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1 Exploring the Barriers and Driven Factors in Implementing
Building Information Modelling (BIM) in the Malaysian
Construction Industry: A Preliminary Study
by Zahriza Zakaria, Nasly Mohamed Ali, Ahmad Tarmizi Haron,
Amanda Marshall Ponting and Zuhairi Abd Hamid
11 Bifurcation Behaviour of the Buck Converter
by Ir. Dr Ng Kok Chiang, Dr Nadia Tan Mei Lin and
Dr Michelle Tan Tien Tien
24 Novel Bimetallic Tin-Manganese Oxides/Carbon Nanotube
Nanocomposite and Their Charge Storage Properties
by Ir. Dr Ng Kok Chiang, Ms. Siew Shee Lim and Dr Chuang Peng
40 Numerical Simulation of the Decay of Grid-generatedTurbulence in a Shock Tube
by Mohammad Ali Jinnah
49 Guideline for Authors
51 Referees Form
Vol. 75, No. 1, June 2014KDN PP5476/10/2012 (030203) ISSN 0126-513X
THE INSTITUTION OF ENGINEERS, MALAYSIABangunan Ingenieur, Lots 60 & 62, Jalan 52/4,
P.O.Box 223 (Jalan Sultan),
46720 Petaling Jaya, Selangor Darul Ehsan.
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CONTENTS
PRINT QUANTITY: 5,500 Copies
MAjlIS BAGI SESI 2014/2015 (IEM CouNCIl SESSIoN 2014/2015)
YANG DIpERTuA / pRESIDENT:Dato Ir. Lim Chow Hock
TIMBAlAN YANG DIpERTuA / DEpuTY pRESIDENT:Ir. Tan Yean Chin
NAIB YANG DIpERTuA / VICE pRESIDENTS:Ir. P.E. Chong, Ir. Prof. Dr Wan Mahmood bin Wan Ab. Majid,Y.Bhg. Dato Ir. Dr Andy Seo Kian Haw, Ir., Prof. Dr. Lee Teang Shui, Ir. David Lai Kong Phooi ,Ir. Lee Weng Onn, Ir. Gopal Narian Kuy
SETIAuSAHA KEHoRMAT / HoNoRARY SECRETARY:Ir. Gunasagaran a/l Kristnan
BENDAHARI KEHoRMAT / HoNoRARY TREASuRER:Ir. Prof. Dr Jeery Chiang Choong Luin
BEKAS YANG DIpERTuA TERAKHIR / IM MEDIATE pAST pRESIDENT:Ir. Choo Kok Beng
BEKAS YANG DIpERTuA / pAST pRESIDENTS:Y.Bhg. Dato Ir. Pang Leong Hoon, Y.Bhg. Academician Dato Ir. (Dr) Hj. Ahmad Zaidee binLaidin, Y.Bhg. Dato Ir. Dr Gue See Sew, Y.Bhg. Datuk Ir. Prof. Dr Ow Chee Sheng,Y.Bhg. Academician Dato Ir. Prof. Dr Chuah Hean Teik
WAKIl AM / CIVIl REpRESENTATIVE:
Ir. Prof. Dr Mohd Zamin bin Jumaat
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WAKIl KIMIA / CHEMICAl REpRESENTATIVE:Ir. Prof. Dr Abdul Aziz bin Abdul Raman
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WAKIl MulTIMEDIA / MulTIMEDIA REpRESENTATIVE:Engr. Abdul Faah bin Mohd. Yam, M.I.E.M.
AHlI MAjlIS / CouNCIl MEMBERS:Ir. Dr Tan Kuang Leong, Ir. June Lau Yuk Ma, Ir. Assoc. Prof. Dr Norlida bt. Buniyamin, Ir.Ishak bin Abdul Rahman, Y.Bhg. Dato Ir. Abdul Rashid bin Maidin, Ir. Lee Cheng Pay, Y.Bhg.Dato Ir. Samsuddin bin Ismail, Ir. Lee Boon Chong, Ir. Tu Yong Eng, Ir. Lai Sze Ching, Ir. Lee
Weng Onn, Ir. Yap Soon Hoe, Ir. Li Thang Fai, Ir. Juares Rizal bin Abd. Hamid, Ir. Norazmanbin Mohamad Nor, Ir. Ellias bin Saidin, Ir. Assoc. Prof. Dr Jimmy Mok Vee Hoong, Ir. Dr.Tan Chee Fai, Ir. Kok Hee Poh, Ir. Tiong Ngo Pu, Ir. Yau Chau Fong, Ir. Teh Piaw Ngi, Ir.Tay Yuh Her, Ir. Chong Chin Meow, Ir. Chin Kuan Hwa, Ir. Assoc. Prof. Dr Vigna KumaranRamachandaramurthy
pENGERuSI CAWANGAN / BRANCH CHAIRMAN:1. Pulau Pinang Ir. Paul Phor Chi Wei2. Selatan Ir. David Lee Loke Hai3. Perak Ir. Dr Perumal Nallagownden4. Kedah-Perlis Ir. Chua Teik Seng5. Negeri Sembilan Ir. Hj. Baharuddin bin Ahmad Nasir6. Kelantan Ir. Hj. Syed Abdul Rahman bin Syed Abdullah7. Terengganu Ir. Mohd. Azmi bin Ali8. Melaka Ir. Vellan a/l Vengo @ Perumal9. Sarawak Ir. Haidell Heli
10. Sabah Ir. Tan Koh Yon11. Miri Ir. Goh Soon Boon12. Pahang Ir. Tuan Haji Ahmad Kamal bin Kunji
AHlI jAWATANKuASA INFoRMASI DAN pENERBITAN /STANDING CoMMITTEE oN INFoRMATIoN AND puBlICATIoNS 2014/2015:Pengerusi/Chairman: Ir. Prof. Dr Lee Teang ShuiNaib Pengerusi/Vice Chairman: Ir. Dr Tan Chee FaiSeausaha/Secretary: Ir. Lau Tai OnnKetua Pengarang/Chief Editor: Ir. Prof. Dr Lee Teang ShuiPengarang Bulen/Bullen Editor: Ir. Mohd. Khir MuhammadPengarang Prinsipal Jurnal/Principal Journal Editor:Ir. Prof. Dr Dominic Foo Chwan YeePengerusi Perpustakaan/Library Chairman: Ir. C.M.M. Aboobucker
Ahli-Ahli/Commiee Members: Ir. Ong Guan Hock, Ir. Yee Thien Seng, Ir. Tu Yong Eng,Ir. Chin Mee Poon, Y.Bhg. Datuk Ir. Prof. Dr Ow Chee Sheng, Engr. Aida Yazrin Mohd. Khairi,Engr. Abdul Faah bin Mohamed Yam, Ir. Dr Kannan a/l M. Munisamy, Ir. Siow Yun Tong,Engr. Kok Jing Shun
lEMBAGA pENGARANG juRNAl/jouRNAl EDI ToRIAl BoARD 2014/2015:Penyunng Utama/Chief Editor: Ir. Prof. Dr Dominic Foo Chwan YeePenyunng Subjek/Subject Editor: Ir. Prof. Dr Hew Wooi Ping (Civil Engineering), Ir. Assoc.Prof. Dr Low Kaw Sai (Civil Engineering), Ir. Dr Ramlee bin Karim (Chemical Engineering),
Ir. Dr Saiful Amri b in Mazlan (Mechanical Engineering), Assoc. Prof. Dr Zubaidah binIsmail (Civil Engineering), Engr. Assoc. Prof. Dr Intan Zaurah bin Mat Darus Grad. IEM(Mechanical Engineering), Ir. Lim Kim Ten (Electrical Engineering), Ir. Jagathisen s/o SivaPerumal (Mechanical Engineering), Engr. Dr Aminudin bin Abu (Mechanical Engineering)
IEM Secretariat: Pamela Jitab, Mirdeeliani bin Amir
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 1
Exploring the Barriers and Driving Factors in ImplementingBuilding Information Modelling (BIM) in the Malaysian
Construction Industry: A Preliminary Study
(Date received: 02.05.13/Date accepted: 20.12.2013)
Z., Zahrizan1; Nasly, Mohamed Ali1; Ahmad, Tarmizi Haron1; Amanda Marshall-Ponting2; and Zuhairi, Abd. Hamid3
1Faculty of Civil Engineering and Earth Resources, Universiti Malaysia Pahang, Gambang, Kuantan2School of Build Environment, University of Salford Manchester, Salford, United Kingdom
3Construction Research Institute of Malaysia (CREAM),
Construction Industry Development Board (CIDB), Cheras, Kuala Lumpur
E-mail: [email protected]; [email protected]; [email protected];[email protected]; [email protected]
ABSTRACT
In Malaysia, Building Information Modelling (BIM) has recently gained attraction from construction players and
some of them have applied it to several projects. By utilising the BIM process, the construction players have the
opportunity to plan, coordinate and design in an integrated approach. This is one of the many benets that they could
gain and resulting in increased productivity. Despite these benets, the implementation of BIM in the Malaysian
construction industry is still lagging behind Singapore, for instance. Thus, it warrants a study such as the present to
determine what are the actual barriers that hamper its implementation and what are the driving factors that could
enhance its pace of implementation in the Malaysian construction industry. In this study, a questionnaire survey
based on Convenience Sampling Method was carried out to gather the possible barriers and driving factors for
BIM implementation among the Malaysian construction players. Additionally, Relative Importance Indices (RII)
