ECE 476 POWER SYSTEM ANALYSIS Lecture 17 Economic Dispatch, OPF, Markets Muhammad Abdul Retha lefte Al-Badri Department of Electrical and Computer Engineering

Announcements l l Be reading Chapter 7 HW 7 is 12. 26, 12. 28, 12. 29, 7. 1 due October 27 in class. US citizens and permanent residents should consider applying for a Grainger Power Engineering Awards. Due Nov 1. See http: //energy. ece. illinois. edu/grainger. html for details. The Design Project, which is worth three regular homeworks, is assigned today; it is due on Nov 17 in class. It is Design Project 2 from Chapter 6 (fifth edition of course). l For tower configuration assume a symmetric conductor spacing, with the distance in feet given by the following formula: (Last two digits of your UIN+50)/9. Example student A has an EIN of xxx 65. Then his/her spacing is (65+50)/9 = 12. 78 ft. 1

Inclusion of Transmission Losses l l l The losses on the transmission system are a function of the generation dispatch. In general, using generators closer to the load results in lower losses This impact on losses should be included when doing the economic dispatch Losses can be included by slightly rewriting the Lagrangian: 2

Impact of Transmission Losses 3

Impact of Transmission Losses The penalty factor at the slack bus is always unity! 4

Impact of Transmission Losses 5

Calculation of Penalty Factors 6

Two Bus Penalty Factor Example 7

Thirty Bus ED Example Because of the penalty factors the generator incremental costs are no longer identical. 8