Actual source code: ex3.c
petsc-3.12.1 2019-10-22
2: static char help[] = "Basic equation for generator stability analysis.\n" ;
\begin{eqnarray}
\frac{d \theta}{dt} = \omega_b (\omega - \omega_s)
\frac{2 H}{\omega_s}\frac{d \omega}{dt} & = & P_m - P_max \sin(\theta) -D(\omega - \omega_s)\\
\end{eqnarray}
Ensemble of initial conditions
./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
Fault at .1 seconds
./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
Initial conditions same as when fault is ended
./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
25: /*
26: Include "petscts.h" so that we can use TS solvers. Note that this
27: file automatically includes:
28: petscsys.h - base PETSc routines petscvec.h - vectors
29: petscmat.h - matrices
30: petscis.h - index sets petscksp.h - Krylov subspace methods
31: petscviewer.h - viewers petscpc.h - preconditioners
32: petscksp.h - linear solvers
33: */
34: /*T
36: T*/
38: #include <petscts.h>
39: #include "ex3.h"
41: int main(int argc,char **argv)
42: {
43: TS ts; /* ODE integrator */
44: Vec U; /* solution will be stored here */
45: Mat A; /* Jacobian matrix */
47: PetscMPIInt size;
48: PetscInt n = 2;
49: AppCtx ctx;
50: PetscScalar *u;
51: PetscReal du[2] = {0.0,0.0};
52: PetscBool ensemble = PETSC_FALSE ,flg1,flg2;
53: PetscInt direction[2];
54: PetscBool terminate[2];
56: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
57: Initialize program
58: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
59: PetscInitialize (&argc,&argv,(char*)0,help);if (ierr) return ierr;
60: MPI_Comm_size (PETSC_COMM_WORLD ,&size);
61: if (size > 1) SETERRQ (PETSC_COMM_WORLD ,PETSC_ERR_SUP,"Only for sequential runs" );
63: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
64: Create necessary matrix and vectors
65: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
66: MatCreate (PETSC_COMM_WORLD ,&A);
67: MatSetSizes (A,n,n,PETSC_DETERMINE ,PETSC_DETERMINE );
68: MatSetType (A,MATDENSE );
69: MatSetFromOptions (A);
70: MatSetUp (A);
72: MatCreateVecs (A,&U,NULL);
74: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
75: Set runtime options
76: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
77: PetscOptionsBegin (PETSC_COMM_WORLD ,NULL,"Swing equation options" ,"" );
78: {
79: ctx.omega_b = 1.0;
80: ctx.omega_s = 2.0*PETSC_PI*60.0;
81: ctx.H = 5.0;
82: PetscOptionsScalar ("-Inertia" ,"" ,"" ,ctx.H,&ctx.H,NULL);
83: ctx.D = 5.0;
84: PetscOptionsScalar ("-D" ,"" ,"" ,ctx.D,&ctx.D,NULL);
85: ctx.E = 1.1378;
86: ctx.V = 1.0;
87: ctx.X = 0.545;
88: ctx.Pmax = ctx.E*ctx.V/ctx.X;
89: ctx.Pmax_ini = ctx.Pmax;
90: PetscOptionsScalar ("-Pmax" ,"" ,"" ,ctx.Pmax,&ctx.Pmax,NULL);
91: ctx.Pm = 0.9;
92: PetscOptionsScalar ("-Pm" ,"" ,"" ,ctx.Pm,&ctx.Pm,NULL);
93: ctx.tf = 1.0;
94: ctx.tcl = 1.05;
95: PetscOptionsReal ("-tf" ,"Time to start fault" ,"" ,ctx.tf,&ctx.tf,NULL);
96: PetscOptionsReal ("-tcl" ,"Time to end fault" ,"" ,ctx.tcl,&ctx.tcl,NULL);
97: PetscOptionsBool ("-ensemble" ,"Run ensemble of different initial conditions" ,"" ,ensemble,&ensemble,NULL);
98: if (ensemble) {
99: ctx.tf = -1;
100: ctx.tcl = -1;
101: }
103: VecGetArray (U,&u);
104: u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax);
105: u[1] = 1.0;
106: PetscOptionsRealArray ("-u" ,"Initial solution" ,"" ,u,&n,&flg1);
107: n = 2;
108: PetscOptionsRealArray ("-du" ,"Perturbation in initial solution" ,"" ,du,&n,&flg2);
109: u[0] += du[0];
110: u[1] += du[1];
111: VecRestoreArray (U,&u);
112: if (flg1 || flg2) {
113: ctx.tf = -1;
114: ctx.tcl = -1;
115: }
116: }
117: PetscOptionsEnd ();
119: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
120: Create timestepping solver context
121: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
122: TSCreate (PETSC_COMM_WORLD ,&ts);
123: TSSetProblemType (ts,TS_NONLINEAR );
124: TSSetType (ts,TSTHETA );
125: TSSetEquationType (ts,TS_EQ_IMPLICIT );
126: TSARKIMEXSetFullyImplicit (ts,PETSC_TRUE );
127: TSSetIFunction (ts,NULL,(TSIFunction) IFunction,&ctx);
128: TSSetIJacobian (ts,A,A,(TSIJacobian)IJacobian,&ctx);
130: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
131: Set initial conditions
132: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
133: TSSetSolution (ts,U);
135: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
136: Set solver options
137: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
138: TSSetMaxTime (ts,35.0);
139: TSSetExactFinalTime (ts,TS_EXACTFINALTIME_MATCHSTEP );
140: TSSetTimeStep (ts,.1);
141: TSSetFromOptions (ts);
143: direction[0] = direction[1] = 1;
144: terminate[0] = terminate[1] = PETSC_FALSE ;
146: TSSetEventHandler (ts,2,direction,terminate,EventFunction,PostEventFunction,(void*)&ctx);
148: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
149: Solve nonlinear system
150: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
151: if (ensemble) {
152: for (du[1] = -2.5; du[1] <= .01; du[1] += .1) {
153: VecGetArray (U,&u);
154: u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax);
155: u[1] = ctx.omega_s;
156: u[0] += du[0];
157: u[1] += du[1];
158: VecRestoreArray (U,&u);
159: TSSetTimeStep (ts,.01);
160: TSSolve (ts,U);
161: }
162: } else {
163: TSSolve (ts,U);
164: }
165: VecView (U,PETSC_VIEWER_STDOUT_WORLD );
166: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
167: Free work space. All PETSc objects should be destroyed when they are no longer needed.
168: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
169: MatDestroy (&A);
170: VecDestroy (&U);
171: TSDestroy (&ts);
172: PetscFinalize ();
173: return ierr;
174: }
177: /*TEST
179: build:
180: requires: !complex !single
182: test:
183: args: -nox
185: TEST*/