Optimal location and sizing of real power DG units to improve the voltage stability in the distribution system using ABC algorithm united with chaos

The introduction of a Distributed Generation (DG) unit in the distribution system improves the voltage profile and reduces the system losses. Optimal placement and sizing of DG units play a major role in reducing system losses and in improving voltage profile and voltage stability. This paper presents in determination of optimal location and sizing of DG units using multi objective performance index (MOPI) for enhancing the voltage stability of the radial distribution system. The different technical issues are combined using weighting coefficients and solved under various operating constraints using a Chaotic Artificial Bee Colony (CABC) algorithm. In this paper, real power DG units and constant power load model and other voltage dependent load models such as industrial, residential, and commercial are considered. The effectiveness of the proposed algorithm is validated by testing it on a 38-node and 69-node radial distribution system.     

Optimum placement and sizing of DGs considering average hourly variations of load

This paper presents a multiobjective technique for obtaining optimal sizing of Distributed Generation (DG) units considering both technical and economical factors of the distribution system. The technical factors include real power loss reduction, line load reduction and voltage profile improvement and the economical factors consider optimal DG investment cost. Three different Distributed Generation systems solar photovoltaic, biomass and wind system are considered for integration with the existing distribution system. Since solar photovoltaic system is not available at night time, only biomass and wind systems are operated and for day time operation all the three distribution generation systems are considered. A new sensitivity index based on voltage sensitivity and apparent load power is proposed for identification of optimal locations for DG placement. The optimum sizing of DG units operating at unity power factor and lagging power factor is obtained using GA for different load levels considering daily average hourly loading aiming at improving the technical performance of the distribution system with optimum investment on DG units. Simulation results are presented to show the advantage of the proposed methodology in terms of technical performance and annual economical savings of the distribution system.     

Optimal Installation of Different DG Types in Radial Distribution System Considering Load Growth

In power distribution network, the gradual increase in system load is a natural process, and it results in increased real and reactive power losses and reduced voltage profile. In this paper, optimal single and multiple installations of different types of distributed generation (DG) units are used to handle annual growth in system load, while satisfying system operational constraints. For load growth study, a predetermined growth in system annual load is considered. Minimization of system total real power loss is taken as the main objective, and optimal location and sizing of different DG types are determined using a hybrid configuration of weight-improved particle swarm optimization (WIPSO) with gravitational search algorithm (GSA) called hybrid WIPSO-GSA algorithm. The effect of load growth is studied using standard 33-bus radial distribution system, and the results illustrate significant reduction in system real and reactive power losses, enhancement in system voltage profile, and improvement in load carrying capacity of distribution feeder sections. Moreover, the economic benefits of DG on system annual load growth are also established. Also, the effectiveness of the proposed algorithm is demonstrated by comparing the results with other evolutionary optimization techniques.     

Optimal siting and sizing of distributed generation accompanied by reconfiguration of distribution networks for maximum loss reduction by using a new UVDA-based heuristic method

A great number of methods have been proposed for distributed generation (DG) placement in distribution networks to minimize the power loss of Medium Voltage (MV) lines. However, very few researches have been done for network configuration in parallel with the DG siting and sizing for the maximum system loss reduction. In this paper, a heuristic method based on “uniform voltage distribution based constructive reconfiguration algorithm” (UVDA) is proposed for the simultaneous reconfiguration and DG siting and sizing. The results obtained from the application of the proposed method on two well-known distribution networks and a real network clearly verify the robustness of the contributed technique. The simulation results demonstrate that the proposed approach is able to find the best solution of the problem found so far. Also, the presented method is applicable to real large-scale distribution systems to find the optimal solution in a very short period of time.     

Optimal Placement and Sizing of Inverter-Based Distributed Generation Units and Shunt Capacitors in Distorted Distribution Systems Using a Hybrid Phasor Particle Swarm Optimization and Gravitational Search Algorithm

Abstract

In this paper, a novel hybrid population-based meta-heuristic algorithm, called the hybrid Phasor Particle Swarm Optimization and Gravitational Search Algorithm (PPSOGSA), is proposed to solve the problem of optimal placement and sizing of inverter-based distributed generation (DG) units and shunt capacitors in radial distribution systems with linear and non-linear loads. The objective of the problem is reduction of active power losses considering constraints of the fundamental frequency active and reactive power balance, RMS voltage, and total harmonic distortion of voltage (THD_V) at each bus of the network, as well as the branch flow constraints. The performance of the PPSOGSA-based approach is evaluated on the standard IEEE 33- and 69-bus test systems under sinusoidal and non-sinusoidal operating conditions. Compared to the original PPSO and GSA and other algorithms commonly used in the optimal sitting and sizing problem of DG units and shunt capacitors, it is found that the proposed algorithm has yielded better results.     

