Abstract:
This paper presents a new hybrid approach integrating the cross-entropy (CE) algorithm and the sequential quadratic programming (SQP) technique to solve the economic load...Show MoreMetadata
Abstract:
This paper presents a new hybrid approach integrating the cross-entropy (CE) algorithm and the sequential quadratic programming (SQP) technique to solve the economic load dispatch (ELD) problem related to electrical power generating units. Due to the introduction of the valve-point effect in the ELD objective function, the optimization task requires tools appropriate for a nonconvex optimization landscape. In this respect, we employ the CE approach, which constructs a random sequence of solutions probabilistically converging to a near-optimal solution and, thus, facilitating the exploration capability. Additionally, to fine-tune the solution in promising basins of attraction, the SQP algorithm is invoked, which performs a local search. Despite its reliance on a global heuristic scheme, CE-SQP is vested with fast convergence capability, which may entail its use for online power dispatch. The effectiveness and the robustness of the proposed method in comparison with several state-of-the-art approaches have been demonstrated with four standard test systems that are widely reported in the ELD literature.
Published in: IEEE Systems Journal ( Volume: 9, Issue: 3, September 2015)
Funding Agency:

Karunya University, Coimbatore, India
M. S. P. Subathra received the B.E. degree in electrical and electronics
engineering and the M.E. degree in power systems from Thiagarajar College of Engineering, Madurai, India, in 1995 and
1997, respectively. She is currently working toward the Ph.D. degree in Karunya University, Coimbatore, India.
She is also currently an Assistant Professor with the Department of Electrical and Electronics Engineering, Karunya
Univ...Show More
M. S. P. Subathra received the B.E. degree in electrical and electronics
engineering and the M.E. degree in power systems from Thiagarajar College of Engineering, Madurai, India, in 1995 and
1997, respectively. She is currently working toward the Ph.D. degree in Karunya University, Coimbatore, India.
She is also currently an Assistant Professor with the Department of Electrical and Electronics Engineering, Karunya
Univ...View more

Department of Mathematical Engineering, Université catholique de Louvain, Louvain-la-Neuve, Belgium
S. Easter Selvan received the B.E. degree in electronics and
communication engineering from the Government College of Engineering, Tirunelveli, India, in 1988, the M.E. degree in
applied electronics from Bharathiar University, Coimbatore, India, in 2001, and the Ph.D. degree in multispectral
satellite image analysis from Université de la Méditerranée, Marseille, France, in 2007.
From 2008 to 2010, he was a Postdoctoral...Show More
S. Easter Selvan received the B.E. degree in electronics and
communication engineering from the Government College of Engineering, Tirunelveli, India, in 1988, the M.E. degree in
applied electronics from Bharathiar University, Coimbatore, India, in 2001, and the Ph.D. degree in multispectral
satellite image analysis from Université de la Méditerranée, Marseille, France, in 2007.
From 2008 to 2010, he was a Postdoctoral...View more

Department of Electrical Engineering, Anna University Regional Centre, Coimbatore, India
T. Aruldoss Albert Victoire was born on September 3, 1976. He received
the B.Tech. degree from Pondicherry University, Pondicherry, India, the M.E. degree from Madurai Kamaraj University,
Madurai, India, and the Ph.D. degree from Anna University, Chennai, India, in 1998, 2000, and 2005, respectively, all
in electrical engineering.
He is currently an Associate Professor with the Department of Electrical and Electronics ...Show More
T. Aruldoss Albert Victoire was born on September 3, 1976. He received
the B.Tech. degree from Pondicherry University, Pondicherry, India, the M.E. degree from Madurai Kamaraj University,
Madurai, India, and the Ph.D. degree from Anna University, Chennai, India, in 1998, 2000, and 2005, respectively, all
in electrical engineering.
He is currently an Associate Professor with the Department of Electrical and Electronics ...View more

