Large fluctuations in locational marginal prices

This paper investigates large fluctuations of locational marginal prices (LMPs) in wholesale energy markets caused by volatile renewable generation profiles. Specifically, we study events of the form P ( LMP ∉ ∏ i = 1 n [ α i − , α i + ] ) , where LMP is the vector of LMPs at the n power grid nodes, and α − , α + ∈ R n are vectors of price thresholds specifying undesirable price occurrences. By exploiting the structure of the supply–demand matching mechanism in power grids, we look at LMPs as deterministic piecewise affine, possibly discontinuous functions of the stochastic input process, modelling uncontrollable renewable generation. We use techniques from large deviations theory to identify the most likely ways for extreme price spikes to happen, and to rank the nodes of the power grid in terms of their likelihood of experiencing a price spike. Our results are derived in the case of Gaussian fluctuations, and are validated numerically on the IEEE 14-bus test case. This article is part of the theme issue ‘The mathematics of energy systems’.

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Optimization of integrated wind power grids based on locational marginal prices using restructured power system

i-manager s Journal on Power Systems Engineering ◽

10.26634/jps.1.1.2204 ◽

2013 ◽

Vol 1 (1) ◽

pp. 9-17

Author(s):

Dhayalini K ◽

◽

Deepu M.S ◽

Sathiyamoorthy S ◽

◽

...

Keyword(s):

Power System ◽

Wind Power ◽

Power Grids ◽

Restructured Power System ◽

Marginal Prices ◽

Locational Marginal Prices

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Partitioning Power Grid for the Design of the Zonal Energy Market while Preserving Control Area Constraints

Electronics ◽

10.3390/electronics10050610 ◽

2021 ◽

Vol 10 (5) ◽

pp. 610

Author(s):

Marcin Blachnik ◽

Karol Wawrzyniak ◽

Marcin Jakubek

Keyword(s):

Power Flow ◽

Optimal Power Flow ◽

Power Grid ◽

Flow Analysis ◽

Control Area ◽

Energy Market ◽

Agglomerative Clustering ◽

Grid Security ◽

Marginal Prices ◽

Locational Marginal Prices

The use of a zonal structure for energy markets across the globe is expanding; however the debate on how to effectively partition the grid into bidding zones is still open for discussion. One of the factors that needs to be addressed in the process of bidding zones’ delimitation is the transmission system operators control areas. Merging parts of different control areas into one bidding zone can lead to multiple problems, ranging from political, through grid security concerns, to reserve control issues. To address it, this paper presents a novel grid partitioning method aimed at bidding zones delimitation that is based on clustering the power grid using an extended version of the standard agglomerative clustering. The proposed solution adds additional clustering rules when constructing the dendrogram in order to take into account the control areas. The algorithm is applied to the data which represents the locational marginal prices obtained from optimal power flow analysis.

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Development of Emergency System of Power Grids with a Significant Renewable Generation

Science and innovation ◽

10.15407/scine12.04.022 ◽

2016 ◽

Vol 12 (4) ◽

pp. 22-26

Author(s):

B.S. Stognii ◽

◽

O.V Kyrylenko ◽

V.V. Pavlovsky ◽

M.F. Sopel ◽

...

Keyword(s):

Power Grids ◽

Renewable Generation ◽

Emergency System

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POWER GRIDS ANALYSIS IN COMPRESSED KRYLOV-SUBSPACE METHODS

Journal of Circuits System and Computers ◽

10.1142/s0218126608004435 ◽

2008 ◽

Vol 17 (03) ◽

pp. 439-446

Author(s):

HAOHANG SU ◽

YIMEN ZHANG ◽

YUMING ZHANG ◽

JINCAI MAN

Keyword(s):

Present Method ◽

Large Scale ◽

Krylov Subspace ◽

Power Grid ◽

Excellent Result ◽

Krylov Subspace Methods ◽

Power Grids ◽

Improved Method ◽

Subspace Methods ◽

Transient Simulations

An improved method is proposed based on compressed and Krylov-subspace iterative approaches to perform efficient static and transient simulations for large-scale power grid circuits. It is implemented with CG and BiCGStab algorithms and an excellent result has been obtained. Extensive experimental results on large-scale power grid circuits show that the present method is over 200 times faster than SPICE3 and around 10–20 times faster than ICCG method in transient simulations. Furthermore, the presented algorithm saves the memory usage over 95% of SPICE3 and 75% of ICCG method, respectively while the accuracy is not compromised.

