Title :
A study of the homogeneous algorithm for dynamic economic dispatch with network constraints and transmission losses
Author :
Jabr, Rabih A. ; Coonick, Alun H. ; Cory, Brian J.
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
fDate :
5/1/2000 12:00:00 AM
Abstract :
This paper presents a study of the homogeneous interior point (HIP) method for the economic dispatch problem that combines both independent blocks of constraints (generation demand balance, network flows) and coupling constraints (ramping) into a single optimization problem. By approximating the network constraints through the DC load flow, and the transmission losses through the B-matrix loss formula, the problem is reduced to a convex optimization problem that possesses nonlinear inequality constraints and free variables. The HIP algorithm is specialized in solving this problem, it yields either an approximate global optimum solution or detects possible infeasibility or unboundedness of the problem. The algorithm is tested on the IEEE 14, 30, 57, and 118 bus test systems dispatched over 10 half-hour intervals. The results show that the algorithm is practically efficient
Keywords :
load flow; losses; matrix algebra; optimisation; power generation dispatch; power generation economics; power transmission; B-matrix loss formula; DC load flow; IEEE 118 bus test system; IEEE 14 bus test system; IEEE 30 bus test system; IEEE 57 bus test system; convex optimization; coupling constraints; dynamic economic dispatch; free variables; generation demand balance; homogeneous algorithm; homogeneous interior point method; network constraints; network flows; nonlinear inequality constraints; optimization problem; ramping; transmission losses; Constraint optimization; Costs; Economic forecasting; Heuristic algorithms; Hip; Load flow; Power generation; Power generation economics; Propagation losses; System testing;
Journal_Title :
Power Systems, IEEE Transactions on