2 Analysis of heat transfer in a single-phase transformer

Assignment 2 6-6Code that shows the formulation of thermal equivalent circuit and the elements in the circuit% thermal equivalent circuit - topology matrix% [element(1) node(n) node(m) thermal conductivity]Tec = [ 1 1 2 0.5*h_c * 0.5*w_s / (0.5*l_c/tc_fe+ins/tc_ins+0.5*l_w1/tc_win);2 2 3 0.5*h_c * 0.5*w_s / (0.5*l_w1/tc_win+ins/tc_ins+0.5*l_w2/tc_win);3 3 4 0.5*h_c * 0.5*w_s / (0.5*l_w2/tc_win+ins/tc_ins+0.25*l_c/tc_fe);4 4 5 0.5*h_c * 0.5*w_s / (0.25*l_c/tc_fe+1/Aconv);5 1 6 0.5*h_c * 0.5*l_c / ((0.5*w_s+0.25*l_c)/tc_fe);6 2 7 0.5*h_c * l_w1 / ((0.5*w_s-ins)/tc_win+ins/tc_ins+0.25*l_c/tc_fe);7 3 8 0.5*h_c * l_w2 / ((0.5*w_s-ins)/tc_win+ins/tc_ins+0.25*l_c/tc_fe);8 6 7 0.5*h_c * 0.25*l_c / ((0.5*l_c+ins+0.5*l_w1)/tc_fe);9 7 8 0.5*h_c * 0.25*l_c / ((0.5*l_w1+ins+0.5*l_w2)/tc_fe);10 8 4 0.5*h_c * 0.5*l_c / ((0.5*w_s+0.5*l_c)/tc_fe);11 6 9 0.5*h_c * 0.5*Ltr / ((0.25*l_c)/tc_fe+1/Aconv);];2.5 FE modelFinite element model has been given in EMK_task_1.lua.The xy-plane cross-section of a shell type of transformer is the base geometry for the heat transferanalysis. Notice that the loop calculations are commented out and initially the relative slot openingis selected 50%.2.6 AssignmentBased on the outcome from FE and EC model (that takes at least 5 minutes)― Show Jcm=f(ks) for these deferent models― Calculate a transferred power P=f(ks) for these deferent models― Calculate copper and core losses and the sum of these losses Ploss=f(ks)― Estimate the efficiency for these deferent modelsAnalyze the outcome of the FE analysis and if necessary introduce additional calculations in orderto evaluate the thermal conductance shown below:a)ϑ cuQ cuG th1ϑ ambc)ϑ cu1Q cu1G th1ϑ ambb)G th3ϑ cuQ cuG th1ϑ ambG th6ϑ cu2Q cu2G th4G th2G th5Q feϑ feG th2ϑ feQ feG th3Carry out this study for an optimal transformer and as far you are able i.e. start from circuit a,continue with b and if you are able then also circuit c.AAV0090 Electrical Drives - project, TTU, 2008