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TRANSMISSION AND DISTRIBUTION SYSTEMS

  1. MGMD = D_{eq}=\sqrt[3]{D_{ab}D_{bc}D_{ca}}
  2. SGMD=\sqrt[N^2]{\left(D_{11}D_{12}...D_{1N}\right)\left(D_{21}D_{22}...D_{2N}\right)...\left(D_{N1}D_{N2}...D_{NN}\right)}

  3. For Diameter of subconductor:D = \left(2n-1\right)d

  4. For Inductance:r' = 0.7788\frac{D}{2}

  5. L=2x10^{-7}\ln\left(\frac{MGMD}{SGMD}\right)\ H/m
  6. C=\frac{2\pi\epsilon_0}{\ln\left(\frac{MGMD}{SGMD}\right)}\ F/m
  7. x_L=2\pi fL
  8. x_C=\frac{1}{2\pi fC}
  9. z=x_L+jr
  10. y=j\omega C
  11. I_r=\frac{P_r}{\sqrt{3}V_r\cos \theta _r}

  12. For Short Transmission Line:
    A = 1, B = Z, C = 0, D = 1

  13. For Medium (Nominal π) Transmission Line:
    A=1+\frac{YZ}{2}, B = Z, C=Y+\frac{YZ^2}{2}, D=1+\frac{YZ}{2}

  14. For Long Transmission Line:
    A = \cosh \left(\gamma l\right), B = Z_c\sinh \left(\gamma l\right), C = \frac{1}{Z_c}\sinh \left(\gamma l\right), D = \cosh \left(\gamma l\right)

  15. V_s=AV_r+BI_r
  16. I_s=CV_r+DI_r

  17. Charging Current,I_s=CV_r

  18. P_s=V_rI_r\cos \theta _r
  19. \eta =\frac{P_s}{P_r}x100\%
  20. V.R.\%=\frac{V_s/\left|A\right|-V_r}{V_r}x100\%