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Active power dispatch method based on 1-norm for small-signal stability

To improve the small-signal stability margin, this paper proposes an active power dispatching method based on 1-norm. The model adopted in this method is with simple form, less number of iterations, high computation efficiency and strong convergence, which not only overcomes the problem that the traditional 2- norm optimization model often divides the smaller output regulation quantity into too many units, but also effectively reduces the execution time of the dispatching. In addition, a strict deduction derived from the eigenvalue functions with first order expansion of the Taylor series proves that the model is independent of the eigenvalue sensitivity of the slack bus, which is a great advantage. Testing the WSCC 3-machine 9-bus system and the New England 10-machine 39-bus system as the examples, we compare the result with 2-norm model, revealing that the proposed method has good optimization effect, high computation efficiency, feasible computational strategy and wide application prospects.