Dynamically reconfigurable hardware (DRHW) can take advantage of its reconfiguration capability to adapt at run-time its performance and its power consumption. However, due to the lack of programming support for dynamic task placement on these platforms, no previous work has been presented studying the performance/power trade-offs. To cope with the task placement problem in a straight way that allows us to go one step further, we have adopted an interconnection-network-based DRHW mode, which includes operating system support to reallocate tasks at run-time. On top of this model we have applied an emerging task concurrency management (TCM) methodology initially developed for multiprocessor platforms with promising results. Moreover, we have identified the next step needed to create a specific TCM support for DRHW platforms.