Karunya University, Coimbatore, India
A. Hepzibah Christinal received the B.Sc. degree and the M.Sc. degree in
mathematics from Madras University, Chennai, India, in 1993 and 1995, respectively, and the Ph.D. degree from
Universidad de Sevilla, Sevilla, Spain, in 2012.
She is currently an Associate Professor with the School of Science and Humanities, Karunya University, Coimbatore,
India. Her research interests include membrane computing, algebraic topolog...Show More
A. Hepzibah Christinal received the B.Sc. degree and the M.Sc. degree in
mathematics from Madras University, Chennai, India, in 1993 and 1995, respectively, and the Ph.D. degree from
Universidad de Sevilla, Sevilla, Spain, in 2012.
She is currently an Associate Professor with the School of Science and Humanities, Karunya University, Coimbatore,
India. Her research interests include membrane computing, algebraic topolog...View more

Istituto per le Applicazioni del Calcolo “Mauro Picone”–Sede di Napoli, Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, Napoli, Italy
Umberto Amato was born in Naples, Italy, in 1958. He received the M.Sc.
degree in physics from the University of Naples, Naples, Italy, in 1981.
From 1981 to 1984, he was a Researcher with the Company for Energy Saving (APRE), Naples. He was a High School
Professor until 1986, when he joined, as a Researcher, the Institute for Mathematics Applications (IAC), Italian
National Research Council (CNR), Naples, where he is ...Show More
Umberto Amato was born in Naples, Italy, in 1958. He received the M.Sc.
degree in physics from the University of Naples, Naples, Italy, in 1981.
From 1981 to 1984, he was a Researcher with the Company for Energy Saving (APRE), Naples. He was a High School
Professor until 1986, when he joined, as a Researcher, the Institute for Mathematics Applications (IAC), Italian
National Research Council (CNR), Naples, where he is ...View more

Karunya University, Coimbatore, India
M. S. P. Subathra received the B.E. degree in electrical and electronics
engineering and the M.E. degree in power systems from Thiagarajar College of Engineering, Madurai, India, in 1995 and
1997, respectively. She is currently working toward the Ph.D. degree in Karunya University, Coimbatore, India.
She is also currently an Assistant Professor with the Department of Electrical and Electronics Engineering, Karunya
University. Her research interests concern optimization techniques, power system operation and control, and renewable
energy technologies.
M. S. P. Subathra received the B.E. degree in electrical and electronics
engineering and the M.E. degree in power systems from Thiagarajar College of Engineering, Madurai, India, in 1995 and
1997, respectively. She is currently working toward the Ph.D. degree in Karunya University, Coimbatore, India.
She is also currently an Assistant Professor with the Department of Electrical and Electronics Engineering, Karunya
University. Her research interests concern optimization techniques, power system operation and control, and renewable
energy technologies.View more

Department of Mathematical Engineering, Université catholique de Louvain, Louvain-la-Neuve, Belgium
S. Easter Selvan received the B.E. degree in electronics and
communication engineering from the Government College of Engineering, Tirunelveli, India, in 1988, the M.E. degree in
applied electronics from Bharathiar University, Coimbatore, India, in 2001, and the Ph.D. degree in multispectral
satellite image analysis from Université de la Méditerranée, Marseille, France, in 2007.
From 2008 to 2010, he was a Postdoctoral Fellow with the Bioimaging and Biostructure Institute, Italian National
Research Council, Naples, Italy. Since 2010, he has been a Postdoctoral Fellow with the Department of Mathematical
Engineering, Université catholique de Louvain, Louvain-la-Neuve, Belgium. His research focus encompasses
statistical signal processing, blind source separation, medical image analysis, optimization on matrix manifolds,
machine learning, and bioinspired computing.
S. Easter Selvan received the B.E. degree in electronics and
communication engineering from the Government College of Engineering, Tirunelveli, India, in 1988, the M.E. degree in
applied electronics from Bharathiar University, Coimbatore, India, in 2001, and the Ph.D. degree in multispectral
satellite image analysis from Université de la Méditerranée, Marseille, France, in 2007.
From 2008 to 2010, he was a Postdoctoral Fellow with the Bioimaging and Biostructure Institute, Italian National
Research Council, Naples, Italy. Since 2010, he has been a Postdoctoral Fellow with the Department of Mathematical
Engineering, Université catholique de Louvain, Louvain-la-Neuve, Belgium. His research focus encompasses
statistical signal processing, blind source separation, medical image analysis, optimization on matrix manifolds,
machine learning, and bioinspired computing.View more

