Mathematical modeling of solar photovoltaic (PV) cell/module or array is to assess its unknown modeling parameters with the experimental current-voltage (I-V) characteristic or from the manufacturer's datasheet, where exploitation of implicit and precise solution is a stern concern among researchers for the designing of an optimized solar PV system. Hence, in this article, a robust pheromone value black widow optimization (pv-BWO) algorithm is proposed to estimate precise modeling parameters of equivalent solar PV single-diode model (SDM), double-diode model (DDM), and three-diode model (TDM). The proposed algorithm is well investigated in coordination with three case studies that hold polycrystalline and monocrystalline PV modules. The suggested technique is validated through the analysis of I-V and power-voltage (P-V) performance characteristics that are meticulously analyzed under various environmental constraints. The first two case studies are widely investigated in the literature also, whereas, to affirm the suitability of pv-BWO under real implementation the third case study is carried out in an experimental environment. Furthermore, the pv-BWO method for the aforesaid case studies are validated and compared with the experimental data along with various well-established parameter estimation techniques in literature, where the proposed method promises a more reliable, stable, and precise solution for the parameter estimation problem.