Actual source code: ex3.c
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*/