“…In a nonuniform electric field, assuming that the fluid (i.e., transformer oil and the gas in the bubbles) is incompressible, the force on the bubbles consists mainly of electrodynamic, drag, and buoyancy forces; the latter two being due to the liquid viscosity and gravity, respectively. Therefore, the equation of motion for bubbles in the liquid is (4) where m is the bubble mass, v is the bubble velocity, t is time, FE is the electric-field force of bubbles; FD is the drag force on the bubble, FB is the buoyancy force on the bubble, and FG is…”