1 2 static char help[] = "Finds optimal parameter P_m for the generator system while maintaining generator stability.\n"; 3 4 /*F 5 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} 10 11 F*/ 12 13 /* 14 Solve the same optimization problem as in ex3opt.c. 15 Use finite difference to approximate the gradients. 16 */ 17 #include <petsctao.h> 18 #include <petscts.h> 19 #include "ex3.h" 20 21 PetscErrorCode FormFunction(Tao, Vec, PetscReal *, void *); 22 23 PetscErrorCode monitor(Tao tao, AppCtx *ctx) 24 { 25 FILE *fp; 26 PetscInt iterate; 27 PetscReal f, gnorm, cnorm, xdiff; 28 Vec X, G; 29 const PetscScalar *x, *g; 30 TaoConvergedReason reason; 31 32 PetscFunctionBeginUser; 33 PetscCall(TaoGetSolutionStatus(tao, &iterate, &f, &gnorm, &cnorm, &xdiff, &reason)); 34 PetscCall(TaoGetSolution(tao, &X)); 35 PetscCall(TaoGetGradient(tao, &G, NULL, NULL)); 36 PetscCall(VecGetArrayRead(X, &x)); 37 PetscCall(VecGetArrayRead(G, &g)); 38 fp = fopen("ex3opt_fd_conv.out", "a"); 39 PetscCall(PetscFPrintf(PETSC_COMM_WORLD, fp, "%" PetscInt_FMT " %g %.12lf %.12lf\n", iterate, (double)gnorm, (double)PetscRealPart(x[0]), (double)PetscRealPart(g[0]))); 40 PetscCall(VecRestoreArrayRead(X, &x)); 41 PetscCall(VecRestoreArrayRead(G, &g)); 42 fclose(fp); 43 PetscFunctionReturn(PETSC_SUCCESS); 44 } 45 46 int main(int argc, char **argv) 47 { 48 Vec p; 49 PetscScalar *x_ptr; 50 PetscMPIInt size; 51 AppCtx ctx; 52 Vec lowerb, upperb; 53 Tao tao; 54 KSP ksp; 55 PC pc; 56 PetscBool printtofile; 57 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 58 Initialize program 59 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 60 PetscFunctionBeginUser; 61 PetscCall(PetscInitialize(&argc, &argv, NULL, help)); 62 PetscFunctionBeginUser; 63 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size)); 64 PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only!"); 65 66 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 67 Set runtime options 68 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 69 PetscOptionsBegin(PETSC_COMM_WORLD, NULL, "Swing equation options", ""); 70 { 71 ctx.beta = 2; 72 ctx.c = 10000.0; 73 ctx.u_s = 1.0; 74 ctx.omega_s = 1.0; 75 ctx.omega_b = 120.0 * PETSC_PI; 76 ctx.H = 5.0; 77 PetscCall(PetscOptionsScalar("-Inertia", "", "", ctx.H, &ctx.H, NULL)); 78 ctx.D = 5.0; 79 PetscCall(PetscOptionsScalar("-D", "", "", ctx.D, &ctx.D, NULL)); 80 ctx.E = 1.1378; 81 ctx.V = 1.0; 82 ctx.X = 0.545; 83 ctx.Pmax = ctx.E * ctx.V / ctx.X; 84 ctx.Pmax_ini = ctx.Pmax; 85 PetscCall(PetscOptionsScalar("-Pmax", "", "", ctx.Pmax, &ctx.Pmax, NULL)); 86 ctx.Pm = 1.06; 87 PetscCall(PetscOptionsScalar("-Pm", "", "", ctx.Pm, &ctx.Pm, NULL)); 88 ctx.tf = 0.1; 89 ctx.tcl = 0.2; 90 PetscCall(PetscOptionsReal("-tf", "Time to start fault", "", ctx.tf, &ctx.tf, NULL)); 91 PetscCall(PetscOptionsReal("-tcl", "Time to end fault", "", ctx.tcl, &ctx.tcl, NULL)); 92 printtofile = PETSC_FALSE; 93 PetscCall(PetscOptionsBool("-printtofile", "Print convergence results to file", "", printtofile, &printtofile, NULL)); 94 } 95 PetscOptionsEnd(); 96 97 /* Create TAO solver and set desired solution method */ 98 PetscCall(TaoCreate(PETSC_COMM_WORLD, &tao)); 99 PetscCall(TaoSetType(tao, TAOBLMVM)); 100 if (printtofile) PetscCall(TaoSetMonitor(tao, (PetscErrorCode(*)(Tao, void *))monitor, (void *)&ctx, NULL)); 101 PetscCall(TaoSetMaximumIterations(tao, 30)); 102 /* 103 Optimization starts 104 */ 105 /* Set initial solution guess */ 106 PetscCall(VecCreateSeq(PETSC_COMM_WORLD, 1, &p)); 107 PetscCall(VecGetArray(p, &x_ptr)); 108 x_ptr[0] = ctx.Pm; 109 PetscCall(VecRestoreArray(p, &x_ptr)); 110 111 PetscCall(TaoSetSolution(tao, p)); 112 /* Set routine for function and gradient evaluation */ 113 PetscCall(TaoSetObjective(tao, FormFunction, (void *)&ctx)); 114 PetscCall(TaoSetGradient(tao, NULL, TaoDefaultComputeGradient, (void *)&ctx)); 115 116 /* Set bounds for the optimization */ 117 PetscCall(VecDuplicate(p, &lowerb)); 118 PetscCall(VecDuplicate(p, &upperb)); 119 PetscCall(VecGetArray(lowerb, &x_ptr)); 120 x_ptr[0] = 0.; 121 PetscCall(VecRestoreArray(lowerb, &x_ptr)); 122 PetscCall(VecGetArray(upperb, &x_ptr)); 123 x_ptr[0] = 1.1; 124 PetscCall(VecRestoreArray(upperb, &x_ptr)); 125 PetscCall(TaoSetVariableBounds(tao, lowerb, upperb)); 126 127 /* Check for any TAO command