Even though the recently discovered high-magnification event MOA-2010-BLG-311 had complete coverage over the peak , confident planet detection did not happen due to extremely weak central perturbations ( fractional deviations of \lesssim 2 \% ) . For confident detection of planets in extremely weak central perturbation ( EWCP ) events , it is necessary to have both high cadence monitoring and high photometric accuracy better than those of current follow-up observation systems . The next-generation ground-based observation project , KMTNet ( Korea Microlensing Telescope Network ) , satisfies the conditions . We estimate the probability of occurrence of EWCP events with fractional deviations of \leq 2 \% in high-magnification events and the efficiency of detecting planets in the EWCP events using the KMTNet . From this study , we find that the EWCP events occur with a frequency of > 50 \% in the case of \lesssim 100 M _ { E } planets with separations of 0.2 { AU } \lesssim d \lesssim 20 { AU } . We find that for main-sequence and subgiant source stars , \gtrsim 1 M _ { E } planets in EWCP events with the deviations \leq 2 \% can be detected > 50 \% in a certain range that changes with the planet mass . However , it is difficult to detect planets in EWCP events of bright stars like giant stars , because it is easy for KMTNet to be saturated around the peak of the events with a constant exposure time . EWCP events are caused by close , intermediate , and wide planetary systems with low-mass planets and close and wide planetary systems with massive planets . Therefore , we expect that a much greater variety of planetary systems than those already detected , which are mostly intermediate planetary systems regardless of the planet mass , will be significantly detected in the near future .