A coordinated economic dispatch method for multi-area power systems is proposed. Choosing boundary phase angles as coupling variables, the proposed method exploits the structure of critical regions in local problems defined by active and inactive constraints. For a fixed boundary state given by the coordinator, local operators compute the coefficients of critical regions containing the boundary state and the optimal value functions then communicate them to the coordinator who in turn optimizes the boundary state to minimize the overall cost. By iterating between local operators and the coordinator, the proposed algorithm converges to the global optimal solution in finite steps, and it requires limited information sharing.

%B IEEE Transactions on Power Systems %P 1 - 1 %8 01/2017 %! IEEE Trans. Power Syst. %R 10.1109/TPWRS.2017.2655442 %0 Journal Article %J IEEE Transactions on Power Systems %D 2011 %T Transition to a Two-Level Linear State Estimatorâ€”Part II: Algorithm %A Tao Yang %A Sun, Hongbin %A Anjan Bose %K AA05-002 %K AARD %K Automatic Switchable Network (ASN) %K phasor measurement units (PMUs) %K smart grid %X The availability of synchro-phasor data has raised the possibility of a linear state estimator if the inputs are only complex currents and voltages and if there are enough such measurements to meet observability and redundancy requirements. Moreover, the new digital substations can perform some of the computation at the substation itself resulting in a more accurate two-level state estimator. The main contribution in this paper is that this two-level processing removes the bad data and topology errors, which are major problems today, at the substation level. In Part I of the paper, we describe the layered architecture of databases, communications, and the application programs that are required to support this two-level linear state estimator. In Part II, we describe the mathematical algorithms that are different from those in the existing literature. As the availability of phasor measurements at substations will increase gradually, this paper describes how the state estimator can be enhanced to handle both the traditional state estimator and the proposed linear state estimator simultaneously. This provides a way to immediately utilize the benefits in those parts of the system where such phasor measurements become available and provides a pathway to transition to the "smart" grid of the future. %B IEEE Transactions on Power Systems %V 26 %P 54 - 62 %8 02/2011 %N 1 %! IEEE Trans. Power Syst. %R 10.1109/TPWRS.2010.2050077 %0 Conference Paper %B 2009 IEEE/PES Power Systems Conference and Exposition (PSCE) %D 2009 %T Two-level PMU-based linear state estimator %A Tao Yang %A Sun, Hongbin %A Anjan Bose %K AA05-002 %K AARD %K Automatic Switchable Network (ASN) %K phasor measurement units (PMUs) %K power system control %XThe State Estimator function in a control center today is a suite of three programs solved sequentially: topology processing, state estimation, and bad data detection-identification. The state estimation equations are nonlinear because the inputs are mostly real and reactive power measurements. A linear state estimator is possible if the inputs are only complex currents and voltages and if there are enough such measurements to meet observability and redundancy requirements. The main contribution in this paper is the suggestion that the topology processing function and the bad data detection-identification be done at each substation rather than at the control center. It is shown how this two-level processing is faster and more accurate leaving the control center level state estimator solution free of the bad data errors that are major problems today.

%B 2009 IEEE/PES Power Systems Conference and Exposition (PSCE) %I IEEE %C Seattle, WA, USA %P 1 - 6 %8 03/2009 %@ 978-1-4244-3810-5 %R 10.1109/PSCE.2009.4840218