Performance limitations arising in the control of power plants

Abstract This paper presents results on performance limitations for direct fired coal power plants. A specific feature of this system is the existence of a very large input delay between one of the inputs, namely coal flow, and the two outputs, load and vapour pressure. This problem motivates the main theoretical question addressed in this paper: To examine tracking performance limitations in one process variable when another process variable is constrained. Our main result makes explicit the performance trade-off between the two conflicting objectives, and also links the achievable performance to the delay structure of the plant. These results give insights into the benefits of MIMO control for power plants and into the necessary trade-off between fast tracking of load step changes and the need for minimizing the variations of the vapour pressure around its nominal value. The results provide a benchmark against which practical controller designs for power plants can be assessed.

[1]  Sergio Bittanti,et al.  Multivariable model predictive control of a thermal power plant with built-in classical regulation , 2001 .

[2]  Wei Li,et al.  Robust controller design for simultaneous control of throttle pressure and megawatt output in a power plant unit , 1999, Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328).

[3]  Li Qiu,et al.  Best achievable tracking performance in sampled-data control systems , 2002 .

[4]  Jie Chen,et al.  Best tracking and regulation performance under control effort constraint , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[5]  M. E. Salgado,et al.  Performance bounds for feedback control of non-minimum phase MIMO systems with arbitrary delay structure , 2005 .

[6]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[7]  D. Luenberger Optimization by Vector Space Methods , 1968 .

[8]  L. Qiu,et al.  Tracking performance limitations in LTI multivariable discrete-time systems , 2002 .

[9]  G. Poncia Multivariable power plant control , 2003 .

[10]  Damian Flynn,et al.  Thermal Power Plant Simulation and Control , 2003 .

[11]  Eduardo I. Silva,et al.  Time-domain performance limitations arising from decentralized architectures and their relationship to the RGA , 2005 .

[12]  Palle Andersen,et al.  Optimization of Boiler Control to Improve the Load-following Capability of Power-plant Units: , 1998 .

[13]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[14]  N. W. Rees,et al.  Modelling and control of pulverised fuel coal mills , 2003 .

[15]  Adi Ben-Israel,et al.  Generalized inverses: theory and applications , 1974 .

[16]  Gang Chen,et al.  Best tracking and regulation performance under control energy constraint , 2003, IEEE Trans. Autom. Control..