(
points = {
{11, 0},
{20, 0},
{20, 52},
{28, 52}},
color = {0, 0, 127}));
connect(trapezoid.y,switch1.u1) annotation (Line(
points = {
{-59, -50},
{-50, -50},
{-50, 8},
{-12, 8}},
color = {0, 0, 127}));
connect(zero.y,fromSpacePhasor.zero) annotation (Line(
points = {
{-70, 41},
{-70, 52},
{-62, 52}},
color = {0, 0, 127}));
connect(booleanExpression.y,booleanReplicator.u) annotation (Line(
points = {
{-79, -80},
{-72, -80}},
color = {255, 0, 255}));
connect(booleanReplicator.y,switch1.u2) annotation (Line(
points = {
{-49, -80},
{-40, -80},
{-40, 0},
{-12, 0}},
color = {255, 0, 255}));
connect(fromSpacePhasor.y,greaterEqual.u1) annotation (Line(
points = {
{-39, 60},
{28, 60}},
color = {0, 0, 127}));
connect(greaterEqual.y,fire_p) annotation (Line(
points = {
{51, 60},
{110, 60}},
color = {255, 0, 255}));
connect(greaterEqual.y,negation.u) annotation (Line(
points = {
{51, 60},
{60, 60},
{60, -60},
{70, -60}},
color = {255, 0, 255}));
annotation (
Icon(
coordinateSystem(preserveAspectRatio = false),
graphics = {
Line(
points = {
{-60, 0},
{-51.6, 34.2},
{-46.1, 53.1},
{-41.3, 66.4},
{-37.1, 74.6},
{-32.9, 79.1},
{-28.64, 79.8},
{-24.42, 76.6},
{-20.201, 69.7},
{-15.98, 59.4},
{-11.16, 44.1},
{-5.1, 21.2},
{7.5, -30.8},
{13, -50.2},
{17.8, -64.2},
{22, -73.1},
{26.2, -78.4},
{30.5, -80},
{34.7, -77.6},
{38.9, -71.5},
{43.1, -61.9},
{47.9, -47.2},
{54, -24.8},
{60, 0}},
color = {0, 0, 255},
thickness = 0.5,
smooth = Smooth.Bezier),
Line(
points = {
{-60, -80},
{-48, 80},
{-40, -80},
{-30, 80},
{-20, -80},
{-10, 80},
{0, -80},
{10, 80},
{20, -78},
{30, 80},
{40, -80},
{50, 80},
{60, -80}},
color = {238, 46, 47})}),
Diagram(coordinateSystem(preserveAspectRatio = false)),
Documentation(info = "<html>\n<p>\nThe intersective PWM transforms the input space phasor <u>u</u> to the three phase voltages,\nand compares them with the reference signals.\nAs long as the phase voltage is greater than the corresponding reference signal, the corresponding fire signal is true.\nThe switching pattern of the negative fire signal is just the inverse of the positive fire signal.\n</p>\n<p>\nThe user can choose from 4 different reference signals:\n</p>\n<ul>\n<li>Sawtooth1: sawtooth signal, same phase in all 3 phases</li>\n<li>Sawtooth3: sawtooth signal, phase shift between the 3 phases = period/3</li>\n<li>Triangle1: triangle signal, same phase in all 3 phases</li>\n<li>Triangle3: triangle signal, phase shift between the 3 phases = period/3</li>\n</ul>\n</html>"));
end IntersectivePWM;