Partial shading is a prevalent phenomenon that diminishes the power output of solar Photovoltaic (PV) systems. Reconfiguring the connections of a PV array has been proven to be effective in mitigating the negative impact of partial shading. This paper proposes a modified chess knight reconfiguration approach that improves power generation capability under different shadow footprints. The proposed method is validated experimentally and in MATLAB Simulink under different shading footprints such as, short, or narrow wide, short, or narrow long, corners, symmetrical and asymmetrical shadows. Five recently proposed dynamic and static reconfiguration techniques i.e., Row index, Sudoku, Particle Swarm Optimisation (PSO), Chess knight, and Total Cross Tied (TCT) have been used for analysis of all shadow footprints. The proposed technique is more effective in reducing output power losses, smoothing characteristic curves, and requires fewer switches. The effectiveness of the proposed technique is evaluated via performance analysis based on energy, cost savings and profit. The study found that the proposed technique mitigates power loss by 71% and increases profit by 13.5%. A generalized conceptual switching matrix scheme is also proposed, allowing the PV system to be reconfigured using any scheme reported in the literature.