Question

Is Geometric Mean Distance (GMD) the same as Geometric Mean Radius (GMR)?

(a) Yes

(b) No

Short answer

Therefore, the correct option is (b) No.

Step-by-step solution

Step 1: Determine the formula of Geometric Mean Distance

Write the formula of Geometric Mean Distance (GMD) for single-phase two conductor line with composite conductors.

${\mathrm{D}}_{\mathrm{xy}}=\sqrt{\prod _{\mathrm{k}=1}^{\mathrm{N}}\prod _{\mathrm{m}=1}^{\mathrm{M}}{\mathrm{D}}_{\mathrm{km}}}$ …… (1)

Here, $N$ is a number of stranded composite conductors in conductor $x$ and $M$ is a number of stranded composite conductors in conductor $y$, ${\mathrm{D}}_{\mathrm{km}}$ is a radial distance between k^th conductor to m^th conductor.

Step 2: Determine the formula of Geometric Mean Radius

Write the formula of Geometric Mean Radius (GMR) for single-phase two conductor line with composite conductors.

${\mathrm{D}}_{\mathrm{xx}}=\sqrt[{\mathrm{N}}^2]{\prod _{\mathrm{k}=1}^{\mathrm{N}}\prod _{\mathrm{m}=1}^{\mathrm{N}}{\mathrm{D}}_{\mathrm{km}}}$ …… (2)

Now, expression (1) and (2) are different, that is GMD and GMR are not same.

Therefore, the correct option is (b) No.