There are quite a few methods to earth your system:
Solidly earthed
Resistance earthed
Reactance earthed
Arc suppression coil (Peterson Coil)
Neutal earthing coupler (zig-zag trsf) solidly earthed
Neutal earthing coupler (zig-zag trsf) earthed through resistance
etc.
Advantages of solid earthing:
Neutral held effectively at earth potential.
Phase-to-ground faults of same magnitude as phase-to-phase faults so no need for special relays
Cost of current limiting device eliminated.
Size and cost of transformers reduced by grading towards neutral point.
Lightning arresters need not exceed 80% of line voltage.
Disadvantages of solid earthing:
Most system faults are phase-to-ground, severe shocks are more considerable than with resistance earthing.
Third harmonics tends to circulate between neutrals.
High degree of damage at fault point and possible damage to feeder equipment.
High step and touch potentials.
Low initial cost but higher long-term equipment repair cost
Advantages of resistance earthing:
Limits electrical and mechanical stresses on system when an earth fault occurs.
Lesser degree of damage at fault-point and usually no damage to feeder equipment.
Reduced step and touch potentials.
Disadvantages of resistance earthing:
Higher initial costs.
Full line-to-line insulation required between phase and earth.
Lightning arresters rated at least for 100% line voltage for 100seconds
Higher initial cost, but lower long-term equipment repair cost.
HV-systems is solidly earthed, because the size and cost of transformers is reduced by grading insulation towards neutral point.
Thus: The bigger the voltage, the more insulation you have to use. More insulation needs more space and means more cost. If you degrade the insulation towards the neutral, you save on insulation, but then you have to use solid earthing.
MV - depending on what you want to achieve.
LV is solidly earthed to ensure that the likeihood of the presence of any voltage above normal appearing in the LV-circuit is reduced to a minimum.
Hope it helps
Regards
Ralph