O'Reilly logo

The Economics of Electricity Markets by Mohammad Reza Hesamzadeh, Darryl R. Biggar

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

7Efficient Dispatch of Generation and Consumption Resources in the Presence of Network Congestion

In Chapter 6, we showed how we can express the physical limits of an electricity network as a set of linear constraint equations. In this chapter, we introduce these constraint equations into the optimal dispatch task to find the combination of production and consumption that maximises economic welfare subject to the physical constraints of the network.

7.1 Optimal Dispatch with Network Constraints

Previously, we defined the net injection of electric power at a node as the total production of producers at that node less the total consumption of consumers:

equation

Using the benefit function introduced in Section 4.6 and the set of linear constraints derived from the DC Load Flow model introduced in Section 6.2, ignoring losses, the optimal dispatch problem can be written as follows:

equation

subject to

  1. The energy balance equation img and
  2. The generic network constraints img

Recall that node N is chosen to be the reference node ( for all links l).

The KKT conditions for this constrained optimisation problem ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required