were used to analyse the data obtained and to identify those barriers and driving factors for the implementation ofBIM in this country. Consequently, results of this study revealed that the main barriers for implementing the BIM
are: 1) Lack of knowledge about BIM, 2) Reluctance and/or no insistence shown by the Malaysian construction
industry players (Clients, Contractors and Consultants alike) on the use or implementation of BIM. The driving
factors, on the other hand, that could lead to the speeding up of the implementation of BIM are: 1) Support and
enforcing the implementation of BIM by the Government, 2) promote BIM training program and 3) Initiatives of
senior management of the related industry players. In conclusion, for successful wide spread application of BIM
in Malaysia, a good push from the government alone is far from enough. All other construction industry players
mentioned must assume their roles well in promoting the use of BIM in their construction projects.
Keywords: Building Information Modelling, BIM, Malaysian Construction Industry, Barriers, Driving Factors
1.0 INTRODUCTION
In Malaysia, the construction industry has been identied
as an area that plays an important part in contributing to the
Malaysian economy and contributes to approximately 3 to
5 percent of the Gross Domestic Product (GDP) annually
[1]. Although the Malaysian construction industry plays asignicant role contributing to the growth of Malaysias
economy, in the era of globalisation the Malaysian
construction industry needs to evolve. The Malaysian
construction industry must upgrade the current construction
approach, whether in terms of practice, management or
technology in order to be globally competitive because
since the 1960s, construction industry has not transformed
much in terms of technology or construction approach andstill depends on traditional approaches and relies heavily
on foreign labour [1 and 2].
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Z., ZAHRIZAN; NASLY, MOHAMED ALI; AHMAD, TARMIZI HARON;
AMANDA MARSHALL-PONTING; AND ZUHAIRI, ABD HAMID
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)2
In order to improve the traditional approach in
the construction industry, Information Technology/
Information System (IT/IS) can be utilised to increase the
productivities and transforms the Malaysian construction
industry. Researchers [3, 4 and 5] have discussed the
benets of IT/IS applications. The benets that could
be gained by implementing IT/IS are enhancing the
communication between parties, assisting in the decision
making process, sharing updated information and
accessing the information with ease [3, 4 and 5]. Realising
these benets, the government of Malaysia has been
promoting and pushing the industry to adopt and utilise IT/
IS in order to achieve the developed country status by the
year 2020 [6]. Despite the numerous benets that could be
gained by the construction industry, Stewart & Mohamed
[7] found that the construction industry in Malaysia still
lags behind other industries in terms of implementing IT/IS. This happens because the return in IT investments
does not seem to be attractive. There are numerous factors
to this and the objective of this paper is to explore the
barriers and the driving factors that could contribute to
implementing the new information technology especially
Building Information Modelling (BIM) in the Malaysian
construction industry.
2.0 BUILDING INFORMATION MODELLING
(BIM): AN OVERVIEWBIM can be viewed as a combination of advanced process
and technology that offers a platform for collaboration
between different parties in the construction project by
exploiting the uses of Information Technology (IT). In
the Malaysian construction industry, many construction
players regard BIM as a new technology because it is
not widely used. Traditionally, a 2D design that has been
approved for construction will be checked manually. This
method will consume time especially for complex designs.
This traditional method involves manually checking for
discrepancies in designs depending on the complexity
of the designs. BIM can be referred as the process of
creating and using 3D parametric computer-aided-design
(CAD) technologies for design that allows the exchanges
of information within a construction project team in a
digital format [8, 9, 10 and 11]. This model can be passed
digitally between consultants in the construction projects
and the more important thing is that the model that is
created using BIM has a pool of information and is enabled
with clash detection software to ensure coordination
[12]. This approach is not only faster, but can reduce thechance of human error to a minimum. This model can be
passed to the contractor for estimating and planning the
construction projects. In general, BIM can be viewed as
a single respiratory system that supplies and receives any
information in digital form related to construction projects.
3.0 THE CHALLENGES IN IMPLEMENTING
BUILDING INFORMATION MODELLING(BIM)
There are many benets that BIM can offer to the
Malaysian construction industry, especially in enhancing
the communication between different parties in
construction projects. BIM is able to streamline and
aids clear communication between client, consultant and
contractor in construction projects by providing a single
respiratory system for exchanging digital information in
one or more agreed format. Khanzode & Fisher [13] and
Azhar et al. [14] believe that, this approach can reduceerrors associated with inconsistent and uncoordinated
project documents because BIM is capable of carrying
information which are related to the building either
its physical or functional characteristics. Furthermore,
Kymmell [12] and Taylor & Bernstein [11] believed
that visualisation is one of the benets gained when
implementing BIM. The visualisation could help parties
that are involved in the construction projects to gain better
understanding of what they construct by creating detailed
3D view. Kymmell [12] added that one of the critical tasks
in Mechanical, Electrical and Plumbing (MEP) designis clash detection and without having good visualisation
tools, this task will consume time. Traditionally, in 2D
drawing, clash detection process is done by overlaying
2D plan drawings to visualize the location of the system
components in 3D space. However, by the exploitations of
3D parametric modelling between architect and structural
engineer, this task can be done within a short time and
is more accurate compared to traditional method. Other
benets that are gained by the utilisation of BIM are in
terms of cost estimating and planning and scheduling
when the information on BIM incorporated time and cost.
In terms of cost estimating, BIM can facilitate quantity
surveyor quantifying the cost and the material of the
projects in shorter time which can be reduced up to 80%
compared to traditional methods [14].
