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We provide a framework for investigating and optimizing broadband solar wavelength transformation of visible light to near-infrared radiation in Ce3+-Nd3+-Yb3+ tripled-doped yttrium aluminum garnet. We study the Ce3+-Nd3+-Yb3+ quantum cutting system through modeling and solving rate and power propagation equations. For the optimized Ce3+, Nd3+, and Yb3+ concentrations under the fixed thickness of doping layer, theoretical power transformation efficiency of 178% and quantum transformation efficiency of 191% are obtained. The amount of near-infrared photon output can be boosted to meet the purpose of potentially enabling a c-Si solar cell with a performance enhancement. Our research will be beneficial to further investigate and design a much more efficient RE multi-doped system of broadband solar wavelength transformation for further increasing photoelectric transformation efficiencies of Si solar cells.