Multiterminal voltage-sourced converter-based HVDC models for power flow analysis

Two mathematical models for multiterminal voltage-sourced converter (VSC)-based HVDC are proposed in this paper. The first model assumes that all the converters are co-located in the same substation while the second model is a general one, in which DC network can be explicitly represented. For both models proposed, primary converters basically have the ability to independently control either active and reactive power or active power and voltage of the terminals while the secondary converter of the multiterminal VSC HVDC can be used to control terminal bus voltage and balance power exchange among the VSC converters. In addition, theoretic and numerical comparisons between the multiterminal VSC HVDC and the VSC FACTS controller-the Generalized Unified Power Flow Controller are also presented. Numerical examples are given on the IEEE 30-bus system, IEEE 118-bus system and IEEE 300-bus system.     

一种基于电压源型多端直流输电的供电系统

针对目前单个电压源型FACTS装置只能抑制和消除某一种特定的电能质量问题,提出了一种能综合控制电能质量的新供电方案,其核心是将电压源型多端直流输电系统应用于向重要负荷供电的方案设计。介绍了该供电方案的系统结构,并设计了相关的控制器。一电压源型五端供电系统在几种典型异常运行工况下对重要负荷供电影响的数字仿真表明,电压源型多端直流输电系统是实现电能质量综合控制的有效供电方案。     

潮流和最优潮流分析中FACTS控制器的建模

综述了最近FACTS控制器的数学模型在电力系统潮流和最优潮流分析中的新进展.不仅讨论了单换流器FACTS控制器,如静止同步并联补偿器(STATCOM)和静止同步串联补偿器(SSSC);而且也讨论了多换流器FACTS控制器,如统一潮流控制器(UPFC)、相间功率控制器(IPFC)、通用统一潮流控制器(GUPFC)和电压源型直流输电(VSC HVDC).此外还讨论了基于电压源换流器技术的HVDC的数学模型.不仅涵盖FACTS控制器的单相数学模型,而且也涉及FACTS控制器的三相数学模型.此外,还探讨了多换流器FACTS控制器的电流、电压以及功率等不等约束在潮流计算中的数学模型及计算机实现.     

Optimal sizing of SSSC controllers to minimize transmission loss and a novel model of SSSC to study transient response

In this paper, based on steady-state models of flexible AC transmission system (FACTS) devices, the sizing of static synchronous series compensator (SSSC) controllers in transmission network is formed as an optimization problem. The objective of this problem is to reduce the transmission losses in the network. The optimization problem is solved using particle swarm optimization (PSO) technique. The Newton–Raphson load flow algorithm is modified to consider the insertion of the SSSC devices in the network. Numerical examples, illustrating the effectiveness of the proposed algorithm, are introduced. In addition, a novel model of a three-phase voltage source converter (VSC) that is suitable for series connected FACTS a controller is introduced. The model is verified by simulation using Power System Blockset (PSB) and Simulink software.     

计及FACTS装置的概率特征根分析

概率特征根分析计及了较宽范围的系统运行方式变化,利用柔性交流输电系统FACTS(Flexible AC Transmission System)装置上的附加控制器可以改善系统的动态特性,将现有的概率特征根分析扩展到包含FACTS功能模块。以并联型静态无功补偿器SVC(Static Var Compensator)和串联型可控串联补偿器TCSC(Thyristor-Controlled Series Capacitor)为例,在原有概率特征根模型的基础上,依据具体的元件模型和控制器表达,确定了形成系统状态空间方程时的相应线性化表达式;详细讨论了功能增加后系统状态方程矩阵的形成;通过补充相关的灵敏度计算,完成了计及FACTS装置的电力系统多运行方式下的小干扰稳定性分析。最后,在一个八机系统上进行了试算。在选定的附加控制器参数下,比较了增加SVC前后的系统主导特征根的变化,考察了附加控制器增益变化对临界特征根的影响。     

2010年国际大电网会议系列报道高压直流输电和电力电子技术

介绍了2010年国际大电网会议(CIGRE)高压直流输电和电力电子技术专委会(SC B4)的主要专题和论文,涉及的技术领域包括:高压直流输电技术的发展--特别是±800 kV特高压直流输电和基于电压源换流器的高压直流输电(VSC-HVDC)的最新工程进展;灵活交流输电(FACTS)装置的应用经验及新的工程情况;电力电子...     