Despite the numerous benets from the utilisation of
BIM, review of literature also has identied the factors
impeded the pace in implementing BIM in construction
industry. Grifth et al.[15], OBrien [16] and Whyte &
Bouchlaghem [17] believe that, the failure to implement
new information technology (IT) in construction industryhappens because of technical issues rather than social
issues such as lack of technical expertise, the complexity
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EXPLORING THE BARRIERS AND DRIVING FACTORS IN IMPLEMENTING BUILDING INFORMATION
MODELLING (BIM) IN THE MALAYSIAN CONSTRUCTION INDUSTRY: A PRELIMINARY STUDY
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 3
of the system and lack of support system. However,
Ruikar et al.[18] and Rojas & Locsin [19] have a different
view where they believe that people also play a part as the
major barrier to implementing new IT in the construction
industry. Martinko et al. [20] added that, the failure in
changing people behaviour to handle new tools is the
most prominent factor of why people are reluctant to
adopt new technology. A survey done by Khemlani [21]
revealed that the primary obstacles in implementing BIM
is the resistance from employees who are reluctant to learn
something new and challenges because of their beliefs and
complacency with current status.
Meanwhile, Stephenson, P. & Blaza, S. [22] and Love
et al. [23] added, besides the factors of technology and
people, the failure in implementing new technology is
because of organisational problems. Some organisations
are reluctant to change their business process becausethey are afraid that by changing their business process,
it involves cost and jeopardises their established process
because they cannot accept the uncertainty. Some people
in that organisation feel that the technology will take over
their roles and feel anxiety towards changes especially
when new technology is involved and this happens
because not many managers understand how to manage
technological change. Many organisations believe that
implementing BIM will affect their established business
processes because implementing new technology will
reshape their business processes and during this process,
productivity will suffer because the transition process from
fragmented to collaborative in nature will put the project
outcomes and clients expectations at risk [24].
To reduce the resistance from people to change,
support from top management is very crucial [25] because
during the migration to a new technology, the role of
top management is very important to formulate the
strategies and direction of the organisation in adopting
new technology. This action shows the commitment of
the organisation in adopting new technology and it willmotivate their workers to implement new technology.
Motivation of the organisation is one of the approaches
to reduce the resistance from people. Motivation by the
organisation could be one of the factors to build up self-
condence to motivate individuals to use IT applications
[16]. According to Stewart & Mohamed [7] lack of
knowledge and skill in using the new technology could
lead to a hindrance of implementing new technology
besides contributing to low self-condence, therefore, a
proper training provided by the organisation could reduce
the resistance from people in the implementation. Trainingis one of the factors that could increase the pace in adopting
new IT, but according to Eastman et al.[9], it is hard to
guarantee that each person participating in the organisation
has the required technology and skill, therefore, the
organisation could establish a technical support group
to cater these problems and to solve any problems that
arise. This technical support group could disseminate their
knowledge among the staff within an organisation and
this activity could spread the spirit of knowledge sharing
among them. Support from the authority also plays a
signicant role to promote the implementation of new IT.
The authority could come out with an interactive package
to any construction players who are willing to implement
new IT [26; 21 and 27].
On top of cost, compatibility and complexity of the
technology are also the factors that inuence the adoption
of new technology. Cost is a more subjective issue because
it requires external factors such as regulations imposed by
the government or clients. To increase the pace of adoptionof new IT, higher compatibility and more user-friendly
technology are the characteristics that the technology
must have [28] because, it is easy for people to accept and
use new technology if they are familiar with it. Besides,
the time required for training can be reduced.
4.0 METHODOLOGY
In this study, an exploratory survey was used to discover
and identify the relative importance of the barriers and
the driven factors in implementing Building InformationModelling (BIM) in the Malaysian construction industry
from the perception of clients, consultants and contractors.
The survey questionnaire consists of three sections. The
rst section was to identify the respondents prole.
The second section of the questionnaire focused on the
barriers factors in implementing BIM and the last section
of the questionnaire was designed to identify the relative
importance of the driving factors in implementing BIM.
In order to identify the relative importance of the
barriers in implementing BIM, there was a total of 15
variables used while to identify the relative importance
of the driving factors in implementing BIM, there was a
total of 19 variables used and these variables were grouped
into two categories: External Push and Internal Push. All
these variables were selected from the literature. The
respondents were asked to select their choices through
open-ended questions by ticking a column of the relative
importance of each of the question. A ve-point Likert
scale ranging from 1 which represented the least important
to 5 which represented the most important was being used
to capture the importance of the barriers and the drivingfactors in implementing Building Information Modelling
(BIM) in the Malaysian construction industry.
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Z., ZAHRIZAN; NASLY, MOHAMED ALI; AHMAD, TARMIZI HARON;
AMANDA MARSHALL-PONTING; AND ZUHAIRI, ABD HAMID
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)4
Convenience sampling method was used although
this approach has its potential for bias. However, after
considering that this is a preliminary study, convenience
sampling was considered appropriate [29]. The samples
addresses were obtained from the company which
registered with Construction Industry and Development
Board (CIDB), a board of architects and engineers. The
questionnaire was distributed via email to the 150 potential
respondents at all levels in their organisations. Out of
the 150 potential respondents, 50 sets of questionnaire
were sent to clients, 50 sets to contractors and 50 set to
consultants.
As shown in Table 1, out of the 150 questionnaires that
were sent, 48 rms responded, thus, giving a response rate
of 32%. The response rate was considered average and
acceptable because according to Frohlich [30], the normal
average response rates for an organisational survey areabout 30 to 40 percent since the middle of 1990. Therefore,
considering that this is a preliminary study, the response
rate gathered from the clients, contractors and consultants
which was 32% was considered appropriate.
The low response from the respondents happened due
to their unawareness or they did not know of the existence
or the term, BIM, especially for clients (response rate of
8%) and contractors (response rate of 14%).
4.1 Method of Data Analysis
The RII was calculated using the following formula:
Where:
RII = Relative Importance Indices
Pi= Respondents rating
Ui= Number of respondents placing an identical
weighting/rating
N = Sample size
n= The highest attainable score (in this study nis 5)
The value for RII ranges from 0 to 1 and the factors which
scored the highest value of RII are the most important
factors.
5.0 FINDINGS AND DISCUSSION
5.1 Barriers in Implementing Building
Information Modelling (BIM)
Table 2 illustrates the relative importance indices and the
rank for factors that hinder the implementation of BIM in
the Malaysian construction industry by all respondents.From Table 2, the top ve most important factors that
hinder the implementation of BIM are (1) Lack of
knowledge about BIM (RII = 0.950), (2) Clients do not
request/enforce BIM (RII = 0.950), (3) Reluctance from
clients, contractors or consultants to implement BIM (RII
= 0.875), (4) BIM is not required by other team members
(RII = 0.838) and (5) Lack of data of Return on Investment
of BIM (RII = 0.833).
Lack of knowledge about BIM could contribute
to the resistance in implementing BIM because in the
construction industry it involves various parties. Without
signicant knowledge about BIM, each party is reluctant
to use BIM because they believe that new technology such
as BIM technology is difcult to learn and could increase
the operating cost. The lack of knowledge about BIM in
terms of benet to the operation and maintenance phase
in the projects life cycle has a signicant role on why
clients, consultants, contractors and others parties that
are involved in construction projects are reluctant to use
BIM in their construction projects. In addition, lack of
measurable data to measure the benets and return fromthe investments in information technologies also plays a
major role to their reluctance.