分布式电源模型和负荷模型对配电系统的影响

针对配电系统中分布式电源的配置问题,考虑负荷模型下的不同电压来分析DG模型对DG的选址和容量大小的影响。通过结合不同性能指标为优化子目标的多目标函数,并利用遗传算法对适当的配置地点及DG的容量进行评估,从而根据多目标函数解决接入配电网的DG的配置问题。在IEEE 25节点系统中进行的仿真结果表明,负荷模型对DG在配电网中的配置影响很小,而DG模型对其在配电系统中的配置地点、单机容量和渗透率有明显的影响。     

Optimal placement of DG in radial distribution systems based on new voltage stability index under load growth

This paper presents a comparison of Novel Power Loss Sensitivity, Power Stability Index (PSI), and proposed voltage stability index (VSI) methods for optimal location and sizing of distributed generation (DG) in radial distribution network. The main contribution of the paper is: (i) optimal placement of DGs based on Novel Power Loss Sensitivity and PSI methods, (ii) proposed voltage stability index method for optimal DG placement, (iii) comparison of sensitivity methods for DG location and their size calculations, (iv) optimal placement of DG in the presence of load growth, (v) impact of DG placement at combined load power factor, (vii) impact of DG on voltage stability margin improvement. Voltage profile, the real and reactive powers intake by the grid, real and reactive power flow patterns, cost of energy losses, savings in cost of energy loss and cost of power obtained from DGs are determined. The results show the importance of installing the suitable size of DG at the suitable location. The results are obtained with all sensitivity based methods on the IEEE 12-bus, modified 12-bus, 69-bus and 85-bus test systems.     

考虑传输能力的含分布式电源配电网扩展规划方法

为灵活性资源提供快速、及时调度的网架传输通道,在规划阶段充分考虑网架结构与分布式电源(DG)规划对配电网传输能力的影响,提出考虑网架通道传输能力的配电网扩展规划及DG选址定容双层优化方法.首先建立了线路负荷裕度指标和潮流均衡度指标用以评价配电网传输能力;其次分析了网架通道传输能力的影响因素,在此基础上构建了配电网扩展规划及DG选址定容双层优化模型,保证了规划方案具有良好的经济性和网架通道传输能力,利用嵌套的混合粒子群优化算法进行优化求解;最后将所提规划方法与只考虑经济性规划方法进行了算例验证.仿真结果表明,所提方法不仅没有增加经济费用,而且所得规划方案网架潮流更均衡,线路负荷裕度更高,传输能力更优.     

Optimal location and sizing determination of Distributed Generation and DSTATCOM using Particle Swarm Optimization algorithm

A Particle Swarm Optimization algorithm for finding the optimal location and sizing of Distributed Generation and Distribution STATicCOMpensator (DSTATCOM) with the aim of reducing the total power loss along with voltage profile improvement of Radial Distribution System is proposed in this paper. The new-fangled formulation projected is inspired by the idea that the optimum placement of the DG and DSTATCOM can facilitate in minimization of the line loss and voltage dips in Radial Distribution Systems. A complete performance analysis is carried out on 12, 34 and 69 bus radial distribution test systems and each test system has five different cases. The results analyzed using Loss Sensitivity Factor shows the optimal placement and sizing of DG and DSTATCOM in Radial Distribution System effectively improves the voltage profile and reduces the total power losses of the system.     

考虑环境因素的分布式发电多目标优化配置

分布式发电优化布置与定容问题是智能电网发展中所面对的一个重要课题。该文在节点有功、无功网损微增率基础上,通过负荷功率法将两者结合,提出等效网损微增率的概念。通过计算该微增率并对其进行排序,可确定分布式发电(distributed generation,DG)的最优安装位置,并且最小化输电线路网损。对于DG定容问题,该文同时考虑了有功网损、电压改善程度和环境改善程度这3个重要指标,将DG优化容量确定问题转化为一个多目标非线性规划问题。采用目标逼近和二次序列规划方法对提出的算法进行求解。算例结果表明,采用该方法确定DG在系统中的布置位置和容量可有效提高系统运行电压,降低有功网损,减少电厂排放的污染气体。该方法对DG在规划阶段的选址和定容问题有着一定的实用价值。     

