Various systems and methods are provided for a turbocharger system. In one example, system for use with a power generator having a rotary machine including a combustor comprises: a heat exchanger positioned to receive exhaust gases from the combustor; and a turbocharger system, comprising: a low pressure turbocharger including a low pressure turbine adapted to receive gas flow from the heat exchanger and a low pressure compressor adapted to supply compressed air to the heat exchanger; a high pressure turbocharger including a high pressure turbine adapted to receive gas flow from the heat exchanger and a high pressure compressor adapted to receive gas flow from the low pressure compressor and supply compressed air to the rotary machine; and a second combustor adapted to inject exhaust gases into a flow path arranged between the heat exchanger and an inlet to each of the high pressure turbine and the low pressure turbine.