Planning of multi-type FACTS devices in restructured power systems with wind generation

Many electrical power systems are changing from a vertically integrated entity to a deregulated, open-market environment. This paper proposes an approach to optimally allocate multi-type flexible AC transmission system (FACTS) devices in restructured power systems with wind generation. The objective of the approach is to maximize the present value of long-term profit. Many factors like load variation, wind generation variation, generator capacity limit, line flow limit, voltage regulation, dispatchable load limits, generation rescheduling cost, load shedding cost, and multilateral power contracts are considered in problem formulation. The proposed method accurately evaluates the annual costs and benefits obtainable by FACTS devices in formulating the large-scale optimization problem under both normal condition and possible contingencies. The overall problem is solved using both Particle Swarm Optimization (PSO) for attaining optimal FACTS devices allocation as main problem and optimal power flow as sub optimization problem. The efficacy of the proposed approach is demonstrated for modified IEEE 14-bus test system and IEEE 118-bus test system.     

A new formulation for load flow solution of power systems with series FACTS devices

This paper addresses the solution of load flow equations for a power system with series flexible AC transmission systems (FACTS) devices. A novel formulation of equations using dual state variables (current magnitude and angle) and dual control variables (series injected real power and series voltage in quadrature with current) for series devices is proposed. These specifications can be related to transmission line loading and device limits. Specifications like power flow through a series device can also be handled using this formulation. The load flow equations are solved using Newton-Raphson technique. A decoupled formulation is also proposed. Case studies are carried out on IEEE test systems with several types of specifications to validate the method.     

UPFC状态反馈精确线性化潮流控制策略

统一潮流控制器(unified power flow controller,UPFC)传统线性控制器的性能可能因运行点的大范围变化而恶化,针对该问题提出了一种基于微分几何状态反馈精确线性化理论的UPFC非线性潮流控制策略。通过选择李雅普诺夫型输出函数、适当的非线性坐标变换和状态反馈将UPFC的5阶非线性系统完全转化为一个线性系统,然后采用线性极点配置方法设计了UPFC内部潮流控制器。IEEE 118节点系统的仿真对比结果表明,所提UPFC潮流控制策略改进了传统PI控制近似线性化的缺陷,有效适应了UPFC控制范围的大幅度变化,在提高电力系统暂态稳定性方面的效果明显优于传统PI控制。此外,该控制策略设计过程可以应用于所有基于电压源型换流器(voltage source converter,VSC)的柔性交流输电系统(flexibleAC transmission system,FACTS)装置。     

Analysis of radial distribution systems with embedded series FACTS devices using a fast line flow-based algorithm

Analysis of radial distribution systems with embedded series Flexible AC Transmission System (FACTS) devices is facilitated by a formulation of power flow equations with bus voltage magnitudes and line flows as independent variables. Since control variables such as the line and bus reactive powers figure directly in the formulation, handling the control action of FACTS devices in distribution systems is direct and easily implemented. Using the Breadth-First-Search (BFS), the bus incidence matrix of a radial distribution system is first rendered strictly upper diagonal, leading to reduced computational effort. All the common FACTS device models under steady-state conditions are easily incorporated in the new framework by a simple process of "variable swapping." Using IEEE standard systems, the line flow-based (LFB) formulation is shown to provide easy implementation with multiple series and shunt FACTS devices in the system and enable direct evaluation of the FACTS device ratings.     

Power flow control approach to power systems with embedded FACTS devices

This paper focuses on developing an approach to steady-state power flow control of flexible AC transmission systems (FACTS) device-equipped power systems. Based on a power-injection model of FACTS devices and an optimal power flow model, a novel versatile power flow control approach is formulated, which is capable of implementing power flow control incorporating any FACTS device flexibly. Different from existing FACTS device control approaches, the active and (or) reactive power injections are taken as independent control variables. Therefore, using this method, Jacobian matrix need not be changed, although various FACTS devices possess different physical models and different control parameters. Furthermore, it enables the integration of FACTS devices into the existing power system analysis and control programs efficiently. Physical limits of the FACTS devices are also considered in the model. Numerical results on a reduced practical system and a 1500-bus practical system with various FACTS devices are presented to illustrate the vigorousness of the proposed approach.     

