1 static char help[] = "Finds optimal parameter P_m for the generator system while maintaining generator stability.\n";
2
3 /*F
4
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}
9
10 F*/
11
12 /*
13 Solve the same optimization problem as in ex3opt.c.
14 Use finite difference to approximate the gradients.
15 */
16 #include <petsctao.h>
17 #include <petscts.h>
18 #include "ex3.h"
19
20 PetscErrorCode FormFunction(Tao, Vec, PetscReal *, void *);
21
monitor(Tao tao,AppCtx * ctx)22 PetscErrorCode monitor(Tao tao, AppCtx *ctx)
23 {
24 FILE *fp;
25 PetscInt iterate;
26 PetscReal f, gnorm, cnorm, xdiff;
27 Vec X, G;
28 const PetscScalar *x, *g;
29 TaoConvergedReason reason;
30
31 PetscFunctionBeginUser;
32 PetscCall(TaoGetSolutionStatus(tao, &iterate, &f, &gnorm, &cnorm, &xdiff, &reason));
33 PetscCall(TaoGetSolution(tao, &X));
34 PetscCall(TaoGetGradient(tao, &G, NULL, NULL));
35 PetscCall(VecGetArrayRead(X, &x));
36 PetscCall(VecGetArrayRead(G, &g));
37 fp = fopen("ex3opt_fd_conv.out", "a");
38 PetscCall(PetscFPrintf(PETSC_COMM_WORLD, fp, "%" PetscInt_FMT " %g %.12lf %.12lf\n", iterate, (double)gnorm, (double)PetscRealPart(x[0]), (double)PetscRealPart(g[0])));
39 PetscCall(VecRestoreArrayRead(X, &x));
40 PetscCall(VecRestoreArrayRead(G, &g));
41 fclose(fp);
42 PetscFunctionReturn(PETSC_SUCCESS);
43 }
44
main(int argc,char ** argv)45 int main(int argc, char **argv)
46 {
47 Vec p;
48 PetscScalar *x_ptr;
49 PetscMPIInt size;
50 AppCtx ctx;
51 Vec lowerb, upperb;
52 Tao tao;
53 KSP ksp;
54 PC pc;
55 PetscBool printtofile;
56 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
57 Initialize program
58 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
59 PetscFunctionBeginUser;
60 PetscCall(PetscInitialize(&argc, &argv, NULL, help));
61 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
62 PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only!");
63
64 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
65 Set runtime options
66 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
67 PetscOptionsBegin(PETSC_COMM_WORLD, NULL, "Swing equation options", "");
68 {
69 ctx.beta = 2;
70 ctx.c = 10000.0;
71 ctx.u_s = 1.0;
72 ctx.omega_s = 1.0;
73 ctx.omega_b = 120.0 * PETSC_PI;
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 = 1.06;
85 PetscCall(PetscOptionsScalar("-Pm", "", "", ctx.Pm, &ctx.Pm, NULL));
86 ctx.tf = 0.1;
87 ctx.tcl = 0.2;
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 printtofile = PETSC_FALSE;
91 PetscCall(PetscOptionsBool("-printtofile", "Print convergence results to file", "", printtofile, &printtofile, NULL));
92 }
93 PetscOptionsEnd();
94
95 /* Create TAO solver and set desired solution method */
96 PetscCall(TaoCreate(PETSC_COMM_WORLD, &tao));
97 PetscCall(TaoSetType(tao, TAOBLMVM));
98 if (printtofile) PetscCall(TaoMonitorSet(tao, (PetscErrorCode (*)(Tao, void *))monitor, (void *)&ctx, NULL));
99 PetscCall(TaoSetMaximumIterations(tao, 30));
100 /*
101 Optimization starts
102 */
103 /* Set initial solution guess */
104 PetscCall(VecCreateSeq(PETSC_COMM_WORLD, 1, &p));
105 PetscCall(VecGetArray(p, &x_ptr));
106 x_ptr[0] = ctx.Pm;
107 PetscCall(VecRestoreArray(p, &x_ptr));
108
109 PetscCall(TaoSetSolution(tao, p));
110 /* Set routine for function and gradient evaluation */
111 PetscCall(TaoSetObjective(tao, FormFunction, (void *)&ctx));
112 PetscCall(TaoSetGradient(tao, NULL, TaoDefaultComputeGradient, (void *)&ctx));
113
114 /* Set bounds for the optimization */
115 PetscCall(VecDuplicate(p, &lowerb));
116 PetscCall(VecDuplicate(p, &upperb));
117 PetscCall(VecGetArray(lowerb, &x_ptr));
118 x_ptr[0] = 0.;
119 PetscCall(VecRestoreArray(lowerb, &x_ptr));
120 PetscCall(VecGetArray(upperb, &x_ptr));
121 x_ptr[0] = 1.1;
122 PetscCall(VecRestoreArray(upperb, &x_ptr));
123 PetscCall(TaoSetVariableBounds(tao, lowerb, upperb));
124
125 /* Check for any TAO command line options */
126 PetscCall(TaoSetFromOptions(tao));
127 PetscCall(TaoGetKSP(tao, &ksp));
128 if (ksp) {
129 PetscCall(KSPGetPC(ksp, &pc));
130 PetscCall(PCSetType(pc, PCNONE));
131 }
132
133 /* SOLVE THE APPLICATION */
134 PetscCall(TaoSolve(tao));
135
136 PetscCall(VecView(p, PETSC_VIEWER_STDOUT_WORLD));
137
138 /* Free TAO data structures */
139 PetscCall(TaoDestroy(&tao));
140 PetscCall(VecDestroy(&p));
141 PetscCall(VecDestroy(&lowerb));
142 PetscCall(VecDestroy(&upperb));
143 PetscCall(PetscFinalize());
144 return 0;
