Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem. The new methods are based on the two-grid methodology recently proposed by Xu and Zhou [Math. Comp., 70 (2001), pp. 17-25] and further developed by Hu and Cheng [Math. Comp., 80 (2011), pp. 1287-1301] for elliptic eigenvalue problems. The new two-grid schemes reduce the solution of the Maxwell eigenvalue proble...

Using the FACTS controllers, such as static synchronous compensator (STATCOM), as it provides continuous reactive power, in the grid including wind turbine (WT) equipped with doubly fed induction generator, for improving voltage profile (under normal circumstances) and providing a transition ability from inductor generator transition state has been proposed. In this paper, in order to contr...

The use of the doubly fed induction generator (DFIG) in modern variable-speed wind turbines has increased rapidly. According to the new grid code requirements, wind turbines generators must remainconnected to the grid during grid disturbances so crowbar protections systems is being used to protect the DFIG, this paper introduces a comparison between conventional crowbar protection, series crowb...

Using the FACTS controllers, such as static synchronous compensator (STATCOM), as it provides continuous reactive power, in the grid including wind turbine (WT) equipped with doubly fed induction generator, for improving voltage profile (under normal circumstances) and providing a transition ability from inductor generator transition state has been proposed. In this paper, in order to contr...

In [8], [10] we presented an approach method to realise a third and fourth order interpolation in two dimensions. In [8] we showed that interpolations of these type can be used as prolongation operator in the multi-grid method and we proved that the accuracy of the multi-grid method can be increased in this way. In this paper we study the optimal degree of the prolongation operator which the se...

A m ulti-grid, ux-diierence-split, nite-volume code, VULCAN, is presented for solving the elliptic and parabolized form of the equations governing three-dimensional, turbulent, calorically perfect and non-equilibrium chemically reacting ows. The space marching algorithms developed to improve convergence rate and or reduce computational cost are emphasized. The algorithms presented are extension...

For the integer D = pq of the product of two distinct odd primes, we construct an elliptic curve E2rD : y 2 = x3 − 2rDx over Q, where r is a parameter dependent on the classes of p and q modulo 8, and show, under Birch and Swinnerton-Dyer conjecture, that the elliptic curve has rank one and vp(x([k]Q)) 6= vq(x([k]Q)) for odd k and a generator Q of the free part of E2rD(Q). Thus we can get p or ...

This paper presents voltage fed current regulated rotor-side and grid-side control of doubly-fed induction generator (DFIG) under steady and transient conditions. The vector control of grid-side is made to control the active and reactive power flow from the utility grid to the grid side converter independently and also maintain the dc-link voltage constant. Machine-side control regulates the sp...