WO2021258810A1 - 一种基于交叉初始化的换流器参数化恒导纳建模方法 - Google Patents
一种基于交叉初始化的换流器参数化恒导纳建模方法 Download PDFInfo
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/18—Network design, e.g. design based on topological or interconnect aspects of utility systems, piping, heating ventilation air conditioning [HVAC] or cabling
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- G—PHYSICS
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- G06F2113/00—Details relating to the application field
- G06F2113/04—Power grid distribution networks
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- G—PHYSICS
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/06—Power analysis or power optimisation
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
Definitions
- the invention relates to the technical field of power system dynamic simulation and modeling, in particular to a converter parameterized constant admittance modeling method based on cross-initialization.
- the high-frequency characteristics of power electronic devices have brought great difficulties to hardware-in-the-loop simulation.
- converters which are widely used in new energy sources, have always been the key points of power system simulation analysis.
- the processing of power electronic switches is related to the accuracy and efficiency of the entire network solution.
- how to simulate the power electronic switch is the main difficulty in the simulation of this type of system.
- the power electronic switch electromagnetic transient simulation model can be optimized from the aspects of average model, characteristic analysis modeling, integration method and interpolation algorithm.
- the optimization of the electromagnetic transient model of the switching device can not only improve the simulation accuracy of the model, but also increase the maximum feasible step size of the simulation calculation to a certain extent.
- the development of dynamic simulation has significant significance.
- the parameterized constant admittance model of the converter based on cross-initialization can significantly improve the accuracy of electromagnetic transient simulation of new energy sources and the maximum feasible step size of the simulation. It can well solve the problem of virtual power loss and affect the electromagnetic transient of power electronic devices. Simulation modeling plays a guiding role and is of great significance in the electromagnetic transient analysis of modern power systems.
- the technical problem to be solved by the present invention is to provide a converter parametric constant admittance modeling method based on cross-initialization.
- the converter model has been optimized to improve the simulation accuracy of the model and the maximum feasible simulation step size, and well solve the virtual power loss problem, and further improve the simulation speed of the small-step electromagnetic transient simulation of the power electronic converter And precision.
- the present invention provides a parametric constant admittance modeling method of a converter based on cross initialization, which includes the following steps:
- the electromagnetic transient simulation model of the converter includes power electronic switches, inductors, capacitors, and control parts.
- the specific relationships are as follows:
- the DC side voltage U dc is provided by an external DC voltage source.
- the DC side output current I dc and output power P dc pass through the parallel capacitors on the DC side and then pass into several groups of bridge arms composed of upper and lower switches, and then output to the AC power grid U In ac ; the grid feeds back active power P grid and reactive power Q gird to the outer loop controller, the outer loop controller outputs current reference values idref and iqref to the inner loop controller, and the inner loop controller sends the AC side dq axis current component id , Iq is compared with the reference value to generate the SPWM control signal of the inverter.
- step (2) the cross-initialization correction method is specifically:
- the injection current source of the action switch is calculated using the historical state quantities of the voltage and current of the other switch on the corresponding bridge arm, which can greatly reduce the error offset of the initial value at the switching time, assuming the commutation
- the operating state of the converter is switched from S 1 off and S 2 on to S 1 on and S 2 off, and the initial value of the cross initialization is obtained:
- step (3) the establishment of an electromagnetic transient simulation equivalent model of the inverter is specifically as follows:
- ⁇ and ⁇ are the voltage coefficient and current coefficient of the equivalent injection current source, respectively.
- the above formula is an algebraic equation containing unknown state quantity voltage u(t), current i(t) and known state quantity voltage u(t- ⁇ t) at the previous time and current i(t- ⁇ t) at the previous time.
- step (4) the steps of establishing an electromagnetic transient simulation model according to the network topology and the expected control effect are as follows:
- the parameter selection method of the present invention establishes an electromagnetic transient simulation model of a power electronic converter.
- the advantage of parameter method modeling is to consider establishing a pure mathematical model on the basis of being able to break away from the limitations of actual physical objects.
- the cross-initialization method is used for model state switching correction, which greatly reduces the transient error caused by state switching, thereby greatly reducing the voltage, current, and power ripples. It better solves the problem of virtual power loss; compared with the traditional constant admittance simulation model, the accuracy of the improved converter model is greatly increased, which will greatly improve the simulation results of the electromagnetic transient simulation of the power electronic converter.
- it solves the problem of virtual power loss during state switching plays a guiding role in the electromagnetic transient modeling of new energy in the future, and is of great significance to the further development of electromagnetic transient simulation modeling.
- Figure 1 is a schematic flow diagram of the method of the present invention.
