Dynamic Economic Dispatch Using Lagrangian Relaxation With Multiplier Updates Based on a Quasi-Newton Method

To accommodate large-scale integration of renewable generation, look-ahead power dispatch, which is essentially a type of dynamic economic dispatch (DED), is widely used in power system operation. DED can be reduced to a two-stage dual problem via Lagrangian relaxation. The major challenge to solving this dual problem robustly and efficiently is the multiplier updating strategy. To solve the dual problems of quadratic DEDs, this paper proposes multiplier updating based on a quasi-Newton method, together with an initialization strategy for the multipliers and the approximation matrix. Comparative numerical tests are carried out to verify the performance of this technique in terms of convergence, computational efficiency, and robustness.