Reliability-based topology optimization for offshore wind farm collection system

An optimization framework for global optimization of the cable layout topology for offshore wind farm (OWF) is presented. The framework designs and compares closed-loop and radial layouts for the collection system of OWFs. For the former, a two-stage stochastic optimization program based on a mixed integer linear programming (MILP) model is developed, while for the latter, a hop-indexed full binary model is used. The purpose of the framework is to provide a common base for assessing both designs economically, using the same underlying contingency treatment. A discrete Markov model is implemented for calculating the cable failure probability, useful for estimating the time under contingency for multiple power generation scenarios. The objective function supports simultaneous optimization of (i) initial investment (network topology and cable sizing), (ii) total electrical power loss costs and (iii) operation costs due to energy curtailment from cable failures. Constraints are added accounting for common engineering aspects. The applicability of the full method is demonstrated by tackling three differently sized real-world OWFs. Results show that (i) the profitability of either topology type depends strongly on the project size and wind turbine rating. Closed loop may be a competitive solution for large-scale projects where large amounts of energy are potentially curtailed. (ii) The stochastic model presents low tractability to tackle large-scale instances, increasing the required computing time and memory resources. (iii) Strategies must be adopted in order to apply stochastic optimization for modern OWFs, intending analytically or numerically simplification of mathematical models.     

海上风电场功率提升和疲劳平衡综合优化控制

针对海上风电场,综合功率提升和疲劳平衡分配的优化目标,提出一种以天为优化周期的优化策略。在电网高负荷时段,基于Jensen尾流模型,以轴向诱导因子为优化变量,风电场整场功率最大为目标,运用随机粒子群算法进行风功率利用提升优化控制;在电网低负荷时段,基于风电机组综合疲劳系数计算方法,以机组轴向诱导因子为优化变量,应用尾流计算模型调整轴向诱导因子来满足电网限功率指令,以机组疲劳系数标准差最小为目标,采用粒子群算法寻优进行疲劳平衡优化。以某海上风电场进行算例分析,结果表明该优化策略在一天的优化周期内可较好地实现风电场功率提升和疲劳平衡的综合优化。     

基于CFO的海上风电场微观选址优化算法研究

海上风电场用海面积有限,尾流影响比陆上大,微观选址是其规划设计的关键技术。传统优化算法大多采用离散化变量,使得潜在解空间减少到有限个,难以达到最优化的效果。为了提高海上风电场微观选址优化效率,文章提出了一种基于中心引力优化(CFO)算法的海上风电场微观选址方法。该算法使用实数编码,通过将微观选址优化的变量假设为天体,各个天体之间相互作用,达到平衡的原理,具有可能得到全局最优解和效率高的优点。使用该算法对海上风电场微观选址优化进行仿真,并与现有方法比较。结果表明,所提出的算法得到的排布方式发电量最高,并具有优化精度高、速度快和优化排布较为均匀的特点。该研究结果可以为实际工程应用提供参考。     

Overall Optimization for Offshore Wind Farm Electrical System

Based on particle swarm optimization (PSO), an optimization platform for offshore wind farm electrical system (OWFES) is proposed in this paper, where the main components of an offshore wind farm and key technical constraints are considered as input parameters. The offshore wind farm electrical system is optimized in accordance with initial investment by considering three aspects: the number and siting of offshore substations (OS), the cable connection layout of both collection system (CS) and transmission system (TS) as well as the selection of electrical components in terms of voltage level and capacity. Because hundreds of optimization variables, continuous or discrete, are involved in the problem, a mix integer PSO (MIPSO) is required to obtain the solution. The fuzzy C‐means clustering (FCM) algorithm is used to partition the wind farm into several sub regions. The collection system layout in each sub region as well as the connection scheme between offshore substations are optimized by an adaptive PSO‐minimum spanning tree algorithm (APSO‐MST) which has been proposed in a previous work. The simulation results show that the proposed optimization platform can find an optimized layout that save 3.01% total cost compared with the industrial layout, and can be a useful tool for OWFES design and evaluation. Copyright © 2016 John Wiley & Sons, Ltd.     

