Min-Max Fairness Criteria for Transmission Fixed Cost Allocation

Abhyankar, A. R.; Soman, S. A.; Khaparde, S.A.

doi:10.1109/tpwrs.2007.907391

Cited by 38 publications

(33 citation statements)

References 25 publications

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“…The main disadvantage of this approach is its fairness across different UTs. If one wishes to promote fairness in the system, alternative objectives than the sum in (13), for example max-min, may be preferable [40]- [43]. Nevertheless, if aiming at minimizing the overall MSE in the system, the eigen-pilots of (27) are optimal (for the fully-separable case).…”

Section: Theorem 1 a Pilot Symbol Matrix Which Solves (25)-(26) Is Gmentioning

confidence: 99%

Pilot contamination mitigation with reduced RF chains

Ioushua

Eldar

2017

2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

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Abstract-Massive multiple-input multiple-output (MIMO) communication is a promising technology for increasing spectral efficiency in wireless networks. Two of the main challenges massive MIMO systems face are degraded channel estimation accuracy due to pilot contamination and increase in computational load and hardware complexity due to the massive amount of antennas. In this paper, we focus on the problem of channel estimation in massive MIMO systems, while addressing these two challenges: We jointly design the pilot sequences to mitigate the effect of pilot contamination and propose an analog combiner which maps the high number of sensors to a low number of RF chains, thus reducing the computational and hardware cost. We consider a statistical model in which the channel covariance obeys a Kronecker structure. In particular, we treat two such cases, corresponding to fully-and partially-separable correlations. We prove that with these models, the analog combiner design can be done independently of the pilot sequences. Given the resulting combiner, we derive a closed-form expression for the optimal pilot sequences in the fully-separable case and suggest a greedy sum of ratio traces maximization (GSRTM) method for designing sub-optimal pilots in the partially-separable scenario. We demonstrate via simulations that our pilot design framework achieves lower mean squared error than the common pilot allocation framework previously considered for pilot contamination mitigation.

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Section: Theorem 1 a Pilot Symbol Matrix Which Solves (25)-(26) Is Gmentioning

confidence: 99%

Pilot contamination mitigation with reduced RF chains

Ioushua

Eldar

2017

2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

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“…However, we feel that with present state of the art, min-max fair tracing approach strikes the right balance between fairness and tractability of computation. Hence, the aim of this paper is to strengthen the modeling framework of min-max fair tracing first proposed in [15]. The min-max model proposed in this paper is robust.…”

Section: Introductionmentioning

confidence: 96%

“…1) marginal participation (MP) method [2]-[4]; 2) proportionate power flow tracing or average participation (AP) method [5]- [8]; 3) with and without transit flow methods [9]; 4) based transmission network cost allocation [10]; 5) transmission charges based on bilevel programming [11]; 6) cooperative game theory based methods [12]- [14]; 7) min-max fair tracing method [15]. All the above methods require load flow solution, usually a dc load flow, to compute the TSU cost.…”

Section: Introductionmentioning

confidence: 99%

Min-Max Fair Power Flow Tracing for Transmission System Usage Cost Allocation: A Large System Perspective

Rao

Soman

Chitkara³

et al. 2010

IEEE Trans. Power Syst.

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Abstract-Power flow tracing has been suggested as an approach for evaluating 1) transmission system usage (TSU) cost and 2) loss (MW) cost for generator and load entities in the system. Recently, optimal power flow tracing methods have been proposed to "explicitly" model fairness constraints in the tracing framework. This paper, further, strengthens the tracing-compliant min-max fair cost allocation approach. The min-max model proposed in this paper is robust. It addresses concerns like scalability, numerical stability and termination in a finite number of steps while searching the optimal solution. We also propose a methodology to model DISCOMs and GENCOs as coalition within min-max framework. Case studies on an all India network of 1699 nodes and comparison with average participation and marginal participation methods bring out the better conflict resolution feature of the proposed approach. A method to model HVDC lines within the marginal participation scheme is also proposed. Quantitative and qualitative comparison of various TSU cost allocation methods on such a large system is another noteworthy contribution of the paper.

