Generator dynamics in aeroelastic analysis and simulations

This report contains a description of a dynamic model for a doublyfed induction generator implemented in the aeroelastic code HAWC. The model has physical input parameters (resistance, reactance etc.) and input variables (stator and rotor voltage and rotor speed). The model can be used to simulate the generator torque as well as the rotor and stator currents, active and reactive power. A perturbation method has been used to reduce the original generator model equations to a set of equations which can be solved with the same time steps as a typical aeroelastic code. The method is used to separate the fast transients of the model from the slow variations and deduce a reduced order expression for the slow part. Dynamic effects of the first order terms in the model as well as the influence on drive train eigenfrequencies and damping has been investigated. Load response during time simulation of wind turbine response have been compared to simulations with a linear static generator model originally implemented i HAWC. A 2 MW turbine has been modelled in the aeroelastic code HAWC. When using the new dynamic generator model there is an interesting coupling between the generator dynamics and a global turbine vibration mode at 4.5 Hz, which only occurs when a dynamic formulation of the generator equations is applied. This frequency can especially be seen in the electrical power of the generator and the rotational speed of the generator, but also as torque variations in the drive train. The present report has passed an internal review at the Wind Energy Department at Riso National Laboratory, performed by: ISBN 87-550-3188-9 ISBN 87-550-3189-7 (internet) ISSN 0106-2840 Print: Pitney Bowes Management Services Denmark A/S, 2003.

[1]  P. Kokotovic,et al.  An integral manifold approach to reduced order dynamic modeling of synchronous machines , 1988 .

[2]  I. Blekhman Vibrational Mechanics: Nonlinear Dynamic Effects, General Approach, Applications , 2000 .

[3]  Torben J. Larsen Description of the DLL regulation interface in HAWC , 2001 .

[4]  Torbjörn Thiringer,et al.  Measurements and Modelling of Low-Frequency Disturbances in Induction Machines , 1996 .

[5]  E. Drennan,et al.  Invariant manifolds and start-up dynamics of induction machines , 1989, The Proceedings of the Twenty-First Annual North American Power Symposium.

[6]  S. Ahmed-Zaid,et al.  Structural modeling of small and large induction machines using integral manifolds , 1991 .

[7]  J. Mann Wind field simulation , 1998 .

[8]  P. Kokotovic,et al.  Integral manifold as a tool for reduced-order modeling of nonlinear systems: A synchronous machine case study , 1989 .

[9]  Pál K. Kovács,et al.  Transient Phenomena in Electrical Machines , 1984 .

[10]  Jon Juel Thomsen,et al.  Theories and experiments on the stiffening effect of high-frequency excitation for continuous elastic systems , 2003 .

[11]  Paul C. Krause,et al.  Analysis of electric machinery , 1987 .

[12]  G. G. Richards Reduced order model for single and double cage induction motors during start-up , 1988 .

[13]  J. Thirstrup Petersen The aeroelastic code HawC - model and comparisons , 1996 .

[14]  Gill G. Richards,et al.  Simplified Models for Induction Machine Transients under Balanced and Unbalanced Conditions , 1981, IEEE Transactions on Industry Applications.