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