Abstract:
Global electricity demand in the developing countries is expected to triple by 2030, as
it will rise by over 4% per year. The share of global electricity demand in developing
countries is expected to be 43% in 2030. To meet this increase in demand, a capital
investment of US $16.4 trillion globally and US $5 trillion in developing countries is required
for the development of power sector. Electricity sector of India has undergone radical
development in the past decade, particularly with the Electricity Act 2003 coming into force.
The industrial and economic development in the country poses a continuous ever increasing
demand for electricity. The peak demand in India has been projected as about 200 GW and
284 GW in 2017 and 2021, with corresponding energy requirements of 13, 54,874 and 19,
04,861 million units respectively. With an installed capacity of 258 GW, the present peak
demand is about 135 GW and the peak demand met is 129 GW with an average deficit of
about 10%. One of the major reasons for not meeting the peak demand is the lack of proper
transmission infrastructure. Transmission lines play a vital role in the successful and stable
operation of the power system network. The present transmission and distribution corridor
length in India is about 89, 70,112 circuit kilometers.
To meet the ever rising energy demand, the generation and transmission capacity
additions are to be planned and executed simultaneously. Most of the power is generated from
conventional power stations utilizing fossil and nuclear fuels, which are probably located
away from the load centers due to environmental constraints. The most convenient means of
transporting electrical energy in such a scenario is the use of transmission lines. The design
and construction of these lines is a very complex process as several design parameters having
complex interactions among themselves and in terms of their effect on overall system cost has
to be selected. Any delay in constructing new transmission lines will under utilize the
generation facilities and investment. Construction of transmission lines involves heavy
investment and hence, a careful analysis needs to be carried out at the planning stage in order
to take investment decisions. There is a need for assessing and optimizing the cost of these
lines based on scientific principles as compared to those adopted conventionally based on
availability of standard designs and line designer’s experience. Also, the extension of grid to
remote energy sources has to be done to fully exploit the generation diversity and to take
advantage of the dispersed generation resources. Uttarakhand, a Himalayan state in India has
rich source of renewable energy generation particularly small hydro power (SHP) as well as
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conventional large hydropower. There is an immediate requirement for constructing a power
evacuation system of the order of 6,000 to 6,500 MW of ongoing generation projects in
various river basins of the state. Development of transmission lines in this region will help in
grid extension to these energy resources as well as in meeting the peak power demand.
Literature survey reveals that earlier studies were conducted on design and planning,
optimization of transmission line components such as conductor and tower and economic
analysis of transmission lines. The uncertainties involved in transmission lines planning and
construction are becoming larger and larger and certainly new methods need to be developed
for analysis. Based on the literature review, following research gaps are identified.
i) Very few studies are available in the literature to find out the capital investment for
construction of power transmission lines. For successful execution and timely
commissioning of the power transmission lines, it is essential to predict the cost
involved.
ii) Methodologies or models are not available in the literature for optimizing the capital
cost of power transmission lines.
iii) It is found that a two stage procedure has been reported which involves designing the
transmission lines in two stages independently. Design of conductor in the first stage
and design of other components in second stage. There is a scope for modification in
this methodology.
iv) Most of the earlier researches were concentrated on only one component i.e. conductor
and very few studies were available on other components and cost influencing
parameters.
Based on the literature review and identified gaps in research as discussed above, it is
found that lot of studies were carried out to analyze the cost for power transmission lines.
However, no study has been reported on cost analysis specifically for transmission of power in
hilly regions. In India lot of hydropower potential exists in hilly regions, where the economics
for developing large and small hydro power plants is very much dependent on the availability
of transmission lines. Therefore, there is a need to analyze and optimize the transmission line
costs in hilly areas. Keeping this in view, the present study is proposed with the following
objectives,
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i) To select hilly region representing different terrain conditions in order to identify
different parameters of transmission lines.
ii) To work out the design of transmission line components for the selected region.
iii) To determine and analyze the costs of the components.
iv) To investigate the sensitivity of the site conditions on the cost.
v) To establish the correlations for cost influencing parameters in terms of their design
variables and optimize the costs under different conditions.
In order to achieve the above mentioned objectives, an attempt has been made to
develop a methodology for cost assessment of transmission lines so as to determine the
techno-economic viability for investment decision before undertaking detailed investigations.
The cost of transmission lines is site specific based on conditions prevailing en route in which
the line traverses. The basic components of transmission lines are broadly categorized into
three parts (i) electrical (ii) mechanical and (iii) civil. Electrical components consist of
conductor, earthwire and insulators. Tower and accessories form the mechanical components,
while foundations form the major civil component. In the present study, tower, conductor and
energy losses are considered as major cost influencing parameters to carry out detailed cost
analysis.
