My Requirement is to create an equation to calculate the distribution line power loss with distance and solve it to get an optimum distance. all other variables can be predefined within the equation, (i.e. voltage drop of cable, cable resistance, tem, X axis distances to side roads, Y axis distances from loads,) - finally calculate X* Figure attached will clarify the X, Y-axis and Rectangles indicate loads. Circled X is the power source (Battery Bank with 3-phase inverter) Note - Distribution system is a 3-phase line system, cable parameters are known (50mm or 70mm ABS), Ignore street light conductor in cable parameters, for the equation , pls consider on its capability of calculating loads up to 10 homes in a lane and 10 lanes (needs at least 100 homes for this system) this equation can be solved using any software means necessary, thus not focusing on that, will you be able to provide me the equation within 2 days
The x distances are determined based on the locations of the source and loads as well as the available routes. Provided that correct cables are selected, what exactly would you like to optimize? Anyway, the power loss in a specfic cable #i = 3*I^2*r*xi where r is the cable resistance per unit length. The overall power loss in the x's = sum of the previous equation over all x sections.
To create an equation to calculate the distribution line power loss with distance and solve it to get an optimum distance :
https://sites.google.com/a/dee.ufcg.edu.br/luyesreyes_v1/home/eletrotcnica/avisos/2a-unidade/aula-9
https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVlLnVmY2cuZWR1LmJyfGx1eWVzcmV5ZXNfdjF8Z3g6MzFiZWExYTgwNTQ1NmQ1MA
Voltage (load) regulation is to maintain a fixed voltage under different load.Voltage regulation is limiting factor to decide the size of either conductor or type of insulation. % Voltage Regulation = (1.06 x P x L x PF) / (LDF x RC x DF)
Optimum location of capacitors
L = [1 – (KVARC / 2 KVARL) x (2n – 1)]
Voltage Drop = ( (√3x(RCosΦ+XSinΦ)x I ) / (No of Conductor/Phase x1000))x Length of Line
I am not sure that such a formulation of the problem is useful because that line's length is determined by location of substation, which has not any concern to the losses' minimum.
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