- Fig. 2 is a schematic diagram of the electromagnetic transient simulation model of the inverter of the present invention.
- Figure 3 is a schematic diagram of the cross-initialization principle of the present invention.
- Fig. 4 is a comparison diagram of the voltage waveforms of the A-phase upper arm switching of the Ron/Roff model, the LC model and the model of the present invention.
- Figure 5 is a comparison diagram of the power loss waveforms of the A-phase upper arm switch of the Ron/Roff model, the LC model and the model of the present invention.
- Fig. 6 is a comparison diagram of the simulated A-phase output active power of the Ron/Roff model, the LC model and the model of the present invention.
- the present invention adopts a parameterization method to establish an electromagnetic transient model of the converter, analyzes the operating characteristics of the model to determine the optimal parameters, and uses a cross-initialization method to process state switching errors, and builds a constant admittance electromagnetic transient simulation parameterized model of the converter, thereby A new parametric constant admittance modeling method for converters based on cross-initialization is proposed.
- Fig. 1 The parameterized constant admittance modeling method of converter based on cross initialization disclosed in the present invention is shown in Fig. 1, and includes the following steps:
- Step (1) Perform electromagnetic transient simulation modeling for the power electronic converter, where the switch adopts the parameter historical current source constant admittance model, and the other components are established by the traditional electromagnetic transient simulation integral model, and the initial value and step of the system are given. long;
- Step (2) Detect whether the operating state switch occurs, if the state switch occurs, perform cross-initialization correction, if it does not occur, do not deal with it;
- Step (3) Calculate model parameters according to the network topology and expected control effect, establish the equivalent electromagnetic admittance matrix and historical current source of the whole network, and obtain the equivalent electromagnetic transient simulation model of the converter;
- Step (5) Update the electromagnetic transient simulation equivalent admittance matrix and historical current source based on the current state of each node in the network for the next time solution, and return to step (2) until the simulation termination time is reached.
- Step (11) The relationship between the internal links of the electromagnetic transient simulation model of the converter is as follows:
- the DC side voltage U dc is provided by an external DC voltage source.
- the DC side output current I dc and output power P dc pass through the parallel capacitors on the DC side and then pass into several groups of bridge arms composed of upper and lower switches, and then output to the AC power grid U In ac ; the grid feeds back active power P grid and reactive power Q gird to the outer loop controller, the outer loop controller outputs current reference values idref and iqref to the inner loop controller, and the inner loop controller sends the AC side dq axis current component id , Iq is compared with the reference value to generate the SPWM control signal of the inverter.
- Step (21) The cross-initialization correction method is specifically as follows:
- the injection current source of the action switch is calculated using the historical state quantities of the voltage and current of the other switch on the corresponding bridge arm, which can greatly reduce the error offset of the initial value at the switching time, assuming the commutation
- the operating state of the converter is switched from S 1 off and S 2 on to S 1 on and S 2 off, and the initial value of the cross initialization is obtained:
- Step (31) Establish an electromagnetic transient simulation equivalent model of the converter specifically as follows:
- ⁇ and ⁇ are the voltage coefficient and current coefficient of the equivalent injection current source, respectively.
- the above formula is an algebraic equation containing unknown state quantity voltage u(t), current i(t) and known state quantity voltage u(t- ⁇ t) at the previous time and current i(t- ⁇ t) at the previous time.
- Step (41) Establish a parametric constant admittance model of the converter:
- Step (42) Perform a complex frequency domain steady-state operation analysis on the switch model, and obtain the parameter expression of the switch model as:
- Step (43) According to the network topology, the matrix equations about the midpoint voltage of the converter bridge arm and the switches in the off state are obtained. For example, the upper bridge arm switches are turned on and the lower bridge arms are turned off:
- Step (44) analyzes the transient operating characteristics of the parameterized model, and obtains the corresponding parameters of the model in two different operating states as follows:
- Step (46) Combine the interface parameters to solve the electromagnetic transient simulation equation of the converter, and obtain the current state of each node to update the electromagnetic transient equivalent admittance matrix and historical current source. Return to step (43) and continue the calculation until it reaches the Simulation termination time.
- the following compares three different electromagnetic transient model simulation waveforms of power electronic converters to illustrate the technical advantages of the parametric constant admittance modeling method of the converter based on cross-initialization.
- the simulation modeling of a three-phase bridge rectifier system is carried out, and the simulation step is 1 ⁇ s.
- the relevant parameters of the inverter model are shown in Table 1.
- the equivalent electromagnetic transient simulation model of the converter is shown in Figure 2.
- the principle of cross-initialization is shown in Figure 3.
