In this article, a comprehensive detailed dynamic representation of multi-stacks fuel cells is addressed. This representation is applied and compromised for parallel connected and operated multi-stacks solid-oxide fuel cells (SOFCs), which is considered a hot topic and research challenge. A proposed control system is presented to manage SOFCs parallel stacks sharing and operation. A part of this technical challenge in regards to the parallel operation is to realize equal output voltages with various current values of each cell. An improved slime mould algorithm (ISMA) is proposed to set the operational parameters of parallel operated SOFCs stacks. Digital simulations have validated the proposed system effectiveness with optimal dynamic parameters under various operating scenarios. These scenarios include step-load changes (increase/decrease) under equal and unequal load sharing's plus emergent fault conditions by short-circuit disturbance and protection tripping. Further validations thru comparisons of ISMA's results with the best results of genetic algorithm (GA) as a well-established benchmark algorithm are emphasized. The simulation results show the efficacy of proposed technique and representation to improve the dynamic performance of the underlined system, for example at a particular scenario. Just to figure out the cropped results, it is noted the ability of proposed technique to realize a very smooth dynamic response (overshoot = 2.30e-5 pu and settling time = 0.054 s) compared to those achieved by GA (overshoot = 4.78e-2 pu and settling time = 0.22 s) under fuel cells different shares' scenarios.