Abstract. This paper describes an original approach dealing with AC/DC winding design in electrical machines. A research software called "ANFRACTUS Tool 1.0", allowing automatic generation of all windings in multi-phases electrical machines, has been developed using the matrix representation. Unlike existent methods, where the aim is to synthesize a winding with higher performances, the proposed method provides the opportunity to choose between all doable windings. The specificity of this approach is based on the fact that it take only the slots, phases and layers number as input parameters. The poles number is not requested to run the generation process. Windings generation by matrix representation may be applied for any number of slots, phases and layers. The software do not deal with the manner that coils are connected but just the emplacement of coils in each slot with its current sense. The waveform and the harmonic spectrum of the total magnetomotive force (MMF) are given as result.

Power Electronics converters become nowadays the most important part in Wind Energy Conversion Systems (WECS). They are an intermediate between the generator and grid to achieve low cost, high power density and reliability. This paper deals with the analysis on the topology and control of the most power Electronics Converters for generators using in WECS. Design, (dis)advantages, and market penetration are analyzed and discussed. The control includes maximum power point tracking, dc bus voltage control, balancing of the dc capacitor voltages, and reactive power generation are also analyzed. Simulations have been carried out using MATLAB/SIMULINK on the control strategies for the case of back to back converter with Pulse Width Modulation (PWM) demonstrating its good potential to meet the grid connection requirements. Keywords: Wind Energy Conversion Systems (WECS), power electronics converters, back to back converter, maximum power point tracking, Pulse Width Modulation (PWM).

In this paper, a method to calculate the winding factor by only considering stator parameters without the rotor ones is developed. This is interesting because it allows the separation of the stator and rotor design, unlike the existing methods in the literature. A general method based on the matrix representation of a winding is presented. This approach requires the knowledge of four parameters : i) slots number, ii) phases number, iii) layers number, and iv) single-phase spatial distribution. A new feature of the multi-layer windings is introduced, it is called false-zero windings, which is divided into two categories: i) α-windings (i.e., odd false-zero windings), and ii) β-windings (i.e., even false-zero windings). The windings having no false-zero are categorized as γ-windings. The calculations are applied for single and multi-phase/-layer windings. The results of the comparison are satisfactory. The code used for the calculation is given in Appendix.