- the simulation waveform comparison of Ron/Roff model, LC model and this modified model is shown in Fig. 4-6.
- Fig. 4 is the voltage comparison of the A-phase upper arm switch S 1
- Fig. 5 is the A-phase upper arm switch S 1 power. Loss comparison
- Figure 6 is the comparison of A-phase output active power.
- the waveform of the modified converter parameterized model (thin solid line) is closer to the Ron/Roff model (thick dashed line) than the waveform of the LC model (thick dotted line).
- the paper mentioned in this paper is based on cross initialization
- the parameterized model of the converter can improve the simulation convergence performance of the converter model, and the virtual power loss at the moment of state switching is greatly reduced.
- the simulation results of the parameterized converter model based on cross-initialization and the Ron/Roff model are basically the same, which shows the effectiveness of the method proposed in this paper.
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Abstract
Description
换流器模型相关参数 | 参数大小 |
交流电压源线电压有效值U m(V) | 380 |
交流电压源频率f ac(Hz) | 50 |
直流侧负载R(Ω) | 1 |
直流侧电容C(mF) | 5 |
换流器内部等效杂散电阻R s(Ω) | 0.1 |
换流器内部等效杂散电感L s(mH) | 8 |
换流器开关等效导纳G eq(S) | 1 |
有功功率额定值P(kW) | 45 |
无功功率额定值Q(kvar) | 0 |
载波频率f T(Hz) | 5000 |
Claims (5)
- 一种基于交叉初始化的换流器参数化恒导纳建模方法,其特征在于,包括如下步骤:(1)对电力电子换流器进行电磁暂态仿真建模,其中开关采用参数历史电流源恒导纳模型,其他元件采用传统电磁暂态仿真积分模型建立,并给定***初始值和步长;(2)检测是否发生运行状态切换,如果发生状态切换则进行交叉初始化修正,如果未发生不做处理;(3)根据网络拓扑结构和预期控制效果计算模型参数,建立全网等效电磁导纳矩阵和历史电流源,得到换流器电磁暂态仿真等效模型;(4)根据电磁暂态基本求解方程I=YU求解电磁暂态仿真等效模型建立的方程,获取当前时刻换流器电磁暂态模型仿真结果;(5)根据当前时刻网络各节点状态量,更新电磁暂态仿真等效导纳阵和历史电流源用于下一时刻求解,回到步骤(2),直至到达仿真终止时间。
- 如权利要求1所述的一种基于交叉初始化的换流器参数化恒导纳建模方法,其特征在于,步骤(1)中,换流器电磁暂态仿真模型包括电力电子开关、电感、电容和控制部分,具体关系如下:直流侧电压U dc由外部直流电压源提供,直流侧输出电流I dc与输出功率P dc经过直流侧并联电容后传入若干组由上下两个开关组成的桥臂,再传出到交流电网U ac中;电网反馈有功功率P grid和无功功率Q gird给外环控制器,外环控制器输出电流参考值idref、iqref给内环控制器,内环控制器将交流侧dq轴电流分量id、iq与参考值大小进行比较产生逆变器的SPWM控制信号。
- 如权利要求1所述的一种基于交叉初始化的换流器参数化恒导纳建模方法,其特征在于,步骤(4)中,根据网络拓扑结构和预期控制效果建立电磁暂态仿真模型的步骤如下:(41)建立换流器参数化恒导纳模型:(42)对开关模型进行复频域稳态运行分析,得到开关模型参数表达式为:(43)根据网络拓扑结构求解得到关于换流器桥臂中点电压和关断状态下开关的矩阵方程,以上桥臂开关导通、下桥臂开关关断为例:(44)分析参数化模型暂态运行特性,得到两种不同运行状态下模型对应参数如下:(45)建立换流器电磁暂态仿真***控制环节、网侧接口等模型,联立全网电磁暂态仿真***基本方程I=YU;(46)结合接口参数求解换流器电磁暂态仿真方程,得到当前时刻各节点状态量用于更新电磁暂态等效导纳矩阵和历史电流源,回到步骤(43)继续计算直到到达仿真终止时间。
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CN114389308A (zh) * | 2022-01-25 | 2022-04-22 | 太原理工大学 | 一种适用于动态全过程仿真的dfig简化建模方法 |
CN114389308B (zh) * | 2022-01-25 | 2024-03-22 | 太原理工大学 | 一种适用于动态全过程仿真的dfig简化建模方法 |
CN114564831A (zh) * | 2022-02-28 | 2022-05-31 | 南方电网科学研究院有限责任公司 | 一种带通滤波器的电磁暂态建模方法及装置 |
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