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Quantifying the impact of unscheduled line outages on Locational Marginal Prices

North American Power Symposium 2010 ◽

10.1109/naps.2010.5618984 ◽

2010 ◽

Cited By ~ 3

Author(s):

Saeed Lotfifard ◽

Le Xie ◽

Mladen Kezunovic

Keyword(s):

Marginal Prices ◽

Locational Marginal Prices ◽

Line Outages ◽

The Impact

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Analytical and experimental discussion of a circuit-based model for compact fluorescent lamps in a 60Hz power grid

Ingeniería e Investigación ◽

10.15446/ing.investig.v35n1sup.53618 ◽

2015 ◽

Vol 35 (1Sup) ◽

pp. 89-97 ◽

Cited By ~ 2

Author(s):

Gabriel Alexis Malagon ◽

Jeisson Bello Peña ◽

Gabriel Ordóñez Plata ◽

Cesar Duarte Gualdrón

Keyword(s):

Scientific Literature ◽

Power Grid ◽

Research Work ◽

Power Grids ◽

Voltage Source ◽

Electrical System ◽

Font Size ◽

Stroke Width ◽

Fluorescent Lamps ◽

Compact Fluorescent Lamps

This article presents an analysis and discussion on the performance of a circuit-based model for Compact Fluorescent Lamps (CFL) in a 120V 60Hz power grid. This model is proposed and validated in previous scientific literature for CFLs in 230V 50Hz systems. Nevertheless, the derivation of this model is not straightforward to follow and its performance in 120V 60Hz systems is a matter of research work. In this paper, the analytical derivation of this CFL model is presented in detail and its performance is discussed when predicting the current of a CFL designed to operate in a 120V 60Hz electrical system. The derived model is separately implemented in both MATLAB® and ATP-EMTP® software using two different sets of parameters previously proposed for 230V 50Hz CFLs. These simulation results are compared against laboratory measurements using a programmable AC voltage source. The measurements and simulations considered seven CFLs 110/127V 60Hz with different power ratings supplied by a sinusoidal (not distorted) voltage source. The simulations under these conditions do not properly predict the current measurements and therefore the set of parameters and/or the model itself need to be adjusted for 120V 60Hz power grids.<br style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" />

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Multiphase Distribution Locational Marginal Prices: Approximation and Decomposition

2018 IEEE Power & Energy Society General Meeting (PESGM) ◽

10.1109/pesgm.2018.8585925 ◽

2018 ◽

Cited By ~ 3

Author(s):

Sarmad Hanif ◽

Masoud Barati ◽

Amin Kargarian ◽

Hoay Beng Gooi ◽

Thomas Hamacher

Keyword(s):

Marginal Prices ◽

Locational Marginal Prices

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The Impact of Distribution Locational Marginal Prices on Distributed Energy Resources: An Aggregated Approach

2018 15th International Conference on the European Energy Market (EEM) ◽

10.1109/eem.2018.8469864 ◽

2018 ◽

Cited By ~ 3

Author(s):

C. Edmunds ◽

W.A. Bukhsh ◽

S. Galloway

Keyword(s):

Energy Resources ◽

Distributed Energy Resources ◽

Distributed Energy ◽

Marginal Prices ◽

Locational Marginal Prices ◽

The Impact

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Evaluation method of clean power grid development mode

E3S Web of Conferences ◽

10.1051/e3sconf/202123602002 ◽

2021 ◽

Vol 236 ◽

pp. 02002

Author(s):

Bingqi Jiao ◽

Zhicheng Xu ◽

Kuan Zheng ◽

Xiaoqing Yan ◽

Junshu Feng

Keyword(s):

Evaluation Method ◽

Power Grid ◽

Clean Energy ◽

Power Grids ◽

Analysis Method ◽

Development Mode ◽

Grid Construction ◽

Development Evaluation ◽

Relative Change

In response to the climate change, it has been becoming the consensus of most countries in the world to accelerate the development of a high proportion of clean energy. The power grid is the core to support the development of a high proportion of clean energy, and the key is to accelerate the construction of clean power grids. This paper focuses on the main characteristics of clean power grid construction, and proposes a set of clean power grid development evaluation indicators including 5 first-level indicators and 19 second-level indicators and an analysis method based on radar charts. Taking China Power Grid as an example, this paper analyzes in detail the characteristics of the medium and long-term development mode of clean power grids and the relative change trends of specific indicators, and discusses the key links and potential problems that need attention in the development of clean power grids.

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