Evaluation of Linear Implicit Quantized State System method for analyzing mission performance of power systems

Abstract

The Linear Implicit Quantized State System (LIQSS) method has been evaluated for suitability in modeling and simulation of long duration mission profiles of Naval power systems which are typically characterized by stiff, non-linear, differential algebraic equations. A reference electromechanical system consists of an electric machine connected to a torque source on the shaft end and to an electric grid at its electrical terminals. The system is highly non-linear and has widely varying rate constants; at a typical steady state operating point, the electrical and electromechanical time constants differ by three orders of magnitude—being 3.2 ms and 2.7 s respectively. Two important characteristics of the simulation—accuracy and computational intensity—both depend on quantization size of the system state variables. At a quantization size of about 1% of a variable’s maximum value, results from the LIQSS1 method differed by less than 1% from results computed by well-known continuous-system state-space methods. The computational efficiency of the LIQSS1 method increased logarithmically with increasing quantization size, without significant loss of accuracy, up to some particular quantization size, beyond which the error increased rapidly. For the particular system under study, a “sweet spot” was found at a particular quantum size that yielded both high computational efficiency and good accuracy.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 25, 2021
Source ID
10.1177/15485129211061702

Entities

People

  • Joseph M Hood
  • Navid Gholizadeh
  • Roger A. Dougal

Organizations

  • Office of Naval Research
  • University of South Carolina

Tags

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematics or Statistics
  • Robotics and Automation.

Technology Areas

  • Microelectronics
  • Microelectronics - Microelectromechanical Systems
  • Quantum Computing
  • Space