Analysis of FACTS devices on Security Constrained Unit Commitment problem

This paper focuses on solving Security Constrained Unit Commitment (SCUC) problem using ABC algorithm incorporating FACTS devices. The objective of the SCUC problem is to obtain the minimum operating cost simultaneously maintaining the security of the system. The SCUC problem is decomposed into Unit Commitment (UC), the master problem and Security-Constrained Economic Dispatch (SCED) as the sub-problem. The existing generation constraints, such as hourly power demand, system reserves, and minimum up/down time limits, ramp up/down limits are included in the SCUC problem formulation. The ability of FACTS devices to control the power flow through designated routes in transmission lines and thereby reducing the overloading of lines are studied. The solution of SCUC problem is also analyzed during a single line outage contingency. The SCUC is carried out incorporating FACTS devices such as SVC, TCSC, STATCOM, SSSC, UPFC and IPFC. The modeling of the FACTS devices within the power system network and finding a suitable location are discussed. The SCUC has been solved and validated on an IEEE 118-bus test system and a practical South Indian 86 bus utility.     

Assessment of techno-economic contribution of FACTS devices to power system operation

In contemporary power system studies, the optimal allocation and utilization of Flexible AC Transmission System (FACTS) devices are important issues primarily due to their cost. In this study four types of FACTS devices (Static VAr compensator (SVC), Thyristor-Controlled Series Capacitor (TCSC), Thyristor-Controlled Voltage Regulator (TCVR), and Thyristor-Controlled Phase Shifting Transformer (TCPST)) are optimally placed in a multi-machine power system to reduce the overall costs of power generation. The placement methodology considers simultaneously the cost of generated active and reactive powers and cost of selected FACTS devices for a range of operating conditions. The optimal power flow (OPF) and genetic algorithm (GA) based optimization procedure are employed to solve the allocation task. The net present value (NPV) method is used to assess the economic value of the proposed methodology. In addition to net reduction in generation cost allocated FACTS devices increased power transfer across the network and improved damping of electromechanical oscillations.     

Hybrid linearization of a power system with FACTS devices for a small signal stability study: Concept and application

This paper deals with a hybrid linearization method of a power system with flexible AC transmission system (FACTS) devices. The linearized power system model provides useful information, which is necessary for the small signal stability study and the controller design. Although the algebraic linearization method provides an accurate and parameterized linear system, it may incur computation burdens for the large power system especially with multiple FACTS devices. The numerical identification of linearized system by utilizing input–output numerical data is highly versatile. However, quite amount of valuable information may be not fully utilized. In this paper, a hybrid method in which the algebraic and the numerical linearization technique are combined is presented. While both the power system and the FACTS devices are separately linearized by using algebraic method, the interaction terms between the power system and FACTS devices are numerically identified by adopting the quadratic optimization technique. The proposed hybrid linearization technique is tested on the WSCC system in which one thyristor-controlled series capacitor is installed. Both eigenvalue analysis and time-domain simulation results verify that the proposed method can effectively identify the linearized model of the power system with FACTS devices.     

Determination of Maximum Loadability by a Mixed Complementarity Formulation of the Adjusted Power Flow Problem

The ever-increasing demand for power leads to increased loading on the power system. It is necessary to determine the maximum loadability of power systems so that a sufficient margin can be maintained. Maximum loadability can be determined by solving the power flow equations successively while increasing the loading gradually; conventionally, the unadjusted power flow problem is solved. This also helps in determining the voltage profile with respect to loading. However, determination of loadability margin by the solution of adjusted power flow problem is challenging in the presence of certain limits such as the limits of tap-changing and phase-shifting transformers, and the operating limits of Flexible AC Transmission Systems (FACTS) controllers. In the course of determination of maximum loading, it is likely that these limits are encountered. A novel method for systematic handling of these limits is presented in this paper. A Mixed Complementarity Problem formulation is proposed for inclusion of the limits of tap-changing and phase-shifting transformers, and FACTS controllers. The proposed method is tested on the IEEE 300 bus system and the WSCC 9 bus system in the presence of FACTS controllers.     

OPF with SVC and UPFC modeling for longitudinal systems

This paper presents a formulation of the Optimal Power Flow problem with an explicit modeling of Static Var Compensator (SVC) and Unified Power Flow Controller (UPFC) devices. The optimization problem is solved by using Sequential Quadratic Programming, where two convergence criteria and four different methods are studied to solve the quadratic subproblems. The proposed model is integrated in an object-oriented based decision support platform for competitive power markets. Validation of the method and practical applications to real longitudinal systems are discussed, where FACTS location and a UPFC-based interconnection are described. Results show the impact of SVC and UPFC FACTS technologies in the physical and economic behavior of a real system.     

