Enantioselective oxidative couplings of 4-hydroxycarbazoles using a chiral dinuclear vanadium(V) complex have been achieved for the first time. Under the mild reaction conditions, the corresponding dimeric 4-hydroxycarbazoles were obtained in up to 90% ee.
-This paper presents mathematical models for high speed permanent-magnet synchronous machine. The mathematical method with two successive steps is used to estimate design parameter as well as the output power. At first, mathematical model for a linkage flux problem is employed to calculate the number of winding turns and stack length of armature core. The magnetic circuit model for an induced voltage and the electric circuit model for a current are modeled. The output powers of the electrical generator were evaluated by the mathematical techniques. The results of this mathematical methods predict the specifications of the machine and can be applied in the design stage of the electrical machine.
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