Unmanned Aerial Vehicles (UAVs), also known as drones became critical in diverse sectors, consisting of military, commercial, and civil applications, thanks to their flexibility and mobility. However, UAV communication networks face great challenges, especially in power consumption, which affects their performance. As secure data exchange is essential for UAVs transmitting sensitive information, optimizing the power use of cryptographic protocols is critical. In this paper, we analyze the power consumption of key algorithms Diffie-Hellman (DH) and Hash-based Message Authentication Code (HMAC) which are used for authentication and integrity to assess their performance in energy-constrained UAV communication networks. Our findings indicate whether the algorithms create a balance between security and energy to be considered optimized for use in low-energy UAV communication networks.