We propose a new criterion for measuring dependence between two real variables, namely, Multi-level Wavelet Mapping Correlation (MWMC). MWMC can capture the nonlinear dependencies variables by their correlation under different levels of wavelet mappings. show that empirical estimate converges exponentially to its population quantity. To support independence test better with MWMC, we further des...

• Not considering single-phase peak current would underestimate imbalance induced additional reinforcement costs (ARCs). Adopting a probability study of ARC promotes its credibility on making investment decisions phase balancing. With the increase average load for LV networks, their ARCs do not continuously increase. Phase (i.e., among three phases) causes inefficient use three-phase distributi...