Improvements to the Copernicus Trajectory Design and Optimization System for Complex Space Trajectories

The purpose of this assessment was to develop updates and new features for the NASA Copernicus Spacecraft Trajectory Design and Optimization analysis tool (version 5.0) for application to NASA programs and projects. These updates will significantly improve the ability to design and optimize complex trajectories over multiple trajectory phases; will allow the use of unique vehicle-specific guidance, control, and trajectory strategies and constraints; and the creation of an almost unlimited number of unique user-defined capabilities. The primary stakeholders for this assessment are the trajectory design and optimization analysts and engineers, and the chief engineers and project managers for existing programs, projects, and/or tasks that involve impulsive, finite burn, and/or continuous thrust trajectories (e.g., Sun, planet, comet, asteroid, halo orbit, Lagrange point, and distant retrograde orbit). The breadth of application spans the preliminary engineering and mission design concepts and optimization, to the development of candidate reference missions and integrated mission design for vehicle system design and operation, to the design and development of flight trajectories and associated propulsive maneuvers for real-time operations

Power system Vertical Division State Estimation (VDSE) – A parallel processing technique

Power system state estimation is very important analysis both for off-line and online purposes. Solving the non-linear large power system equations by iterative solution consumes huge computational time and memory. This paper presents a unique technique to divide the Gain matrix/Jacobian products of the large system into smaller independent Jacobian products at each node area on an imaginary plan. The Jacobian product can be represented in three dimensional form having ‘m’-two dimensional layer arranged on the third axis, where ‘m’ is the total number of system measurements taken. The method of dividing the three dimensional view of Jacobian product from vertically downward is termed as “Vertical Division” technique. The fact is, in any electrical power system, the state of a bus/node depends on the power flow between the neighboring (connected) node/bus. This logic is applied to solve the state estimation which resulted in “Vertical Division” technique for Power system state estimation. In this technique the measurements are grouped and processed independently corresponding to respective Node. The two main focus of this paper is, 1) to evaluate its mathematical formulations and validate its results with standard, established Integrated State Estimation (ISE) technique, and 2) to demonstrate the computational time advantage of Vertical Division technique. The approach is tested on 13 and 30 bus test system for integrated state estimation along with Vertical Division technique and the results are encouraging