On the other hand, the three least important factors
that could hinder the implementation of BIM are (1) BIM
is too expensive (RII = 0.592), (2) Lack of training of
BIM software (RII = 0.608) and (3) BIM lacks features
or exibility to create a building model/drawing (RII
= 0.650). For the weakest factors, the respondents
believe that the cost to purchase the BIM technology is
not so expensive compared to the benets that can be
gained by utilising the BIM technology. On top of that,the respondents do not believe that BIM technology is
lacking the exibility to create a building model/drawing
compared to the traditional 3 dimensional modelling
(3D) such as AutoCAD. They found out that creating a
3D model is easier using BIM technology compared to
the traditional 3D [8]. The respondents also believed that
in the Malaysian construction industry, organisations are
willing to send their staff to undergo related training in
order to enhance their knowledge and skills, therefore,
lacking in BIM training is not a factor that could hinder
the implementation of BIM in the Malaysian construction
industry.
Respondents Questionnaire
distributed
Responses
returned
Percentage
of
responses
Clients 50 4 8%
Consultants 50 37 74%
Contractors 50 7 14%
TOTAL 150 48 32%
Table 1: Respondents Profle and Response Rate
(1)RII = PiUi
N(n)
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EXPLORING THE BARRIERS AND DRIVING FACTORS IN IMPLEMENTING BUILDING INFORMATION
MODELLING (BIM) IN THE MALAYSIAN CONSTRUCTION INDUSTRY: A PRELIMINARY STUDY
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 5
5.2 Driving Factors in Implementing Building
Information Modelling (BIM)
Table 3 shows a summary of the relative importance
indices and the rank of the variables that could increase thepace of implementing BIM identied by the respondents.
Table 3 also shows the relative importance indices of the
categories that could increase the pace of implementing
BIM. From Table 3, it can be found that the top ten
most important factors that could increase the pace of
implementing BIM are:
1) Support and enforcement in the implementation of
BIM by the government (RII = 0.950)
2) BIM training program (RII = 0.950)
3) Leadership of senior management (RII = 0.925)4) Provide a grant scheme for training BIM
(RII = 0.905)
5) Promotion and awareness road show about BIM
(RII = 0.892)
6) Collaboration with universities (Research
collaboration and curriculum design for students)
(RII = 0.879)
7) Incentive given by client such as tax reduction
(RII = 0.842)
8) Outsourcing BIM specialist (RII = 0.842)
9) Technical support (RII = 0.800)
10) Clients demand the application of BIM in their
project (RII = 0.792)
From the different categories of the factors that could
increase the pace of implementation of BIM in theMalaysian construction industry, the respondents generally
agreed that External Push (RII = 0.805) has a more
signicant role to speed up the pace of implementation of
BIM compared to the Internal Push (RII = 0.755).
The most important factors that could be the
driving factors in implementing BIM in the Malaysian
construction industry are 1) Support and enforcement
in the implementation of BIM by the Government
and 2) BIM training program where both scored RII =
0.950. This indicates that in the Malaysian construction
industry, government push is a must to implementing new
approaches. Having a strong support from the government
is vital and without the enforcement from the government
in the implementation of BIM in the Malaysian
construction industry, it will be slow or stagnant. Other
countries like the United Kingdom (UK), Australia, Hong
Kong and Singapore have implemented the use of BIM in
their construction industry through their governments. In
the UK for instance, the government is mandating BIM;
Australia is supporting BIM, Singapore enforces the use of
BIM as part of their policy and terms of contract and HongKong is assisting BIM [26, 21 and 27].
Table 2: Rank for Factors of Barriers
Factors why BIM is not being implemented in Malaysia RII Overall Rank SD
1 Lack of knowledge about BIM 0.950 1 0.437595
2 Existing CAD system fulls our need to design and draft 0.804 8 0.668106
3 BIM is too expensive 0.592 15 0.988408
4 Lack of training on BIM software 0.608 14 0.898186
5 BIM does not reduce the time used on drafting compared
with the current drawing approach
0.650 12 0.668437
6 BIM lacks features or exibility to create a building model/
drawing
0.650 13 0.437595
7 Clients do not request/enforce BIM 0.950 2 0.437595
8 BIM is not required by other team members 0.838 4 0.733869
9 Application of BIM will affect the current process practice 0.779 9 0.831292
10 Application of BIM will affect the current productivity 0.779 10 0.831292
11 Legal or contract issue 0.817 6 0.918679
12 Lack of working procedures and standards 0.675 11 0.86602513 Reluctance from Client, Contractors or Consultant to
implement BIM
0.875 3 0.761438
14 Lack of data of Return on Investment of BIM 0.833 5 0.753244
15 Software related (i.e.: ease of use) 0.808 7 0.988408
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)6
Other roles that the government should do according
to the respondents are providing a grant scheme for BIM
training (the fourth most important factor with RII = 0.905),
conducting promotion and awareness road show about
BIM (the fth most important factor with RII = 0.892) and
giving tax reduction (the seventh most important factor
with RII = 0.842). The respondents believe that by having agrant scheme for training and by giving tax reduction, they
can increase the pace of implementing BIM. Previously,
the Construction Industry Development Board (CIDB) has
implemented this approach for contractors who implement
Industrial Building System (IBS) in their construction
projects [1] and this approach can also be used for those
who are implementing BIM in their construction projects.
This approach could attract the attention of construction
players.
The government through its representative bodies
such as CIDB could conduct awareness roadshow aboutBIM and promote the benets of BIM. This promotion
could spark the curiosity about BIM among construction
players. By having a series of awareness programme to
disseminate the knowledge of BIM, it can convey the
benets that can be gained by implementing BIM to the
construction players. The private sector could take part
in this promotion roadshow because involvements from
private sector also play a signicant role in speeding up
the process of adoption and implementation of BIM in theMalaysian construction industry.
Besides the push from the government and BIM training
program, leadership of senior management (the third
most important factor with RII = 0.925) has a signicant
impact to accelerate the pace of BIM implementation in
the Malaysian construction industry. Gilligan & Kunz
[25] found that the resistance to change from the senior
management is one of the factors why some organisations
are reluctant to utilise information technologies. Among
their excuses are, to implement new technology they need
to change their current organisational structure and processand it could jeopardise their productivities. This happens
because the senior management do not really understand
Table 3: Rank of Driving Factors
Factors that could increase the pace of
implementing BIM in Malaysia
RII Overall Rank Rank in
Group
SD
External Push 0.805
1 Clients willing to pay extra for BIM implementation 0.488 19 9 0.711793
2 Promotion and awareness road show about BIM 0.892 5 3 0.8240623 Incentive given by client such as a tax reduction 0.842 7 5 0.92157
4 Provide a grant scheme for BIM training 0.904 4 2 0.850271
5 Support and enforcement in the implementation of
BIM by the government
0.950 1 1 0.437595
6 Clients provide pilot project for BIM 0.763 12 7 0.981884
7 Collaboration with universities (Research
collaboration and curriculum design for students)
0.879 6 4 0.916505
8 Clients demand the application of BIM in their
project
0.792 10 6 0.797825
9 BIM required by other project team members 0.733 13 8 0.952786
Internal Push 0.775
1 Development of BIM department within an
organisation to monitor the application of BIM
0.700 16 8 0.989305
2 Require/hire BIM specialist 0.721 15 7 0.983688
3 Requirement for staff to be BIM competent 0.608 18 10 0.742576
4 Outsourcing BIM specialist 0.842 8 3 0.92157
5 An organisational structure that supports BIM 0.792 11 5 0.797825
6 Standardise work procedure for BIM 0.733 14 6 0.952786
7 Technical support 0.800 9 4 0.71459
8 BIM training program 0.950 2 1 0.437595
9 Continuous investment in BIM 0.683 17 9 0.646869
10 Leadership of senior management 0.925 3 2 0.703336
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 7
how to manage technological change. Having a strong
support from senior management could ease the process of
migration at any organisation, because this action shows
the commitment of the organisation in adopting new
technology and it will motivate their workers to implement
it. OBrien [16] revealed that, some people have low self-
condence especially related with implementing new
technology because the lack of knowledge, therefore
motivation by the senior management could be one of the
factors to build up self-condence to motivate individuals
to use new technology applications.
