Bifurcation Control: Theory and Applications by Guanrong Chen, David John Hill, Xinghuo Yu
By Guanrong Chen, David John Hill, Xinghuo Yu
Bifurcation keep watch over refers back to the job of designing a controller which may alter the bifurcation houses of a given nonlinear method, in order to in achieving a few fascinating dynamical behaviors. There exists no related keep watch over theory-oriented booklet out there that's dedicated to the topic of bifurcation regulate, written through keep watch over engineers for keep an eye on engineers. World-renowned top specialists within the box supply their cutting-edge survey in regards to the huge learn that has been performed over the past few years during this topic. The publication isn't just aimed toward energetic researchers within the box of bifurcation regulate and its purposes, but in addition at a basic viewers in similar fields.
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References 1. Abed, E. , Wang, H. , Alexander, J. , Hamdan, A. M. , Lee, H. C. (1993) Dynamic bifurcations in a power system model exhibiting voltage collapse. Int. J. of Bifur. Chaos, 3:1169–1176 2. Abed, E. , Varaiya, P. P. (1984) Nonlinear oscillations in power system. Int. J. of Electr. , 6:37–43 3. Ajjarapu, V. , Lee, B. (1992) The continuation power flow: A tool for steady state voltage stability analysis. IEEE Trans. , 7:416–423 4. Ajjarapu, V. , Lee, B. (1992) Bifurcation theory and its application to nonlinear dynamical phenomena in an electric power system.
For this problem, power electronics engineers have derived an effective solution approach, known as ramp compensation, which has become the industry standard for currentmode control of dc/dc converters. In this chapter, the problem is reexamined in the light of bifurcation analysis. It is shown that such an analysis allows convenient prediction of stability boundaries and facilitates the selection of parameter values to guarantee stable operation. It also permits new phenomena to be discovered.
P. (1984) Nonlinear oscillations in power system. Int. J. of Electr. , 6:37–43 3. Ajjarapu, V. , Lee, B. (1992) The continuation power flow: A tool for steady state voltage stability analysis. IEEE Trans. , 7:416–423 4. Ajjarapu, V. , Lee, B. (1992) Bifurcation theory and its application to nonlinear dynamical phenomena in an electric power system. IEEE Trans. , 7:424–431 5. Budd, C. , Wilson, J. P. (2002) Bogdanov-Takens bifurcation points and Sil’nikov homoclinicity in a simple power-system model of voltage collapse.