Apparatus, methods and systems for parallel power flow calculation and power system simulation

A system for computing a solution to a power flow problem for an electrical power system comprising a plurality of buses, the system comprising:

• (a) at least one memory module for storing an admittance matrix for the power system, real power and reactive power for each bus, and initial complex voltage for each bus;
• and
• (b) at least one parallel processor module coupled to the at least one memory module for:
• (i) performing a Jacobi power flow calculation for each bus to determine the complex voltage for each bus, the Jacobi power flow calculation using the admittance matrix, real power and reactive power for each bus, and the complex voltage for each bus as inputs, wherein the at least one parallel processor module comprises a plurality of independent cores and at least two Jacobi Raw Power Flow calculations are performed concurrently on the plurality of cores;
• (ii) calculating a power mismatch at each bus based on the complex voltages;
• and
• (iii) determining whether the Jacobi power flow calculations have converged based on the power mismatches and repeating (i) to (iii) if the Jacobi power flow calculations have not converged.

An apparatus for computing a solution to a power flow problem for an electrical power system comprising a plurality of buses, the apparatus comprising:

• (a) at least one processor comprising a plurality of cores;
• and
• (b) memory coupled to the at least one processor for storing an admittance matrix for the power system, real power and reactive power for each bus, and an initial complex voltage for each bus;
• (c) wherein the at least one processor is configured to:
• (i) perform a Jacobi power flow calculation for each bus to determine the complex voltage for each bus, the Jacobi power flow calculation using the admittance matrix, the real power and reactive power for each bus, and the initial complex voltage for each bus as inputs, wherein at least two Jacobi power flow calculations are performed concurrently on the plurality of cores;
• (ii) calculate a power mismatch at each bus based on the complex voltages;
• and
• (iii) determine whether the Jacobi power flow calculations have converged based on the power mismatch and repeat (i) to (iii) if the Jacobi power flow calculations have not converged.