Ticket #4297: MutualInductanceTesting.mo

File MutualInductanceTesting.mo, 5.9 KB (added by Christian Kral <dr.christian.kral@…>, 9 years ago)

Package demonstrating issue of sum of complex quantities

Line 
1within ;
2package MutualInductanceTesting
3
4 model MutualInductorTest
5 extends Modelica.Icons.Example;
6
7 parameter Integer m=4 "Number of phases";
8 parameter Modelica.SIunits.Voltage Vmax=0.5 "Peak supply voltage";
9 parameter Modelica.SIunits.Frequency f=50 "Frequency";
10 parameter Modelica.SIunits.Resistance R=2.50862436E-02;
11 parameter Modelica.SIunits.Inductance L11=9.346575024E-04;
12 parameter Modelica.SIunits.Inductance L12=3.186119548E-04;
13 parameter Modelica.SIunits.Inductance L13=6.89656993E-04;
14 parameter Modelica.SIunits.Inductance L14=4.550194689E-04;
15 parameter Modelica.SIunits.Inductance L21=3.186119548E-04;
16 parameter Modelica.SIunits.Inductance L22=9.346575024E-04;
17 parameter Modelica.SIunits.Inductance L23=4.550194689E-04;
18 parameter Modelica.SIunits.Inductance L24=6.89656993E-04;
19 parameter Modelica.SIunits.Inductance L31=6.896570219E-04;
20 parameter Modelica.SIunits.Inductance L32=4.550194784E-04;
21 parameter Modelica.SIunits.Inductance L33=9.346544792E-04;
22 parameter Modelica.SIunits.Inductance L34=6.896568904E-04;
23 parameter Modelica.SIunits.Inductance L41=4.550194784E-04;
24 parameter Modelica.SIunits.Inductance L42=6.896570219E-04;
25 parameter Modelica.SIunits.Inductance L43=6.896568904E-04;
26 parameter Modelica.SIunits.Inductance L44=9.346544792E-04;
27 parameter Modelica.SIunits.Inductance L[m,m]={{L11,L12,L13,L14},{L21,L22,L23,L24},{L31,L32,L33,L34},{L41,L42,L43,L44}};
28
29 MutualInductor mutualInductor(L=L, m=m,epsilon=1E-7) annotation (Placement(transformation(extent={{-20,20},{0,40}})));
30 Modelica.Electrical.QuasiStationary.MultiPhase.Sources.VoltageSource voltageSource(
31 m=m,
32 V=fill(Vmax/sqrt(2), m),
33 phi=fill(0, m),
34 f=f) annotation (Placement(transformation(
35 extent={{-10,-10},{10,10}},
36 rotation=270,
37 origin={-60,10})));
38 Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Resistor resistor(m=m, R_ref=fill(R, m)) annotation (Placement(transformation(extent={{-50,20},{-30,40}})));
39 Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Star star(m=m) annotation (Placement(transformation(
40 extent={{-10,-10},{10,10}},
41 rotation=270,
42 origin={-60,-20})));
43 Modelica.Electrical.QuasiStationary.SinglePhase.Basic.Ground ground annotation (Placement(transformation(extent={{-70,-60},{-50,-40}})));
44 equation
45 connect(ground.pin, star.pin_n) annotation (Line(points={{-60,-40},{-60,-35},{-60,-30}}, color={85,170,255}));
46 connect(star.plug_p, voltageSource.plug_n) annotation (Line(points={{-60,-10},{-60,-5},{-60,0}}, color={85,170,255}));
47 connect(voltageSource.plug_p, resistor.plug_p) annotation (Line(points={{-60,20},{-60,20},{-60,28},{-60,30},{-50,30}}, color={85,170,255}));
