Weighted Least Absolute Value state estimation using interior point methods

Singh, Himmat; Alvarado, F.L.

doi:10.1109/59.336114

Cited by 89 publications

(28 citation statements)

References 25 publications

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“…Interest of using interior point method is described in the work of Clements et al [13]. Application of interior point method is extended in [14][15]. The work reported in [13], [14] is different from the work described in this paper.…”

Section: Introductionmentioning

confidence: 68%

“…Application of interior point method is extended in [14][15]. The work reported in [13], [14] is different from the work described in this paper. In [13] logarithmic barrier function is directly used in solving the problem.…”

Section: Introductionmentioning

confidence: 90%

“…In [13] logarithmic barrier function is directly used in solving the problem. In [14] the authors formulated the state estimation problem as an optimization problem and used the barrier function method in solving the primal formulation and affine scaling method in solving the dual formulation of the problem.…”

Section: Introductionmentioning

confidence: 99%

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State Estimation of the Tanzanian Power System Network Using Non-Quadratic Criterion and MATLAB Environment

Kusekwa¹

2014

IJEPE

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Abstract:Power system state estimation is an effective online tool for monitoring, control and for providing consistent database in energy management systems. This paper presents an algorithm for state estimation of the Tanzanian power system network using a non-quadratic state criterion. Equality and inequality constraints existing in a power system are included in formulating the estimation problem. Equality constraints are target values used in load flow analysis and are included in power system state estimation in order to restore observability to those parts of the power system network which are permanently or temporarily unobservable. Inequality constraints are limits such as minimum and maximum reactive power generation, transformer tap and phase-shift. The solution techniques used is primal-dual interior point logarithmic barrier functions to treat the inequality constraints. An algorithm is developed using the method and a program coded in MATLAB is applied in implementing the simulation. Computational issues arising in the implementation of the algorithm are presented. The simulation results demonstrate that the primal-dual logarithmic barrier interior point algorithm is a useful numerical tool to compute the state of an electrical power system network. The inequality constraints play essential role in enhancing the reliability of the estimation results. Also, it is expected that significant benefit could be gained from application of the constrained state estimation algorithm to the Tanzanian power system network.

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Section: Introductionmentioning

confidence: 68%

Section: Introductionmentioning

confidence: 90%

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State Estimation of the Tanzanian Power System Network Using Non-Quadratic Criterion and MATLAB Environment

Kusekwa¹

2014

IJEPE

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“…As for the criterion related to the topology, denoted by J T , it is a function of the operational conditions (4) and exploits the highly selective interpolation properties of the Weighted Least Absolute Value (WLAV) estimators [15]. In the current application, such properties are useful for determining the right set of conditions describing the network topology.…”

Section: Mathematical Formulation and Solution Proceduresmentioning

confidence: 99%

Topology validation via simultaneous state & topology estimation with phasor data processing capability

Andreoli¹,

Costa²,

Clements

2014

2014 Power Systems Computation Conference

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This paper introduces a simultaneous state and topology estimation method able to process both conventional (SCADA) and synchrophasor measurements. It is devised to extract from the analog measurements not only estimates for the state variables, but also information concerning the underlying network topology. This can be accomplished by representing selected parts of the electrical network at bus section level, and by using a specialized, multiobjective optimization framework to formulate the joint estimation problem. The multiobjective criterion comprises both the familiar weighted least squares term and an additional least absolute value component that models switching branch statuses. The proposed approach can be seen as a validation step for the outcome produced by Network Processors, thereby preventing the occurrence of topology errors. The results presented in this paper show that the joint estimation approach can be extended to allow phasor measurement processing capability, and that the whole scheme can draw significant benefits from such an extension.

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“…m a P Figure 4 despites the properties of the used LP estimator : the curve "number of measurements exactly satisfied" follows the curve "ratio load to losses", this positive behaviour results from the choice of the weights. A very efficient way to solve this linear problem is to apply the affine scaling algorithm to the dual formulation [7,8].…”

Section: A Ehv French Networkmentioning

confidence: 99%

Estimation of transmission loss coefficients from measurements

Fliscounakis¹,

Lafeuillade²,

Limousin³

2005

2005 IEEE Russia Power Tech

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The French system's losses rise nearly up to 12 TWh per year, attributed to the Joule effect. Therefore, the purchase of losses is of high importance from both a technical and an economic point of view, as they are valued up to several hundreds MEuros per year. The problem addressed in this paper is the calculation of transmission loss coefficients when the only information available are active injections measurements and active balance sheets.Index Terms-power losses, transmission loss coefficients, weighted least absolute value estimation I. CONTEXTAs the French TSO, and according to French Law, RTE has to compensate for electrical losses on the EHV and HV networks (especially the current squared resistive losses ). These losses amount to around 12 TWh per year. In order to do this, in France, RTE buys from various sources (from the yearly horizon to D-2) the volume corresponding to the predicted losses. The challenge, therefore, is to secure predictions for these losses for the year down to 2 days. The functional analysis of theses questions is presented in [11]. We focus here on the detailed presentation of one of the models, which can be used for losses estimations (and then predictions). II. POLYNOMIAL LOSS MODELSWhen the network topology is perfectly known and remains constant, the transmission losses can be evaluated efficiently as a quadratic function of generating units through a set of ``A coefficients``. Nanda and all showed that these ``A-coefficients'' are robust and don't have to be re-evaluated, even for large changes in loading pattern of the system [1]. This approach requires a representative snapshot of system operating conditions used as a reference base case and a perturbation technique of the power generation at every plant bus. However the short term forecasts require the identification of transmission loss coefficients from active generation measurements covering a wide operation range of the EHV/HV network. This paper combines the idea of piece-wise analytical loss model [2] and a parameter state estimation, the goal is an improvement of empirical equivalent hours loss factors [3,4] when the transmission losses depends significantly on generation schedules and wheeling. The practical use of the polynomial loss models is limited by the topology changes which affect the "commons" defined as the sets of contiguous busses supplied by the same generators [5]. A consequence is, for example, that the branch power losses cannot be approximated by one set of ``A-coefficients`` when the time sample topologies do not share the same "connection key" which is simply composed of the numbers of generators connected on each plant of primary importance. This fact leads us to approximate the square root of global losses as the sum of piece-wise polynomial function of the active power generation at every aggregate. A generating plant having identical generating units acts as an aggregate. The net MW interchange can be thought of as power flowing into or out of the network from an aggregate of the tie lines....

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Weighted Least Absolute Value state estimation using interior point methods

Cited by 89 publications

References 25 publications

State Estimation of the Tanzanian Power System Network Using Non-Quadratic Criterion and MATLAB Environment

State Estimation of the Tanzanian Power System Network Using Non-Quadratic Criterion and MATLAB Environment

Topology validation via simultaneous state & topology estimation with phasor data processing capability

Estimation of transmission loss coefficients from measurements

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Weighted Least Absolute Value state estimation using interior point methods

Cited by 89 publications

References 25 publications

State Estimation of the Tanzanian Power System Network Using Non-Quadratic Criterion and MATLAB Environment

State Estimation of the Tanzanian Power System Network Using Non-Quadratic Criterion and MATLAB Environment

Topology validation via simultaneous state &amp; topology estimation with phasor data processing capability

Estimation of transmission loss coefficients from measurements

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Topology validation via simultaneous state & topology estimation with phasor data processing capability