The respondents also believe that local universities
could play a major role in promoting BIM by providing
curriculum or course related to BIM, for example.
This is why collaboration with universities (Research
collaboration and curriculum designed for students) is
one of the important factors that could increase the paceof implementing BIM with RII score of 0.879. Having
a curriculum or course related to BIM could give the
students an idea of what BIM is in the early stage and
can produce students who are ready with 3D parametric
model. As we know, BIM technology in Malaysia is really
new, therefore there are many opportunities for university
researchers to conduct research related to BIM and they
could collaborate with the industry to identifying the
needs and the area for exploration. Collaboration with
local universities in research and development can be
done through research grants which are provided by the
government such as Exploratory Research Grant (ERGS)
or Science Fund.
Fox & Hietanen [31] added, one of the factors
the organisations fail to realise about the benet of
implementing new technology is the lack of training
provided by the organisation for their staff, and the level
and type of training should be based on the needs of
the organisation or individuals within an organisation.
Training is one of the factors that could increase the pace
in adopting new Information Technology (IT). In addition,Eastman et al. [9] found out, it is hard to guarantee that each
person participating in the organisation has the required
technology and skill; therefore, the organisation could
establish a technical support group to cater these problems
and to solve any problems arise. This technical support
group could disseminate their knowledge among the staff
within an organisation and this activity could spread the
spirit of knowledge sharing among them. Therefore, the
respondents believe that by outsourcing BIM specialist
(RII = 0.842) and having technical support team (RII =
0.800), it can complement the training program providedby the organisations.
6.0 CONCLUSION
Many evidence show that Building Information Modelling
(BIM) can enhance the construction performance but the rate
of implementation of BIM in the Malaysian construction
industry has been at a slow pace. A number of factors
that contributes to this situation are identied such as (1)Lack of knowledge about BIM, (2) Clients do not request/
enforce BIM and (3) Reluctance from clients, contractors
or consultants to implement BIM. These issues need to be
addressed accordingly if the government wants to see the
Malaysian construction industry able to compete globally.
Besides that, supports from the government also play a
signicant role to increase the pace of BIM implementation
in the Malaysian construction industry. However, by just
having a strong support from the government alone is not
practical; therefore, the Malaysian construction players
such as clients, consultants and contractors must playtheir own role by shifting the paradigm from using the
traditional approach into a more innovative approach. To
do this, the Malaysian construction industry needs the BIM
implementation strategy and guide to ensure both parties:
the government and the industry players work together to
ensure the success in implementing BIM in Malaysia. It
can be concluded that the construction industry in Malaysia
needs to evolve by upgrading the current construction
approach, whether in terms of practice, management or
technology in order to meet the global standard.
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MODELLING (BIM) IN THE MALAYSIAN CONSTRUCTION INDUSTRY: A PRELIMINARY STUDY
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 9
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PROFILES
ZAHRIZAN ZAKARIAstarted his career as an Engineer for a contractor company for 5 years after obtaining his
BEng (Hons) in Civil Engineering from Universiti Teknologi Malaysia (UTM) in 1999. He gained his Master Degree
in Civil from Universiti Malaysia Pahang in 2007 and appointed as a lecturer at Faculty of Civil Engineering and Earth
Resources, Universiti Malaysia Pahang (UMP) since then. Currently he was continuing his study at UMP at PhD level
in the eld of IT in construction focusing on Building Information Modelling. His research interest is within the area
of Strategic Management of IT in Construction; Culture and organisational issues related to construction companies;
Managing change and IT implementation; Social aspects of urban regeneration and sustainability.
NASLY MOHAMED ALIwas appointed as a Professor at the Faculty of Civil Engineering and Earth Resources,
Universiti Malaysia Pahang (UMP) since 2003. Before she joins UMP, she was a professor at Faculty of Civil
Engineering, Universiti Teknologi Malaysia (UTM). She obtained her Diploma in Civil Engineering from UTM in
1977. After graduated she appointed as Assistant Lecturer UTM. In 1980, she gained her rst class BSc (Hons) Civil
Engineering from University of Strathclyde. She was being offered to continue her study in PhD majoring in structural
at University of Strathclyde and obtain her PhD in 1986. Because of her passion in information system, she enrols as a
Master Degree student majoring in Information Technology Management at UTM and obtained her master degree in
2002. Her research interest and expertise are within the area of application of information systems for the construction
application; managing change and IT implementation; Finite Elements; Structural dynamic (wind engineering and
earthquake engineering) and prefabricated building construction.
AHMAD TARMIZI HARONcurrently attached at the Faculty of Civil Engineering and Earth Resources, Universiti
Malaysia Pahang (UMP) as a senior lecturer. He obtained her rst degree in BEng (Hons) in Civil Engineering
majoring in Construction Management from Universiti Teknologi Malaysia in 2003. After that he is pursuing his
Master in Construction Management at Universiti Teknologi Malaysia and gained his Master Degree in 2005. After
graduated from Universiti Teknologi Malaysia, he serves as lecturer at Universiti Malaysia Pahang from 2005 until
2007 before continue his study in PhD at University of Salford. He obtained his PhD in Building Information Modelling
from University of Salford in 2013. His research interest and expertise are within the area of IT in construction,
construction management, Culture and organisational issues related to construction companies; Managing change
and IT implementation. He actives in involving with local construction working committee such as appointed by
CIDB Malaysia as External Independent Reviewer for CIDB BIM Access Portal and as Research and Technical
Committee for Building Information Modelling for Industrialised Building System which is appointed by CREAM
CIDB Malaysia.
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Z., ZAHRIZAN; NASLY, MOHAMED ALI; AHMAD, TARMIZI HARON;
AMANDA MARSHALL-PONTING; AND ZUHAIRI, ABD HAMID
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)10
ZUHAIRI ABD. HAMIDis the Executive Director of the Construction Research Institute of Malaysia (CREAM), a
research institute established under the Construction Industry Development Board (CIDB) which he joined in January,
2006. He has over 27 years of experience in the construction industry and started his professional career as a civil and
structural engineer with the Public Works Department of Malaysia in 1984. He has worked under various capacities
such as a road, bridge, building and district engineer, assistant director of planning, and a forensic and structural
design engineer. Later, in 1998 he joined CIDB as a senior manager at the Technology Development Division and was
then appointed to his current post at CREAM. He holds a B.Eng. (Hons.) Civil from Universiti Teknologi Malaysia, a
Masters Degree in Structural Dynamic Engineering from the Kanazawa University, Japan and a PhD in IT Construction
majoring in Healthcare Facilities Management from the University of Salford, United Kingdom. He is a Professional
Engineer (P.Eng.) in the Board of Engineers Malaysia, a Fellow of the Institution of Engineers, Malaysia (FIEM) and
also sits as a Board Member in the United Nation support International Research Council, CIB Conseil International
du Btiment (International Council for Research and Innovation in Building and Construction). He also serves as
construction industry advisor to UTM, UTHM, UNITEN, UPNM and UiTM.
