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 CHKERRQ(TaoGetSolutionStatus(tao,&iterate,&f,&gnorm,&cnorm,&xdiff,&reason)); 34 CHKERRQ(TaoGetSolution(tao,&X)); 35 CHKERRQ(TaoGetGradient(tao,&G,NULL,NULL)); 36 CHKERRQ(VecGetArrayRead(X,&x)); 37 CHKERRQ(VecGetArrayRead(G,&g)); 38 fp = fopen("ex3opt_fd_conv.out","a"); 39 CHKERRQ(PetscFPrintf(PETSC_COMM_WORLD,fp,"%d %g %.12lf %.12lf\n",iterate,gnorm,x[0],g[0])); 40 CHKERRQ(VecRestoreArrayRead(X,&x)); 41 CHKERRQ(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 PetscErrorCode ierr; 51 PetscMPIInt size; 52 AppCtx ctx; 53 Vec lowerb,upperb; 54 Tao tao; 55 KSP ksp; 56 PC pc; 57 PetscBool printtofile; 58 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 59 Initialize program 60 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 61 ierr = PetscInitialize(&argc,&argv,NULL,help);if (ierr) return ierr; 62 PetscFunctionBeginUser; 63 CHKERRMPI(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 ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");CHKERRQ(ierr); 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 CHKERRQ(PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL)); 78 ctx.D = 5.0; 79 CHKERRQ(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 CHKERRQ(PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL)); 86 ctx.Pm = 1.06; 87 CHKERRQ(PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL)); 88 ctx.tf = 0.1; 89 ctx.tcl = 0.2; 90 CHKERRQ(PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL)); 91 CHKERRQ(PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL)); 92 printtofile = PETSC_FALSE; 93 CHKERRQ(PetscOptionsBool("-printtofile","Print convergence results to file","",printtofile,&printtofile,NULL)); 94 } 95 ierr = PetscOptionsEnd();CHKERRQ(ierr); 96 97 /* Create TAO solver and set desired solution method */ 98 CHKERRQ(TaoCreate(PETSC_COMM_WORLD,&tao)); 99 CHKERRQ(TaoSetType(tao,TAOBLMVM)); 100 if (printtofile) { 101 CHKERRQ(TaoSetMonitor(tao,(PetscErrorCode (*)(Tao, void*))monitor,(void *)&ctx,PETSC_NULL)); 102 } 103 CHKERRQ(TaoSetMaximumIterations(tao,30)); 104 /* 105 Optimization starts 106 */ 107 /* Set initial solution guess */ 108 CHKERRQ(VecCreateSeq(PETSC_COMM_WORLD,1,&p)); 109 CHKERRQ(VecGetArray(p,&x_ptr)); 110 x_ptr[0] = ctx.Pm; 111 CHKERRQ(VecRestoreArray(p,&x_ptr)); 112 113 CHKERRQ(TaoSetSolution(tao,p)); 114 /* Set routine for function and gradient evaluation */ 115 CHKERRQ(TaoSetObjective(tao,FormFunction,(void *)&ctx)); 116 CHKERRQ(TaoSetGradient(tao,NULL,TaoDefaultComputeGradient,(void *)&ctx)); 117 118 /* Set bounds for the optimization */ 119 CHKERRQ(VecDuplicate(p,&lowerb)); 120 CHKERRQ(VecDuplicate(p,&upperb)); 121 CHKERRQ(VecGetArray(lowerb,&x_ptr)); 122 x_ptr[0] = 0.; 123 CHKERRQ(VecRestoreArray(lowerb,&x_ptr)); 124 CHKERRQ(VecGetArray(upperb,&x_ptr)); 125 x_ptr[0] = 1.1; 126 CHKERRQ(VecRestoreArray(upperb,&x_ptr)); 127 CHKERRQ(TaoSetVariableBounds(tao,lowerb,upperb)); 128 129 /* Check for any TAO command line options */ 130 CHKERRQ(TaoSetFromOptions(tao)); 131 CHKERRQ(TaoGetKSP(tao,&ksp)); 132 if (ksp) { 133 CHKERRQ(KSPGetPC(ksp,&pc)); 134 CHKERRQ(PCSetType(pc,PCNONE)); 135 } 136 137 /* SOLVE THE APPLICATION */ 138 CHKERRQ(TaoSolve(tao)); 139 140 CHKERRQ(VecView(p,PETSC_VIEWER_STDOUT_WORLD)); 141 142 /* Free TAO data structures */ 143 CHKERRQ(TaoDestroy(&tao)); 144 CHKERRQ(VecDestroy(&p)); 145 CHKERRQ(VecDestroy(&lowerb)); 146 CHKERRQ(VecDestroy(&upperb)); 147 ierr = PetscFinalize(); 148 return ierr; 149 } 150 151 /* ------------------------------------------------------------------ */ 152 /* 153 FormFunction - Evaluates the function and corresponding gradient. 