line options */ 128 PetscCall(TaoSetFromOptions(tao)); 129 PetscCall(TaoGetKSP(tao, &ksp)); 130 if (ksp) { 131 PetscCall(KSPGetPC(ksp, &pc)); 132 PetscCall(PCSetType(pc, PCNONE)); 133 } 134 135 /* SOLVE THE APPLICATION */ 136 PetscCall(TaoSolve(tao)); 137 138 PetscCall(VecView(p, PETSC_VIEWER_STDOUT_WORLD)); 139 140 /* Free TAO data structures */ 141 PetscCall(TaoDestroy(&tao)); 142 PetscCall(VecDestroy(&p)); 143 PetscCall(VecDestroy(&lowerb)); 144 PetscCall(VecDestroy(&upperb)); 145 PetscCall(PetscFinalize()); 146 return 0; 147 } 148 149 /* ------------------------------------------------------------------ */ 150 /* 151 FormFunction - Evaluates the function and corresponding gradient. 152 153 Input Parameters: 154 tao - the Tao context 155 X - the input vector 156 ptr - optional user-defined context, as set by TaoSetObjectiveAndGradient() 157 158 Output Parameters: 159 f - the newly evaluated function 160 */ 161 PetscErrorCode FormFunction(Tao tao, Vec P, PetscReal *f, void *ctx0) 162 { 163 AppCtx *ctx = (AppCtx *)ctx0; 164 TS ts, quadts; 165 Vec U; /* solution will be stored here */ 166 Mat A; /* Jacobian matrix */ 167 PetscInt n = 2; 168 PetscReal ftime; 169 PetscInt steps; 170 PetscScalar *u; 171 const PetscScalar *x_ptr, *qx_ptr; 172 Vec q; 173 PetscInt direction[2]; 174 PetscBool terminate[2]; 175 176 PetscFunctionBeginUser; 177 PetscCall(VecGetArrayRead(P, &x_ptr)); 178 ctx->Pm = x_ptr[0]; 179 PetscCall(VecRestoreArrayRead(P, &x_ptr)); 180 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 181 Create necessary matrix and vectors 182 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 183 PetscCall(MatCreate(PETSC_COMM_WORLD, &A)); 184 PetscCall(MatSetSizes(A, n, n, PETSC_DETERMINE, PETSC_DETERMINE)); 185 PetscCall(MatSetType(A, MATDENSE)); 186 PetscCall(MatSetFromOptions(A)); 187 PetscCall(MatSetUp(A)); 188 189 PetscCall(MatCreateVecs(A, &U, NULL)); 190 191 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 192 Create timestepping solver context 193 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 194 PetscCall(TSCreate(PETSC_COMM_WORLD, &ts)); 195 PetscCall(TSSetProblemType(ts, TS_NONLINEAR)); 196 PetscCall(TSSetType(ts, TSCN)); 197 PetscCall(TSSetIFunction(ts, NULL, (TSIFunction)IFunction, ctx)); 198 PetscCall(TSSetIJacobian(ts, A, A, (TSIJacobian)IJacobian, ctx)); 199 200 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 201 Set initial conditions 202 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 203 PetscCall(VecGetArray(U, &u)); 204 u[0] = PetscAsinScalar(ctx->Pm / ctx->Pmax); 205 u[1] = 1.0; 206 PetscCall(VecRestoreArray(U, &u)); 207 PetscCall(TSSetSolution(ts, U)); 208 209 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 210 Set solver options 211 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 212 PetscCall(TSSetMaxTime(ts, 1.0)); 213 PetscCall(TSSetExactFinalTime(ts, TS_EXACTFINALTIME_MATCHSTEP)); 214 PetscCall(TSSetTimeStep(ts, 0.03125)); 215 PetscCall(TSCreateQuadratureTS(ts, PETSC_TRUE, &quadts)); 216 PetscCall(TSGetSolution(quadts, &q)); 217 PetscCall(VecSet(q, 0.0)); 218 PetscCall(TSSetRHSFunction(quadts, NULL, (TSRHSFunction)CostIntegrand, ctx)); 219 PetscCall(TSSetFromOptions(ts)); 220 221 direction[0] = direction[1] = 1; 222 terminate[0] = terminate[1] = PETSC_FALSE; 223 224 PetscCall(TSSetEventHandler(ts, 2, direction, terminate, EventFunction, PostEventFunction, (void *)ctx)); 225 226 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 227 Solve nonlinear system 228 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 229 PetscCall(TSSolve(ts, U)); 230 231 PetscCall(TSGetSolveTime(ts, &ftime)); 232 PetscCall(TSGetStepNumber(ts, &steps)); 233 PetscCall(VecGetArrayRead(q, &qx_ptr)); 234 *f = -ctx->Pm + qx_ptr[0]; 235 PetscCall(VecRestoreArrayRead(q, &qx_ptr)); 236 237 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 238 Free work space. All PETSc objects should be destroyed when they are no longer needed. 239 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 240 PetscCall(MatDestroy(&A)); 241 PetscCall(VecDestroy(&U)); 242 PetscCall(TSDestroy(&ts)); 243 PetscFunctionReturn(PETSC_SUCCESS); 244 } 245 246 /*TEST 247 248 build: 249 requires: !complex !single 250 251 test: 252 args: -ts_type cn -pc_type lu -tao_monitor -tao_gatol 1e-3 253 254 TEST*/ 255