Department of Electrical Engineering, Anna University Regional Centre, Coimbatore, India
T. Aruldoss Albert Victoire was born on September 3, 1976. He received
the B.Tech. degree from Pondicherry University, Pondicherry, India, the M.E. degree from Madurai Kamaraj University,
Madurai, India, and the Ph.D. degree from Anna University, Chennai, India, in 1998, 2000, and 2005, respectively, all
in electrical engineering.
He is currently an Associate Professor with the Department of Electrical and Electronics Engineering, Anna
University Regional Centre, Coimbatore, India. His research interests include developing hybrid intelligent
optimization algorithms to be applied in power system operation and control, data mining, microarray classification,
and scheduling problems from diverse domains of engineering.
T. Aruldoss Albert Victoire was born on September 3, 1976. He received
the B.Tech. degree from Pondicherry University, Pondicherry, India, the M.E. degree from Madurai Kamaraj University,
Madurai, India, and the Ph.D. degree from Anna University, Chennai, India, in 1998, 2000, and 2005, respectively, all
in electrical engineering.
He is currently an Associate Professor with the Department of Electrical and Electronics Engineering, Anna
University Regional Centre, Coimbatore, India. His research interests include developing hybrid intelligent
optimization algorithms to be applied in power system operation and control, data mining, microarray classification,
and scheduling problems from diverse domains of engineering.View more

Karunya University, Coimbatore, India
A. Hepzibah Christinal received the B.Sc. degree and the M.Sc. degree in
mathematics from Madras University, Chennai, India, in 1993 and 1995, respectively, and the Ph.D. degree from
Universidad de Sevilla, Sevilla, Spain, in 2012.
She is currently an Associate Professor with the School of Science and Humanities, Karunya University, Coimbatore,
India. Her research interests include membrane computing, algebraic topology, image processing, and optimization
techniques.
A. Hepzibah Christinal received the B.Sc. degree and the M.Sc. degree in
mathematics from Madras University, Chennai, India, in 1993 and 1995, respectively, and the Ph.D. degree from
Universidad de Sevilla, Sevilla, Spain, in 2012.
She is currently an Associate Professor with the School of Science and Humanities, Karunya University, Coimbatore,
India. Her research interests include membrane computing, algebraic topology, image processing, and optimization
techniques.View more

Istituto per le Applicazioni del Calcolo “Mauro Picone”–Sede di Napoli, Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, Napoli, Italy
Umberto Amato was born in Naples, Italy, in 1958. He received the M.Sc.
degree in physics from the University of Naples, Naples, Italy, in 1981.
From 1981 to 1984, he was a Researcher with the Company for Energy Saving (APRE), Naples. He was a High School
Professor until 1986, when he joined, as a Researcher, the Institute for Mathematics Applications (IAC), Italian
National Research Council (CNR), Naples, where he is currently the Director of Research and the Manager. He has
coauthored nearly 100 peer-reviewed papers in international journals. His current research interests include the
development of statistical methods for nonparametric regression, classification, and dimension reduction applied to
problems arising from remote sensing (analysis of images measured by sensors on board aircrafts or satellites) and
medicine (magnetic resonance imaging).
Umberto Amato was born in Naples, Italy, in 1958. He received the M.Sc.
degree in physics from the University of Naples, Naples, Italy, in 1981.
From 1981 to 1984, he was a Researcher with the Company for Energy Saving (APRE), Naples. He was a High School
Professor until 1986, when he joined, as a Researcher, the Institute for Mathematics Applications (IAC), Italian
National Research Council (CNR), Naples, where he is currently the Director of Research and the Manager. He has
coauthored nearly 100 peer-reviewed papers in international journals. His current research interests include the
development of statistical methods for nonparametric regression, classification, and dimension reduction applied to
problems arising from remote sensing (analysis of images measured by sensors on board aircrafts or satellites) and
medicine (magnetic resonance imaging).View more