| Abstract |
We will study the issues of controllability multidimensional phase system. It is reduced to a system of nonlinear differential equations, for which we develop a method proposed in / 1 /. Consider the following model of the phase system, "synchronous generator- steam turbine," described by differential equations of the form
dδ/dt=S,
T_j dS/dt=P_T-KS-[E^2/z_11 sinα_11+EU/z_12 sin(δ-α_12)], (1)
T_P (dP_T)/dt=-P_T+ρ_o P_0-P_0/σ_0 S+u,
where P_T-power steam turbine; T_P-time constant cycle regulation of the steam turbine; ρ_o 〖,P〗_0 defined constants (ρ_o-start opening the windows spool, P_0-rated power turbines); σ_0-statism Archway (automatic speed control) u - control effects MUT (turbine control mechanism); δ - angle EMF generator; S-slip generator; T_j- constant inertia of the rotating masses; K> 0 - damping coefficient; E-EMF generator design; U-busbar voltage infinite capacity z_11- inherent resistance of the generator; z_12-mutual impedance between the generator and tires; α_11-additional angle own resistance; α_12-additional angle relative resistance.
Suppose that the following parameters of the system of regulation of the steam turbine: ρ_o=0.994,T_P=251.2,P_0=10420,σ_0=0.06.
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