Solution of non-linear optimization problems in power systems†

Control of Complex Systems

“…Optimal control of this turbo-generator unit was previously examined by , Mukhopadhyay and Malik (1973), and . We briefly describe the system and more details may be found in the above references.…”

A Survey of the Power System Control Problem

“…When an open loop solution is desired, an iterative technique called "gradient method" [6] is used to solve the T.P.B.V.P• A quasi-linearisation technique, used by Makhopadhyay and Malik [3], for solving the optimisation problem may be applied to obtain partial feed-back control laws which are preferred for practical implementation. This technique suffers from divergence of the algorithm if the initial guess trajectory is not well selected.…”

“…A 6th order model of a turbogenerator , given in refererce [3], has been taken as a test example for comparing the computation time required to achieve the objective: This problem is solved by different techniques the paragraphs below gives a comparison between the different cases.…”

“…We shall present here some of the results obtained from applying the above-mentioned techniques, namely: gradient, quasilinearisation, dynamic programming and hierachical methods. The non-linear six order power system model, developed in reference [3], has been used for testing these techniques.…”

“…Several techniques were proposed, either by using the classical methods [1] of automatic control, or by utilising the optimal control [2][3][4][5][6][7][8][9][10][11][12]. It is found clearly that the second approach is well adapted for treating the non-linear problems and for those requiring the design of output feed-back controllers.…”