48 connect(resistor.plug_n, mutualInductor.plug_p) annotation (Line(points={{-30,30},{-25,30},{-20,30}}, color={85,170,255}));
49 connect(mutualInductor.plug_n, star.plug_p) annotation (Line(points={{0,30},{6,30},{10,30},{10,-4},{10,-10},{-60,-10}}, color={85,170,255}));
50 end MutualInductorTest;
51
52 model MutualInductor
53 extends Modelica.Electrical.QuasiStationary.MultiPhase.Interfaces.OnePort;
54 import Modelica.ComplexMath.j;
55 parameter Real epsilon=1e-9
56 "Relative accuracy tolerance of matrix symmetry";
57 parameter Modelica.SIunits.Inductance L[m, m] "Mutual inductance matrix";
58 initial equation
59 if abs(Modelica.Math.Matrices.det(L)) < epsilon then
60 Modelica.Utilities.Streams.print(
61 "Warning: mutual inductance matrix singular!");
62 end if;
63 equation
64 assert(sum(abs(L - transpose(L))) < epsilon*sum(abs(L)),
65 "Mutual inductance matrix is not symmetric");
66 for j in 1:m loop
67 v[j] = sum(j*omega*L[j, k]*i[k] for k in 1:m);
68 end for;
69 annotation (Documentation(info="<html>
70<p>
71Model of a multi phase inductor providing a mutual inductance matrix model.
72</p>
73<H4>Implementation</H4>
74<pre>
75 v[1] = j*omega*L[1,1]*i[1] + j*omega*L[1,2]*i[2] + ... + j*omega*L[1,m]*i[m]
76 v[2] = j*omega*L[2,1]*i[1] + j*omega*L[2,2]*i[2] + ... + j*omega*L[2,m]*i[m]
77 : : : :
78 v[m] = j*omega*L[m,1]*i[1] + j*omega*L[m,2]*i[2] + ... + j*omega*L[m,m]*i[m]
79</pre>
80
81</html>"),
82 Icon(graphics={
83 Ellipse(extent={{30,-50},{60,10}}, lineColor={85,170,255}),
84 Ellipse(extent={{0,-50},{30,10}}, lineColor={85,170,255}),
85 Ellipse(extent={{-30,-50},{0,10}}, lineColor={85,170,255}),
86 Ellipse(extent={{-60,-50},{-30,10}}, lineColor={85,170,255}),
87 Line(points={{-80,20},{-80,-20},{-60,-20}}, color={85,170,255}),
88 Line(points={{-80,20},{-60,20}}, color={85,170,255}),
89 Ellipse(extent={{-60,-10},{-30,50}}, lineColor={85,170,255}),
90 Ellipse(extent={{-30,-10},{0,50}}, lineColor={85,170,255}),
91 Ellipse(extent={{0,-10},{30,50}}, lineColor={85,170,255}),
92 Ellipse(extent={{30,-10},{60,50}}, lineColor={85,170,255}),
93 Line(points={{60,20},{80,20}}, color={85,170,255}),
94 Line(points={{80,20},{80,-20},{60,-20}}, color={85,170,255}),
95 Rectangle(
96 extent={{-60,0},{60,20}},
97 fillColor={255,255,255},
98 fillPattern=FillPattern.Solid,
99 pattern=LinePattern.None),
100 Rectangle(
101 extent={{-60,-20},{60,0}},
102 fillColor={255,255,255},
103 fillPattern=FillPattern.Solid,
104 pattern=LinePattern.None),
105 Line(points={{-90,0},{-80,0}}, color={85,170,255}),
106 Line(points={{80,0},{90,0}}, color={85,170,255}),
107 Text(
108 extent={{100,60},{-100,100}},
109 textString="%name",
110 lineColor={0,0,255}),
111 Text(
112 extent={{-100,-100},{100,-60}},
113 lineColor={0,0,0},
114 textString="m=%m")}));
115 end MutualInductor;
116 annotation (Icon(coordinateSystem(preserveAspectRatio=false)), Diagram(coordinateSystem(preserveAspectRatio=false)),
117 uses(Modelica(version="3.2.2")));
118end MutualInductanceTesting;