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 PetscMPIInt size; 41 PetscInt n = 2; 42 AppCtx ctx; 43 PetscScalar *u; 44 PetscReal du[2] = {0.0,0.0}; 45 PetscBool ensemble = PETSC_FALSE,flg1,flg2; 46 PetscInt direction[2]; 47 PetscBool terminate[2]; 48 49 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 50 Initialize program 51 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 52 PetscCall(PetscInitialize(&argc,&argv,(char*)0,help)); 53 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size)); 54 PetscCheck(size == 1,PETSC_COMM_WORLD,PETSC_ERR_WRONG_MPI_SIZE,"Only for sequential runs"); 55 56 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 57 Create necessary matrix and vectors 58 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 59 PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); 60 PetscCall(MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE)); 61 PetscCall(MatSetType(A,MATDENSE)); 62 PetscCall(MatSetFromOptions(A)); 63 PetscCall(MatSetUp(A)); 64 65 PetscCall(MatCreateVecs(A,&U,NULL)); 66 67 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 68 Set runtime options 69 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 70 PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options",""); 71 { 72 ctx.omega_b = 1.0; 73 ctx.omega_s = 2.0*PETSC_PI*60.0; 74 ctx.H = 5.0; 75 PetscCall(PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL)); 76 ctx.D = 5.0; 77 PetscCall(PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL)); 78 ctx.E = 1.1378; 79 ctx.V = 1.0; 80 ctx.X = 0.545; 81 ctx.Pmax = ctx.E*ctx.V/ctx.X; 82 ctx.Pmax_ini = ctx.Pmax; 83 PetscCall(PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL)); 84 ctx.Pm = 0.9; 85 PetscCall(PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL)); 86 ctx.tf = 1.0; 87 ctx.tcl = 1.05; 88 PetscCall(PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL)); 89 PetscCall(PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL)); 90 PetscCall(PetscOptionsBool("-ensemble","Run ensemble of different initial conditions","",ensemble,&ensemble,NULL)); 91 if (ensemble) { 92 ctx.tf = -1; 93 ctx.tcl = -1; 94 } 95 96 PetscCall(VecGetArray(U,&u)); 97 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 98 u[1] = 1.0; 99 PetscCall(PetscOptionsRealArray("-u","Initial solution","",u,&n,&flg1)); 100 n = 2; 101 PetscCall(PetscOptionsRealArray("-du","Perturbation in initial solution","",du,&n,&flg2)); 102 u[0] += du[0]; 103 u[1] += du[1]; 104 PetscCall(VecRestoreArray(U,&u)); 105 if (flg1 || flg2) { 106 ctx.tf = -1; 107 ctx.tcl = -1; 108 } 109 } 110 PetscOptionsEnd(); 111 112 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 113 Create timestepping solver context 114 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 115 PetscCall(TSCreate(PETSC_COMM_WORLD,&ts)); 116 PetscCall(TSSetProblemType(ts,TS_NONLINEAR)); 117 PetscCall(TSSetType(ts,TSTHETA)); 118 PetscCall(TSSetEquationType(ts,TS_EQ_IMPLICIT)); 119 PetscCall(TSARKIMEXSetFullyImplicit(ts,PETSC_TRUE)); 120 PetscCall(TSSetIFunction(ts,NULL,(TSIFunction) IFunction,&ctx)); 121 PetscCall(TSSetIJacobian(ts,A,A,(TSIJacobian)IJacobian,&ctx)); 122 123 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 124 Set initial conditions 125 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 126 PetscCall(TSSetSolution(ts,U)); 127 128 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 129 Set solver options 130 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 131 PetscCall(TSSetMaxTime(ts,35.0)); 132 PetscCall(TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP)); 133 PetscCall(TSSetTimeStep(ts,.1)); 134 PetscCall(TSSetFromOptions(ts)); 135 136 direction[0] = direction[1] = 1; 137 terminate[0] = terminate[1] = PETSC_FALSE; 138 139 PetscCall(TSSetEventHandler(ts,2,direction,terminate,EventFunction,PostEventFunction,(void*)&ctx)); 140 141 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 142 Solve nonlinear system 143 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 144 if (ensemble) { 145 for (du[1] = -2.5; du[1] <= .01; du[1] += .1) { 146 PetscCall(VecGetArray(U,&u)); 147 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 148 u[1] = ctx.omega_s; 149 u[0] += du[0]; 150 u[1] += du[1]; 151 PetscCall(VecRestoreArray(U,&u)); 152 PetscCall(TSSetTimeStep(ts,.01)); 153 PetscCall(TSSolve(ts,U)); 154 } 155 } else { 156 PetscCall(TSSolve(ts,U)); 157 } 158 PetscCall(VecView(U,PETSC_VIEWER_STDOUT_WORLD)); 159 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 160 Free work space. All PETSc objects should be destroyed when they are no longer needed. 161 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 162 PetscCall(MatDestroy(&A)); 163 PetscCall(VecDestroy(&U)); 164 PetscCall(TSDestroy(&ts)); 165 PetscCall(PetscFinalize()); 166 return 0; 167 } 168 169 /*TEST 170 171 build: 172 requires: !complex !single 173 174 test: 175 args: -nox 176 177 TEST*/ 178