Reliability by design in distributed power transmission networks

Automatica

Volumn 42, Issue 8, 2006, Pages 1267-1281

  Chen, Mike ^a   Cho, In Koo ^b   Meyn, Sean P ^c  

^a MORGAN STANLEY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c University of Illinois at Urbana Champaign   (United States)

Author keywords

Inventory theory; Networks; Optimization; Power transmission

Indexed keywords

CONSTRAINT THEORY; ELECTRICITY; ENVIRONMENTAL IMPACT; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; SENSITIVITY ANALYSIS;

INVENTORY THEORY; NETWORKS; POWER NETWORK; RESERVE CAPACITY;

ELECTRIC POWER DISTRIBUTION;

EID: 33745495414     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.12.013     Document Type: Article

References (34)

1. Bell S.L., and Williams R.J. Dynamic scheduling of a system with two parallel servers in heavy traffic with complete resource pooling: Asymptotic optimality of a continuous review threshold policy. Annals of Applied Probability 11 (2001) 608-649
2. Borenstein S., Bushnell J., and Wolak F.A. Measuring market inefficiencies in California's restructured wholesale electricity market. American Economic Review 92 5 (2002) 1376-1405
3. Borkar, V., & Budhiraja, A. (2005). Ergodic control for constrained diffusions: Characterization using HJB equations. SIAM Journal on Control Optimization, 43(4), 1467-1492.
4. Borodin A.N., and Salminen P. Handbook of Brownian motion-facts and formulae. Probability and its applications. 1st ed. (1996), Birkhäuser Verlag, Basel (second ed. published 2002)
5. Bramson M. State space collapse with application to heavy traffic limits for multiclass queueing networks. Queueing Systems Theory Applications 30 (1998) 89-148
6. Chao H.-P., and Peck S. An institutional design for an electricity contract market with central dispatch. Energy Journal 18 (1997) 85-110
7. Chao, H.-P., Peck, S. C., Oren, S., & Wilson, R. B. (2000). Flow-based transmission rights and congestion management. Electricity Journal, 13(8), 38-58.
8. Chen, M. (2005). Modeling and control of complex stochastic networks, with applications to manufacturing systems and electric power transmission networks. Ph.D. Thesis, University of Illinois, USA.
9. Chen M., Dubrawski R., and Meyn S.P. Management of demand-driven production systems. IEEE Transactions on Automatic Control 49 2 (2004) 686-698
10. Chen M., Pandit C., and Meyn S.P. In search of sensitivity in network optimization. Queueing Systems Theory Applications 44 4 (2003) 313-363
11. Cho, I.-K., & Meyn, S. P. (2003). The dynamics of the ancillary service prices in power networks. In Proceedings of the 42nd IEEE conference on decision and control (Vol. 3, pp. 2094-2099), December 9-12.
12. Cho, I.-K., Meyn, S. P. (2005). Optimization and the price of anarchy in a dynamic newsboy model. submitted for publication.
13. Dai J.G. On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. Annals of Applied Probability 5 1 (1995) 49-77
14. Danzig G.B., Folkman J., and Shapiro N. On the continuity of the minimum set of a continuous function. Journal of Mathematical Analysis and Applications 17 (1967) 519-548
15. Down D.G., Meyn S.P., and Tweedie R.L. Exponential and uniform ergodicity of Markov processes. Annals of Probability 23 4 (1995) 1671-1691
16. Ethier S.N., and Kurtz T.G. Markov Processes: Characterization and Convergence (1986), Wiley, New York
17. Fleming, W. H., & Soner, H. M. (1993). Controlled Markov processes and viscosity solutions, volume 25 of Applications of Mathematics (New York). New York: Springer.
18. Galiana F.D., Almeida K., Toussaint J., Griffin J., Atanackovic D., Ooi B.T., and McGillis D.T. Assessment and control of the impact of facts devices on power system performance. IEEE Transactions on Power Systems 11 4 (1996) 1931-1936
19. Gershwin S.B. Manufacturing systems engineering (1993), Prentice-Hall, Englewood Cliffs, NJ
20. Glynn P.W., and Meyn S.P. A Liapunov bound for solutions of the Poisson equation. Annals of Probability 24 2 (1996) 916-931
21. Hajek B. Optimal control of two interacting service stations. IEEE Transactions on Automatic Control AC-29 (1984) 491-499
22. Hortacsu, A., & Puller, S. L. (2004). Testing strategic models of firm behavior in restructured electricity markets: A case study of ERCOT. CSEM, UC Energy Institute.
23. Kelly F.P., and Laws C.N. Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling. Queueing Systems Theory Applications 13 (1993) 47-86
24. Kushner H.J. Heavy traffic analysis of controlled queueing and communication networks (2001), Springer, New York Stochastic Modelling and Applied Probability
25. Martins L.F., Shreve S.E., and Soner H.M. Heavy traffic convergence of a controlled, multiclass queueing system. SIAM Journal on Control Optimization 34 6 (1996) 2133-2171
26. Meyn S.P. The policy iteration algorithm for average reward Markov decision processes with general state space. IEEE Transactions on Automatic Control 42 12 (1997) 1663-1680
27. Meyn S.P. Sequencing and routing in multiclass queueing networks. Part II: Workload relaxations. SIAM Journal on Control Optimization 42 1 (2003) 178-217
28. Meyn S.P. Dynamic safety-stocks for asymptotic optimality in stochastic networks. Queueing Systems Theory Applications 50 (2005) 255-297
29. Meyn S.P., and Tweedie R.L. Generalized resolvents and Harris recurrence of Markov processes. Contemporary Mathematics 149 (1993) 227-250
30. Meyn S.P., and Tweedie R.L. Markov Chains and Stochastic Stability (1993), Springer, London
31. Robinson S. The price of anarchy. SIAM Newsletter 37 5 (2004) 1-4
32. Robinson S. Math model explains high prices in electricity markets. SIAM News 38 7 (2005) 8-10
33. Sethi S.P., and Thompson G.L. Optimal Control Theory: Applications to Management Science and Economics (2000), Kluwer Academic Publishers, Boston
34. Wein L.M. Dynamic scheduling of a multiclass make-to-stock queue. Operations Research 40 4 (1992) 724-735