A combination of genetic algorithm and particle swarm optimization for optimal DG location and sizing in distribution systems

Distributed generation (DG) sources are becoming more prominent in distribution systems due to the incremental demands for electrical energy. Locations and capacities of DG sources have profoundly impacted on the system losses in a distribution network. In this paper, a novel combined genetic algorithm (GA)/particle swarm optimization (PSO) is presented for optimal location and sizing of DG on distribution systems. The objective is to minimize network power losses, better voltage regulation and improve the voltage stability within the frame-work of system operation and security constraints in radial distribution systems. A detailed performance analysis is carried out on 33 and 69 bus systems to demonstrate the effectiveness of the proposed methodology.     

考虑不同负荷水平下DG定容选址的配电网协调规划研究

针对多种负荷水平下,分布式电源(DG)接入配电网带来的随机性问题以及无法兼顾DG容量与选址的协调规划问题,本文构建了一种考虑不同负荷水平与DG定容选址的配电网协调规划模型,可对配电网网架进行重新构建的同时,综合考虑DG容量与配置位置的规划,以获得最小的有功网损与最大的电压支撑效果。该规划模型首先对风电接入配电网的随机特性构建数学概率模型,然后将配电网开关组合与各个DG的容量、配置位置同时作为变量引入烟花优化算法求解,最后在不同风电场景与负荷水平下得到最优规划结果。美国PEG69节点系统的算例仿真结果表明该模型不仅可以满足配电网辐射状与稳定运行的约束,在与仅引入DG容量和仅引入DG位置规划的对比中,验证了容量位置协调规划在配电网经济运行方面的优越性。     

Simultaneous placement of distributed generation and capacitors in distribution networks considering voltage stability index

With regard to widespread use of distributed generation in distribution network, its technical impacts in distribution network should be thoroughly analyzed. In this paper simultaneous placement of distributed generation (DG) and capacitor is considered in radial distribution network with different load levels. The objectives of the problem are reduction of active and reactive power loss, reduction of energy loss and improvement of voltage profile. Also effect of capacitor and DG on voltage stability improvement has been considered in the objective function. Memetic algorithm is used to find optimal solutions. This algorithm is combinatorial form of local search and genetic algorithm. The performance of the proposed method is assessed on a test distribution network.     

考虑电压权重的配电网分布式电源优化配置

为更合理配置分布式电源(Distributed Generation,DG),提出考虑电压权重因子的配电网DG优化配置模型。该模型以电压总偏差和包括DG投资运行维护费、网损费、购电费的总费用为目标函数。通过在该模型的电压总偏差目标函数中引入电压权重因子来反映DG配置对各节点电压的影响和反映对用户电压质量需求的评判,从而使优化过程有利于较大电压偏差的节点或具有电压评分较高的节点的电压幅值更容易接近其期望值。基于拉丁超立方抽样得到DG和负荷的状态,采用NSGA-Ⅱ算法和基于信息熵赋权的灰靶决策算法得到最优方案。仿真算例表明文中所提方法的可行性和有效性。     

Optimal DG Allocation in Radial Distribution Systems with High Penetration of Non-linear Loads

This paper addresses the optimal distributed generation sizing and siting for voltage profile improvement, power losses, and total harmonic distortion (THD) reduction in a distribution network with high penetration of non-linear loads. The proposed planning methodology takes into consideration the load profile, the frequency spectrum of non-linear loads, and the technical constraints such as voltage limits at different buses (slack and load buses) of the system, feeder capacity, THD limits, and maximum penetration limit of DG units. The optimization process is based on the Genetic Algorithm (GA) method with three scenarios of objective function: system power losses, THD, and multi-objective function-based power losses and THD. This method is executed on the IEEE 31-bus system under sinusoidal and non-sinusoidal (harmonics) operating conditions including load variations within the 24-hr period. The simulation results using Matlab environment show the robustness of this method in optimal sizing and siting of DG, efficiency for improvement of voltage profile, reduction of power losses, and THD. A comparison with particle swarm optimization (PSO) method shows that the proposed method is better than PSO in reducing the power losses and THD in all suggested scenarios.     

