A power generation system including an electrolyzer may be optimized taking non-linear operational constraints into account with lower processing requirements than current solutions in real time. A pre-processing module assesses non-linear operational constraints in a low-overhead manner and passes results to an optimization module. The optimization module determines an operating power value constrained in accordance with results from the pre-processing module. A post-processing module uses results from the pre-processing and optimization modules to assemble instructions to control the electrolyzer. As a result, optimization may be performed in real time.