The constant need to improve network capacity and reduce power consumption incurrent fixed-grid WDM networks motivates researchers to find alternative solu-tions other than replacing the deployed equipment. One of the possible solutions isthe use of hybrid EDFA/Raman amplifier, which improves signal-to-noise-ratio ina point-to-point link. This work aims at quantifying, by means of a detailed powermodel, the effect of these novel ideas on the power consumption of the network,which is key to build a future green Internet. In particular, we consider the use of arandomly generated topology of 20 nodes to study the effect of hybrid amplification,fiber type, fiber span length, and sensitivity to average link length and average trafficper node. Results show that hybrid amplification in moderate pumping regime min-imizes total network power consumption for networks made up of all 3 fiber typesin particular for nonzero dispersion-shifted fiber.