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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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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 on transmission lines using reliability indices, but hardly any on the minimization of losses using analytical methods. In another vein, a large body of literature exists for the solution of optimal power flow problems using evolutionary methods, but none of them has employed the versatile tool of mathematical modelling.
Thus, the goal of this work is to use the classical optimization approach coupled with the mathematical modelling technique to minimize the transmission power losses. Specifically, the objectives of the study were to:
(i.) develop mathematical models for power flow and power losses along electric power transmission lines and solve the mathematical models for electric power flow along transmission lines using an analytical method; (ii.) develop empirical models of power losses as functions of distance; and (iii.) minimize the power losses using the classical optimization technique.
In the research, I employed Kirchoff ’s circuit laws and a combination xiii of corona and ohmic losses in obtaining the mathematical models for the power flow and power losses respectively. Empirical models of the power losses were developed using regression analysis.
The findings of this study were:
(i.) the models for power flow along transmission lines evolved as homogeneous second-order partial differential equations which were solved analytically using the method of Laplace transform; (ii.) the model for power losses over the transmission lines was obtained as the sum of the ohmic and corona losses; (iii.) the empirical models developed are monotonic increasing functions of distance. Thus, establishing that power losses increases with distance; (iv.) power losses are minimized when the operating transmission voltage is equal to the critical disruptive voltage.
With the above results, a workable strategy can be formulated to reduce to the barest minimum electric power losses along transmission lines so as to ensure availability of electric power, in proper form and quality, to consumers.
Hence, this research work has addressed the problem of minimizing electric power losses during transmission.
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CHAPTER ONE - [ Total Page(s): 3 ]Losses
in an electric power system should be around 3 percent to 6
percent,(Ramesh et al., 2009). In developed countries, it is not greater
than 10 percent. However, in developing countries it is still over 20
percent, (Ramesh et al., 2009). Therefore stakeholders in the power
sector are currently interested in reducing the losses on electric power
lines to a desired and economic level. The purpose of this research
work, therefore, is to develop mathematical models for power losses ... Continue reading---
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CHAPTER ONE - [ Total Page(s): 3 ]Losses
in an electric power system should be around 3 percent to 6
percent,(Ramesh et al., 2009). In developed countries, it is not greater
than 10 percent. However, in developing countries it is still over 20
percent, (Ramesh et al., 2009). Therefore stakeholders in the power
sector are currently interested in reducing the losses on electric power
lines to a desired and economic level. The purpose of this research
work, therefore, is to develop mathematical models for power losses ... Continue reading---
ABSRACT -- [Total Page(s) 1]
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ABSRACT -- [Total Page(s) 1]
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