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Energy consumption in a ChipMultiProcessor (CMP) is one of the most important costs. It is related to design aspects such as thermal and power constrains. Besides efficient on-chip processing elements, a well-designed Processor Allocator (PA) and a Network-on-Chip (NoC) are also important factors in the energy budget of novel CMPs. In this paper, the authors propose an energy model for NoCs with 2D-mesh and 2D-torus topologies. All important NoC architectures are described and discussed. Energy estimation is presented for PAs. ; The estimation is based on synthesis results for PAs targeting FPGA. The PAs are driven by allocation algorithms that are studied as well. The proposed energy model is employed in a simulation environment, where exhaustive experiments are performed. Simulation results show that a PA with an IFF allocation algorithm for mesh systems and a torus-based NoC with express-virtual-channel flow control are very energy efficient. Combination of these two solutions is a clear choice for modern CMPs.