In this paper,a new kind of wavelet decomposition called Energy Preserving (E-P) Diffusion Wavelet is purposed,based on the theory of diffusion wavelet and the ideas of Volume/Area Flow.

Wavelet forward and backward diffusion is based on wavelet diffusion theory.

Based on Shape Context, this method is a 2D invariance shape matching algorithm, integrated with improved contour extraction algorithm, pretreatment (diffusion filter algorithm) and normalization method, which make it suitable for both simple shape and face shape matching.

This method is proved to be the second order finite difference solution of the diffusion wave.

The diffusion wave equation is based on the neglect of the inertia terms from the momentum equation of the De Saint Venant flow equations, and it has been demonstrated that the model is a good method for flood routing with enough accuracy and relatively simply.

This paper proposes a flood routing model based on the analytical solution of the linear diffusion wave equation with free downstream conditions.

By building a simplified model of power distribution system,this paper discusses how different detecting modes and installation positions of shunt active power filter on a single feeder affect the system stability and the harmonic propagation damping.