On two methods to computate the trapezoidal characteristic of automatics for elimination of asynchronous operation based on equal-step data

The paper presents two methods to compute the trapezoidal characteristic of automatics for elimination of asynchronous operation (AEAO). The source data are hodographs of asynchronous operations (AO hodographs). Every AO hodograph is an array of active and reactive resistances values, which have been received or calculated with equal time step. The first method is based on the phase increase of characteristic size without proportions sacrificing of sensitive and coarse elements of the characteristic (trapeze). Trapeze bases are stretched as long as we have unfixed AO hodographs for AEAO. The second method is based on narrowing the coarse characteristic element without sacrificing the initial size of the sensitive element. Both methods are iterative homogenous operations algorithms. These homogenous operations are necessary to compute the characteristic with minimal size and keep constraints for AEAO. The main emphasis of the characteristic computation is on keeping the sensitivity constraints and fixing the AO hodographs. These methods are used to build up a software. The paper also describes a computational experiment based on actual data. The experiment showed these methods are effective when calculating the AEAO sets. Experts on electrical modes can use these methods to adjust the AEAO with trapezoidal characteristic.