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To Develop Mathematical Models For Power Losses Along Transmission Lines And To Minimize The Losses Using Classical Optimization Techniques
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(Crombie, 2006), to
mention a few, various researchers have also worked on the flow of power
on electrical networks. (Pandya, 2008) presents a comprehensive survey
of various optimization methods for solving optimal power flow problems.
The methods considered in the work include linear programming,
Newton-Raphson, quadratic programming, nonlinear programming, interior
point and artificial intelligence. Under the artificial intelligence
method, the following were also considered artificial neural network
method, fuzzy logic method, genetic algorithm method, evolutionary
programming method, ant colony optimization method and particle swarm
optimization method. It was found in the paper that the classical
methods have a lot of limitations. In most cases, mathematical
formulations have to be simplified to get the solutions because of the
extremely limited capability to solve real-world large-scale power
system problems. The classical methods are weak in handling qualitative
constraints and they have very poor convergence. The methods are also
very slow and computationally expensive in handling large-scale optimal
power flow problems. It was also discovered in the paper that the
artificial intelligence methods are relatively versatile for handling
various qualitative constraints and that the methods can find multiple
optimal solutions in a single simulation.
They are therefore suitable
in solving multi-objective optimization problems.(William, 2002) looked
at alternative optimal power flow formulations while(Claudio et al.,
2001) worked on comparison of voltage security constraint using optimal
power flow techniques.
(Roya et al., 2008) considered power flow
modelling for power systems with dynamic flow controller. Other
researchers who also worked on power flow include (Bouktir et al.,
2004).
In addition, several researchers have also worked on electric
power systems. (Aderinto, 2011) worked on an optimal control model of
the electric power generating system. In the research work, she
developed a mathematical model for the electric power generating system
using the optimal control approach and characterized the mathematical
model by prescribing the conditions for the optimality of the electric
power generating system and the analytic requirements for the existence
and uniqueness of the solution to the system. The optimality condition
for the model was determined and the model was solved analytically and
numerically. In the study, two control variables were identified, the
first for load shedding among the generators in the system and the
second for restriction on the capacity of the generators. The problem
was formulated based on the second control variable since the first
control variable can only be on or off as the case may be. The
optimality conditions for the system were imposed implicitly on the
controls and the mathematical model represents a stable loss-free
generating system. From the work, it was shown that the generation loss
can be controlled and stabilized. (Oke et al., 2007) considered the
perspectives on electricity supply and demand in Nigeria while (Ibe,
2007)looked at optimized electricity generation in Nigeria. (Bamigbola,
2009)characterized an optimal control model of electric power generating
system.(Karamitsos, 2006) considered an analysis of blackout for
electric power transmission systems while (Aderinto et al., 2010) looked
at optimal control of air pollution with application to power
generating system model. Others whose researches touched on electric
power systems include (Savenkov, 2008) to list a few. As such, much
emphasis has been on proper design of electrical power systems and
reduction of losses using feeder reconfiguration and evolutionary
techniques.
Loss minimization is a critical component for efficient electric power supply systems.
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ABSRACT - [ Total Page(s): 1 ]Availability of electric power has been the most powerful vehicle for facilitating economic, industrial and social developments of any nation. Electric power is transmitted by means of transmission lines which deliver bulk power from generating stations to load centres and consumers. For electric power to get to the final consumers in proper form and quality, losses along the lines must be reduced to the barest minimum. A lot of research has been carried out on analysis and computation of losses ... Continue reading---
