Reducing the capacitor voltage ripples of half-bridge submodules (HBSM) and full-bridge (FBSM) in a hybrid modular multilevel converter (MMC) is expected to reduce capacitance, volume, costs. To address this issue, article proposes dual harmonic injection method which injects second circulating current third-order into conventional MMC control. First, mathematical model proposed control establi...

This paper combines the use of multi-phase configurations and current harmonic injection methods to achieve significantly improved performance for doubly salient synchronous reluctance machines (DS-SRMs). In order understand torque production mechanism DS-SRMs with injection, some general analytical models have been developed. The are based on Fourier Series analysis self- mutual-inductances. I...

Submodule (SM) capacitor voltage ripples in modular multilevel converters (MMCs) can be suppressed by harmonic injection strategy, which reduce the volume and cost of MMCs. The existing methods using dual strategy for hybrid MMCs only consider steady-state conditions. Harmonic strategies unbalanced grid conditions use single applied single-phase faults. To address above issues, this paper propo...

The harmonic index H(G) , of a graph G is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in E(G), where deg (u) denotes the degree of a vertex u in V(G). In this paper we define the harmonic polynomial of G. We present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in Caterpill...

Recently, hybrid modular multi-level converters, which are configured as full and half bridge sub-modules, are developed and utilized in the wide area of applications. Compared to its non-hybrid counterpart, these converters have several advantages such as the ability to nullify the DC side fault current and controlling AC side reactive power during the faults. This paper proposes a modified ph...