A power system has two synchronous generators. The governor-turbine characteristics orresponding to the generators are
P₁ = 50(50 – ƒ), P₂ = 100(51 – ƒ). where f denotes the system frequency in Hz and P₁ and P₂ are respectively, the power outputs (in MW) of turbines 1 and 2. Assuming the generat or s and transmission network to be lossless, the system frequency for a total load of 400 MW is __________ Hz