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## A general formulation for LMP evaluation (2007)

Venue: | IEEE Trans. Power Syst |

Citations: | 19 - 0 self |

### Citations

376 |
A generalized inverse of matrices
- Penrose
- 1955
(Show Context)
Citation Context ... general, assumed to be nonsingular. Typically the number of rows of is . The nonsingularity assumption implies that has full row rank. Consequently its Moore–Penrose pseudo-inverse is given by [13], =-=[14]-=- (24) We now rewrite (23) as (25) The expression in (25) is exact even if it appears as a least-squares solution of the overdetermined system (23). Moreover, in the case of the single marginal unit at... |

305 |
Spot Pricing of Electricity.
- Schweppe, Caramanis, et al.
- 1988
(Show Context)
Citation Context ...mponent may be propagated into the other two components and thereby result in arbitrariness in each of the three components. The pioneering work in analysis is the mathematical framework presented in =-=[7]-=-. The notion of generation and network components of the is extended to the disaggregation of the latter into separate loss and congestion components. The three-component decomposition was carefully i... |

105 |
On the reciprocal of the general algebra matrix,”
- Moore
- 1920
(Show Context)
Citation Context ...is, in general, assumed to be nonsingular. Typically the number of rows of is . The nonsingularity assumption implies that has full row rank. Consequently its Moore–Penrose pseudo-inverse is given by =-=[13]-=-, [14] (24) We now rewrite (23) as (25) The expression in (25) is exact even if it appears as a least-squares solution of the overdetermined system (23). Moreover, in the case of the single marginal u... |

25 |
Marginal loss modeling in LMP calculation,”
- Litvinov, Zheng, et al.
- 2004
(Show Context)
Citation Context ...h to the evaluation of the components for market applications specifies the policy for loss allocation by the explicit assignment of a fraction to each network node using a distributed-slack approach =-=[8]-=-. This specification then avoids the problem of the dependence of the values on one reference node. The effective deployment of DC-type formulation of the makes the scheme computationally efficient. I... |

18 |
and G.Lie, Decomposition model and interior point methods for optimal spot pricing of electricity in deregulation environments,
- Xie, Song, et al.
- 2000
(Show Context)
Citation Context ...tage related constraints are considered may be extended in a rather straightforward manner. For example, a detailed analysis for the inclusion of the reactive and other ancillary services is found in =-=[12]-=-. In the following, is the set of nodes with node 0 denoting the specified angle node1 and the set of network branches. The statement we use is (1) (2) (3) (4) (5) where is the vector of state variabl... |

16 |
A physical-flow-based approach to allocating transmission losses in a transaction framework
- Gross, Tao
- 2000
(Show Context)
Citation Context ..., the allocation of losses in a network is arbitrary as there exists no theoretical or measurement scheme that unequivocally determines the losses due to a particular transaction or a particular load =-=[6]-=-. Similarly, the allocation of the costs is arbitrary. One way to move the cost allocation away from arbitrariness is to introduce a policy specification. Absent such a policy specification, the arbit... |

15 |
Is system control entirely by price feasible
- Alvarado
- 2003
(Show Context)
Citation Context ...t in network congestion. In fact, under certain conditions, the s may serve the system operator as control signals to bring about the desired generator output levels that result in optimal operations =-=[2]-=-. We obtain some useful insights about the nature of the signals that the s provide when we consider the important special case of a lossless and unconstrained network. The costs of supplying an addit... |

11 | Effectiveness of the distribution factor approximations used in congestion modeling
- Liu, Gross
- 2002
(Show Context)
Citation Context ...ed angle bus, i.e., , the reduces to the vector , whose components are the so-called delivery factors . Likewise, the matrix may be interpreted as a generalization of the injection shift matrix , and =-=[15]-=-. The s at the buses of the subset— load buses and fixed generation—are given in (25) as a function of the s at the buses of the subset and the congestion dual multipliers . Since usually and , (25) s... |

7 |
Perez-Arriaga, “Computation and Decomposition of Spot Prices for Transmission Pricing
- Rivier, I
- 1993
(Show Context)
Citation Context ...inear combination of the dual variables associated with the active transmission constraints. While such a decomposition [3], [4], is intuitively attractive, its physical meaning may be rather limited =-=[5]-=-. Not only is the decomposition nonunique, it is highly dependent on the manner in which the costs of the losses are allocated to each node. Now, the allocation of losses in a network is arbitrary as ... |

7 |
An energy reference bus independent LMP decomposition algorithm
- Cheng, Overbye
- 2006
(Show Context)
Citation Context ... node pair depends explicitly on the selected reference, be it a single-bus or distributed-slack. In an attempt to move away from such dependence, a reference independent decomposition is proposed in =-=[11]-=-. Such an approach is particularly useful for the computations involved in hedging applications. The objective of our work is to gain some insights into the evaluation of the components, in general, a... |

6 |
Locational marginal price calculations using the distributed-slack power-flow formulation
- Wu, Alaywan, et al.
- 2005
(Show Context)
Citation Context ... values on one reference node. The effective deployment of DC-type formulation of the makes the scheme computationally efficient. In a systematic study of the distributed-slack power flow formulation =-=[9]-=-, the three-component decomposition is presented with a policy specification of the vector of participation factors for the distributed-slack reference. In this approach, the loss factors are computed... |

4 |
System Incremental Cost Calculations using the Participation Factor Load-Flow Formulation
- Meisel
- 1993
(Show Context)
Citation Context ... is the dual variable of a real power balance equation at the fictitious node used to represent the distributed slack bus. An earlier treatment of the distributed-slack power flow approach appears in =-=[10]-=-. In each of the decompositions above, the difference of the loss (congestion) components between any node pair depends explicitly on the selected reference, be it a single-bus or distributed-slack. I... |

1 |
Orfanogianni received the Dipl. Ing. degree in electrical engineering from the National Technical University of Athens (NTUA), Greece, and the Ph.D. degree from the Swiss Federal Institute of Technology
- Tina
- 1995
(Show Context)
Citation Context ...e components rather than the decomposition at each individual node. IV. ILLUSTRATIVE EXAMPLE We illustrate the generality and comprehensiveness of the proposed formulation with the six-bus network in =-=[16]-=-. In particular, we show how the decomposition of the prices at the nodes in affects the components of the nodal prices in under different policies/specifications. Bus 0 is the specified angle bus. Th... |