145 }
146
147 /* ------------------------------------------------------------------ */
148 /*
149 FormFunction - Evaluates the function and corresponding gradient.
150
151 Input Parameters:
152 tao - the Tao context
153 X - the input vector
154 ptr - optional user-defined context, as set by TaoSetObjectiveAndGradient()
155
156 Output Parameters:
157 f - the newly evaluated function
158 */
FormFunction(Tao tao,Vec P,PetscReal * f,PetscCtx ctx0)159 PetscErrorCode FormFunction(Tao tao, Vec P, PetscReal *f, PetscCtx ctx0)
160 {
161 AppCtx *ctx = (AppCtx *)ctx0;
162 TS ts, quadts;
163 Vec U; /* solution will be stored here */
164 Mat A; /* Jacobian matrix */
165 PetscInt n = 2;
166 PetscReal ftime;
167 PetscInt steps;
168 PetscScalar *u;
169 const PetscScalar *x_ptr, *qx_ptr;
170 Vec q;
171 PetscInt direction[2];
172 PetscBool terminate[2];
173
174 PetscFunctionBeginUser;
175 PetscCall(VecGetArrayRead(P, &x_ptr));
176 ctx->Pm = x_ptr[0];
177 PetscCall(VecRestoreArrayRead(P, &x_ptr));
178 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
179 Create necessary matrix and vectors
180 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
181 PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
182 PetscCall(MatSetSizes(A, n, n, PETSC_DETERMINE, PETSC_DETERMINE));
183 PetscCall(MatSetType(A, MATDENSE));
184 PetscCall(MatSetFromOptions(A));
185 PetscCall(MatSetUp(A));
186
187 PetscCall(MatCreateVecs(A, &U, NULL));
188
189 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
190 Create timestepping solver context
191 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
192 PetscCall(TSCreate(PETSC_COMM_WORLD, &ts));
193 PetscCall(TSSetProblemType(ts, TS_NONLINEAR));
194 PetscCall(TSSetType(ts, TSCN));
195 PetscCall(TSSetIFunction(ts, NULL, (TSIFunctionFn *)IFunction, ctx));
196 PetscCall(TSSetIJacobian(ts, A, A, (TSIJacobianFn *)IJacobian, ctx));
197
198 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
199 Set initial conditions
200 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
201 PetscCall(VecGetArray(U, &u));
202 u[0] = PetscAsinScalar(ctx->Pm / ctx->Pmax);
203 u[1] = 1.0;
204 PetscCall(VecRestoreArray(U, &u));
205 PetscCall(TSSetSolution(ts, U));
206
207 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
208 Set solver options
209 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
210 PetscCall(TSSetMaxTime(ts, 1.0));
211 PetscCall(TSSetExactFinalTime(ts, TS_EXACTFINALTIME_MATCHSTEP));
212 PetscCall(TSSetTimeStep(ts, 0.03125));
213 PetscCall(TSCreateQuadratureTS(ts, PETSC_TRUE, &quadts));
214 PetscCall(TSGetSolution(quadts, &q));
215 PetscCall(VecSet(q, 0.0));
216 PetscCall(TSSetRHSFunction(quadts, NULL, (TSRHSFunctionFn *)CostIntegrand, ctx));
217 PetscCall(TSSetFromOptions(ts));
218
219 direction[0] = direction[1] = 1;
220 terminate[0] = terminate[1] = PETSC_FALSE;
221
222 PetscCall(TSSetEventHandler(ts, 2, direction, terminate, EventFunction, PostEventFunction, (void *)ctx));
223
224 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
225 Solve nonlinear system
226 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
227 PetscCall(TSSolve(ts, U));
228
229 PetscCall(TSGetSolveTime(ts, &ftime));
230 PetscCall(TSGetStepNumber(ts, &steps));
231 PetscCall(VecGetArrayRead(q, &qx_ptr));
232 *f = -ctx->Pm + qx_ptr[0];
233 PetscCall(VecRestoreArrayRead(q, &qx_ptr));
234
235 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
236 Free work space. All PETSc objects should be destroyed when they are no longer needed.
237 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
238 PetscCall(MatDestroy(&A));
239 PetscCall(VecDestroy(&U));
240 PetscCall(TSDestroy(&ts));
241 PetscFunctionReturn(PETSC_SUCCESS);
242 }
243
244 /*TEST
245
246 build:
247 requires: !complex !single
248
249 test:
250 args: -ts_type cn -pc_type lu -tao_monitor -tao_gatol 1e-3
251
252 TEST*/
253