AMANDA MARSHALL PONTINGcurrently attached at the School of Built Environment, University of Salford
as a senior lecturer. She obtained her rst degree in BSc (Hons) in Applied Psychology from Liverpool John Moores
University in 1999. She then gained her Master in Resources Informatics from University of Manchester in 2000 and
her PhD in nD modelling from University of Salford in 2006. Her actives in many international working committees
such developing Intel-City Roadmap Project and developing research links between the USA and the EU and funded
by the NSF (National Science Foundation, USA). Her research interest and expertise are within the area of application
of information systems in the Built Environment (GIS, VR, the internet, planning participation systems, multi-dimensional modelling); Culture and organisational issues related to construction companies; Managing change and
IT implementation; Social aspects of urban regeneration and sustainability.
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 11
Bifurcation Behaviour of the Buck Converter
(Date received: 11.05.13/Date accepted: 20.12.2013)
Ir. Dr Ng Kok Chiang*1, Dr Nadia Tan Mei Lin2, Dr Michelle Tan Tien Tien3
1
Leong Hing Sdn. Bhd., No. 1, Jalan P4/7, Seksyen 4, Bandar Teknologi Kajang, 43500 Kajang, Semenyih, Selangor, Malaysia2Universiti Tenaga Nasional, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia3The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor, Malaysia
*Corresponding author: [email protected]
ABSTRACT
The bifurcation and chaos phenomena appeared in power system have become a focus subject at present. It
has become apparent about a decade ago that power converters exhibit various types of non-linear behaviour
which includes all kinds of bifurcations and chaos. Even basic DC/DC converters exhibit bifurcation and chaos
phenomena as well as parallel-connected DC/DC converters and PFC system. The main source of such non-linearity
is the switching mechanism of the converters. Non-linear components of the converter circuit and control scheme
such as the use of naturally-sampled, constant-frequency PWM further contribute to the non-linear behaviour of
converters such as a DC-to-DC buck converter. Thus, all feedback controlled power converters exhibit certain
non-linear phenomena over a specic breadth of parameter values. Despite being commonly encountered by power
electronics engineers, these non-linear phenomena are by and large not thoroughly understood by engineers. This
paper examines the bifurcation behaviour of the buck converter in an ideal case when the input voltage is varied.
The computer simulation scheme, PSPICE is employed to model the behaviour of the ideal buck converter. For
certain values of the input voltage, Vininstability occurs. The analysis and conclusion presented in this paper will
provide an overview of the bifurcation behaviour of the DC-to-DC buck converter, aspiring to draw attention of the
power electronics and the circuits and systems communities to a eld that is not often researched and examined.
Keywords: Bifurcation, Chaos, Non-linear Behaviour, Buck Converter
1.0 INTRODUCTION
The mechanisms of bifurcation and chaos are so complex
that there is not a unied criterion to identify them.Bifurcation is also known as the emergence of a further
pattern of behaviour or string of states for a system. It
can be thought of as a qualitative change in an attractors
structure when a control parameter is smoothly changed.
The qualitative change is followed by a change of the
stability in the attractor too [1]. A simple example
would be that of a xed attractor that might cave in to a
periodic oscillation, and a periodic attractor that might
become unstable and be replaced with a chaotic attractor
when stress on the system is increased. Successive
bifurcations are normally attained when the value of somecharacteristic parameter is increased. An analogy would
be that of a person walking down the road. The longer the
distance he travels, the more side streets or other routes
appear. In other words, bifurcation establishes history.
Knowledge of the paths taken or not taken would be
required to identify the state of the system at any point in
time. The existence of bifurcations is unavoidable in the
realm of nonlinear dynamical systems, which is beyond
the territory of circuitry. Rich bifurcation phenomena can
be found in power systems. An example would be the
oscillations and bifurcations due to the movement of the
dynamics of an electric power network towards its stability
boundary when the user demand for power arrives at its
peaks. Voltage collapse would probably be unavoidable.
Bifurcations exist in mechanical systems too [1-5]. Hopf
bifurcation may be present when a road vehicle understeering control loses its stability. In the worst case, the
development of chaos and hyperchaos might take place.
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IR. DR NG KOK CHIANG, DR NADIA TAN MEI LIN AND DR. MICHELLE TAN TIEN TIEN
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)12
Period-doubling bifurcations which would ultimately lead
to chaos may be experienced by a hopping robot even if
it is just a simple two-degree-of-freedom, exible, robot
arm. Bifurcations may also occur when an aircraft stalls
due to over a critical angle-of-attack, or reduction of speed
to be below a critical speed happens while in ight [1, 2,
5]. Vibration or wave frequencies that approximate to the
natural frequency of the machine can cause bifurcations
in the dynamics of aero-engine compressors, vehicles and
ships. This could also lead to disasters if the oscillations
and chaotic motions created by the bifurcations are not
controlled. Bifurcations are also observed in various elds
such as chemistry, (for example, in chemical reaction
and uid dynamics), weather dynamics and biological
population dynamics [1, 3, 5].
Thus, from the discussion above, it can be said that
bifurcations are ever-present in most physical systemseven when subject to controls. In many nonlinear systems,
including some closed-loop systems which have feedback
controls, do exhibit all types of bifurcation. It is surprising
that local instability and complex dynamical behaviour
exist in such controlled systems but in actual fact, this
can happen due to the poles movement of the closed-
loop transfer function over the stability border when the
feedback means of the system is not robust enough [1].
The signal divergence caused due to the movement of
poles when the control progress continues may eventually
lead to some local self-excited oscillations, bifurcations
and even chaos instead of a global unboundedness.
The popular automatic gain control loops and all other
types of controlled and uncontrolled pendula would be
among others examples of controlled systems where
complex behaviour can be observed [1, 3-5]. The three
typical types of bifurcation which are known as the co-
dimension-one bifurcations are the stationary, Hopf and
period doubling bifurcations. Such bifurcations are termed
co-dimension-one bifurcation due to the fact that there
may exist a number of control parameters for which netuning is necessary to obtain the bifurcations intended.
A stationary bifurcation involves the crossing of a single
eigenvalue over the border of stability. Hopf bifurcations
on the other hand involve the crossing of a conjugate pair
over the border of stability. A limit cycle bifurcates in the
time-continuous case. The imaginary part of the crossing
pair gives the angular frequency of the bifurcations. In
the discrete case however, a quasiperiodic bifurcation
orbit is normally obtained [1]. The bifurcation which is
possible in the discrete dynamical systems and absent in
the continuous systems is known as the period doublingbifurcation. In this bifurcation, the border of stability is
crossed by a real eigenvalue at period-1, while a period-2
orbit bifurcates at a period-doubling bifurcation point
[6-10]. The simulations carried out in this study seek to
identify the bifurcation points where the crossing of the
border of stability occurs and the type of bifurcations that
occur in the buck converter.
2.0 METHODOLOGY
The PSPICE Model for this study The PSPICE schematic
of the closed-loop voltage feedback buck converter
used in this study is depicted in Figure 1. The circuit is
very similar to that proposed by Fossas and Olivar [6].
The changes made in this PSPICE circuit however are
the replacement of one of the comparators with a gain
of 8.4 in the Fossas and Olivars paper with an ideal
multiplier, and a difference comparator which forms the
error amplier circuit of the buck converter. The switchedbuck converter circuit in this study uses a PWM integrator
circuit. The PWM circuit consists of the wave generator,
the error amplier and an innite gain comparator. The
PWM controls the ideal switch, S1and is the most complex
part of the switched regulator of the buck converter [6].
All the components used in this PSPICE model are ideal
components. Both the switches S1and S
2have zero on and
innite off resistance, and can switch instantaneously.
