Using Graph Theory to Resolve State Estimator Issues Faced by Deregulated Power Systems


Book Description

Power industry is undergoing a transition from the traditional regulated environment to the competitive power market. To have a reliable state estimator (SE) in the power market environment, two major challenges are emerging, i.e. to keep SE running reliably even under a contingency and to run SE over a grid with extremely large size. The objective of this dissertation is to use graph theory to address the above two challenges. To keep SE running reliably under a contingency, a novel topological approach is first proposed to identify critical measurements and examine network observability under a contingency. To advance the classical topological observability analysis, a new concept of contingency observability graph (COG) is introduced and it is proven that a power system network maintains its observability under a contingency if and only if its COG satisfies some conditions. As an application of COG, a two-stage heuristic topological approach is further developed based on the new concept of qualified COG (QCOG) to minimize the number of measurements and RTUs under the constraint that the system remains observable under any single contingency. To overcome the disadvantages of existing SE over extremely large networks, a textured distributed state estimator (DSE), which consists of the off-line textured architecture design and the on-line textured computation, is proposed based on COG and a new concept of Bus Credibility Index (BCI). The textured DSE is non-recursive, asynchronous and avoids central controlling node. Numerical tests verify that the performance of the new textured DSE algorithm improves greatly compared with existing DSE algorithms in respect of bad data detection and identification. Furthermore, the software implementation for DSE is formulated as an information integration problem over regional power markets, and is very challenging because of its size and complexity. A new concept of semantic knowledge warehouse (SKW), together with the proposed concepts of semantic reasoning software component (SRSC) and deduction credibility, is developed to implement such an information integration system.




Power Systems Applications of Graph Theory


Book Description

There are several books on the applications of graph theory, but none of them are related to power systems applications. This book attempts to cover all applications of graph theory in the area of power systems. It consists of two parts. The first part, containing four Chapters, briefly introduces the basic concepts of graph theory, major properties, theorems, and algorithms in graph theory and network flow programming. This definitive treatment makes graph theory easy to understand. The second part, containing 10 Chapters, is the practical application of graph theory and network flow programming to all kinds of power systems problems, which is the key part of the book. These applications include network flow calculation of power flow, classical economic power dispatch, security constrained economic dispatch, multi-areas system economic dispatch, reactive power optimisation and pricing in multi-area environment, hydro-thermal power system operation, power system state estimation, secure economic automatic generation control, automatic contingency selection, distribution network optimisation, and optimal load shedding. The treatment of each application includes the mathematical representation of power system problem, its relationship with graph theory and network flow programming, as well as the implementations accompanied by examples of power system application problem, solution, and results analysis. Each chapter contains the related references that collectively form an extensive guide to the primary research literature.




Graph Theory Applications to Deregulated Power Systems


Book Description

This book provides a detailed description of network science concepts applied to power systems and electricity markets, offering an appropriate blend of theoretical background and practical applications for operation and power system planning. It discusses an approach to understanding power systems from a network science perspective using the direct recognition of the interconnectivity provided by the transmission system. Further, it explores the network properties in detail and characterizes them as a tool for online and offline applications for power system operation. The book includes an in-depth explanation of electricity markets problems that can be addressed from a graph theory perspective. It is intended for advanced undergraduate and graduate students in the fields of electric energy systems, operations research, management science and economics. Practitioners in the electric energy sector also benefit from the concepts and techniques presented here.




Experiences on Use of State Estimator in Power System Operations


Book Description

This book brings together successful case studies on the practical use of state estimators at both the transmission and distribution system levels in the power industry. Contributions are written by an international group of utility industry experts who have designed and implemented state estimators for managing their grid operations in real-time, providing readers with a solid background in the theoretical and functional aspects of running, supporting, and maintaining the operation of state estimators on an ongoing basis. Experiences on Use of State Estimator in Power System Operations provides a comprehensive picture of state estimators in a practical setting and is a valuable hands-on reference for system operators and engineers who need to enhance their understanding of the use of state estimation in utility operations.




External Data Exchange Issues for State Estimation in Power Systems


Book Description

The actual implementation of a state estimator, however, depends on various factors, such as the time skew of data, the accuracy of the network database, the availability of raw data versus state-estimated data, and sensitive issues regarding the proprietary nature of the data. These issues are studied in this dissertation to determine the data exchange requirements for minimizing the errors in state estimation.




Power Systems Topology and State Estimation by Graph Blind Source Separation


Book Description

"In our research, we consider the problem of blind estimation of states and topology (BEST) in power systems. We use the linearized DC model of real power measurements with unknown voltage phases (i.e.,states) and an unknown admittance matrix (i.e.,topology) and show that the BEST problem can be formulated as a blind source separation (BSS) problem with a weighted Laplacian mixing matrix. We develop the constrained maximum likelihood (ML) estimator of the Laplacian matrix for this graph BSS (GBSS) problem with Gaussian-distributed states. The ML-BEST is shown to be only a function of the states' second-order statistics. Since the topology recovery stage of the ML-BEST approach results in a high-complexity optimization problem, we propose two low-complexity methods to implement it: (1)Two-phase topology recovery, which is based on solving the relaxed convex optimization and then finding the closest Laplacian matrix, and (2) Augmented Lagrangian topology recovery. We derive a closed-form expression for the associated Cramer-Rao bound (CRB) on the topology matrix estimation. In addition, we developed methods for estimate the states and topology given a prior knowledge on the topology system. This prior knowledge may comprise knowledge of part of the system topology, or of the system connectivity Using that knowledge improve the estimation performances compared to the ML-BEST methods." -- abstract.







Power Systems Analysis


Book Description

Power Systems Analysis provides a thorough understanding of the principles and techniques of power system analysis and their application to real-world problems. Beginning with basic concepts, the book gives an exhaustive coverage of transmission line parameters, symmetrical and unsymmetrical fault analysis and power flow studies. The book includes seperate chapters on state estimation, stability analysis and contingency analysis and also provides and introduction to HVDC and FACTS. Relevant topics such as power quality and power management are also dealt with. The book extensively illustrates the use of MATLAB in the analysis of power systems. With its lucid style of presentation, the book should be useful to both students and practising engineers.







Transient Stability of Power Systems


Book Description

Three Belgian researchers (U. of Liege) look at one unified approach to on-line dynamic security assessment and control to enable a power system to withstand unexpected contingencies without experiencing voltage or transient instabilities. The problem has greatly increased since deregulation, when utilities are being operated much closer to their limits in order to generate private profit. Their approach is called Single Machine Equivalent, SIME to its friends, and is a hybrid direct-temporal method that processes information about the system behavior in order to get one-shot stability assessment in the same way as direct methods. Preventative SIME relies on time-domain programs to get information about simulated stability scenarios of anticipated contingencies, and emergency SIME uses real-time measurements that take into account the actual occurrence of a contingency. Annotation copyrighted by Book News, Inc., Portland, OR