Study Of Stability Of Subsynchronous Resonance And Dynamic Bifurcation Of High-Dimensions Power System

Today the productivity is enhanced most by the rapid development of thescientific technology, and with increase of the industrialized production, thetraditional mode of mechanical production is replaced by the generative mode ofhigh mechanical-electrical integration. Along with these developments, theimportance of industrial energy sources is more serious. As the first energy source,the tempo and scales of electric power are obvious to all. In the large generating set,the mechanical torques, voltages and currents are larger and larger, these enhance thenonlinear interaction between mechanical and electrical. Now variouselectric-control components are more important than before and electric networksare more and more complex, along with these, two problems are serious than before,one problem is the oscillations of the interaction between mechanical and electrical,the other is the stability of the electric power system. These problems affect thesecurity and capability of electric power system severely, so study of nonlinear andbifurcation for mechanical and electrical interaction systems has most importantmeaning.On the basis of solution for fact engineering problems, this thesis obtain somemajor results as below:(1) Established unified mathematic model for generating set of incorporationin power network. This model is a dynamics system, which has 27 dimensions. Itobtain mechanical torsional equations, generator equations, mechanical regulative 3control equations and excitation equations, at the same time, consideredincorporation in infinite power network, so this model can represent the whole workstatus of electric system full.(2) Study the stability of the model, which has established above. Whensome sense organs are changed, system appears unstable phenomenon, which relatedsome various modes. Also give some important charts about stability of system bycalculation with MATLAB programs, when those sense organs changed.(3) By using the bifurcation analysis and methods, descending dimensions oforiginal system equations, follow by using Multiple-parameter Perturbation Method,Intrinsic Harmonic Balancing and Unification Technique, analysis and studybifurcation characteristic in Normal Form equations, at last detailed numeric analysisis presented to testify the theoretic results.