Electrical energy transmission project in the year 2107

AI Thread Summary
In the year 2107, electrical power generation will rely on nuclear power plants, with energy transmitted via superconductor cables. A project involves two DC transmission lines that must be adjusted without de-energizing them, leading to a dispute over the calculation of work done. The client’s electrical engineer uses electromagnetic theory to estimate the work, while the contractor’s mechanical engineer argues for a different calculation method, resulting in a claim for double the payment. The discussion highlights the complexities of energy transmission calculations and the potential for differing interpretations of fundamental theories. The advancements in superconducting technology and its impact on construction costs remain uncertain.
m.s.j
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Let's imagine the year 2107.In that time electrical power will be generated in nuclear power plants and electrical energy will be produced in big nuclear reactors. Also the electrical energy will be transmitted by superconductor cables.
The electrical riddle no.5 is subjected to one of transmission line projects which intended by power plant owner (client).According to project technical documents, the contractor shall approach one of two DC transmission lines to other line (equal to "d" meter) without lines deenergizing.After that mentioned displacement, the cross distance of two lines changes from "d" meter to zero meter.

At the end of works, the representative of client who is electrical engineer shall account the amount of money that shall be paid to contractor.

He must estimate amount of done works by them. According to fundamental electromagnetic theory for enclosed energy estimation in one meter of transmission lines, he can write:



W=1/2∫volB.H dv



Also: i = ∫H. dl = H 2pr



and dv = 2pr dr



W = 1/2∫volB.H dv = 1/2∫0d B.i/2pr.2pr dr





Consequently, calculated done works by client are :



W = 1/2∫0d B.i dr



But the representative of contractor who is mechanical engineer thinks above mentioned calculation is not right and client shall be paid more money for done works.

According to fundamental mechanical theory, the representative of contractor tries to do calculation by the other way. He writes:





W =∫L F.dr



F = i x B





W= ∫0d Bidr





Consequently, done works calculated by contractor are:



W= ∫0d Bidr



Therefore amount of done works calculated by contractor are two time of client estimated.



What is your opinion? Who is right?
 
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I have no idea of what your symbols relate to.

However, superconducting power transmission is an existing technology.
You can look this up to get construction costs.

What an additional 100 years of technological change will do to the actual construction costs is indeteminant.
 
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