package BondGraphLib2D connector BondPort "Bond graph 2D multibond power port" Real e[2] "Effort vector"; flow Real f[2] "Flow vector";annotation( Icon(graphics = {Rectangle(lineColor = {0, 85, 0}, fillColor = {0, 85, 0},fillPattern = FillPattern.Solid, extent = {{-60, 60}, {60, -60}})})); end BondPort; model J1 "Bond graph 2D 1-junction (common flow, efforts sum to zero)" parameter Integer N(min=1) = 2 "# of power ports"; parameter Real s[N] = fill(1.0, N) "Bond orientation signs used in the effort balance"; BondPort P[N] "Power ports" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(extent = {{-10, -10}, {10, 10}}))); Real f[2]; equation // Efforts sum to zero, with signs from bond directions for j in 1:2 loop sum(s[i] * P[i].e[j] for i in 1:N) = 0; end for; // Flows are all equal for i in 2:N loop P[i].f = P[i-1].f; end for; f = P[1].f; annotation( Icon(graphics = {Text(extent = {{-100, 100}, {100, -100}}, textString = "1", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end J1; model J0 "Bond graph 2D 0-junction (common effort, flows sum to zero)" parameter Integer N(min=1) = 2 "# of power ports"; parameter Real s[N] = fill(1.0, N) "Bond orientation signs used in the effort balance"; BondPort P[N] "Power ports" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(extent = {{-10, -10}, {10, 10}}))); Real e[2]; equation // Flows sum to zero, with signs from bond directions for j in 1:2 loop sum(s[i] * P[i].f[j] for i in 1:N) = 0; end for; // Efforts are all equal for i in 2:N loop P[i].e = P[1].e; end for; e = P[1].e; annotation( Icon(graphics = {Text(extent = {{-100, 100}, {100, -100}}, textString = "0", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end J0; partial model OnePortPassive "One-port passive 2D multibond element" BondPort p "Generic power port" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(extent = {{-10, -10}, {10, 10}}))); end OnePortPassive; partial model OnePortEnergetic "One-port 2D multibond storage element" extends OnePortPassive annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {0, 80}, extent = {{-10, -10}, {10, 10}}))); Real state[2] "Conserved quantity"; end OnePortEnergetic; model C "Bond graph 2D C element" extends OnePortEnergetic(state(start=q0, each fixed=true)); parameter Real c[2,2] = [1, 0; 0, 1] "Capacitance matrix inverse denominator form"; parameter Real q0[2] = {0, 0} "Initial stored quantity (charge)"; equation der(state) = p.f; c * p.e = state; annotation( Icon(graphics = {Text(extent = {{-100, 100}, {100, -100}}, textString = "C", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end C; model I "Bond graph 2D I element" extends OnePortEnergetic(state(start=p0, each fixed=true)); parameter Real I[2,2] = [1, 0; 0, 1] "Inertance / inductance / mass matrix"; parameter Real p0[2] = {0, 0} "Initial stored quantity (momentum / flux)"; equation der(state) = p.e; I * p.f = state; annotation( Icon(graphics = {Text(extent = {{-100, 100}, {100, -100}}, textString = "I", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end I; model R "Bond graph 2D resistor" extends OnePortPassive; parameter Real R[2,2] = [1, 0; 0, 1] "Resistance matrix"; equation p.e = R * p.f; annotation( Icon(graphics = {Text(extent = {{-100, 100}, {100, -100}}, textString = "R", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end R; model Se "Effort source" BondPort p annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); input Real e0[2] "Imposed effort"; equation p.e = e0; annotation( Icon(graphics = {Text(origin = {-20, 0}, extent = {{-80, 100}, {80, -100}}, textString = "Se", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end Se; model Sf "Flow source" BondPort p annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); input Real f0[2] "Imposed flow"; equation p.f = f0; annotation( Icon(graphics = {Text(origin = {-20, 0}, extent = {{-80, 100}, {80, -100}}, textString = "Sf", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end Sf; model TF "Bond graph 2D transformer" BondPort p1 "Port 1" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {-80, 0}, extent = {{-10, -10}, {10, 10}}))); BondPort p2 "Port 2" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); parameter Real n[2,2] = [1, 0; 0, 1] "Transformer ratio matrix"; equation p1.e = n * p2.e; transpose(n) * p1.f = p2.f; annotation( Icon(graphics = {Text(extent = {{-80, 100}, {80, -100}}, textString = "TF", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end TF; model GY "Bond graph 2D gyrator" BondPort p1 "Port 1" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {-80, 0}, extent = {{-10, -10}, {10, 10}}))); BondPort p2 "Port 2" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); parameter