abstract

• This contribution describes and applies a Newton method based on a Numerical Differentiation (ND) process for the fast periodic steady-state solution in the time domain of an induction machine following disturbance conditions. A state-space model of the induction machine in the arbitrary two-axis reference frame (dq frame) is used to represent its dynamic behavior. The efficiency of the methodology is compared against the solution obtained with the conventional Brute Force (BF) procedure. The ND process is applied during the simulation of the induction machine start-up and after a solid three-phase fault has been applied at the induction machine terminals. © 2008 IEEE.

authors

• Anaya-Lara O.
• McDonald J.R.
• Medina A.
• Peña Gallardo Rafael

publication date

• 2008-01-01

published in

• IEEE Power and Energy Society 2008 General Meeting: Conversion and Delivery of Electrical Energy in the 21st Century, PES  Proceedings

keywords

• Brute Force; Induction generator; Limit cycle; Numerical Differentiation; Periodic statestate Newton-Raphson method; Numerical analysis; Potential energy; Potential energy surfaces; State space methods; 21st century; Brute Force; Dynamic behaviors; Electrical energy; Induction generator; Induction machines; Limit cycle; Newton methods; Numerical Differentiation; Numerical differentiations; Periodic statestate; Reference frames; Start Ups; State-space modeling; Steady-state solutions; Time domain OCT; Two-axis; Energy conversion

Digital Object Identifier (DOI)

• 10.1109/PES.2008.4596537

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