### Optimization and Systems Theory Seminar

Friday, June 8, 2001, 11.00-12.00, Room 3721, Lindstedtsvägen 25

**Erik Dotzauer **

Birka Energi AB

Stockholm

E-mail:
erik.dotzauer@birkaenergi.se

####
Energy system operation by Lagrangian relaxation

Due to its relatively high total energy efficiency, the application of
cogeneration, i.e. simultaneous exploitation of power and heat from
the energy transformation process, is receiving increased
attention. In order to improve the operation of such systems, it is
necessary to have detailed and reliable optimization models and
methods available. The same is also desirable for pure heating
systems, and for pure power systems. However, finding the optimal
plan for production of heat and power, possibly also taking into
account the optimal use of storage devices, is a difficult
optimization problem.
Finding the optimal production schedule for the near future is known
as the short-term planning problem or the unit commitment and economic
dispatch problem. Typically a time horizon of up to one week,
partitioned into one-hour time intervals, is considered. The problem
may be characterized as a nonlinear mixed integer optimization
problem, often large scale. The present talk deals with mathematical
models and Lagrangian relaxation based algorithms for short-term
planning of cogeneration and power systems. The aim is to present
ideas and theories that may be exploited in such algorithms to make
them more efficient.

Calendar of seminars

*Last update: May 10, 2001 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*