Title :
Vectorial dynamic optimal power flow calculation including wind farms based on step-controlled primal-dual interior point method
Author :
Qin, Zhijun ; Yang, Yude ; Wu, Jiekang
Author_Institution :
Coll. of Electr. Eng., Guangxi Univ., Nanning
Abstract :
A vectorial implementation of dynamic optimal power flow (DOPF) including wind farms was presented. The vectorization of DOPF was established by arranging the control variables and state variables according to the variable types and time intervals. The asynchronous generators in wind farms were modeled in Q-V formulation. A step-controlled primal-dual interior point framework (SCIPM) with upper and lower inequality constrains was adopted to solve this DOPF model. The gradient and Hessian matrices of each time interval had relative non-zeros position with the admittance matrix, which was constant during iterations. Hence a sparse data structure and memory allocation strategy was utilized to accelerate the construction of KKT system. The effect of ramping rates and generation contract constrains on solving KKT system was analyzed in detail. Through computation statistics, it is confirmed that approximate minimum degree (AMD) reordering algorithm is most efficient with only ramping rate constrains, and column approximate minimum degree (COLAMD) reordering algorithm is most efficient with both ramping rate and generation contract constrains. Numerical simulations on test systems ranging in size from 14 to 1040 buses over 12~96 time intervals validate the correctness and efficiency of the proposed method. Vectorization technique with step-controlled primal-dual interior point method improves the calculation speed and convergence performance of DOPF.
Keywords :
Hessian matrices; asynchronous generators; gradient methods; load flow control; wind power plants; Hessian matrices; KKT system; Q-V formulation; admittance matrix; approximate minimum degree reordering algorithm; asynchronous generators; column approximate minimum degree reordering algorithm; dynamic optimal power flow; gradient matrices; ramping rate constrains; step-controlled primal-dual interior point method; vectorial dynamic optimal power flow calculation; wind farms; Acceleration; Admittance; Contracts; Data structures; Linear matrix inequalities; Load flow; Random access memory; Sparse matrices; Wind energy generation; Wind farms; dynamic optimal power flow; reordering algorithm; sparse technology; step-controlled primal-dual interior point method; vectorization; wind power generation;
Conference_Titel :
Electrical Machines and Systems, 2008. ICEMS 2008. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-3826-6
Electronic_ISBN :
978-7-5062-9221-4