I obtained a Power length relationship formula
V=5.5* (0.62*L + 3*P/100)^(1/2) .
L = distance in km
P= Power in kW
V= Voltage in kV
When I applied it to my case study it proves inaccurate.
Please does anyone know of any other formula with similar relationships.
Perhaps you should look into the paper entitled Electric power transmission in Wikipedia, in the paper entitled "Analysis of formulas to calculate the AC resistance of different conductors’ configurations" in https://upcommons.upc.edu/.../2117/77077/analysis_of_formulas., in the paper entitled "Transmission and Distribution Networks: AC versus DC" in solarec-egypt.com/resources/Larruskain_HVAC_to_HVDC.pdf, in the paper entitled "EE–340 Transmission Lines" in www.egr.unlv.edu/~eebag/TRANSMISSION LINES.
Hello Ifeoluwalayomi Wole-Osho,
All the details and simplified equations you need are available in chapter II of the old 1957 book of srarr. The chapter covers the techno-economic analysis of all known DC, and AC structures of electric power supply systems even those raised again in what is called DC micro-grids and much more alternatives structures except electronic converter based systems. Elaborated comparisons are presented from techno-economic aspects points of view.
I am not sure that you will be able to find an e-version of the book, but it is available in libraries. If you have to ask me about a scanned copy of that chapter, do not hesitate to contact me. You are welcome to ask me any queries or request my collaboration.
Good luck
Regarding recent electronic converter based transmission systems and systems including variable generation, you may read the following articles as well as those suggested by Jorge Morales Pedraza
https://www.researchgate.net/publication/263752637_Modeling_and_analysis_of_reactive_power_in_grid-connected_onshore_and_offshore_DFIG-based_wind_farms?_iepl%5BviewId%5D=96QNwxTSacitQXDiorgp0egq&_iepl%5BprofilePublicationItemVariant%5D=default&_iepl%5Bcontexts%5D%5B0%5D=prfpi&_iepl%5BtargetEntityId%5D=PB%3A263752637&_iepl%5BinteractionType%5D=publicationTitle
https://www.researchgate.net/publication/321597802_Sizing_and_Operational_Loading_of_Reactive_Power_Compensators_for_Grid_Connected_Wind_Farms_Considering_Various_Transmission_Options?_iepl%5BviewId%5D=96QNwxTSacitQXDiorgp0egq&_iepl%5BprofilePublicationItemVariant%5D=default&_iepl%5Bcontexts%5D%5B0%5D=prfpi&_iepl%5BtargetEntityId%5D=PB%3A321597802&_iepl%5BinteractionType%5D=publicationTitle
However, the book of Starr exactly matches the type of the models you need.
Sufficiently answered,
A caution, earlier empirical formulae were voltage regulation based / loss based / temperature rise based/criteria applicable for radial lines, single m/c infinite source or long lines with ideal voltage sources. In integrated network with FACTS controllers, voltage and line length relationships have lost significance. For HVDC for example length is no limit and voltage options are based on choice of device and over all economy.
For cables, yes reactive power continues to dictate length and reactive compensation, and mechanical handling etc.
Ashok Kumar Tripathy
Can you elaborate more on "voltage option are based on choice of device"? What devices are actually affects the determination of optimum voltage level for HVDC? and can you provide some examples?
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