This paper proposes a method for solving running cost problem by minimizing switching shunt element devices. The solution of the problem is approached by utilizing optimization method which optimizes shunt element devices and running costs while satisfying voltage stability index. The main contribution of this paper is to provide linear optimization solution which determining the minimizing amount of reactive power capacity commits in once respects a voltage stabilization. Moreover, the method is able to contributes in voltage stabilization the accident at the time of with the dosage commitment which is quick escapes from a sequential control method of existing. This paper suggests optimal coordinative control method between STATCOM and other reactive power controllers in substation (Shunt Reactors/Capacitors and OLTC). Therefore, it is valuable for decision maker in determining order and capacity of devices which gaining a voltage stabilization. The proposed control method selects proper device of respective control characteristic by detecting voltage error and integrated voltage error. We start by showing how to solve systems of linear equations using the language of pivots and tableaus. The effectiveness of this technique is demonstrated in modified PSS/E MIGUM 45 bus system. The simulation results show the effectiveness of this algorithm by comparing the outcome with several established methods.