Both the S1 and S
2 switches work in a complementary
manner. When S1is on, S
2will be off and the input voltage
supplies energy to the load resistance and the inductor. Onthe other hand, when S
2 is off and S
1 is on, the inductor
current decays while owing through the switch S2and at
the same time transfers some of the stored energy to the
load resistor. The output voltage is controlled by setting
the frequency of the sawtooth generator to be of constant
switching frequency and by altering the on-interval of the
switch. The switch ratio which can be characterised as the
ratio of the on-time to the switching period is changed
through the PWM switching. As the switches turn off and
turn on in a complementary way, instantaneously allowing
bi-directional current ow, the discontinuous conduction
mode can be assumed to be avoided. Such mechanisms of
the switches also cater for the existence of light load levels
[6, 8-10].
Procedures in Obtaining the Waveforms for Bifurcation
Behaviour The value of Vinas the bifurcation parameter
in the PSPICE model of the buck converter in Figure 1
is varied throughout the series of simulations carried out
to obtain the bifurcation waveforms. The simulations are
carried out with other circuit parameters held constant. The
xed value parameters which include the reference voltageV
ref, the load resistor R, the inductor L, the capacitor C,
switching frequencyfof the ramp generator, and the ramp
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BIFURCATION BEHAVIOUR OF THE BUCK CONVERTER
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 13
Figure 1: PSPICE Schematic of a Closed-loop Voltage Feedback DC-to-DC Buck Converter
upper and lower voltages are as summarised in the Table
1 below.
The input voltage Vinis varied from 20V to 40V and the
buck converter circuit is simulated at the different values
of Vin. The corresponding voltage and current waveforms
FFT spectrum, and trajectories (phase portrait diagrams)
are shown in the Discussion and Resultssection for all
cases from when the circuit started out in stable state
and progressed through to period-1, period-2, period-4,and thereafter to chaos via routes of period-doubling
bifurcation.
3.0 DISCUSSIONS AND RESULTS
In the present case, the output voltage is fed into an error
integrator. The difference comparator in the integrator
compares the output voltage with a reference voltage which
is chosen to be 11.3V. The difference between the two is
then input into the multiplier which would amplify the
output of the difference comparator by 8.4. A comparator
then compares the error integrator output voltage with
the output of the sawtooth generator. The switches S1and
S2are controlled by the output of the comparator. If the
magnitude of the sawtooth wave voltage is greater than
that of the error integrator output voltage, switch S1 is
turned on and switch S2is turned off. On the other hand,
when the sawtooth wave voltage is less than the integrator
output voltage, switch S1will be turned off and S2turnedon [6]. The output of the error integrator which has a gain
of 8.4 would be:
The discontinuous conduction mode does not occur, a
piecewise-linear vector eld described by two sets of
different differential equations can be used to represent
the buck converter modelled as in equations 2, 3, 4, and
5 [11-15].
i) Reference Voltage, Vref
11.3 V
ii) Load Resistor,R 22 ohm
iii) Inductor,L 20 mH
iv) Capacitor, C 47 F
v) Switching Frequency,f
(Period = 400 s)
2.5 kHz
vi) Ramp Upper Voltage, Vu 3.8 V
vii) Ramp Lower Voltage, VL
8.2 V
Table 1: Values of Fixed Circuit Parameters
of the Buck Converter
Equation 1vco
(t)= 8.4(v(t) Vref
)
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)14
When vco
(t) > vramp
(t)(i.e. S1is off and S2is on):
When vco
(t) < vramp
(t) (i.e. S1is on and S2is off):
where v is the voltage through the capacitor and I is the
intensity of the current in the inductor.
The sawtooth voltage is given by equation 6 below:
where VLand V
Uare the lower and upper voltages of the
sawtooth wave which are of the value 3.8V and 8.2V
respectively, and T is its period. The operation of the
buck converter can be seen from both points of view:autonomous system and nonautonomous system. Since the
sawtooth wave has an externally determined periodicity, it
is essentially a nonautonomous system.
The periodicity in this case would then be determined by
the number of triangular ramp wave cycles in a period
of the output waveform. Since the system of differential
equations is linear, the exact solution for each of the
differential equation is obtainable if the initial conditions
are set to be vo= v(t
o)and i
o= i(t
o).
Let and and given that:
The solution for the differential equations above would be
equations 7 and 8:
When vco
(t) > vramp
(t) (i.e. S1is off and S2is on):
When vco
(t) < vramp
(t) (i.e. S1is on and S2is off):
whereIis the identity matrix.
The input voltage Vinis chosen as the bifurcation parameter
for the study of the bifurcation behaviour of the buck
converter. The PSPICE model of the buck converter is
simulated for Vinbeing varied from 20V to 40V in steps
of 1V with the critical waveforms when changes occur.
Crucial information about the output voltage (which is
also the capacitor voltage), and the inductor current and
Fast Fourier Transform Spectrum are presented as follows
in their respective graphs.
When Vin= 20V, as can be seen from Figures 2 and3, the output voltage and the inductor current waveforms
in time domain are both periodic in nature, demonstrating
the period-1 stable operation of the buck converter. This
observation is further strengthened by its Fast Fourier
Transform (FFT) Spectrum shown in Figure 4 where
narrowband, discontinuous and isolated frequency
harmonics can be seen. As for the trajectory or the phase
portrait when Vin is equal 20V in Figure 5, a normal
period-1 loop is noticed [16-24].
The system continues to show period-1 behaviour
until Vinreaches 28V. At V
in= 28V, the system starts to
bifurcate into a period-2 domain. It can be clearly observed
from the output voltage waveform, the inductor current
waveform and the FFT spectrum waveforms in Figures
6, 7, and 8 respectively, where little hiccups can be seen
in the voltage output and the inductor current waveforms.
Moreover, the trajectory or the phase portrait when Vinis
equal to 28V shown in Figure 9 shows a two-branch loop
of a period-2 attractor [21, 23].
The period-2 bifurcation only lasted for a narrow range
of Vinvalue up to 32V. Beyond and including the thresholdof V
in= 32V, a period-4 bifurcation occurs. From the output
voltage waveform and the inductor current waveform that
are depicted in Figures 10 and 11, show the hiccups when
Vin= 28V to be worse here. However, the waveforms still
follow a general form of repetition [22]. The trajectory
has now bifurcated into a period-4 portrait where a double
image of the period-2 trajectory is observed as in Figure
13. Period-8 bifurcation lasts for the smallest range of Vin
values from Vin= 32.35V to V
in= 33V. Period-8 bifurcation
waveforms which is observed when Vinis set to be 32.35V
can be seen in Figures 14 to 17.
