1 static char help[] = "Basic equation for generator stability analysis.\n"; 2 3 /*F 4 5 \begin{eqnarray} 6 \frac{d \theta}{dt} = \omega_b (\omega - \omega_s) 7 \frac{2 H}{\omega_s}\frac{d \omega}{dt} & = & P_m - P_max \sin(\theta) -D(\omega - \omega_s)\\ 8 \end{eqnarray} 9 10 Ensemble of initial conditions 11 ./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 12 13 Fault at .1 seconds 14 ./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 15 16 Initial conditions same as when fault is ended 17 ./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 18 19 F*/ 20 21 /* 22 Include "petscts.h" so that we can use TS solvers. Note that this 23 file automatically includes: 24 petscsys.h - base PETSc routines petscvec.h - vectors 25 petscmat.h - matrices 26 petscis.h - index sets petscksp.h - Krylov subspace methods 27 petscviewer.h - viewers petscpc.h - preconditioners 28 petscksp.h - linear solvers 29 */ 30 31 #include <petscts.h> 32 #include "ex3.h" 33 34 int main(int argc, char **argv) 35 { 36 TS ts; /* ODE integrator */ 37 Vec U; /* solution will be stored here */ 38 Mat A; /* Jacobian matrix */ 39 PetscMPIInt size; 40 PetscInt n = 2; 41 AppCtx ctx; 42 PetscScalar *u; 43 PetscReal du[2] = {0.0, 0.0}; 44 PetscBool ensemble = PETSC_FALSE, flg1, flg2; 45 PetscInt direction[2]; 46 PetscBool terminate[2]; 47 48 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 49 Initialize program 50 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 51 PetscFunctionBeginUser; 52 PetscCall(PetscInitialize(&argc, &argv, NULL, 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, (TSIFunctionFn *)IFunction, &ctx)); 121 PetscCall(TSSetIJacobian(ts, A, A, (TSIJacobianFn *)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