The photovoltaic(PV) system's efficiency can be improved with the aid of effective solar PV cell modeling. However, flawed solar cell parameters affect PV cell modeling incorrectly. The manufacturers are usually not providing all the necessary data for the exact modeling of PV cells. It is therefore necessary to efficiently predict the parameters of the PV cell. The literature discusses various optimization algorithms, but the suboptimal outcomes are obtained by most of the algorithms due to their convergence toward local minima. This paper introduces a new stochastic optimization algorithm for the estimation of solar PV cell parameters. Therefore, for the evaluation of the solar cell, a new novel chaotic algorithm is introduced in this paper called the chaotic tunicate swarm algorithm (CTSA). The proposed algorithm has a new function called an outstanding mathematical model of adaptive weights to stimulate negative and positive inputs from the spreading wave in order to find the best way to connect food with an excellent exploitation tendency and exploratory ability. For the double-diode model, the computation time of the chaotic variants (CTSA1-1.1885, CTSA2-1.2502, CTSA3-1.2962, CTSA4-1.1204, and CTSA5-1.2214) is better than the rest of the compared algorithms (particle swarm optimization [PSO]-17.4532, tunicate swarm algorithm (TSA)-2.5278, Harris hawks optimization [HHO]-10.8942, ant lion optimizer [ALO]-15.0214, and atom search optimization [ASO]-9.5214). For the triple-diode model, the computation time of the chaotic variants (CTSA1-1.2658, CTSA2-1.3520, CTSA3-1.3056, CTSA4-1.2290, and CTSA5-1.3859) is better than the rest of the compared algorithms (PSO-18.5421, TSA-3.2568, HHO-9.8754, ALO-13.5841, and ASO-List of Symbols and Abbreviations: α 1 , ideality factor for first diode.; α 2 , ideality factor for second diode; α 3 , ideality factor for third diode; B !