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Hardware devices in the Wireless Sensor Network (WSN) have several limitations, one of which is in terms of energy. Energy is needed so that activities running on the WSN keep running. WSN consists of many sensor nodes. Each sensor node has limited energy. In this study, the energy efficiency and bandwidth of the WSN were carried out using the Nelder Mead Simplex method, which uses the principle of differentiation of derivatives to simple forms. Nelder Mead Simplex has been widely used to manage energy efficiency in WSNs. The energy efficiency of this WSN is enhanced by the addition of the PSM-PC hybrid technique. The fuzzy algorithm is flexible in its use. Besides that, fuzzy logic can also save bandwidth by adjusting the waiting time in doing one data transmission from the sensor node to the cluster head. The analysis carried out aims to compare the optimization of energy savings in WSN with the Nelder Mead Simplex method. The research results we get are by using 2-QAM modulation with an Energy Bit used of 4.106×10-6J and an Energy transmitter of 7.1316×10-8J with the same parameter conditions, namely a distance of 125m, a path loss coefficient of 2, the number of bits 100 bits are used.