Optimization of wind farm turbines layout using an evolutive algorithm

The optimum wind farm configuration problem is discussed in this paper and an evolutive algorithm to optimize the wind farm layout is proposed. The algorithm's optimization process is based on a global wind farm cost model using the initial investment and the present value of the yearly net cash flow during the entire wind-farm life span. The proposed algorithm calculates the yearly income due to the sale of the net generated energy taking into account the individual wind turbine loss of production due to wake decay effects and it can deal with areas or terrains with non-uniform load-bearing capacity soil and different roughness length for every wind direction or restrictions such as forbidden areas or limitations in the number of wind turbines or the investment. The results are first favorably compared with those previously published and a second collection of test cases is used to proof the performance and suitability of the proposed evolutive algorithm to find the optimum wind farm configuration.     

The key technology of offshore wind farm and its new development in China

The paper reviews characteristics and the developing state of abroad offshore wind farm briefly, and the key technology related to offshore wind farm. The optimization configuration and assessment of abroad offshore wind farm, and rational distribution assess, offshore wind farm electric transmission technology, system insert with operating, wind farm MES and wind turbine base, etc., are studied to put forward corresponding implementation and solution. The conditions for research and development, and demonstration of its application are suggested. Through studying key offshore wind farm technology, we can make offshore wind farm system optimization designing techniques reach the most advanced levels internationally, train teams with innovation ability, which are engaged in designing and running wind farm to manage wind-power electricity generation and wind farm design . All of these are of strategic, economic, social and academic value.     

几何约束条件下海上风电场布局优化方法研究

考虑实际工程需求,开发一种几何约束条件下海上风电场智能布局优化方法。该方法使用Gaussian模型计算风力机尾流区的速度亏损,并以最大化风电场年发电量为目标采用差分进化算法进行优化,可满足海上风电场布局时的各类几何约束。利用该方法分别在3行、4行、7行几何约束下对中国某海上风电场的风力机排布方式进行优化。结果显示,相比于原始布局方案,在考虑海缆铺设成本增加的情况下布局优化方案可提升风电场年发电量2.13%～2.64%。进一步分析表明,布局优化过程中可行解数量的设置需综合考虑智能算法寻优难度的影响。     

A novel control strategy approach to optimally design a wind farm layout

Recently wind energy has become one of the most important alternative energy sources and is growing at a rapid rate because of its renewability and abundancy. For the clustered wind turbines in a wind farm, significant wind power losses have been observed due to wake interactions of the air flow induced by the upstream turbines to the downstream turbines. One approach to reduce power losses caused by the wake interactions is through the optimization of wind farm layout, which determine the wind turbine positions and control strategy, which determine the wind turbine operations. In this paper, a new approach named simultaneous layout plus control optimization is developed. The effectiveness is studied by comparison to two other approaches (layout optimization and control optimization). The results of different optimizations, using both grid based and unrestricted coordinate wind farm design methods, are compared for both ideal and realistic wind conditions. Even though the simultaneous layout plus control optimization is theoretically superior to the others, it is prone to the local minima. Through the parametric study of crossover and mutation probabilities of the optimization algorithm, the results of the approach are generally satisfactory. For both simple and realistic wind conditions, the wind farm with the optimized control strategy yield 1–3 kW more power per turbine than that with the self-optimum control strategy, and the unrestricted coordinate method yield 1–2 kW more power per turbine than the grid based method.     

Overall design optimization of wind farms

An Evolutive Algorithm (EA) for wind farm optimal overall design is presented. The algorithm objective is to optimize the profits given an investment on a wind farm. Net Present Value (NPV) will be used as a figure of the revenue in the proposed method. To estimate the NPV is necessary to calculate the initial capital investment and net cash flow throughout the wind farm life cycle. The maximization of the NPV means the minimization of the investment and the maximization of the net cash flows (to maximise the generation of energy and minimise the power losses). Both terms depend mainly on the number and type of wind turbines, the tower height and geographical position, electrical layout, among others. Besides, other auxiliary costs must be to keep in mind to calculate the initial investment such as the cost of auxiliary roads or tower foundations. The difficulty of the problem is mainly due to the fact that there is neither analytic function to model the wind farm costs nor analytic function to model net generation. The complexity of this problem arises not only from a technical point of view, due to strong links between its variables, but also from a purely mathematical point of view. The problem consists of both discrete and continuous variables, being therefore an integer-mixed type problem. The problem exhibits manifold optimal solutions (convexity), some variables have a range of non allowed values (solutions space not simply connected) and others are integers. This fact makes the problem non-derivable, preventing the use of classical analytical optimization techniques.     

