It is important to manage precise power flows in closed small power networks for their reliable operations. This paper describes a method for managing the instantaneous power flows in a local area power network. In order to provide instantaneous power to a load through a power bus without disturbing the other modules, we adaptively adjust the power flow and keep the balance of the instantaneous power. As a tool of the balancing, we use power flows based on Tellegen's theorem and Kirchhoffs voltage law to determine the network states uniquely.