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Exercise 4: 

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  • The three-phase non-linear inductor’s value depends on the rectified three-phase voltage across it.
  • The non linearity is defined by an inductance table Lvec of dimension Ldim values picked at regular voltage interval Vinc.
  • The inductor is connected to the network by its external node T. Three phase currents Ia, Ib, Ic are sent out to the connector I, the rectified three-phase voltage across L is sent out at connector Vrec. The inductor has Y grounded configuration.

Codes

Code Block
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN GENERAL INFORMATION -- Enter or modify general information
UCM_NAME = Lnlin
UCM_TYPE = NetworkElement
UCM_CATEGORY = User
UCM_VERSION = "1.0"
UCM_EXEC_TIME = 5.0e-6
UCM_DESCRIPTION = "Non-linear inductor"
%% END GENERAL INFORMATION
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN DOCUMENTATION -- Enter model’s documentation after this line...
Non-linear inductor:
L depend on rectified value of three-phase voltages across it
%% END DOCUMENTATION
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN TUNABLE PARAMETERS -- Enter parameters table after this line...
Lvec "Lvec" H double 9 [1.0 0.60 0.36 0.22 0.13 0.08 0.04 0.03 0.01] 0.0 10.0 - "Lvec"
Vinc "Vinc" V double 1 500 0.0 1000 - "Vinc"
Ldim "Ldim" - int 1 9 0.0 10.0 - "Ldim"
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN CONTROL IOS -- Enter control IOs table after this line...
Ia A double out auto I "Current phase a"
Ib A double out auto I "Current phase b"
Ic A double out auto I "Current phase c"
Db1 - double out auto Db "Debugging signal no. 1"
Db2 - double out auto Db "Debugging signal no. 2"
Db3 - double out auto Db "Debugging signal no. 3"
Vrec V double out auto - "Rectified 3-phase voltage across L"
%% END CONTROL IOS
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN NODES DEFINITIONS -- Enter nodes table after this line...
T 3 extern top yes "Network Connection"
%% END NODES DEFINITIONS
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN HISTORICAL CURRENTS -- Enter historical currents table after this...
Ihist_a ground T_a
Ihist_b ground T_b
Ihist_c ground T_c
%% END HISTORICAL CURRENTS
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN CALCULATED PARAMETERS -- Enter parameters table after this line...
GaddVec - double 9 "Additional conductance of L"
Lchanged - int 1 "Indicate that L has changed"
Lindex - int 1 "Index in table GaddVec"
%% END CALCULATED PARAMETERS
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN PREPARATION FUNCTION CODE -- Enter code after this line...
int i, j;
doubleGLo, Lo;
/* Initialize Yini and Yfill */
for (i = 0; i < 3; i++)
{
for (j = 0; j < 3; j++)
{
ucmYini(i,j) = 0.0;
ucmYfill(i,j) = 0;
}
}
/* Compute Yini and define Yfill */
Lo = Lvec[0];
GLo = ucmTimeStep / (2.0 * Lo);
ucmYini(T_a, T_a) = GLo;
ucmYini(T_b, T_b) = GLo;
ucmYini(T_c, T_c) = GLo;
ucmYfill(T_a, T_a) = 1;
ucmYfill(T_b, T_b) = 1;
ucmYfill(T_c, T_c) = 1;
/* Calculate GaddVec, conductance to be added when L changes */
for (i = 0; i < Ldim; i++)
{
GaddVec[i] = (ucmTimeStep / (2.0 * Lvec[i])) - GLo;
}
%% END PREPARATION FUNCTION CODE
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN SIMULATION INITIALIZATION FUNCTION CODE -- Enter code ->...
Lindex = 0;
Lchanged = 0;
%% END SIMULATION INITIALIZATION FUNCTION CODE
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%%vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
%% BEGIN BEFORE VOLTAGE CALCULATION CODE -- Enter code ->...
/* User code: calulate Yadd */
int i;
/* Initialize indication of nodes affacted by changing in L */
for (i = 0; i < 3; i++)
ucmNodeChanged(i) = 0;
/* If L has been changed, determine the additional conductance and
indicate that corresponding nodes are affected */
if (Lchanged)
{
ucmYadd(T_a,T_a) = GaddVec[Lindex];
ucmYadd(T_b,T_b) = GaddVec[Lindex];
ucmYadd(T_c,T_c) = GaddVec[Lindex];
ucmNodeChanged(T_a) = 1;
ucmNodeChanged(T_b) = 1;
ucmNodeChanged(T_c) = 1;
}
%% END BEFORE VOLTAGE CALCULATION CODE
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
%% BEGIN AFTER VOLTAGE CALCULATION -- Enter code ->...
doubleLo, GLo, GL;
doubleVL_a;
doubleVL_b;
doubleVL_c;
int index;
/* Calculate rectified of 3 phase voltage across L */
VL_a = ucmVNode(T_a);
VL_b = ucmVNode(T_b);
VL_c = ucmVNode(T_c);
Vrec = fabs(VL_a);
if (Vrec < fabs(VL_b))
Vrec = fabs(VL_b);
if (Vrec < fabs(VL_c))
Vrec = fabs(VL_c);
/* Calculate historic currents */
Lo = Lvec[0];
GLo = ucmTimeStep / (2.0 * Lo);
GL = GLo + GaddVec[Lindex];
Ia = VL_a * GL + Ihist_a;
Ihist_a = Ia + VL_a * GL;
Ib = VL_b * GL + Ihist_b;
Ihist_b = Ib + VL_b * GL;
Ic = VL_c * GL + Ihist_c;
Ihist_c = Ic + VL_c * GL;
/* New operating point of L: calculate the index in the non-linear table */
Lchanged = 0;
index = (int)(Vrec / Vinc);
if (index > Ldim-1) /* To avoid of going outside of the table */
index = Ldim - 1;
if (index < 0)
index = 0;
if (index != Lindex) /* Compare index with its past value (historic) */
{
Lindex = index;
Lchanged = 1;
}
/* Debugging signal */
Db1 = Lchanged;
Db2 = index;
Db3 = 0.0;
%% END AFTER VOLTAGE CALCULATION CODE
%%^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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