Real r[2,2] = [1, 0; 0, 1] "Gyrator modulus matrix"; equation p1.e = r * p2.f; p2.e = transpose(r) * p1.f; annotation( Icon(graphics = {Text(extent = {{-80, 100}, {80, -100}}, textString = "GY", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end GY; model mSe "Bond graph modulated effort source" BondPort p annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); Modelica.Blocks.Interfaces.RealInput e0[2] "Imposed effort" annotation( Placement(transformation(origin = {-8, -64}, extent = {{-20, -20}, {20, 20}}), iconTransformation(origin = {0, -78}, extent = {{-8, -8}, {8, 8}}, rotation = 90))); equation p.e = e0; annotation( Icon(graphics = {Text(origin = {-20, 0}, extent = {{-80, 100}, {80, -100}}, textString = "mSe", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end mSe; model mSf "Bond graph modulated flow source" BondPort p annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); Modelica.Blocks.Interfaces.RealInput f0[2] "Imposed flow" annotation( Placement(transformation(origin = {-8, -64}, extent = {{-20, -20}, {20, 20}}), iconTransformation(origin = {0, -78}, extent = {{-8, -8}, {8, 8}}, rotation = 90))); equation p.f = f0; annotation( Icon(graphics = {Text(origin = {-20, 0}, extent = {{-80, 100}, {80, -100}}, textString = "mSf", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end mSf; model mTF "Bond graph modulated transformer" BondPort p1 "Port 1" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {-80, 0}, extent = {{-10, -10}, {10, 10}}))); BondPort p2 "Port 2" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); Modelica.Blocks.Interfaces.RealInput m[2,2] "Modulation" annotation( Placement(transformation(origin = {-8, -64}, extent = {{-20, -20}, {20, 20}}), iconTransformation(origin = {0, -78}, extent = {{-8, -8}, {8, 8}}, rotation = 90))); equation p1.e = m * p2.e; transpose(m) * p1.f = p2.f; annotation( Diagram(graphics), Icon(graphics = {Text(extent = {{-60, 100}, {60, -100}}, textString = "mTF", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end mTF; model mGY "Bond graph modulated gyrator" BondPort p1 "Port 1" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {-80, 0}, extent = {{-10, -10}, {10, 10}}))); BondPort p2 "Port 2" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); Modelica.Blocks.Interfaces.RealInput m[2,2] "Modulation" annotation( Placement(transformation(origin = {-8, -64}, extent = {{-20, -20}, {20, 20}}), iconTransformation(origin = {0, -78}, extent = {{-8, -8}, {8, 8}}, rotation = 90))); equation p1.e = m * p2.f; p2.e = transpose(m) * p1.f; annotation( Diagram(graphics), Icon(graphics = {Text(extent = {{-60, 100}, {60, -100}}, textString = "mGY", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end mGY; package TransRotUtils model mTFrot2lin BondGraphLib.BondPort pR annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {-80, 0}, extent = {{-10, -10}, {10, 10}}))); BondPort pT annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); parameter Real r_body[2] = {1,0}; protected Real B[2]; equation B = {-r_body[2], r_body[1]}; pT.f = B * pR.f; pR.e = B[1]*pT.e[1] + B[2]*pT.e[2]; annotation( Icon(graphics = {Text(extent = {{-70, 100}, {70, -100}}, textString = "rlTF", textStyle = {TextStyle.Bold, TextStyle.UnderLine})})); end mTFrot2lin; model rTF BondPort p1 "Port 1" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {-80, 0}, extent = {{-10, -10}, {10, 10}}))); BondPort p2 "Port 2" annotation( Placement(transformation(origin = {-44, 18}, extent = {{-10, -10}, {10, 10}}), iconTransformation(origin = {80, 0}, extent = {{-10, -10}, {10, 10}}))); Modelica.Blocks.Interfaces.RealInput phi "angle" annotation( Placement(transformation(origin = {-8, -64}, extent = {{-20, -20}, {20, 20}}), iconTransformation(origin = {0, -78}, extent = {{-8, -8}, {8, 8}}, rotation = 90))); protected Real R[2,2]; equation R = [cos(phi), -sin(phi); sin(phi), cos(phi)]; p1.e = R * p2.e; transpose(R) * p1.f = p2.f; annotation( Diagram(graphics), Icon(graphics = {Text(extent = {{-60, 100}, {60, -100}}, textString = "rTF", textStyle = {TextStyle.Bold, TextStyle.UnderLine}) })); end rTF; end TransRotUtils; annotation( Icon(graphics = {Text(origin = {50, 0}, extent = {{-50, 100}, {50, -100}}, textString = "R", textStyle = {TextStyle.Bold}), Line(origin = {-45.22, 20.19}, points = {{-58.7774, -20.1934}, {21.2226, -20.1934}, {-38.7774, 19.8066}}, thickness = 5), Line(origin = {-9.81, -8.19}, points = {{-10.1934, 48.1934}, {-10.1934, -31.8066}}, thickness = 5), Line(origin = {-78, 16}, points = {{-26, 0}, {30, 0}}, thickness = 5)}), uses(Modelica(version = "4.1.0")), Diagram(graphics)); end BondGraphLib2D;