In the modern power systems, maximum load margin (MLM) plays an important role from the point of view of system stability. The knowledge of MLM helps the system operator to take proper decisions regarding load margin. In this paper, three new schemes using Fuzzy Logic (FL) is developed along with a new formation of sparse constant array. The proposed schemes are tested on IEEE 5-bus, 14-bus, 30-bus, 57-bus and 118 bus test systems under different practical security constraints. The iterative process can be started with random initialization using proposed FL schemes which is not possible using N–R technique. The results are compared with the same of Newton–Raphson (N–R) method technique and the standard fuzzy logic controllers. The comparison indicates the superiority of proposed FL schemes over traditional N–R technique.