Singular Perturbation Method for Boundary Value and Optimal Problems to Power Factor Correction Converter Application
- 19 May 2020
- journal article
- Published by World Scientific and Engineering Academy and Society (WSEAS) in WSEAS TRANSACTIONS ON ELECTRONICS
- Vol. 11, 42-53
- https://doi.org/10.37394/232017.2020.11.6
Abstract
A linear discrete stable control system is considered. The Power Factor Correction (PFC) converter to allow independent control of current and voltage. It converter are fast and slow states to inheres sty present small parameters inductor and capacitor its computes stiffness and to include switching ripple effects. As an alternative a Singular Perturbation Method (SPM) is presented Boundary Value Problem (BVP) and Optimal Problem. It is applied to two state switching power converters to provide rigorous justification of\ the time scale separation. It is modeled as a one parameter singularly perturbed system. SPM consists of an outer series solution and one boundary layer correction (BLC) solution. A boundary layer correction is required to recover the initial conditions lost in the process of degeneration and to improve the solution. SPM is carried out up to second-order approximate solution for the PFC converter model for BVP and optimal control problems. The results are compared with the exact solution (between with and without parameters). The results substantiate the application.Keywords
This publication has 22 references indexed in Scilit:
- Shooting Methods for Two-Point Boundary Value Problems of Discrete Control SystemsInternational Journal of Computer Applications, 2015
- Diagnosis of Discrete-Time Singularly Perturbed Systems Based on Slow SubsystemActa Mechanica et Automatica, 2014
- Estimating the stability region of singular perturbation power systems with saturation nonlinearities: an linear matrix inequality-based methodIET Control Theory & Applications, 2010
- Singular perturbations in control problemsAutomation and Remote Control, 2006
- Singular perturbation methods for a class of initial and boundary value problems in multi-parameter classical digital control systemsThe ANZIAM Journal, 2004
- Bifurcation cascade as chaotic itinerancy with multiple time scalesChaos: An Interdisciplinary Journal of Nonlinear Science, 2003
- Single phase power factor correction: a surveyIEEE Transactions on Power Electronics, 2003
- Singular perturbations and time-scale methods in control theory: Survey 1976–1983Automatica, 1984
- Reduced order modelling and control of two-time-scale discrete systems†International Journal of Control, 1980
- A Riccati equation for block-diagonalization of ill-conditioned systemsIEEE Transactions on Automatic Control, 1975