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dynamic modeling and direct power control of wind turbine driven dfig under unbalanced network voltage conditionabstract: this paper proposes an analysis and a direct power control (dpc) design of a wind turbine driven doubly-fed induction generator(dfig)under unbalanced network voltage conditions. a dfig model described in the positive and negative synchronous reference frames is presented. variations of the stator output active and reactive powers are fully deduced in the presence of negative sequence supply voltage and rotor flux. an enhanced dpc scheme is proposed to eliminate stator active power oscillation during network unbalance. the proposed control scheme removes rotor current regulators and the decomposition processing of positive and negative sequence rotor currents. simulation results using pscad/emtdc are presented on a 2-mw dfig wind power generation system to validate the feasibility of the proposed control scheme under balanced and unbalanced network conditions.key words: doubly-fed induction generator (dfig) wind turbine, direct power control (dpc), stator voltage oriented (svo), unbalanced networkintroduction,wind farms based on the doubly-fed induction generators (dfig) with converters rated at 25%30%of the generator rating for a given rotor speed variation range of25%are becoming increasingly popular. compared with the wind turbines using fixed speed induction generators or fully-fed synchronous generators with full-size converters the dfig-based wind turbines offer not only the advantages of variable speed operation and four-quadrant active and reactive power capabilities, but also lower converter cost and power losses (pena et al., 1996).however, both transmission and distribution networks could usually have small steady state and large transient voltage unbalance. if voltage unbalance is not considered by the dfig control system, the stator current could become highly unbalanced even with a small unbalanced stator voltage. the unbalanced currents create unequal heating on the stator windings, and pulsations in the electromagnetic torque and stator output active and reactive powers(chomatetal.,2002;jang et al.,2006;zhou et al.,2007;pena et al., 2007;hu et al.,2007;xu and wang,2007;hu and he,2008).control and operation of dfig wind turbine systems under unbalanced network conditions is traditionally based on either stator-flux-oriented(sfo)(xu and wang,2007)or stator-voltage-oriented(svo)vector control(jang et al.,2006;zhou et al.,2007;hu et al.,2007;hu and he,2008).the scheme in(jang et al.,2006;zhou et al.,2007;xu and wang,2007;hu et al.,2007)employs dual-pi(proportional integral)current regulators implemented in the positive and negative synchronously rotating reference frames, respectively, which has to decompose the measured rotor current into positive and negative sequence components to control them individually. one main drawback of this approach is that, the time delays introduced by decomposing the sequential components of rotor current can affect the overall system stability and dynamic response. thus, a current control scheme based on a proportional resonant(pr)regulator in the stator stationary reference frame was proposed in(hu and he,2008), which can directly control the rotor current without the need of sequential decomposition. whereas, the performance of the vector control scheme highly depends on the accurate machine parameters such as stator/rotor inductances and resistances used in the control system.similar to direct torque control (dtc) of induction machines presented a few decades ago, which behaves as an alternative to vector control, direct power control (dpc)of dfig-based wind turbine systems has been proposed recently(gokhaleet al.,2002;xu and cartwright,2006;zhi and xu,2007). in (gokh a le et al., 2002), the control scheme was based on the estimated rotor flux. switching vectors were selected from the optimal switching table using the estimated rotor flux position and the errors of rotor flux and active power. the rotor flux reference was calculated using the reactive power reference. since the rotor supply frequency, equal to the dfig slip frequency, might be very low, the rotor flux estimation could be significantly affected by the machine parameter variations. in (xu and cartwright,2006),a dpc strategy based on the estimated stator flux was proposed. as the stator voltage is relatively harmonics-free and fixed in frequency, a dfig estimated stator flux accuracy can then be guaranteed. switching vectors were selected from the optimal switching table using the estimated stator flux position and the errors of the active and reactive powers. thus, the control system was simple and the machine parameters impact on the system performance was found to be negliable. however, like a conventional dtc, dpc has the problem of unfixed switching frequency, due to the significant influence of the active and reactive power variations, generator