The line design is influenced by a number of factors which depend on terrain,
geographic and atmospheric conditions of the region in which the line operates. The design of
a transmission line is highly site specific and is carried out based on the guidelines provided
by various national and international standards. Based on the conditions existing in the
selected region, three phase double circuit high voltage lines in the order of 132 kV, 220 kV
and 400 kV were considered for evacuation of power generated from proposed hydro power
generating stations and other renewable energy sources. The design of tower was carried out
using tower design and analysis software. For a given set of input design parameters, a set of
loading conditions applicable on the tower are generated. Based on the standard galvanized
steel member sections available commercially, towers were designed for minimum weight
which are capable of providing the specified electrical clearances and withstand the applicable
loadings and allowable stresses. The cost of transmission line towers depends on the weight of
structural steel required for fabrication of towers and the total number of towers in a given line
length. It has been identified that transverse load, longitudinal load, vertical load, height of the
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tower and base width are the major design parameters affecting the tower weight and hence,
correlations for tower weight were obtained in terms of these variables.
The cost of the conductor depends on the weight of conductor, circuit kilometer length,
number of circuits, number of phases and number of sub conductors per phase. Conductor
weight is dependent on its diameter and the circuit kilometer length depends on span, unit
weight of conductor and conductor tension. Hence, correlations have been developed for
estimating conductor weight and conductor tension in terms of its diameter. The cost of
energy losses depends on the resistance of the conductor and the current flowing through it.
Correlations for conductor resistance have been developed in order to estimate the amount of
energy losses occurring on the line annually and its corresponding cost. The data obtained
from the correlations were compared for accuracy with the data obtained from
manufacturers/power transmission utilities. A maximum deviation of ±3% has been found for
132 kV and 220 kV transmission line tower weights. The maximum deviation for 400 kV
transmission line tower weight is observed to be within ±5% and for conductor parameters the
maximum deviations of ±10%, ±8% and ±5% are found for conductor weight, tension and
resistance respectively.
The total cost of transmission line has been computed based on the correlations
developed for quantities of major items and the prevailing rates. Genetic Algorithms (GA)
based technique has been employed to work out the optimum cost for the lines under
consideration. The total cost of the transmission line project depends on the cost tower, cost of
conductor, cost of energy losses and cost of miscellaneous items and other indirect cost.
Establishment related cost including engineering design, audit and account, indirect charges,
tools and plants, preliminary expenses on report preparation, survey and investigations were
considered under miscellaneous and indirect costs. The total cost as computed is validated
from the cost data collected from the existing transmission line projects. A maximum
deviation of ±10% has been found for the total transmission line cost for 132 kV and 220 kV
transmission lines and for 400 kV transmission lines, it is observed that the deviation between
the computed total transmission line cost and actual cost as per data collected is within ±5%.
Keeping in view the importance of cost management and decision making, economic
analysis was carried out for the transmission lines to determine life cycle cost (LCC) using net
present value (NPV) analysis and interval mathematics. A methodology for performing cost
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breakeven analysis considering right of way costs as reference is evolved to determine the
point of economy indifference in the transmission lines for various available alternatives. LCC
studies involve significant amount of technical and economic input data obtained from various
reliable sources. However, the data obtained is highly uncertain and the effect of these
uncertainties cannot be directly included in the study process, resulting in inaccurate solutions.
Interval mathematics provides an effective solution for handling uncertainties in input data.
The input parameters are expressed as interval numbers whose ranges include the
uncertainties in those parameters. The computations can be performed entirely in interval
form, which carry the uncertainties associated with the data throughout the analysis. The final
outcome is a solution range in interval form, consisting of all possible solutions due to the
variations in input parameters.
It has been observed from the base case results that the life cycle cost of 220 kV line is
approximately 50% higher than a 132 kV line providing nearly 2.6 times more power carrying
capacity and the life cycle cost of a 400 kV line is 70% and 135% higher, providing 4 and 10
times more power carrying capacity as compared to 220 kV and 132 kV lines respectively.
From the uncertainties case results, it has been found that the minimum and maximum
deviation for cumulative present worth is varying between - 4.2% to + 10.5% with respect to
base case, for all the lines under study.
In order to meet the ever increasing power demand, it becomes inevitable for
generation and transmission utilities to expand their infrastructure. In this regard, the present
study focuses on cost optimization of power transmission lines in hilly areas. Uttarakhand
state in India is selected for carrying out the transmission line design. Correlations have been
developed for transmission line cost influencing parameters in terms of their design variables
and are verified for accuracy by performing error analysis and observing key regression
performance indicators. Based on the developed correlations, a mathematical model has been
formulated to optimize the cost. Genetic algorithm optimization technique has been employed
for cost optimization, which evaluates the minimum cost with simultaneous selection of
optimum design parameters. Economic analysis has also been performed to investigate the
sensitivity of various economic and market parameters on transmission line cost. The
correlations developed and the cost optimization methodology employed for constructing
overhead power transmission lines can be used by the line designers and developers for
investment decision.