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 Ensemble of initial conditions 12 ./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 13 14 Fault at .1 seconds 15 ./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 16 17 Initial conditions same as when fault is ended 18 ./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 19 20 F*/ 21 22 /* 23 Include "petscts.h" so that we can use TS solvers. Note that this 24 file automatically includes: 25 petscsys.h - base PETSc routines petscvec.h - vectors 26 petscmat.h - matrices 27 petscis.h - index sets petscksp.h - Krylov subspace methods 28 petscviewer.h - viewers petscpc.h - preconditioners 29 petscksp.h - linear solvers 30 */ 31 32 #include <petscts.h> 33 #include "ex3.h" 34 35 int main(int argc,char **argv) 36 { 37 TS ts; /* ODE integrator */ 38 Vec U; /* solution will be stored here */ 39 Mat A; /* Jacobian matrix */ 40 PetscErrorCode ierr; 41 PetscMPIInt size; 42 PetscInt n = 2; 43 AppCtx ctx; 44 PetscScalar *u; 45 PetscReal du[2] = {0.0,0.0}; 46 PetscBool ensemble = PETSC_FALSE,flg1,flg2; 47 PetscInt direction[2]; 48 PetscBool terminate[2]; 49 50 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 51 Initialize program 52 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 53 PetscCall(PetscInitialize(&argc,&argv,(char*)0,help)); 54 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size)); 55 PetscCheck(size == 1,PETSC_COMM_WORLD,PETSC_ERR_WRONG_MPI_SIZE,"Only for sequential runs"); 56 57 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 58 Create necessary matrix and vectors 59 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 60 PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); 61 PetscCall(MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE)); 62 PetscCall(MatSetType(A,MATDENSE)); 63 PetscCall(MatSetFromOptions(A)); 64 PetscCall(MatSetUp(A)); 65 66 PetscCall(MatCreateVecs(A,&U,NULL)); 67 68 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 69 Set runtime options 70 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 71 ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");PetscCall(ierr); 72 { 73 ctx.omega_b = 1.0; 74 ctx.omega_s = 2.0*PETSC_PI*60.0; 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 = 0.9; 86 PetscCall(PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL)); 87 ctx.tf = 1.0; 88 ctx.tcl = 1.05; 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 PetscCall(PetscOptionsBool("-ensemble","Run ensemble of different initial conditions","",ensemble,&ensemble,NULL)); 92 if (ensemble) { 93 ctx.tf = -1; 94 ctx.tcl = -1; 95 } 96 97 PetscCall(VecGetArray(U,&u)); 98 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 99 u[1] = 1.0; 100 PetscCall(PetscOptionsRealArray("-u","Initial solution","",u,&n,&flg1)); 101 n = 2; 102 PetscCall(PetscOptionsRealArray("-du","Perturbation in initial solution","",du,&n,&flg2)); 103 u[0] += du[0]; 104 u[1] += du[1]; 105 PetscCall(VecRestoreArray(U,&u)); 106 if (flg1 || flg2) { 107 ctx.tf = -1; 108 ctx.tcl = -1; 109 } 110 } 111 ierr = PetscOptionsEnd();PetscCall(ierr); 112 113 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 114 Create timestepping solver context 115 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 116 PetscCall(TSCreate(PETSC_COMM_WORLD,&ts)); 117 PetscCall(TSSetProblemType(ts,TS_NONLINEAR)); 118 PetscCall(TSSetType(ts,TSTHETA)); 119 PetscCall(TSSetEquationType(ts,TS_EQ_IMPLICIT)); 120 PetscCall(TSARKIMEXSetFullyImplicit(ts,PETSC_TRUE)); 121 PetscCall(TSSetIFunction(ts,NULL,(TSIFunction) IFunction,&ctx)); 122 PetscCall(TSSetIJacobian(ts,A,A,(TSIJacobian)IJacobian,&ctx)); 123 124 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 125 Set initial conditions 126 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 127 PetscCall(TSSetSolution(ts,U)); 128 129 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 130 Set solver options 131 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 132 PetscCall(TSSetMaxTime(ts,35.0)); 133 PetscCall(TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP)); 134 PetscCall(TSSetTimeStep(ts,.1)); 135 PetscCall(TSSetFromOptions(ts)); 136 137 direction[0] = direction[1] = 1; 138 terminate[0] = terminate[1] = PETSC_FALSE; 139 140 PetscCall(TSSetEventHandler(ts,2,direction,terminate,EventFunction,PostEventFunction,(void*)&ctx)); 141 142 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 143 Solve nonlinear system 144 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 145 if (ensemble) { 146 for (du[1] = -2.5; du[1] <= .01; du[1] += .1) { 147 PetscCall(VecGetArray(U,&u)); 148 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 149 u[1] = ctx.omega_s; 150 u[0] += du[0]; 151 u[1] += du[1]; 152 PetscCall(VecRestoreArray(U,&u)); 153 PetscCall(TSSetTimeStep(ts,.01)); 154 PetscCall(TSSolve(ts,U)); 155 } 156 } else { 157 PetscCall(TSSolve(ts,U)); 158 } 159 PetscCall(VecView(U,PETSC_VIEWER_STDOUT_WORLD)); 160 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 161 Free work space. All PETSc objects should be destroyed when they are no longer needed. 162 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 163 PetscCall(MatDestroy(&A)); 164 PetscCall(VecDestroy(&U)); 165 PetscCall(TSDestroy(&ts)); 166 PetscCall(PetscFinalize()); 167 return 0; 168 } 169 170 /*TEST 171 172 build: 173 requires: !complex !single 174 175 test: 176 args: -nox 177 178 TEST*/ 179