Systems and methods for transferring and converting heat to a power cycle using a plurality of heat transfer fluids, loops and heat exchange devices to convert heat to useful work and/or power. Power is generated using intermediate heat transfer loops (IHTL) and an intermediate heat transfer fluid (IHTF) to cool the hot exhaust power cycle fluid (PCF) stream that is at or above its critical conditions. The temperature of the IHTF can be increased by 100° C., 150° C., 200° C., 250° C., 300° C., 350° C., 400° C., 450° C., 500° C., 550° C. or more by exchanging heat with the PCF, either directly or indirectly.