Actual source code: ex3.c
1: static char help[] = "Basic equation for generator stability analysis.\n";
3: /*F
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}
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
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
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
19: F*/
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: */
31: #include <petscts.h>
32: #include "ex3.h"
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];
48: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
49: Initialize program
50: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
51: PetscFunctionBeginUser;
52: PetscCall(PetscInitialize(&argc, &argv, (char *)0, 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");
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));
65: PetscCall(MatCreateVecs(A, &U, NULL));
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: }
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();
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));
123: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
124: Set initial conditions
125: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
126: PetscCall(TSSetSolution(ts, U));
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));
136: direction[0] = direction[1] = 1;
137: terminate[0] = terminate[1] = PETSC_FALSE;
139: PetscCall(TSSetEventHandler(ts, 2, direction, terminate, EventFunction, PostEventFunction, (void *)&ctx));
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: }
169: /*TEST
171: build:
172: requires: !complex !single
174: test:
175: args: -nox
177: TEST*/