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(0); 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 PetscCall(PetscInitialize(&argc,&argv,NULL,help)); 61 PetscFunctionBeginUser; 62 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size)); 63 PetscCheck(size == 1,PETSC_COMM_WORLD,PETSC_ERR_WRONG_MPI_SIZE,"This is a uniprocessor example only!"); 64 65 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 66 Set runtime options 67 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 68 PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options",""); 69 { 70 ctx.beta = 2; 71 ctx.c = 10000.0; 72 ctx.u_s = 1.0; 73 ctx.omega_s = 1.0; 74 ctx.omega_b = 120.0*PETSC_PI; 75 ctx.H = 5.0; 76 PetscCall(PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL)); 77 ctx.D = 5.0; 78 PetscCall(PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL)); 79 ctx.E = 1.1378; 80 ctx.V = 1.0; 81 ctx.X = 0.545; 82 ctx.Pmax = ctx.E*ctx.V/ctx.X; 83 ctx.Pmax_ini = ctx.Pmax; 84 PetscCall(PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL)); 85 ctx.Pm = 1.06; 86 PetscCall(PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL)); 87 ctx.tf = 0.1; 88 ctx.tcl = 0.2; 89 PetscCall(PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL)); 90 PetscCall(PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL)); 91 printtofile = PETSC_FALSE; 92 PetscCall(PetscOptionsBool("-printtofile","Print convergence results to file","",printtofile,&printtofile,NULL)); 93 } 94 PetscOptionsEnd(); 95 96 /* Create TAO solver and set desired solution method */ 97 PetscCall(TaoCreate(PETSC_COMM_WORLD,&tao)); 98 PetscCall(TaoSetType(tao,TAOBLMVM)); 99 if (printtofile) { 100 PetscCall(TaoSetMonitor(tao,(PetscErrorCode (*)(Tao, void*))monitor,(void *)&ctx,PETSC_NULL)); 101 } 102 PetscCall(TaoSetMaximumIterations(tao,30)); 103 /* 104 Optimization starts 105 */ 106 /* Set initial solution guess */ 107 PetscCall(VecCreateSeq(PETSC_COMM_WORLD,1,&p)); 108 PetscCall(VecGetArray(p,&x_ptr)); 109 x_ptr[0] = ctx.Pm; 110 PetscCall(VecRestoreArray(p,&x_ptr)); 111 112 PetscCall(TaoSetSolution(tao,p)); 113 /* Set routine for function and gradient evaluation */ 114 PetscCall(TaoSetObjective(tao,FormFunction,(void *)&ctx)); 115 PetscCall(TaoSetGradient(tao,NULL,TaoDefaultComputeGradient,(void *)&ctx)); 116 117 /* Set bounds for the optimization */ 118 PetscCall(VecDuplicate(p,&lowerb)); 119 PetscCall(VecDuplicate(p,&upperb)); 120 PetscCall(VecGetArray(lowerb,&x_ptr)); 121 x_ptr[0] = 0.; 122 PetscCall(VecRestoreArray(lowerb,&x_ptr)); 123 PetscCall(VecGetArray(upperb,&x_ptr)); 124 x_ptr[0] = 1.1; 125 PetscCall(VecRestoreArray(upperb,&x_ptr)); 126 PetscCall(TaoSetVariableBounds(tao,lowerb,upperb)); 127 128 /* Check for any TAO command line options */ 129 PetscCall(TaoSetFromOptions(tao)); 130 PetscCall(TaoGetKSP(tao,&ksp)); 131 if (ksp) { 132 PetscCall(KSPGetPC(ksp,&pc)); 133 PetscCall(PCSetType(pc,PCNONE)); 134 } 135 136 /* SOLVE THE APPLICATION */ 137 PetscCall(TaoSolve(tao)); 138 139 PetscCall(VecView(p,PETSC_VIEWER_STDOUT_WORLD)); 140 141 /* Free TAO data structures */ 142 PetscCall(TaoDestroy(&tao)); 143 PetscCall(VecDestroy(&p)); 144 PetscCall(VecDestroy(&lowerb)); 145 PetscCall(VecDestroy(&upperb)); 146 PetscCall(PetscFinalize()); 147 return 0; 148 } 149 150 /* ------------------------------------------------------------------ */ 151 /* 152 FormFunction - Evaluates the function and corresponding gradient. 153 154 Input Parameters: 155 tao - the Tao context 156 X - the input vector 157 ptr - optional user-defined context, as set by TaoSetObjectiveAndGradient() 158 159 Output Parameters: 160 f - the newly evaluated function 161 */ 162 PetscErrorCode FormFunction(Tao tao,Vec P,PetscReal *f,void *ctx0) 163 { 164 AppCtx *ctx = (AppCtx*)ctx0; 165 TS ts,quadts; 166 Vec U; /* solution will be stored here */ 167 Mat A; /* Jacobian matrix */ 168 PetscInt n = 2; 169 PetscReal ftime; 170 PetscInt steps; 171 PetscScalar *u; 172 const PetscScalar *x_ptr,*qx_ptr; 173 Vec q; 174 PetscInt direction[2]; 175 PetscBool terminate[2]; 176 177 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 return 0; 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