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- 2010 Annual Meeting
- Computing and Systems Technology Division
- Optimization and Control of Energy Systems I
- (418a) Parameter Estimation for Flexible Fuel Energy Conversion Networks
In this paper, we use a previously introduced steady state bilinear model to model real power plants. This class of bilinear models incorporates first and second law principles from finite-time thermodynamics to predict energy conversion networks. We seek models that capture the behavior of work output over a range of heat inputs. These models need to contain enough complexity to accurately capture the work output behavior but more simplistic models require estimation of fewer parameters.
From a given energy conversion network model we compute a unique mapping from the decision variables and heat input to output work. We call this the input/output model of the energy conversion network. A given input/output model may have multiple network realizations. We demonstrated the realization of a one engine/three node and a one engine/four node model from plant data reported in a report published by the California Energy Commission.
Calibration of the model uses measured work output as a function of heat input. Typically this data are available in the form of heat rate curves. Given a particular model and data set, a data fitting procedure is developed to determine the parameters that give the best calibrated model for the data.
In summary, this paper presents three main results:
? Several options of potential energy conversion network models are reviewed and the resulting functional forms of the work output as rational functions of entropy flux with temperature parameters.
? A methodology is introduced for modeling flexible energy conversion networks using a class of bilinear models introduced in an earlier paper.
? Using heat rate curve data from real plants, the estimation of the parameters associated with the energy conversion network model is demonstrated.