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Control Design Techniques in Power Electronics Devices by Hebertt J. Sira-Ramirez, Ramón Silva-Ortigoza

By Hebertt J. Sira-Ramirez, Ramón Silva-Ortigoza

This ebook bargains particularly with keep watch over theories proper to the layout of keep watch over devices for switched strength electronics units, for the main half represented by way of DC–DC converters and provides, through rectifiers of other types and via inverters with various topologies. The theoretical equipment for designing controllers in linear and nonlinear structures are followed by way of a number of case reviews and examples exhibiting their software within the rising box of energy electronics.

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Extra info for Control Design Techniques in Power Electronics Devices (Power Systems)

Example text

The switch position function is invariant with respect to the normalization process. 3 Equilibrium Point and Static Transfer Function One of the control objectives, which we desire to achieve when using or designing a DC-to-DC power converter, is to regulate the output voltage so as to stabilize it to a constant value or to track a given reference signal. In the case of stabilization it becomes quite important to understand the steady state behavior of the circuit. In the steady state regime, corresponding to constant equilibrium values, all time derivatives of the state variables in the description of the system are set to zero.

L i v C R (b) Switch position at u = 0. Fig. 22. Circuit topologies involved in the non-inverting Buck-Boost converter. 35) where i and υ are, respectively, the current through the inductor L and the voltage across the terminals of the capacitor C. The external source voltage E has a constant value. The variable u is the control input, which represents the switch position, restricted to take values in the discrete set {0, 1}. The control objective consists in regulating the output voltage υ around a desired equilibrium point.

E L i v C R (b) Switch position at u = 0. Fig. 17. Circuits topologies associated with the Buck-Boost converter. 26) where the variable x1 represents the normalized inductor current, x2 is the normalized output voltage and uav , represents, as before, the average control variable. 26) to be zero while the control variable is set to be uav = U = constant. 18 depicts the static transfer function of the BuckBoost converter. It is also clear that we may read the steady state output voltage of the system υ, in correspondence with the average control input equilibrium value U .

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