Vertex-wise NLMS Algorithm for Signal Reconstruction of DC Power Flow

In this paper, we present a novel optimization problem for normalized least-mean square (NLMS) algorithm including the estimated signal at unmeasured nodes by using graph characteristics. The NLMS algorithm uses more information such as high frequency elements and update directions. Also, it is easy to apply other DSP methods. The topology of IEEE 118 bus system is assumed as DC power flow and used to verify the proposed algorithm. The conducted simulation shows the proposed algorithm achieves fast convergence rate and small steady-state error. This will be helpful to other power systems whose signals on graph have various frequency components.