一种新型电力系统稳定控制装置

提出了一种新型FACTS装置——多功能柔性功率调节器(FPC),它将飞轮储能技术和传统的同步调相技术有机地结合在一起,同时采用交流励磁和矢量控制等先进技术进行控制。这种装置具有储能、发电、调相等多种功能,将其用于电力系统的稳定性控制,可实现动态有功功率和无功功率同时双向大范围的快速调节,具有增强电力系统稳定性的能力。详细论述了柔性功率调节器的工作原理,建立了装置的稳态等值电路模型,分析了装置在不同运行方式下的功率传递关系。同时,还介绍了FPC的一个主要组成部分——基于SPWM的双VSC变频控制器以及三相SVC的矢量控制原理。用数字仿真的方法研究了FPC与电网进行四象限功率交换的特性。最后,用一个单机无穷大系统,通过仿真分析,验证了FPC所具有的巨大的稳定电力系统的能力。     

变压器式混合控制型可调电抗器的控制策略研究

随着我国电力系统的快速发展,可调电抗器作为可动态补偿无功和稳定电压的新型FACTS装置,得到了广泛应用。变压器式可调电抗器响应速度较快、易实现高压应用,成为研究热点。基于一种潜力较大的变压器式混合控制型可调电抗器拓扑,阐述了晶闸管投切和VSC闭环PWM调制的混合控制策略。针对存在绕组高短路阻抗设计误差和各绕组互感影响难题,目前大部分研究均从结构优化角度进行改进。从控制角度入手,将可调电抗器的整体输出无功引入到VSC的闭环控制中,提出了一种无功顶层闭环反馈控制方法,实现了可调电抗器整体输出的精确控制。此外,研究表明,相比电流内环PI控制器,采用电流滞环控制可提高可调电抗器输出的暂态性能。     

静止无功补偿器和移相器的最优配置及其对发输电系统可靠性的影响

作为重要的FACTS设备,静止无功补偿器能够提供无功支持和维持系统电压稳定,移相器则能改变潮流的自然分布和消除输电阻塞,因此它们对电力系统的可靠性有重大影响,实现其最优配置具有重要意义.大多数文献对于FACTS设备的最优配置都是基于确定性的方法;文章从可靠性的观点出发,通过对原始系统的可靠性评估并充分利用最优负荷削减模型中拉格朗日乘子的物理意义,提出了两个新的指标,即线路的灵敏度指标和节点的灵敏度指标,它们代表了在各线路安装移相器和各节点安装静止无功补偿器对系统期望负荷削减的边际影响,通过这两个指标,能够确定移相器和静止无功补偿器的最优配置.该方法在RBTS可靠性测试系统上进行了验证,计算结果检验了该方法是高效和合理的,也同时表明了移相器和静止无功补偿器能对系统可靠性产生重大改善作用.     

Grasshopper optimization algorithm optimized multistage controller for automatic generation control of a power system with FACTS devices

This paper uses a Grasshopper Optimization Algorithm (GOA) optimized PDF plus (1+ PI) controller for Automatic generation control (AGC) of a power system with Flexible AC Transmission system (FACTS) devices. Three differently rated reheat turbine operated thermal units with appropriate generation rate constraint (GRC) are considered along with different FACTS devices. A new multistage controller design structure of a PDF plus (1 + PI) is introduced in the FACTS empowered power system for AGC while the controller gains are tuned by the GOA. The superiority of the proposed algorithm over the Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) algorithms is demonstrated. The dynamic responses of GOA optimized PDF plus (1+ PI) are compared with PIDF, PID and PI controllers on the same system. It is demonstrated that GOA optimized PDF plus (1+ PI) controller provides optimum responses in terms of settling time and peak deviations compared to other controllers. In addition, a GOA-tuned PDF plus (1 + PI) controller with Interline Power Flow Controller (IPFC) exhibits optimal results compared to other FACTS devices. The sturdiness of the projected controller is validated using sensitivity analysis with numerous load patterns and a wide variation of parameterization. To further validate the real-time feasibility of the proposed method, experiments using OPAL-RT OP5700 RCP/HIL and FPGA based real-time simulations are carried out.