基于遗传算法和微分进化算法的分布式电源优化配置

配电系统中,分布式电源（DG）安装位置的选择、额定容量的确定对于电网规划、设计和投资至关重要,以10节点配电网系统为例,采用遗传算法和微分进化算法对分布式电源进行了优化配置,建立了DG的不确定性模型,并将其加入到优化分析中,给出了优化算法的求解程序。对含DG的配电网进行了潮流计算,分析了DG容量与系统总网损的关系。算例分析结果表明,优化配置有效改善了配电网的电压分布,减小了网损,提高了系统负荷率,说明了该优化配置方法合理、有效。     

An efficient optimal capacitor allocation in DG embedded distribution networks with islanding operation capability of micro-grid using a new genetic based algorithm

Capacitor banks are commonly used in electric distribution networks as a kind of reactive power sources. These sources are located in distribution networks for power factor correction, loss reduction, and voltage profile improvement. For these purposes optimal capacitor placement is needed to determine capacitors types, sizes and locations. Distribution system with Distributed Generation (DG) can have micro-grid that it will operate in both grid-connected and islanded modes of operation. The aim of this paper is to provide a method for optimal capacitor (fixed and switchable) placement in such a distribution network. The effect of different operation modes of DGs on the network is also investigated. The proposed method can guarantee the benefits of capacitor installation at different load levels. It is based on genetic algorithm (GA) with new coding and operators. Switching table of the allocated capacitors can be found through the proposed structure of the chromosome. Some case studies developed to illustrate the efficiency of the proposed method.     

An efficient hybrid method for solving the optimal sitting and sizing problem of DG and shunt capacitor banks simultaneously based on imperialist competitive algorithm and genetic algorithm

Nowadays due to development of distribution systems and increase in electricity demand, the use of distributed generation (DG) sources and capacitors banks in parallel are increased. Determining the installation location and capacity are two significant factors affecting network loss reduction and improving network performance. This paper, proposes an efficient hybrid method based on Imperialist Competitive Algorithm (ICA) and genetic algorithm (GA) which can greatly envisaged with problems for optimal placement and sizing of DG sources and capacitor banks simultaneously. The objective function is power loss reduction, improving system voltage profile, increasing voltage stability index, load balancing and transmission and distribution relief capacity for both utilities and the customers.The proposed method is implemented on IEEE 33 bus and 69 bus radial distribution systems and the results are compared with GA/Particle swarm optimization (PSO) method. Test results show that the proposed method is more effective and has higher capability in finding optimum solutions.     

考虑DG时序特性及EV时空特性的配电网规划

分布式电源(DG)出力以及电动汽车(EV)充电的不确定性给配电网规划带来巨大挑战。首先,利用季节场景与时段划分法构建DG和常规负荷时序特性模型;其次,利用蒙特卡洛模拟法和交通起讫点分析法构建EV充电负荷时空分布模型;最后,基于2个模型得到的配电网各节点各时刻的DG出力、不同类型常规负荷及EV充电负荷,以配电网运营商年收益最大为目标函数,充分考虑网架新建、网架替换和DG选址定容等因素,构建考虑时序特性含DG和EV的配电网机会约束规划模型,并采用蒙特卡洛模拟嵌入双种群协同进化遗传算法的方法对模型进行求解。以某配电网为算例,验证了所提模型和算法的合理性和有效性。     

Impacts of load models and power factor control on optimal sizing of photovoltaic distributed generators in a distribution system

This paper studies the impact of optimal sizing of photovoltaic distributed generators (PV‐DGs) on a distribution system using different static load models (i.e., constant power, constant current, and constant impedance) and various power factor (PF) operations. A probabilistic approach with Monte Carlo simulation is proposed to obtain the optimal size of PV‐DG. Monte Carlo simulation is applied to predict the solar radiation, ambient temperatures, and load demands. The objective is to minimize average system real power losses, with the power quality constraints not exceeding the limits, i.e. voltage and total harmonic voltage distortion (THDv) at the point of common coupling (PCC). A modified Newton method and a classical harmonic flow method are employed to calculate the power flow and THDv values, respectively. An actual 51‐bus, medium‐voltage distribution system in Thailand is employed as a test case. Results demonstrate that the proposed method performs well to provide the optimal size of PV‐DG based on technical constraints. Further, the results show that the three static load models do not affect the optimal PV‐DG size but the model has a different impact for various PF operations. PV‐DGs may improve the voltage regulation and decrease the losses in distribution systems practically, but the THDv values could increase. © 2012 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.