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The problem of allocating the customers' load demands among the available thermal

Application of model predictive control to dynamic economic emission dispatch with transmission losses. (i) Load-generation balance. (ii) Generation capacity. Significant cost savings. A Small improvement in the SED.

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The problem of allocating the customers' load demands among the available thermal

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  1. Application of model predictive control to dynamic economic emission dispatch with transmission losses

  2. (i) Load-generation balance (ii) Generation capacity Significant cost savings A Small improvement in the SED The problem of allocating the customers' load demands among the available thermal power generating units in an economic, secure and reliable way has received considerable attention since 1920 or even earlier Static Economic Dispatch (SED)

  3. It may fail to deal with the large variations of the load • demand due to the ramp rate limits of the generators • It does not have the look-ahead capability Drawbacks

  4. Subject to (i) Load-generation balance (ii) Generation capacity (iii) Ramp rate limits Dynamic Economic Dispatch (DED) P1 P2 PN 0 T 2T NT

  5. Minimize Cost Objective function Minimize Emission Maximize Profit Equality Constraints Inequality Dynamic Math. Programming Method of Solution AI Techniques HybridMetheds Optimal Dynamic Dispatch

  6. The cost function Smooth Non smooth

  7. Periodic Implementation of DED Technical Deficiencies If the solutions are implemented repeatedly and periodically due to the cyclic consumption behavior and seasonal changes of the demand.

  8. Subject to (i) Load-generation balance (ii) Generation capacity (iii) Ramp rate limits Problem DED-(P)

  9. Problem DED-(P1,U) (i) (ii) (iii) DED in control system framework

  10. The solution of DED is an open-loop A closed-loop solution is needed Model predictive control method • Modeling uncertainties • External disturbances • Unexpected reaction of some of the power system components

  11. The idea of MPC

  12. Model Predictive Control Approach to DED MPC Algorithm and let m=0 Input the initial status (1) Compute the open-loop optimal solution of DED-(P1,U) (2) The (closed-loop) MPC controller is applied to the system in the sampling interval [m+1, m+2) to obtain the closed loop MPC solution over the period [m+1, m+2) (3) Let m:=m+1 and go to step (1)

  13. Convergence Theorem 1. Suppose that problem DED-(P1,U) is solvable, P* is the globally optimal solution of the DED-(P) problem, then MPC Algorithm converges to P* if

  14. Robustness Theorem 2. Suppose that 1- problem DED-(P1,U) is solvable, 2- P* is the globally optimal solution of DED-(P) 3- 4- the following is executed in step (2) of MPC Algorithm 5- the disturbance is bounded Then MPC Algorithm converges to the set

  15. DED with emission limitations The emission of gaseous pollutants from fossil-fueled thermal generator plants including , • Installation of pollutant cleaning • Switching to low emission fuels • Replacement of the aged fuel burners with cleaner ones; • Emission/economic dispatch (I) Emission Constrained Dynamic Economic Dispatch (II) Dynamic Economic Emission Dispatch

  16. Dynamic Economic Emission Dispatch (DEED) (i) (ii) (iii)

  17. Simulation Results Ten units system

  18. Thank You

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