
State‐space representation of DFIG‐based wind power plants
Author(s) -
Díaz Guzmán,
GonzálezMorán Cristina,
Viescas Ceferino
Publication year - 2013
Publication title -
iet renewable power generation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.005
H-Index - 76
eISSN - 1752-1424
pISSN - 1752-1416
DOI - 10.1049/iet-rpg.2012.0005
Subject(s) - representation (politics) , control theory (sociology) , state space representation , induction generator , state space , frame (networking) , computer science , grid , doubly fed electric machine , generator (circuit theory) , matrix (chemical analysis) , state (computer science) , wind power , simple (philosophy) , control engineering , electric power system , control (management) , power (physics) , mathematics , ac power , algorithm , artificial intelligence , engineering , physics , philosophy , materials science , law , composite material , telecommunications , geometry , epistemology , quantum mechanics , political science , statistics , politics , electrical engineering
This study shows a methodology for state‐space representation of large wind power plants, through models that include the dynamics of the internal grid. The methodology presented fundamentally separates plant and controls at the stage of formation of the model. It is shown then that most of the plant can be built up from elementary RL branches – with special clarification about the reduction of the induction machine to an RL network – that are put together by means of a incidence matrix. The problems and solutions of reference frame dynamics – complex because of the existence of two control frames for the doubly‐fed induction generator and different frames in the grid, one for each generator – are also discussed. The control is separately formulated into a gain matrix, and control and plant are put together by simple matrix algebra. As a result, detailed, large systems can be easily formed. The study shows an example in which ten generators are considered and shows that there may appear particular dynamic features when multi‐machine systems (rather than single, aggregated machine systems) are represented.