電力市場的經(jīng)濟運行及其數(shù)學(xué)方法

內(nèi)容概要

　　本書以作者近十年來的研究成果為主線，介紹市場化運營環(huán)境下電力系統(tǒng)的經(jīng)濟運行相關(guān)問題及其最新的研究方法?！峨娏κ袌龅慕?jīng)濟運行及其數(shù)學(xué)方法(英文版)》的內(nèi)容包括四章：第一章電力市場運營以及最優(yōu)化的新理論和方法，主要介紹電力市場化運營方式、數(shù)學(xué)上最優(yōu)化問題的新理論與方法，該章是后面各章的基礎(chǔ)；第二章市場化運營環(huán)境下電力系統(tǒng)可用輸電能力模型和計算研究，主要運用新的數(shù)學(xué)方法，建立電力系統(tǒng)可用輸電能力新模型和計算方法；第三章系統(tǒng)最優(yōu)潮流新計算方'，主要考慮兩類最優(yōu)潮流問題的計算：傳統(tǒng)穩(wěn)態(tài)最優(yōu)潮流問題和暫態(tài)穩(wěn)定最優(yōu)潮流，建立了具有良好收斂性能的新算法；第四章電力市場風(fēng)險管理和基于風(fēng)險管理的系統(tǒng)經(jīng)濟運行研究，提出了基于風(fēng)險管理系統(tǒng)運營相關(guān)問題的新模型和計算方法；第五章電力市場動態(tài)均衡分析，運用非線性互補方法，建立了計及電力網(wǎng)絡(luò)約束的動態(tài)投標(biāo)模型、均衡點及穩(wěn)定性分析；第六章電力市場混沌控制，針對Nash均衡穩(wěn)定區(qū)域以外點的混沌特征，提出有效的控制方法。該專著結(jié)合了電力、數(shù)學(xué)和管理三個交叉學(xué)科的前沿研究，其成果可解決電力工業(yè)市場化運營環(huán)境下出現(xiàn)的經(jīng)濟和技術(shù)問題，并可推廣解決涉及經(jīng)濟和工程中涉及最優(yōu)決策問題。

書籍目錄

Foreword
Preface
List of Notation
Chapter 1 Electricity Markets and Preliminaries of
Mathematics
1.1 Electricity Market
1.1.1 Deregulation and reformation of power industry
1.1.2 Competitive structure of electricity market
1.1.3 Concerned issues in electricity market
1.2 Conditional Value-at-Risk (CVaR)
1.2.1 CVaR concept
1.2.2 CVaR calculation
1.3 Semismooth Function and Nonlinear Complementarity Problem
1.3.1 Clarke generalized Jacobian
1.3.2 Semismooth function
1.3.3 Nonlinear complementarity problem (NCP)
1.3.4 A reformulated system of equations for general nonlinear
optimization
1.4 Semismooth Newton Method for Nonsmooth Equations
1.4.1 Local semismooth Newton method
1.4.2 Global semismooth Newton method
1.5 Smoothing Newton Method for Nonsmooth Equations
1.5.1 Smoothing technology
1.5.2 Smoothing Newton method
1.6 Notes and Comments
Chapter 2 Available Transfer Capability on Market Environment
2.1 Available rlyansfer Capability (ATC)
2.2 Semismooth Newton Method for ATC Calculation
2.2.1 New ATC model
2.2.2 Smoothing Newton method
2.2.3 Smoothing decoupled Newton algorithm
2.3 Contract-Based ATC Region (ATCR)
2.3.1 ATCR model with single-contract
2.3.2 ATCR model with multi-contracts
2.3.3 Quadratic approximation for ATCR boundary
2.3.4 Approach and visualization of ATCR
2.4 Numerical Examples
2.4.1 Examples for ATC calculation
2.4.2 Examples for ATCR calculation
2.5 Notes and Comments
Chapter 3 Optimal Power Flow Based on Newton-type Methods
3.1 Optimal Power Flow (OPF)
3.2 Decoupled Optimal Power Flow Approach
3.2.1 Reformations of KKT systems
3.2.2 Convergent analysis for decoupled OPF
3.3 Semismooth Newton Method for Solving OPF
3.3.1 Reformulated system of equations
3.3.2 Semismooth Newton methods
3.3.3 Decoupled semismooth Newton method
3.4 Solution Method for OPF with Transient Stability
Constraints
3.4.1 OTS model
3,4.2 An SIP reformulation of OTS model
3.4.3 Smoothing quasi-Newton algorithm
3.4.4 Iterative algorithm with active-set strategy
3.5 NumericalExamples
3.5.1 OPF examples
3.5.2 OTS examples
3.6 Notes and Comments
Chapter 4 Economic Operation of Electricity Market Under CVaR
Management
4.1 Portfolio Optimization Based on CVaR
4.1.1 Typical portfolio optimization models
4.1.2 Smoothing SQP algorithm
4.1.3 Global convergence
4.2 Worst-case CVaR (WCVaR) Based Scenario Planning in Electricity
Markets
4.2.1 WCVaR concept and some distributions of partial message
4.2.2 Robust portfolio optimization models with WCVaR
4.2.3 Examples for robust models with WCVaR
4.2.4 Allocation of generation asset
4.3 a-Superquantile Risk-Based Security-Constrained Economic
Operation
4.3.1 Mathematical description of security under uncertain
environment
4.3.2 a-superquantile-based security constraint of system
operation
……
Chapter 5 Dynamic Equilibrium Analysis of Electricity Market
Chapter 6 Chaos Control of Electricity Market
Bibliography

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