The rearrangement of a photovoltaic array (PVA) plays a key role in its power output subjected to partial shading situations (PSSs). Achieving maximum power output under PSSs is a significant parameter to decide the best topology for the PVA framework (PVAF). An odd-even sudoku framework (OESF) for the total cross-tied (TCT) array that augments the resultant power production is proposed. OESF is designed in such a way that the PV modules (PVMs) are rearranged in a particular pattern within the TCT array without altering the electrical connections. The comparative performance analysis of the reconfigured OESF is done with those of the existing PVAFs. The extent of mismatch power losses (MPLs) abruptly affecting the performance of PVAs is studied under PSSs and the results are analyzed. The results show that as compared to the other frameworks, the proposed OESF can minimize the MPLs and subsequently enforce significant improvement in the global maximum power point, fill factor (FF), and efficiency (EF). The different PSSs are considered for the study and the observations show that the MPL in case of OESF is 6.64%, which validates that there is reduction in the power losses displayed by OESF reconfiguration, in contrast to other frameworks considered. Further, the maximum values of FF and EF for OESF are 52.40% and 13.83%, respectively, signifying a considerable enhancement in both the values through the proposed technique.