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“…Como resultado, esperam-se tarifas com sinais locacionais competitivos no contexto do sistema brasileiro no qual geradores renováveis isolados (com altos custos pelo uso da transmissão) competem com geradores térmicos próximos aos centros de demanda (com custos pelo uso da transmissão relativamente baixos). Propostas posteriores em [43] e [44] aperfeiçoaram matematicamente o modelo apresentado em [16] abordando o mesmo contexto e objetivos para as tarifas. Em [43] a máxima equidade das tarifas é obtida através da técnica de otimização min-max aplicada para tarifação.…”

Section: Constantes E Variáveisunclassified

“…Propostas posteriores em [43] e [44] aperfeiçoaram matematicamente o modelo apresentado em [16] abordando o mesmo contexto e objetivos para as tarifas. Em [43] a máxima equidade das tarifas é obtida através da técnica de otimização min-max aplicada para tarifação. A técnica garante uma situação de equilíbrio, na qual não é possível reduzir uma tarifa sem necessariamente incrementar outra que seja maior ou igual a ela.…”

Section: Constantes E Variáveisunclassified

Alocação De Custos Pelo Uso Do Sistema De Transmissão via Otimização Binível

CARLOS¹

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Alocação de tarifas de transmissão; otimização binível; custos marginais de longo prazo; geração renovável. proposes a new approach to the transmission usage cost allocation problem, combining the power flow and tariff computation problems, usually solved separately, in a bilevel optimization model. The proposal is based on the multiplicity of feasible solutions to allocate costs by power flow components.Such a feasible set exists because of the different hypothesis that can be assumed to calculate the base case power flow, and to decompose the obtained power flows, assigning its components to generators and demands. Given the diversity of solutions, it is proposed that the chosen one should optimally meet the objectives specified by the system regulator and users concerning the costs allocation. Because of the interdependence between the mentioned problems, such objectives are inserted into a bilevel optimization problem in which the upper level defines the power flow results, having the lower level as a constraint that gives the power flow decomposition solution and, as a consequence, the cost allocation through tariffs assigned to generators and demands. In this work, the objectives represented in the optimization model include two main aspects.The first one is to obtain a cost allocation that reflects the system's long run marginal costs (LRMC). Thus, in the upper level, a worst-case power flow model maximizes the lines' flows in order to characterize the base case that causes the greatest need for transmission investments, and reflects the LRMC.The second consists in smooth out the high tariffs assigned to users located at unfavorable regions of the system and that do not have the freedom to choose their location. This is the case, among others, of the renewable generators in the Brazilian transmission system that are part of the system expansion planning, and are placed far away from the load centers due to the geographic availability of the renewable resource. Hence, in the lower level, the transmission tariff amplitude is minimized considering constraints that ensure the locational coherence of the tariffs economic signals. Additionally, the proposed model PUC-Rio -Certificação Digital Nº 1212912/CA admits upper and lower tariff bounds to ensure the desired tariff smooth, if it is feasible. Given these bounds in, the optimal solution of the proposed bilevel model can provide three different situations: (i) the limits are restricted to the point that the problem is infeasible, (ii) the limits are such that the levels are coupled, or (iii) the limits are less restricted, and the optimal solution is equivalent to the common practice of solve both levels sequentially. Numerical results are presented to a 6-bus didactic system and to the IEEE 118-bus system under different demand configurations.

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Min-Max Fairness Criteria for Transmission Fixed Cost Allocation

Cited by 38 publications

References 25 publications

Pilot contamination mitigation with reduced RF chains

Pilot contamination mitigation with reduced RF chains

Min-Max Fair Power Flow Tracing for Transmission System Usage Cost Allocation: A Large System Perspective

Alocação De Custos Pelo Uso Do Sistema De Transmissão via Otimização Binível

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