speed, and power controllers hysteresis bandwidth. more recently, a modified dpc strategy has been proposed in (zhi and xu, 2007) based on sfo vector control in the synchronous reference frame for dfig-based wind power generation systems with a constant switching frequency. the control method directly calculates the required rotor control voltage within each switching period, based on the estimated stator flux, the active and reactive powers and their errors. the control strategy provides improved transient performance with the assumption of the stator (supply) voltage being strictly balanced. however, the operation could be deteriorated during the supply voltage unbalance and there is no report yet on dfig dpc under unbalanced network voltage conditions.this paper investigates an improved dpc scheme for a dfig wind power generation system under unbalanced network conditions. in the svo dq reference frame, a mathematical dpc model of a dfig system with balanced supply is presented, which is referred to as the conventional model in this paper. then during network unbalance, a modified dfig dpc model in the svo positive dq and negative dq reference frames is developed .based on the developed model, a system control strategy is proposed by eliminating the stator output active power oscillations under unbalanced network conditions. finally, simulation results on a 2-mw dfig wind generation system are presented to demonstrate the correctness and feasibility of the proposed control strategy.simulation studies,simulations of the proposed dpc strategy for a dfig-based wind power generation system were conducted using pscad/emtdc. a single-phase load at the primary side of the coupling transformer was used to generate the voltage unbalance. the nominal dc link voltage was set at 1 200 v and the switching frequencies for both converters were 2 000 hz. the main target of the grid side converter was assigned to control the dc link voltage with the similar method used in(song and nam,1999;hu et al.,2007).as shown in fig.7,a high frequency ac filter is shunt-connected to the stator side to absorb the switching harmonics generated by the twoconverters. initial studies with various active and reactive power steps were carried out to test the dynamic response using the conventional control scheme shown in fig.4 in the conditions of balanced supply voltage. first, the dfig was assumed to be in speed control, viz., the rotor speed was set externally, as the large inertia of the wind turbine resulting in a slow change of the rotor speed. the active and reactive powers were initially set at 0 mw and0.5 mva, respectively, where refers to absorbing reactive power. various power steps were applied, viz., active and reactive power references were changed from 0 to2 mw at the instant of 1.3 s. conclusion,this paper has proposed an analysis and an improved dpc design for a dfig-based wind power generation system during network voltage unbalance. simulation results were presented to demonstrate the feasibility of the proposed control scheme. conclusions can be drawn as follows: (1)the conventional dpc scheme without net-work unbalance considered can provide pretty good dynamic system performance when the supply voltage is strictly balanced. however, once the net-work is slightly unbalanced, the performance deteriorates with high stator/rotor current unbalances and significant oscillations in the stator active/reactive power and electromagnetic torque. (2)the proposed dpc scheme, which is implemented in the svo positive dq+ and negative dq reference frames, gets rid of the decomposition process of positive and negative sequence rotor currents in the vector control scheme using dual-pi rotor enhanced by the elimination of the stator output active power oscillations and the reduction of the electro-magnetic torque pulsations during network unbalance. 动态建模与驱动的双馈风力发电机直接供电网络的电压不平衡条件下的控制摘要:本文提出了一种分析和直接功率控制(dpc)的驱动的不平衡电网电压条件下双馈感应发电机(双馈)风力发电机组的设计。一个双馈模型中描述的正面和负面的同步提出了参考框架。变化的定子输出有功,无功的权力是完全推导出的负序电压和转子磁链的存在。增强的dpc的计划,提出在网络,以消除不平衡定子有功功率振荡。建议中的管制机制将消除转子电流调节器和正,负序转子电流分解处理。仿真结果使用pscad / emtdc的提出在2兆瓦双馈风力发电系统,以验证网络下的平衡和不平衡的状况下,提出的控制方案的可行性。关键词:双馈感应发电机(双馈)风力发电机组,直接功率控制(dpc),定子电压定向,非平衡网络 风力发电场的双馈感应发电机与转换器在2530给定转子速度变化范围 25额定发电机(双馈)的基础正在变得越来越受欢迎。相对于采用固定速异步风力发电机或完全够了全尺寸的转换器,同步发电机双馈型风力涡轮机不仅提供了变速操作和四象限有功,无功功率能力涡轮机的优点,同时也降低转换器成本和功率损耗。然而,无论输配电网络通常可以有小的稳态和瞬态电压不平衡大。如果电压不平衡不是由双馈电机控制系统的考虑,定子电流极不平衡,甚至可能成为一个小定子电压不平衡。创建不平等的不平衡电流加热定子绕组,在电磁转矩和定子输出有功,无功权力。控制与双馈风力发电机组的条件下不平衡网络系统的运行是基于传统或定子磁场定向或定子电压导向矢量控制采用双皮(在正面和负面的同步旋转坐标系实施比例积分)电流调节器,分别具有测量转子分解为正,负序分量电流来控制它们。这种方法的一个主要缺点是,分解的时间序列的转子组件介绍当前的延误可能会影响整个系统的稳定性和动态响应。因此,一个电流控制计划按比例谐振(pr)在定子静止坐标系的基础上,提出监管机构在它可以直接控制的顺序分解而不需要转子电流。鉴于,对矢量控制方案的性能,高度依赖于如定子/转子电感和电阻的精确控制系统中使用的机器参数。类似的直接转矩控制的感应电机器(dtc)提出了几十年前,它作为一个矢量控制的替代行为,直接功率控制(dpc)的的双馈型风力发电机组已经提出了近期该控制方案是基于转子磁通估计。交换载体选自最优开关使用转子磁通估计位置和转子磁通与有功功率表的错误。转子磁通参考乃采用无功功率的参考。由于转子供电频率,相当于双馈电机转差频率,可能非常低,转子磁通估计可能有重大影响的机床参数的变化。对估计的定子磁链为基础,提出了dpc的战略。由于定子电压相对谐波和无

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