Research Article
Sample-Data Modeling of a Zero Voltage Transition DC-DC
Converter for On-Board Battery Charger in EV
Teresa R. Granados-Luna,
1
Ismael Araujo-Vargas,
2
and Francisco J. Perez-Pinal
3
1
Coacalcos Institute of Tecnological Studies, 16 de Septiembre Avenue No. 54, Col. Cabecera Municipal,
55700 Coacalco de Berriozabal, MEX, Mexico
2
School of Mechanical and Electrical Engineering, National Polytechnic Institute of Mexico, ESIME Cul.,
Santa Ana Avenue No. 1000, Col. San Francisco Culhuacan, 04430 Coyoacan, DF, Mexico
3
Automotive Mechanical Engineering Department, Polytechnic University of Pachuca, Ex Hacienda de Santa Barbara,
Carretera Pachuca Cd. Sahag´ un, Km. 20, 43830 Zempoala, HGO, Mexico
Correspondence should be addressed to Ismael Araujo-Vargas; iaraujo@ipn.mx
Received 30 November 2013; Accepted 5 February 2014; Published 2 June 2014
Academic Editor: Sheldon S. Williamson
Copyright © 2014 Teresa R. Granados-Luna et al. Tis is an open access article distributed under the Creative Commons
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is
properly cited.
Battery charger is a key device in electric and hybrid electric vehicles. On-board and of-board topologies are available in the
market. Lightweight, small, high performance, and simple control are desired characteristics for on-board chargers. Moreover,
isolated single-phase topologies are the most common system in Level 1 battery charger topologies. Following this trend, this paper
proposes a sampled-data modelling strategy of a zero voltage transition (ZVT) DC-DC converter for an on-board battery charger.
A piece-wise linear analysis of the converter is the basis of the technique presented such that a large-signal model and, therefore, a
small-signal model of the converter are derived. Numerical and simulation results of a 250 W test rig validate the model.
1. Introduction
Advanced vehicular systems are based on the more electric
systems (MES) concept. MES is the intensive application of
power electronic converters (PEC), electric machines (EM),
and advanced embedded control systems to aeronautical,
automotive, and maritime systems. MES was initially applied
to aeronautical systems toward the reduction and/or sub-
stitution of mechanical, pneumatic, and hydraulic systems,
that is, the more electric aircraf (mea) and totally integrated
more electric systems (TIMES), [1]. MES are more efcient
compared to their counterparts due to (i) small utilization
of electric energy, (ii) high energy efciency, (iii) reduced
weight, and (iv) low maintenance [2]. Afer that, MES was
implemented in automotive sector resulting in the more
electric vehicle (MEV). MEV includes electric vehicles (EV),
hybrid electric vehicles (HEV), and plug-in hybrid electric
vehicles (PHEV) [3]. In particular, MES applied to vehicular
systems has become popular due to the market introduction
of the HEV Toyota Prius in 1997 [4]. HEV are being developed
by companies like BMW, Chrysler, Daimler AG, General
Motors, PSA Peugeot Citroen, Suzuki Motor Corp, Toyota,
and Volkswagen. Motivations to develop EV, HEV, and PHEV
are based on economic, environmental, and energetic facts.
Regardless of these kinds of confgurations, at least two
diferent sources of energy are needed to achieve the same
performance compared to an internal combustion engine
(ICE). Indeed, at least one EM and PEC are needed in the
propulsion stage at any EV, HEV, and PHEV confguration.
Series, parallel, series/parallel, and integrated starter alter-
nator (ISA) with its optional plug-in capability are typical
confgurations available in the market.
PHEV uses an of-board or on-board charger similar to
EV. Te standard SAEJ1772 is used in North America and
comprises three charge methods: AC level 1 (supply voltage
varies from 120VAC 1-phase), AC level 2 (208V to 240VAC
and 600V DC maximum; with a maximum current (amps-
continuous) from 12A, 32A and 400A), and DC charging.
Hindawi Publishing Corporation
Mathematical Problems in Engineering
Volume 2014, Article ID 712360, 15 pages
http://dx.doi.org/10.1155/2014/712360