The nearest I can think to "direction" is "reactive power", or the phase angle between voltage and current at any particular point.
There very definitely are loops and multiple paths to a particular point, it's not called a "grid" for nothing. This little map of the UK grid is interesting: https://www.nationalgrid.com/uk/about-grid/our-networks-and-...
Edit: Aha, further reading - systems for altering the phase angle: https://en.wikipedia.org/wiki/Quadrature_booster
And https://www.researchgate.net/publication/27341916_Influence_...
I'm also wondering since a couple of years about the same question.