1 static char help[] = "Basic equation for generator stability analysis.\n";
2
3 /*F
4
5 \begin{eqnarray}
6 \frac{d \theta}{dt} = \omega_b (\omega - \omega_s)
7 \frac{2 H}{\omega_s}\frac{d \omega}{dt} & = & P_m - P_max \sin(\theta) -D(\omega - \omega_s)\\
8 \end{eqnarray}
9
10 Ensemble of initial conditions
11 ./ex3 -ensemble -ts_monitor_draw_solution_phase -1,-3,3,3 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly
12
13 Fault at .1 seconds
14 ./ex3 -ts_monitor_draw_solution_phase .42,.95,.6,1.05 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly
15
16 Initial conditions same as when fault is ended
17 ./ex3 -u 0.496792,1.00932 -ts_monitor_draw_solution_phase .42,.95,.6,1.05 -ts_adapt_dt_max .01 -ts_monitor -ts_type rosw -pc_type lu -ksp_type preonly
18
19 F*/
20
21 /*
22 Include "petscts.h" so that we can use TS solvers. Note that this
23 file automatically includes:
24 petscsys.h - base PETSc routines petscvec.h - vectors
25 petscmat.h - matrices
26 petscis.h - index sets petscksp.h - Krylov subspace methods
27 petscviewer.h - viewers petscpc.h - preconditioners
28 petscksp.h - linear solvers
29 */
30
31 #include <petscts.h>
32 #include "ex3.h"
33
main(int argc,char ** argv)34 int main(int argc, char **argv)
35 {
36 TS ts; /* ODE integrator */
37 Vec U; /* solution will be stored here */
38 Mat A; /* Jacobian matrix */
39 PetscMPIInt size;
40 PetscInt n = 2;
41 AppCtx ctx;
42 PetscScalar *u;
43 PetscReal du[2] = {0.0, 0.0};
44 PetscBool ensemble = PETSC_FALSE, flg1, flg2;
45 PetscInt direction[2];
46 PetscBool terminate[2];
47
48 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
49 Initialize program
50 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
51 PetscFunctionBeginUser;
52 PetscCall(PetscInitialize(&argc, &argv, NULL, help));
53 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
54 PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "Only for sequential runs");
55
56 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
57 Create necessary matrix and vectors
58 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
59 PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
60 PetscCall(MatSetSizes(A, n, n, PETSC_DETERMINE, PETSC_DETERMINE));
61 PetscCall(MatSetType(A, MATDENSE));
62 PetscCall(MatSetFromOptions(A));
63 PetscCall(MatSetUp(A));
64
65 PetscCall(MatCreateVecs(A, &U, NULL));
66
67 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
68 Set runtime options
69 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
70 PetscOptionsBegin(PETSC_COMM_WORLD, NULL, "Swing equation options", "");
71 {
72 ctx.omega_b = 1.0;
73 ctx.omega_s = 2.0 * PETSC_PI * 60.0;
74 ctx.H = 5.0;
75 PetscCall(PetscOptionsScalar("-Inertia", "", "", ctx.H, &ctx.H, NULL));
76 ctx.D = 5.0;
77 PetscCall(PetscOptionsScalar("-D", "", "", ctx.D, &ctx.D, NULL));
78 ctx.E = 1.1378;
79 ctx.V = 1.0;
80 ctx.X = 0.545;
81 ctx.Pmax = ctx.E * ctx.V / ctx.X;
82 ctx.Pmax_ini = ctx.Pmax;
83 PetscCall(PetscOptionsScalar("-Pmax", "", "", ctx.Pmax, &ctx.Pmax, NULL));
84 ctx.Pm = 0.9;
85 PetscCall(PetscOptionsScalar("-Pm", "", "", ctx.Pm, &ctx.Pm, NULL));
86 ctx.tf = 1.0;
87 ctx.tcl = 1.05;
88 PetscCall(PetscOptionsReal("-tf", "Time to start fault", "", ctx.tf, &ctx.tf, NULL));
89 PetscCall(PetscOptionsReal("-tcl", "Time to end fault", "", ctx.tcl, &ctx.tcl, NULL));
90 PetscCall(PetscOptionsBool("-ensemble", "Run ensemble of different initial conditions", "", ensemble, &ensemble, NULL));
91 if (ensemble) {
92 ctx.tf = -1;
93 ctx.tcl = -1;
94 }
95
96 PetscCall(VecGetArray(U, &u));
97 u[0] = PetscAsinScalar(ctx.Pm / ctx.Pmax);
98 u[1] = 1.0;
99 PetscCall(PetscOptionsRealArray("-u", "Initial solution", "", u, &n, &flg1));
100 n = 2;
101 PetscCall(PetscOptionsRealArray("-du", "Perturbation in initial solution", "", du, &n, &flg2));
102 u[0] += du[0];
103 u[1] += du[1];
104 PetscCall(VecRestoreArray(U, &u));
105 if (flg1 || flg2) {
106 ctx.tf = -1;
107 ctx.tcl = -1;
108 }
109 }
110 PetscOptionsEnd();
111
112 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113 Create timestepping solver context
114 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
115 PetscCall(TSCreate(PETSC_COMM_WORLD, &ts));
116 PetscCall(TSSetProblemType(ts, TS_NONLINEAR));
117 PetscCall(TSSetType(ts, TSTHETA));
118 PetscCall(TSSetEquationType(ts, TS_EQ_IMPLICIT));
119 PetscCall(TSARKIMEXSetFullyImplicit(ts, PETSC_TRUE));
120 PetscCall(TSSetIFunction(ts, NULL, (TSIFunctionFn *)IFunction, &ctx));
121 PetscCall(TSSetIJacobian(ts, A, A, (TSIJacobianFn *)IJacobian, &ctx));
122
123 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
124 Set initial conditions
125 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
126 PetscCall(TSSetSolution(ts, U));
127
128 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
129 Set solver options
130 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
131 PetscCall(TSSetMaxTime(ts, 35.0));
132 PetscCall(TSSetExactFinalTime(ts, TS_EXACTFINALTIME_MATCHSTEP));
133 PetscCall(TSSetTimeStep(ts, .1));
134 PetscCall(TSSetFromOptions(ts));
135
136 direction[0] = direction[1] = 1;
137 terminate[0] = terminate[1] = PETSC_FALSE;
138
139 PetscCall(TSSetEventHandler(ts, 2, direction, terminate, EventFunction, PostEventFunction, (void *)&ctx));
140
141 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
142 Solve nonlinear system
143 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
144 if (ensemble) {
145 for (du[1] = -2.5; du[1] <= .01; du[1] += .1) {
146 PetscCall(VecGetArray(U, &u));
147 u[0] = PetscAsinScalar(ctx.Pm / ctx.Pmax);
148 u[1] = ctx.omega_s;
149 u[0] += du[0];
150 u[1] += du[1];
151 PetscCall(VecRestoreArray(U, &u));
152 PetscCall(TSSetTimeStep(ts, .01));
153 PetscCall(TSSolve(ts, U));
154 }
155 } else {
156 PetscCall(TSSolve(ts, U));
157 }
158 PetscCall(VecView(U, PETSC_VIEWER_STDOUT_WORLD));
159 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
160 Free work space. All PETSc objects should be destroyed when they are no longer needed.
161 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
162 PetscCall(MatDestroy(&A));
163 PetscCall(VecDestroy(&U));
164 PetscCall(TSDestroy(&ts));
165 PetscCall(PetscFinalize());
166 return 0;
167 }
168
169 /*TEST
170
171 build:
172 requires: !complex !single
173
174 test:
175 args: -nox
176
177 TEST*/
178