1. Shrirang Abhyankar abhyshr@anl.gov IEEE PES HPC Working Group Meeting
New additions to Portable Extensible Toolkit for Scientific Computing (PETSc)
Shrirang Abhyankar
IEEE PES HPC Working Group Meeting

2. Portable Extensible Toolkit for Scientific Computing (PETSc)
PETSc is NOT a power grid library!

3. Portable Extensible Toolkit for Scientific Computation (PETSc)
“Open-source” numerical library for large-scale parallel computation.
Started in 1991.
Scientific Computing Toolkit
Parallel Iterative linear solvers and preconditioners
GMRES, CG, SOR, Schwartz, Block PC, Multiplysics,… more than 30
Parallel nonlinear solvers
Line-search based Newton, Nonlinear FAS, GMRES, CG, Variational Inequality.
Parallel timestepping (ODE and DAE) solvers
Variable-step multi-stage implicit Runge-Kutta and Rosenbrock, Trapezoidal, Euler, Implicit-Explicit, Semi-Explicit, Explicit.

4. PETSc supports GRIDPACKTM
Recommend usage via GridPACKTM
Application
Interface
Application Layer
GRIDPACKTM
Models,
Toplogy
Power System Layer
Algorithms,
Solvers
Math and Computational Layer
PETSc,
SUNDIALS

5. New additions to PETSc: Discontinuous DAEs
Hybrid systems
Applications: Equipment limits, relays, other discontinuities
Dynamics trajectory sensitivities
Forward and adjoint sensitivities
Applications: Generation rescheduling, Uncertainty quantification, Voltage
Switching condition

6. New additions to PETSc: DMNetwork
Common set of abstractions for modeling heterogeneous networks/infrastructures
Power grid
Gas Networks
Oil
Water

7. THANKS!

8. Portable Extensible Toolkit for Scientific Computation (PETSc)
Extensibility
KLU, ParMetis, SuperLU, SuperLU_Dist, MUMPS, HYPRE,UMFPACK, Sundials, Elemental, Scalapack, …
Portability
Tightly/loosely coupled architectures
Unix, Linux, MacOS, Windows
32/64 bit, real/complex, single/double/quad precision
C, C++, Fortran, Python, MATLAB.
GPGPUs and support for threads

9. New additons to PETSc: Trajectory Sensitivity
Support for computing sensitivities of power system dynamic trajectories
Both Forward and Adjoint sensitivity calculations with handling of discontinuities
Applications: Preventive control, uncertainity quantification, parameter estimation, others