水平轴风力机组风场全局优化策略研究

为优化风场布置,减小上游风力机尾迹影响,以实现风场全局优化,基于致动线方法,利用OpenFOAM(多物理场运行与操作开源软件)对风力机组风场进行了15种风轮俯仰工况及9种错排布置的数值模拟,比较各优化策略下的风场总输出功率,并结合流场细微结构参数分布,分析不同优化方法对风场全局影响的流动机理。结果表明:尾迹对风场下游风力机影响严重。两种数值模拟优化方法均可实现风场全局优化,其中风轮俯仰优化策略可使风场总输出功率最大提高34.5%;风力机组错排布置可提高68.5%。此外,风场上游风力机功率在风轮俯仰时下降明显,风力机组错排时几乎无变化。     

Optimisation of electrical system for offshore wind farms via genetic algorithm

An optimisation platform based on genetic algorithm (GA) is presented, where the main components of a wind farm and key technical specifications are used as input parameters and the electrical system design of the wind farm is optimised in terms of both production cost and system reliability. The power losses, wind power production, initial investment and maintenance costs are considered in the production cost. The availability of components and network redundancy are included in the reliability evaluation. The method of coding an electrical system to a binary string, which is processed by GA, is developed. Different GA techniques are investigated based on a real example offshore wind farm. This optimisation platform has been demonstrated as a powerful tool for offshore wind farm design and evaluation.     

基于蚁狮算法的风电集群储能容量配置优化方法

随着风电渗透率提高,风电并网对电网安全稳定运行影响更加显著。风电配备储能可有效改善风电出力波动性和不确定性,增强可调度性。该文建立以风电集群联合储能系统售电收益最高为优化目标的模型,采用蚁狮算法算法进行求解,得到风电集群功率备用、储能功率和容量最优配置方案,对比蚁狮算法、遗传算法和粒子群算法优化结果,分析储能电池单位成本和寿命对优化结果影响。最后以中国东北某风电集群作为算例,验证了所提算法与模型的有效性。     

Optimal selection of time windows for preventive maintenance of offshore wind farms subject to wake losses

The maintenance of wind farms is one of the major factors affecting their profitability. During preventive maintenance, the shutdown of wind turbines causes downtime energy losses. The selection of when and which turbines to maintain can significantly impact the overall downtime energy loss. This paper leverages a wind farm power generation model to calculate downtime energy losses during preventive maintenance for an offshore wind farm. Wake effects are considered to accurately evaluate power output under specific wind conditions. In addition to wind speed and direction, the influence of wake effects is an important factor in selecting time windows for maintenance. To minimize the overall downtime energy loss of an offshore wind farm caused by preventive maintenance, a mixed-integer nonlinear optimization problem is formulated and solved by the genetic algorithm, which can select the optimal maintenance time windows of each turbine. Weather conditions are imposed as constraints to ensure the safety of maintenance personnel and transportation. Using the climatic data of Cape Cod, Massachusetts, the schedule of preventive maintenance is optimized for a simulated utility-scale offshore wind farm. The optimized schedule not only reduces the annual downtime energy loss by selecting the maintenance dates when wind speed is low but also decreases the overall influence of wake effects within the farm. The portion of downtime energy loss reduced due to consideration of wake effects each year is up to approximately 0.2% of the annual wind farm energy generation across the case studies—with other stated opportunities for further profitability improvements.     

