Title
Nonlinear Control Synthesis for Electrical Power Systems Using Controllable Series Capacitors (SpringerBriefs in Applied Science,Used
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In this work we derive asymptotically stabilizing control laws forelectrical power systems using two nonlinear control synthesis techniques.For this transient stabilization problem the actuator considered isa power electronic device, a controllable series capacitor (CSC).The power system is described using two different nonlinear models the second order swing equation and the third order fluxdecay model.To start with, the CSC is modeled by the injection model which isbased on the assumption that the CSC dynamics is very fast as compared to the dynamics of the power system and hence can be approximated by an algebraic equation. Here, by neglecting the CSC dynamics, the input vector $g(x)$ in the open loop system takes acomplex form the injection model. Using this model, interconnection and damping assignment passivitybased control (IDAPBC)methodology is demonstrated on two power systems: a single machine infinite bus (SMIB) system and a two machine system.Further, IDAPBC is used to derive stabilizing controllers for power systems, where the CSC dynamics are included as a first order system.Next, we consider a different control methodology, immersion and invariance (I&I), to synthesize an asymptotically stabilizing control law for the SMIB system with a CSC. The CSC is described by a first order system. As a generalization of I&I, we incorporate the power balance algebraic constraints in the load bus to theSMIB swing equation, and extend the design philosophy to aclass of differential algebraic systems. The proposed result is then demonstrated on another example: a twomachinesystem with two load buses and a CSC. The controller performances are validated through simulations for all cases.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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