1 2 static char help[] = "Basic equation for generator stability analysis.\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 12 13 Ensemble of initial conditions 14 ./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 15 16 Fault at .1 seconds 17 ./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 18 19 Initial conditions same as when fault is ended 20 ./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 21 22 23 F*/ 24 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 35 36 T*/ 37 38 #include <petscts.h> 39 #include "ex3.h" 40 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 */ 46 PetscErrorCode ierr; 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]; 55 56 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 57 Initialize program 58 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 59 ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr; 60 ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr); 61 if (size > 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Only for sequential runs"); 62 63 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 64 Create necessary matrix and vectors 65 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 66 ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); 67 ierr = MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); 68 ierr = MatSetType(A,MATDENSE);CHKERRQ(ierr); 69 ierr = MatSetFromOptions(A);CHKERRQ(ierr); 70 ierr = MatSetUp(A);CHKERRQ(ierr); 71 72 ierr = MatCreateVecs(A,&U,NULL);CHKERRQ(ierr); 73 74 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 75 Set runtime options 76 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 77 ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");CHKERRQ(ierr); 78 { 79 ctx.omega_b = 1.0; 80 ctx.omega_s = 2.0*PETSC_PI*60.0; 81 ctx.H = 5.0; 82 ierr = PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL);CHKERRQ(ierr); 83 ctx.D = 5.0; 84 ierr = PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL);CHKERRQ(ierr); 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 ierr = PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL);CHKERRQ(ierr); 91 ctx.Pm = 0.9; 92 ierr = PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL);CHKERRQ(ierr); 93 ctx.tf = 1.0; 94 ctx.tcl = 1.05; 95 ierr = PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL);CHKERRQ(ierr); 96 ierr = PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL);CHKERRQ(ierr); 97 ierr = PetscOptionsBool("-ensemble","Run ensemble of different initial conditions","",ensemble,&ensemble,NULL);CHKERRQ(ierr); 98 if (ensemble) { 99 ctx.tf = -1; 100 ctx.tcl = -1; 101 } 102 103 ierr = VecGetArray(U,&u);CHKERRQ(ierr); 104 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 105 u[1] = 1.0; 106 ierr = PetscOptionsRealArray("-u","Initial solution","",u,&n,&flg1);CHKERRQ(ierr); 107 n = 2; 108 ierr = PetscOptionsRealArray("-du","Perturbation in initial solution","",du,&n,&flg2);CHKERRQ(ierr); 109 u[0] += du[0]; 110 u[1] += du[1]; 111 ierr = VecRestoreArray(U,&u);CHKERRQ(ierr); 112 if (flg1 || flg2) { 113 ctx.tf = -1; 114 ctx.tcl = -1; 115 } 116 } 117 ierr = PetscOptionsEnd();CHKERRQ(ierr); 118 119 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 120 Create timestepping solver context 121 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 122 ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr); 123 ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr); 124 ierr = TSSetType(ts,TSTHETA);CHKERRQ(ierr); 125 ierr = TSSetEquationType(ts,TS_EQ_IMPLICIT);CHKERRQ(ierr); 126 ierr = TSARKIMEXSetFullyImplicit(ts,PETSC_TRUE);CHKERRQ(ierr); 127 ierr = TSSetIFunction(ts,NULL,(TSIFunction) IFunction,&ctx);CHKERRQ(ierr); 128 ierr = TSSetIJacobian(ts,A,A,(TSIJacobian)IJacobian,&ctx);CHKERRQ(ierr); 129 130 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 131 Set initial conditions 132 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 133 ierr = TSSetSolution(ts,U);CHKERRQ(ierr); 134 135 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 136 Set solver options 137 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 138 ierr = TSSetMaxTime(ts,35.0);CHKERRQ(ierr); 139 ierr = TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP);CHKERRQ(ierr); 140 ierr = TSSetTimeStep(ts,.1);CHKERRQ(ierr); 141 ierr = TSSetFromOptions(ts);CHKERRQ(ierr); 142 143 direction[0] = direction[1] = 1; 144 terminate[0] = terminate[1] = PETSC_FALSE; 145 146 ierr = TSSetEventHandler(ts,2,direction,terminate,EventFunction,PostEventFunction,(void*)&ctx);CHKERRQ(ierr); 147 148 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 149 Solve nonlinear system 150 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 151 if (ensemble) { 152 for (du[1] = -2.5; du[1] <= .01; du[1] += .1) { 153 ierr = VecGetArray(U,&u);CHKERRQ(ierr); 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 ierr = VecRestoreArray(U,&u);CHKERRQ(ierr); 159 ierr = TSSetTimeStep(ts,.01);CHKERRQ(ierr); 160 ierr = TSSolve(ts,U);CHKERRQ(ierr); 161 } 162 } else { 163 ierr = TSSolve(ts,U);CHKERRQ(ierr); 164 } 165 ierr = VecView(U,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 166 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 167 Free work space. All PETSc objects should be destroyed when they are no longer needed. 168 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 169 ierr = MatDestroy(&A);CHKERRQ(ierr); 170 ierr = VecDestroy(&U);CHKERRQ(ierr); 171 ierr = TSDestroy(&ts);CHKERRQ(ierr); 172 ierr = PetscFinalize(); 173 return ierr; 174 } 175 176 177 /*TEST 178 179 build: 180 requires: !complex !single 181 182 test: 183 args: -nox 184 185 TEST*/ 186