Free Trial

Safari Books Online is a digital library providing on-demand subscription access to thousands of learning resources.

  • Create BookmarkCreate Bookmark
  • Create Note or TagCreate Note or Tag
  • PrintPrint
Share this Page URL
Help

Chapter 5. The Transient Energy Function... > Approximation of Dissipation Energy ...

5.2.3. Approximation of Dissipation Energy Component

It is to be noted that the term in the energy expression corresponding to the dissipation component consists of a path dependent integral. This cannot be evaluated unless the system trajectory is known. Uyemura and colleagues [1] developed an approximation to this term based on a linear angle trajectory assumption. This approximation was then used by Athay and colleagues [2] and compared with the actual dissipation energy component evaluated along the trajectory. From the experience gained from numerous simulations, it has been found that for a first swing transient, this approximation is fairly accurate and has become standard practice in the TEF method to incorporate the effect of transfer conductances.

The approximation is derived as follows: let θi(t) and θj(t) represent the angular trajectories of machines i and j with respect to the time t, respectively. Let θa and θb represent the initial and final vectors, of angular positions for the n machines. The linear angle trajectory assumption is invoked between θa and θb and is expressed by


  

You are currently reading a PREVIEW of this book.

                                                                                                                    

Get instant access to over $1 million worth of books and videos.

  

Start a Free 10-Day Trial


  
  • Safari Books Online
  • Create BookmarkCreate Bookmark
  • Create Note or TagCreate Note or Tag
  • PrintPrint