一种评价风电场设计水平的新方法

提出了一种独立于当地风资源、基于实际设计水平来评价风电场设计水平的新方法。根据影响发电量的主要设计因素,引入衡量风电机组的选型和布置的3个新指标:风电场发电效率、风电机组容量系数和风电机组布置系数,并推导出这3个系数的表达式。提出的3个新指标具有明确的物理意义,可以定量评价风电场风电机组选型和布置对风电场设计水平的影响。最后对两个实际风电场进行了计算和分析,所得结果的正确性得到风电场实际运行调研和后评价的验证。该方法不仅提出了较全面的对风电场设计水平的评价方法,而且可以进行量化评分,对风电场的设计具有重要的理论意义和经济价值。     

基于网格-坐标化遗传算法的风电场布局优化

采用Jensen尾流模型来描述风电机组间尾流的干扰效应。首先基于网格化的改进遗传算法获得风电机组的数量和布局初始位置,再通过坐标化遗传算法对风电机组位置进行进一步调整优化,从而提高单位成本的发电量。根据所提出的方法,在3种不同的风场（定风向定风速、定风速变风向和变风速变风向）下,针对2 km×2 km的标准风场区域进行风电机组布局优化,再将其应用到不规则的实际案例,对比分析表明所提出的方法能有效提高发电量。     

海上风电场工程集电系统拓扑设计研究

海上风电场的集电系统设计是电气专业设计的一个重要内容,集电系统的拓扑布局和开关配置设计对整个集电系统的经济性和可靠性影响很大。广泛调研了国内外主要研究和工程成果,分析对比了集电系统的多种布局和开关配置设计,结合案例给出了适合案例工程情况的集电系统总体设计方案,并展望了未来大容量,远距离海上风场的集电系统方案设计趋势。     

风向对广东海上风电场风机布置的影响

引入一个包含20台4 MW风力发电机组,风机布置采用规则几何构型的海上风电场理论模型,设计了两大类共4个不同的风机阵列,根据1991-2010年广东近海区域MERRA再分析资料,从海面风向的季节变化、扇区划分方式变化以及风向频率分布变化等三个方面开展数值试验研究。结果表明:平行四边形阵列比矩形阵列更具灵活性,能够适应更复杂的风向季节性偏转;风机布置需要更加细致的风向扇区划分方式,传统的16个风向扇区划分方式难以适应风机阵列最佳朝向的选择与调整;风机布置方案比选需要考虑风向频率分布的年际变动,通过敏感性试验识别更具稳定性的风机阵列。     

基于改进粒子群优化算法与风速分布回归函数法的复杂地形风电场优化布置方法

为了研究在复杂地形下的风力机优化排布方法,提出一种改进粒子群（PSO）优化方法,并借助风速回归函数解决一部分复杂地形所致的问题,对实际尾流效应设置约束条件,判断风能利用的最优方案,从而快速确定风力机具体安放坐标,通过Matlab建模仿真,并借助WAsP软件对改进PSO优化算法和传统方法进行对比验证。结果表明,改进粒子群（PSO）优化方法与传统方法相比,年发电量提高了近5.2%,且对复杂地形下的风电场优化布局效果较好。     

Site selection of offshore wind farms around the Korean Peninsula through economic evaluation

We have conducted a feasibility study on the development of offshore wind farms around the Korean Peninsula as part of the national plan. This study deals with the selection of the optimal site for an offshore wind farm. We set rating indices in order to select an optimal site of the candidate coasts, which include the expected B/C (benefit to cost) ratio, the possible installation capacity of the wind farm, the convenience of grid connection, and so on, for each candidate site. The expected B/C ratio is described as the benefit from the annual energy production compared to the costs that correspond to the construction of the turbine foundation, and the grid connection between the offshore wind farm and the substation on land. It can be found from the evaluation that the construction costs associated with the substructure and grid connection are crucial in determining the location of the first offshore wind farm in Korea. Consequently, we could select a top site among the candidate sites to be implemented as the first national project of offshore wind farm development.     

Economic assessment on the use of energy storage to improve clustered wind generation transmission

在大规模风电并网过程中输电容量不足造成的弃风损失越来越严重的情况下,分析了影响输电容量大小的因素,提出了利用储能系统提高风电外送能力的优化方法,建立基于储能系统的输电线路效益经济评估模型,综合考虑了风电的输送需求,输电工程成本,输电运行效益,储能投资成本以及可能阻塞弃风损失等因素,提出了以综合效益最大为目标的输电线路储能系统配置方法.针对某省大型风电基地,利用本文提出的模型及方法对风电场配置储能设备以改善输电容量受限情况,算例结果验证所建模型及方法的合理性,并分析了储能价格等因素对储能系统配置结果的影响.