1. A method for modeling an electrical power system of an aircraft, comprising: using a general purpose graphic processing unit-based supercomputer cluster to execute computer executable components stored in a memory to perform the following acts: obtaining a set of initial characteristics for the electrical power system; modeling, based on electrical characteristics included in the set of initial characteristics, a set of currents and voltages via a power electronics circuit based-solver; modeling, via a field-based solver, at least one characteristic included in the set of initial characteristics, wherein the modeling includes: initiating a mesh for the at least one characteristic, forming a matrix based at least in part on the mesh, and solving the matrix, via a sparse linear equation solver, to represent the state of the at least one characteristic, wherein the sparse linear equation solver includes at least one of finite element analysis or finite difference analysis, and at least one of: the initiating the mesh, the forming the matrix, or the solving the matrix are distributed to multiple graphic processing units; and forming a final model of the electrical power system by collating outputs of the circuit-based solver and the field-based solver.