Equation 2
Equation 3
Equation 4
Equation 5
Equation 6vramp
(t) = VL+ (V
U V
L) t/T
Equation 7
Equation 8
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BIFURCATION BEHAVIOUR OF THE BUCK CONVERTER
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 15
Figure 2: Output Voltage, VCat V
in= 20V
Figure 3: Inductor Current, ILat V
in= 20V
Figure 4: FFT Spectrum at Vin= 20V
Figure 5: Trajectory when Vin= 20V
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)16
Figure 6: Output Voltage, VCat V
in= 28V
Figure 7: Inductor Current, ILat V
in= 28V
Figure 8: FFT Spectrum at Vin= 28V
Figure 9: Trajectory when Vin= 28V
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BIFURCATION BEHAVIOUR OF THE BUCK CONVERTER
Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014) 17
Figure 10: Output Voltage, VCat V
in= 32V
Figure 11: Inductor Current, ILat V
in= 32V
Figure 12: FFT Spectrum at Vin= 32V
Figure 13: Trajectory when Vin= 32V
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)18
Figure 14: Output Voltage, VCat V
in= 32.35V
Figure 15: Inductor Current, ILat V
in= 32.35V
Figure 16: FFT Spectrum at Vin= 32.35V
Figure 17: Trajectory when Vin= 32.35V
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Figure 18: Output Voltage, VCat V
in= 33V
Figure 19: Inductor Current, ILat V
in= 33V
Figure 20: FFT Spectrum at Vin= 33V
Figure 21: Trajectory when Vin= 33V
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Journal The Institution of Engineers, Malaysia (Vol. 75, No. 1, June 2014)20
Figure 22: Output Voltage, VCat V
in= 40V
Figure 23: Inductor Current, ILat V
in= 40V
Figure 24: FFT Spectrum at Vin= 40V
Figure 25: Trajectory when Vin= 40V
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At Vin = 33V, the operation of the buck converter
moves into the chaotic region. Random, unsymmetrical
disjoint and aperiodic nature is evident in the waveforms
of the output voltage and the inductor current of the buck
converter as in Figures 18 and 19. The output voltage and
the inductor current waveforms do not follow a specic
form of repetition and are of random structures [24-28].
Furthermore, the Fast Fourier Transform Spectrum in
Figure 20, which has a continuous and broadband nature,
further emphasises that the buck converter is now operating
in the chaotic region. The trajectory however, exhibits a
strange attractor which signies chaotic behaviour [16,
18-20, 25-27]. Figure 21 shows the chaotic waveform
corresponding to Vin = 33V. To conrm that the buck
converter continues to operate in the chaotic region after
Vin= 33V, simulations when V
in= 40V was carried out
and as expected, the results obtained as depicted in Figures22 to 25 point to operation of the buck converter in the
chaotic domain.
4.0 CONCLUSION
Being one of the simplest of the DC-to-DC converters, the
buck converter is chosen to be the subject of this study
because of its widespread representation of the circuit
to many practical DC-to-DC converters. Also, due to
its extensive applications in industrial and engineering
applications, the knowledge of the system behaviour indifferent regions of parameter space should be crucial,
especially in designing the buck converter for sensitive
equipment. The bifurcation phenomenon and chaos in
the voltage mode controlled buck converter has been
investigated with the modelling and simulation of the buck
converter in PSPICE in this study. It has been found that
the buck converter system experiences the normal period
doubling bifurcations leading to a stepwise transition from
period-1 behaviour to chaos. Figures 5, 9, 13, 17, and 21
are phase portrait diagrams which show the progression of
the change from period-1 to period-2, period-4, period-8,
and lastly to chaotic operation of the buck converter
when Vin is varied from 20V to 33V. For low values of
the input voltage, the system is periodic, but as the input
voltage is increased the system bifurcates into period-2
orbit and subsequently into period-4 and period-8 orbits
when the input voltage is increased further. When border
collision occurs at a much higher input voltage, the system
inevitably moves into the chaotic region. The bifurcation
pathway that is observed involves that of smooth period
doubling. Period doubling bifurcation concerns the breakof symmetry as can be seen in the trajectory waveforms. It
is also known as the sudden appearance of a qualitatively
different behaviour when a parameter of the circuit is
changed. When period doubling recurs, an innite period
will ultimately lead to chaos. If bifurcations are under
appropriate control, they can be both important and
benecial.
There are still much to be pursued both in the study
of the non-linear behaviour of power electronics and the
development of more effective control strategies for these
behaviours. Following this study for example, future
work needs to be done on investigating the bifurcation
behaviour of the buck converter when other parameters
besides Vinare varied. Other parameters in the circuit such
as the load resistance,R, the inductance,L, the capacitor C,
the switching frequency,fand the amplitude of the ramp
voltage should be varied so as to enable the study of non-
linear effects they might have on buck converter operation.
The ultimate goal of all these studies on the non-linear
behaviour of the DC-to-DC converters is to gain adequateinformation and understanding of the system behaviour for
better design, functionality, reliability and performance of
the converters when operating in unstable modes or even
chaotically.
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PROFILES
NG KOK CHIANGgraduated from the University of Western Australia with rst class honours in Bachelor of
Engineering in Electrical & Electronics and Bachelor of Commerce majoring in Accounting, Investment Finance
(Derivatives), and Managerial Accounting. He then furthered his studies to the University of Nottingham, UK and
graduated with a PhD in Engineering having worked in the area of renewable energy and its storage for three and
a half years. Ir. Dr Ng Kok Chiang in his course of research and work had liaised with various organisations such
as E.ON (Power and Gas), Lockheed Martin, Jaguar/Land Rover (supercapacitors in automotive industry/electric
cars), Battelle (lab management and commercialisation), Malaysia Rubber Board (energy management, articial
intelligent, control, and electronics), and MOSTI (Fabrication of Advanced Supercapacitors). He is currently the
Chief Technology Ofcer of MyBig Sdn. Bhd. and a Professional Engineer with the R&D Centre at Leong Hing Sdn.
Bhd. involved in research and prototyping projects in collaboration with various Malaysian Government Agencies
and research bodies. Among the prominent solutions founded were the advanced switching mechanism in the Nexcap
storage to efciently capture minuscule trickle of charges, intelligent control systems incorporating power electronics
device, and the advanced Sunopy solar system.
NADIA TAN MEI LINwas born in Kuala Lumpur, Malaysia. She received the B.Eng. (Hons.) degree from the
University of Shefeld, Shefeld, U.K., in 2002, the M.Eng. degree from Universiti Tenaga Nasional, Kajang,
Malaysia, in 2007, and the Ph.D. degree from Tokyo Institute of Technology, Tokyo, Japan, in 2010, all in electrical
engineering. Since October 2010, she has been a Senior Lecturer in the Department of Electrical Power Engineering,
Universiti Tenaga Nasional. Her current research interests include power conversion systems and bidirectional
isolated dc-dc converters. Dr Tan is a Graduate Member of the Institution of Engineers, Malaysia (IEM), a Member
of the Institution of Engineering and Technology (IET), and a Member of the Institute of Electrical and Electronics
Engineers (IEEE).
MICHELLE TAN TIEN TIENis an Assistant Professor in the Department of Electrical & Electronic Engineering at
the University of Nottingham Malaysia Campus. She received her BEng. degree in Electrical & Electronic Engineeringat Swansea University, Wales, UK where she also completed her PhD on using one dimensional Zinc Oxide nanowires
for bio-sensing application. Michelles current research focuses on the synthesis and characterisation of nanomaterials
for bio-sensing applications, with emphasis on graphene, metal oxide and graphene/metal oxide composites. Besides
that, her research also focuses on incorporating graphene composites for application in critical and hard environments,
such as aerospace applications, of which is currently funded by the Ministry of Science Technology & Innovation
(MOSTI), Malaysia.
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Novel Bimetallic Tin-Manganese Oxides/Carbon NanotubeNanocomposite and Their Charge Storage Properties
(Date received: 20.09.2013/Date accepted: 05.05.2014)
Ir. Dr Ng Kok Chiang*1, Ms. Siew Shee Lim2, Dr Chuang Peng3
1R&D Centre, Leong Hing Sdn. Bhd., No.1, Jalan P4/7, Seksyen 4, Bandar Teknologi Kajang,
43500, Semenyih, Selangor, Malaysia2Department of Chemical and Environmental Engineering, Faculty of Engineering, University of No