154 155 Input Parameters: 156 tao - the Tao context 157 X - the input vector 158 ptr - optional user-defined context, as set by TaoSetObjectiveAndGradient() 159 160 Output Parameters: 161 f - the newly evaluated function 162 */ 163 PetscErrorCode FormFunction(Tao tao,Vec P,PetscReal *f,void *ctx0) 164 { 165 AppCtx *ctx = (AppCtx*)ctx0; 166 TS ts,quadts; 167 Vec U; /* solution will be stored here */ 168 Mat A; /* Jacobian matrix */ 169 PetscInt n = 2; 170 PetscReal ftime; 171 PetscInt steps; 172 PetscScalar *u; 173 const PetscScalar *x_ptr,*qx_ptr; 174 Vec q; 175 PetscInt direction[2]; 176 PetscBool terminate[2]; 177 178 CHKERRQ(VecGetArrayRead(P,&x_ptr)); 179 ctx->Pm = x_ptr[0]; 180 CHKERRQ(VecRestoreArrayRead(P,&x_ptr)); 181 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 182 Create necessary matrix and vectors 183 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 184 CHKERRQ(MatCreate(PETSC_COMM_WORLD,&A)); 185 CHKERRQ(MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE)); 186 CHKERRQ(MatSetType(A,MATDENSE)); 187 CHKERRQ(MatSetFromOptions(A)); 188 CHKERRQ(MatSetUp(A)); 189 190 CHKERRQ(MatCreateVecs(A,&U,NULL)); 191 192 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 193 Create timestepping solver context 194 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 195 CHKERRQ(TSCreate(PETSC_COMM_WORLD,&ts)); 196 CHKERRQ(TSSetProblemType(ts,TS_NONLINEAR)); 197 CHKERRQ(TSSetType(ts,TSCN)); 198 CHKERRQ(TSSetIFunction(ts,NULL,(TSIFunction) IFunction,ctx)); 199 CHKERRQ(TSSetIJacobian(ts,A,A,(TSIJacobian)IJacobian,ctx)); 200 201 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 202 Set initial conditions 203 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 204 CHKERRQ(VecGetArray(U,&u)); 205 u[0] = PetscAsinScalar(ctx->Pm/ctx->Pmax); 206 u[1] = 1.0; 207 CHKERRQ(VecRestoreArray(U,&u)); 208 CHKERRQ(TSSetSolution(ts,U)); 209 210 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 211 Set solver options 212 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 213 CHKERRQ(TSSetMaxTime(ts,1.0)); 214 CHKERRQ(TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP)); 215 CHKERRQ(TSSetTimeStep(ts,0.03125)); 216 CHKERRQ(TSCreateQuadratureTS(ts,PETSC_TRUE,&quadts)); 217 CHKERRQ(TSGetSolution(quadts,&q)); 218 CHKERRQ(VecSet(q,0.0)); 219 CHKERRQ(TSSetRHSFunction(quadts,NULL,(TSRHSFunction)CostIntegrand,ctx)); 220 CHKERRQ(TSSetFromOptions(ts)); 221 222 direction[0] = direction[1] = 1; 223 terminate[0] = terminate[1] = PETSC_FALSE; 224 225 CHKERRQ(TSSetEventHandler(ts,2,direction,terminate,EventFunction,PostEventFunction,(void*)ctx)); 226 227 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 228 Solve nonlinear system 229 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 230 CHKERRQ(TSSolve(ts,U)); 231 232 CHKERRQ(TSGetSolveTime(ts,&ftime)); 233 CHKERRQ(TSGetStepNumber(ts,&steps)); 234 CHKERRQ(VecGetArrayRead(q,&qx_ptr)); 235 *f = -ctx->Pm + qx_ptr[0]; 236 CHKERRQ(VecRestoreArrayRead(q,&qx_ptr)); 237 238 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 239 Free work space. All PETSc objects should be destroyed when they are no longer needed. 240 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 241 CHKERRQ(MatDestroy(&A)); 242 CHKERRQ(VecDestroy(&U)); 243 CHKERRQ(TSDestroy(&ts)); 244 return 0; 245 } 246 247 /*TEST 248 249 build: 250 requires: !complex !single 251 252 test: 253 args: -ts_type cn -pc_type lu -tao_monitor -tao_gatol 1e-3 254 255 TEST*/ 256