Fusion rules for the charge conjugation orbifold

We completely determine the fusion rules for the vertex operator algebra $V_L^+$ for a rank one even lattice $L$.Comment: 33pages, LaTe

Finiteness of conformal blocks over compact Riemann surfaces

We study conformal blocks (the space of correlation functions) over compact Riemann surfaces associated to vertex operator algebras which are the sum of highest weight modules for the underlying Virasoro algebra. Under the fairly general condition, for instance, $C_2$-finiteness, we prove that conformal blocks are of finite dimensional. This, in particular, shows the finiteness of conformal blocks for many well-known conformal field theories including WZNW model and the minimal model.Comment: Latex2e 16page

Transformer design difficulties of current resonant converter for high power density and wide input voltage range

A current resonant converter including wider input voltage range and higher power density is required for various applications. However, in our study, it has been found that the drastic increasing of the transformer winding loss becomes a severe problem. This paper clarifies the mechanism of transformer winding loss occurrence and proposes the different resonant mode operation which solves the problem of the huge transformer loss.Future Energy Electronics Conference and ECCE Asia (IFEEC 2017 - ECCE Asia), 2017 IEEE 3rd International, 3-7 June 2017, Kaohsiung, Taiwa