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: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
52: PetscFunctionBeginUser;
53: PetscCall(PetscInitialize(&argc, &argv, (char *)0, help));
54: PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
55: PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "Only for sequential runs");
57: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
58: Create necessary matrix and vectors
59: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
60: PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
61: PetscCall(MatSetSizes(A, n, n, PETSC_DETERMINE, PETSC_DETERMINE));
62: PetscCall(MatSetType(A, MATDENSE));
63: PetscCall(MatSetFromOptions(A));
64: PetscCall(MatSetUp(A));
66: PetscCall(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: PetscCall(PetscOptionsScalar("-Inertia", "", "", ctx.H, &ctx.H, NULL));
77: ctx.D = 5.0;
78: PetscCall(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: PetscCall(PetscOptionsScalar("-Pmax", "", "", ctx.Pmax, &ctx.Pmax, NULL));
85: ctx.Pm = 0.9;
86: PetscCall(PetscOptionsScalar("-Pm", "", "", ctx.Pm, &ctx.Pm, NULL));
87: ctx.tf = 1.0;
88: ctx.tcl = 1.05;
89: PetscCall(PetscOptionsReal("-tf", "Time to start fault", "", ctx.tf, &ctx.tf, NULL));
90: PetscCall(PetscOptionsReal("-tcl", "Time to end fault", "", ctx.tcl, &ctx.tcl, NULL));
91: PetscCall(PetscOptionsBool("-ensemble", "Run ensemble of different initial conditions", "", ensemble, &ensemble, NULL));
92: if (ensemble) {
93: ctx.tf = -1;
94: ctx.tcl = -1;
95: }
97: PetscCall(VecGetArray(U, &u));
98: u[0] = PetscAsinScalar(ctx.Pm / ctx.Pmax);
99: u[1] = 1.0;
100: PetscCall(PetscOptionsRealArray("-u", "Initial solution", "", u, &n, &flg1));
101: n = 2;
102: PetscCall(PetscOptionsRealArray("-du", "Perturbation in initial solution", "", du, &n, &flg2));
103: u[0] += du[0];
104: u[1] += du[1];
105: PetscCall(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: PetscCall(TSCreate(PETSC_COMM_WORLD, &ts));
117: PetscCall(TSSetProblemType(ts, TS_NONLINEAR));
118: PetscCall(TSSetType(ts, TSTHETA));
119: PetscCall(TSSetEquationType(ts, TS_EQ_IMPLICIT));
120: PetscCall(TSARKIMEXSetFullyImplicit(ts, PETSC_TRUE));
121: PetscCall(TSSetIFunction(ts, NULL, (TSIFunction)IFunction, &ctx));
122: PetscCall(TSSetIJacobian(ts, A, A, (TSIJacobian)IJacobian, &ctx));
124: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
125: Set initial conditions
126: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
127: PetscCall(TSSetSolution(ts, U));
129: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
130: Set solver options
131: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
132: PetscCall(TSSetMaxTime(ts, 35.0));
133: PetscCall(TSSetExactFinalTime(ts, TS_EXACTFINALTIME_MATCHSTEP));
134: PetscCall(TSSetTimeStep(ts, .1));
135: PetscCall(TSSetFromOptions(ts));
137: direction[0] = direction[1] = 1;
138: terminate[0] = terminate[1] = PETSC_FALSE;
140: PetscCall(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: PetscCall(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: PetscCall(VecRestoreArray(U, &u));
153: PetscCall(TSSetTimeStep(ts, .01));
154: PetscCall(TSSolve(ts, U));
155: }
156: } else {
157: PetscCall(TSSolve(ts, U));
158: }
159: PetscCall(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: PetscCall(MatDestroy(&A));
164: PetscCall(VecDestroy(&U));
165: PetscCall(TSDestroy(&ts));
166: PetscCall(PetscFinalize());
167: return 0;
168: }
170: /*TEST
172: build:
173: requires: !complex !single
175: test:
176: args: -nox
178: TEST*/