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 /*T 32 33 T*/ 34 35 #include <petscts.h> 36 #include "ex3.h" 37 38 int main(int argc,char **argv) 39 { 40 TS ts; /* ODE integrator */ 41 Vec U; /* solution will be stored here */ 42 Mat A; /* Jacobian matrix */ 43 PetscErrorCode ierr; 44 PetscMPIInt size; 45 PetscInt n = 2; 46 AppCtx ctx; 47 PetscScalar *u; 48 PetscReal du[2] = {0.0,0.0}; 49 PetscBool ensemble = PETSC_FALSE,flg1,flg2; 50 PetscInt direction[2]; 51 PetscBool terminate[2]; 52 53 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 54 Initialize program 55 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 56 ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr; 57 ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRMPI(ierr); 58 if (size > 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Only for sequential runs"); 59 60 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 61 Create necessary matrix and vectors 62 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 63 ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); 64 ierr = MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); 65 ierr = MatSetType(A,MATDENSE);CHKERRQ(ierr); 66 ierr = MatSetFromOptions(A);CHKERRQ(ierr); 67 ierr = MatSetUp(A);CHKERRQ(ierr); 68 69 ierr = MatCreateVecs(A,&U,NULL);CHKERRQ(ierr); 70 71 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 72 Set runtime options 73 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 74 ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");CHKERRQ(ierr); 75 { 76 ctx.omega_b = 1.0; 77 ctx.omega_s = 2.0*PETSC_PI*60.0; 78 ctx.H = 5.0; 79 ierr = PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL);CHKERRQ(ierr); 80 ctx.D = 5.0; 81 ierr = PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL);CHKERRQ(ierr); 82 ctx.E = 1.1378; 83 ctx.V = 1.0; 84 ctx.X = 0.545; 85 ctx.Pmax = ctx.E*ctx.V/ctx.X; 86 ctx.Pmax_ini = ctx.Pmax; 87 ierr = PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL);CHKERRQ(ierr); 88 ctx.Pm = 0.9; 89 ierr = PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL);CHKERRQ(ierr); 90 ctx.tf = 1.0; 91 ctx.tcl = 1.05; 92 ierr = PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL);CHKERRQ(ierr); 93 ierr = PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL);CHKERRQ(ierr); 94 ierr = PetscOptionsBool("-ensemble","Run ensemble of different initial conditions","",ensemble,&ensemble,NULL);CHKERRQ(ierr); 95 if (ensemble) { 96 ctx.tf = -1; 97 ctx.tcl = -1; 98 } 99 100 ierr = VecGetArray(U,&u);CHKERRQ(ierr); 101 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 102 u[1] = 1.0; 103 ierr = PetscOptionsRealArray("-u","Initial solution","",u,&n,&flg1);CHKERRQ(ierr); 104 n = 2; 105 ierr = PetscOptionsRealArray("-du","Perturbation in initial solution","",du,&n,&flg2);CHKERRQ(ierr); 106 u[0] += du[0]; 107 u[1] += du[1]; 108 ierr = VecRestoreArray(U,&u);CHKERRQ(ierr); 109 if (flg1 || flg2) { 110 ctx.tf = -1; 111 ctx.tcl = -1; 112 } 113 } 114 ierr = PetscOptionsEnd();CHKERRQ(ierr); 115 116 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 117 Create timestepping solver context 118 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 119 ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr); 120 ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr); 121 ierr = TSSetType(ts,TSTHETA);CHKERRQ(ierr); 122 ierr = TSSetEquationType(ts,TS_EQ_IMPLICIT);CHKERRQ(ierr); 123 ierr = TSARKIMEXSetFullyImplicit(ts,PETSC_TRUE);CHKERRQ(ierr); 124 ierr = TSSetIFunction(ts,NULL,(TSIFunction) IFunction,&ctx);CHKERRQ(ierr); 125 ierr = TSSetIJacobian(ts,A,A,(TSIJacobian)IJacobian,&ctx);CHKERRQ(ierr); 126 127 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 128 Set initial conditions 129 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 130 ierr = TSSetSolution(ts,U);CHKERRQ(ierr); 131 132 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 133 Set solver options 134 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 135 ierr = TSSetMaxTime(ts,35.0);CHKERRQ(ierr); 136 ierr = TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP);CHKERRQ(ierr); 137 ierr = TSSetTimeStep(ts,.1);CHKERRQ(ierr); 138 ierr = TSSetFromOptions(ts);CHKERRQ(ierr); 139 140 direction[0] = direction[1] = 1; 141 terminate[0] = terminate[1] = PETSC_FALSE; 142 143 ierr = TSSetEventHandler(ts,2,direction,terminate,EventFunction,PostEventFunction,(void*)&ctx);CHKERRQ(ierr); 144 145 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 146 Solve nonlinear system 147 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 148 if (ensemble) { 149 for (du[1] = -2.5; du[1] <= .01; du[1] += .1) { 150 ierr = VecGetArray(U,&u);CHKERRQ(ierr); 151 u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax); 152 u[1] = ctx.omega_s; 153 u[0] += du[0]; 154 u[1] += du[1]; 155 ierr = VecRestoreArray(U,&u);CHKERRQ(ierr); 156 ierr = TSSetTimeStep(ts,.01);CHKERRQ(ierr); 157 ierr = TSSolve(ts,U);CHKERRQ(ierr); 158 } 159 } else { 160 ierr = TSSolve(ts,U);CHKERRQ(ierr); 161 } 162 ierr = VecView(U,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 163 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 164 Free work space. All PETSc objects should be destroyed when they are no longer needed. 165 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 166 ierr = MatDestroy(&A);CHKERRQ(ierr); 167 ierr = VecDestroy(&U);CHKERRQ(ierr); 168 ierr = TSDestroy(&ts);CHKERRQ(ierr); 169 ierr = PetscFinalize(); 170 return ierr; 171 } 172 173 /*TEST 174 175 build: 176 requires: !complex !single 177 178 test: 179 args: -nox 180 181 TEST*/ 182