This current study is focussed to discuss the existence of a new family of compact star solutions by adopting the Karmarkar condition in the background of Bardeen black hole geometry. For this purpose, we consider static spherically symmetric spacetime with anisotropic fluid distribution in the presence of electric charge. We consider a specific model of $g_{rr}$ metric function, to describe a new family of solutions which satisfies the Karmarkar condition. Further, we investigate the interior solutions for two different models of compact stars with observational mass and radii, i.e., ($M=1.77M_{\odot },R_b=9.56$ km) and ($M=1.97M_{\odot },R_b=10.3$ km). It is found that these solutions fulfill all the necessary conditions for a charged star. Through graphical discussion, it is noticed that our calculated solutions are physically arguable with the best degree of accuracy for $n\in [1.8,7)$, where parameter $n$ is involved in the model under discussion. However, it is perceived that the presented model violates all the physical conditions for $n\in \{2,4,6\}$. Finally, it is concluded that the parameter $n$ has a strong impact on the obtained solutions in the context of Bardeen stellar structures.

这项当前研究的重点是通过在Bardeen黑洞几何背景下采用Karmarkar条件来讨论新的紧星解族的存在。为此，我们在电荷存在的情况下考虑具有各向异性流体分布的静态球对称时空。我们考虑一个特定的模型$G_{\mathrm{[R}\mathrm{[R}}$度量函数，以描述满足Karmarkar条件的新解系列。此外，我们研究了两种具有观测质量和半径的紧凑型恒星模型的内部解，即$\mathrm{中号}=\mathrm{1个}。77{\mathrm{中号}}_{\odot }，{\mathrm{[R}}_b=9。56$ 公里）和（$\mathrm{中号}=\mathrm{1个}。97{\mathrm{中号}}_{\odot }，{\mathrm{[R}}_b=10。3$ 公里）。发现这些解决方案满足了带电恒星的所有必要条件。通过图形讨论，我们发现计算得出的解决方案在物理上可以说是具有最佳准确性的解决方案，$ñ\in [\mathrm{1个}。8，7）$，其中参数 $ñ$正在讨论的模型中。但是，可以认为，提出的模型违反了所有物理条件，$ñ\in \{2，4，6\}$。最后得出结论，参数$ñ$ 在Bardeen恒星结构的背景下对获得的解决方案有很大的影响。