“…where Y wdn is attribution of the winding losses to the total, losses of the transformer, Y fe is attribution of the core losses to the total losses of the transformer, Y st is attribution of the stray losses to the total losses of the transformer, m wdn is winding material weight (kg), m fe is core weight (kg), m mp is tank and fittings weight (kg), m oil is the oil weight (kg), c wdn is winding material specific heat capacity (c Cu = 0.11 and c Al = 0.25 Wh/kg°C ), c fe is core specific heat capacity, (c fe = 0.13 Wh/kg°C ), c mp is tank and fitting specific heat capacity, (c mp = 0.13 Wh/kg°C ), c oil is the oil specific heat capacity, (c oil = 0.51 Wh/kg°C ) and O oil is the oil correction factor for the ONAF and OFAF cooling modes, (O oil = 0.86 Wh/kg°C ), The transformer oil thermal capacitance without external cooling is formulated as [21] C th − oil = m wdn × c wdn + m fe × c fe + m mp × c mp + m oil × c oil (10) Equation (7) is used to simulate TOT variations all day long for different scenario of PVI operation. Fig.…”