{"product_id":"9783642275302","title":"SpringerBriefs in Applied Sciences and Technology","description":"\u003ch1\u003eSpringerBriefs in Applied Sciences and Technology\u003c\/h1\u003e \u003ch2\u003eManjarekar, N S; Banavar, Ravi N.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn this work we derive asymptotically stabilizing control laws for \u003cbr\u003eelectrical power systems using two nonlinear control synthesis techniques. \u003cbr\u003eFor this transient stabilization problem the actuator considered is \u003cbr\u003ea power electronic device, a controllable series capacitor (CSC). \u003cbr\u003eThe power system is described using two different nonlinear models - the second order swing equation and the third order flux-decay model. \u003c\/p\u003e\u003cp\u003eTo start with, the CSC is modeled by the injection model which is \u003cbr\u003ebased 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 a \u003cbr\u003ecomplex form - the injection model. Using this model, interconnection and damping assignment passivity-based control (IDA-PBC) \u003cbr\u003emethodology is demonstrated on two power systems: a single machine infinite bus (SMIB) system and a two machine system. \u003cbr\u003eFurther, IDA-PBC is used to derive stabilizing controllers for power systems, where the CSC dynamics are included as a first order system. \u003c\/p\u003e\u003cp\u003eNext, we consider a different control methodology, immersion and invariance (I\\\u0026amp;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\\\u0026amp;I, we incorporate the power balance algebraic constraints in the load bus to the \u003cbr\u003eSMIB swing equation, and extend the design philosophy to a \u003cbr\u003eclass of differential algebraic systems. The proposed result is then demonstrated on another example: a two-machine \u003cbr\u003esystem with two load buses and a CSC. The controller performances are validated through simulations for all cases. \u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-02-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642275302\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-27531-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 90\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":47397323767948,"sku":"9783642275302","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642275302.jpg?v=1775775112","url":"https:\/\/lateknightbooks.com\/products\/9783642275302","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}