This article focuses on the study of stability of motion of the phase systems described by differential equations whose right-hand sides are periodic in the angular coordinate. The article deals with the mathematical ...This article focuses on the study of stability of motion of the phase systems described by differential equations whose right-hand sides are periodic in the angular coordinate. The article deals with the mathematical model which has been investigated for stability ＂in the large＂ using the second Lyapunov method. Based on the theoretical results obtained in the work,the computational experiments on concrete examples of electric power systems, which showedthe sufficient efficacy of the proposed method for the studied phase system, were conducted.展开更多
Mathematical modelling for power DC/DC converters is a historical problem accompanying DC/DC conversion technology since 1940’s. The traditional mathematical modelling is not available for complex structure converter...Mathematical modelling for power DC/DC converters is a historical problem accompanying DC/DC conversion technology since 1940’s. The traditional mathematical modelling is not available for complex structure converters since the differential equation order increases very high. We have to search other way to establish mathematical modelling for power DC/DC converters.We have theoretically defined a new concept-Energy Factor （EF） in this paper and researched the relations between EF and the mathematical modelling for power DC/DC converters. EF is a new concept in power DC/DC conversion technology, which thoroughly differs from the traditional concepts such as power factor （PF）, power transfer efficiency （η）, total harmonic distortion （THD） and ripple factor （RF）. EF and the subsequential EFV (and EFVD) can illustrate the system stability, reference response and interference recovery. This investigation is very helpful for system design and DC/DC converters characteristics foreseeing. Two DC/DC converters: Buck converter and Super-Lift Luo-Converter as the samples are analysed in this paper to demonstrate the applications of EF, EFV (and EFVD), PE, SE, VE （and VED）, time constant τ and damping time constant τd.展开更多
With the increase in the proportion of multiple renewable energy sources, power electronics equipment and new loads, power systems are gradually evolving towards the integration of multi-energy, multi-network and mult...With the increase in the proportion of multiple renewable energy sources, power electronics equipment and new loads, power systems are gradually evolving towards the integration of multi-energy, multi-network and multi-subject affected by more stochastic excitation with greater intensity. There is a problem of establishing an effective stochastic dynamic model and algorithm under different stochastic excitation intensities. A Milstein-Euler predictor-corrector method for a nonlinear and linearized stochastic dynamic model of a power system is constructed to numerically discretize the models. The optimal threshold model of stochastic excitation intensity for linearizing the nonlinear stochastic dynamic model is proposed to obtain the corresponding linearization threshold condition. The simulation results of one-machine infinite-bus (OMIB) systems show the correctness and rationality of the predictor-corrector method and the linearization threshold condition for the power system stochastic dynamic model. This study provides a reference for stochastic modelling and efficient simulation of power systems with multiple stochastic excitations and has important application value for stability judgment and security evaluation.展开更多
研究了并网光伏电站动态数学建模与稳定性问题。首先,在考虑电站不同功率控制方式(比如最大功率跟踪控制、定功率控制等)的基础上,建立了可用于电力系统稳定性分析的并网光伏电站的动态数学模型。该模型用微分和代数方程组来描述,便于...研究了并网光伏电站动态数学建模与稳定性问题。首先,在考虑电站不同功率控制方式(比如最大功率跟踪控制、定功率控制等)的基础上,建立了可用于电力系统稳定性分析的并网光伏电站的动态数学模型。该模型用微分和代数方程组来描述,便于与表征电力系统动态行为的微分和代数方程组联立求解系统稳定性等动态问题。其次,提出了并网光伏电站在最大功率跟踪(maximum power point tracking,MPPT)控制方式和定功率控制(constant power control,CPC)方式下的系统稳定性判据,该判据仅由光伏阵列出口测量的电压和功率数据即可充分判断光伏电站系统的稳定性,为实施稳定性检测和控制提供了理论依据。最后以济南市某1.6 MW并网光伏电站为算例,验证了所建光伏电站动态模型和所提出的稳定性判据的正确性和可行性。展开更多
近年来,水电机组占比较大的电网多次发生振荡频率低于0.1Hz的超低频振荡事件,严重影响了系统的安全稳定运行。为明晰超低频振荡发生场景,首先,建立单机无穷大系统和单机带负荷系统模型,分别推导了两系统在考虑与不考虑励磁和电力系统稳...近年来,水电机组占比较大的电网多次发生振荡频率低于0.1Hz的超低频振荡事件,严重影响了系统的安全稳定运行。为明晰超低频振荡发生场景,首先,建立单机无穷大系统和单机带负荷系统模型,分别推导了两系统在考虑与不考虑励磁和电力系统稳定器(power system stabilizer,PSS)时的线性化状态空间模型,求解出不同的振荡模式。然后,基于振荡幅值计算,提出用振荡能量级理论来评估系统主导振荡模式的方法,解释了受端为非无穷大系统时更容易产生超低频振荡的原因。其次,根据建立的单机带负荷系统状态空间模型,从机理上分析了励磁调节和PSS对系统超低频振荡的影响并确定了影响超低频振荡的因素,得出适当增加调速器比例与积分环节增益比值可以有效抑制超低频振荡。最后仿真验证了调速器、励磁系统和PSS对超低频振荡的影响,同时在单机无穷大系统中验证所提评估主导振荡模式方法的正确性。展开更多
文摘This article focuses on the study of stability of motion of the phase systems described by differential equations whose right-hand sides are periodic in the angular coordinate. The article deals with the mathematical model which has been investigated for stability ＂in the large＂ using the second Lyapunov method. Based on the theoretical results obtained in the work,the computational experiments on concrete examples of electric power systems, which showedthe sufficient efficacy of the proposed method for the studied phase system, were conducted.
文摘Mathematical modelling for power DC/DC converters is a historical problem accompanying DC/DC conversion technology since 1940’s. The traditional mathematical modelling is not available for complex structure converters since the differential equation order increases very high. We have to search other way to establish mathematical modelling for power DC/DC converters.We have theoretically defined a new concept-Energy Factor （EF） in this paper and researched the relations between EF and the mathematical modelling for power DC/DC converters. EF is a new concept in power DC/DC conversion technology, which thoroughly differs from the traditional concepts such as power factor （PF）, power transfer efficiency （η）, total harmonic distortion （THD） and ripple factor （RF）. EF and the subsequential EFV (and EFVD) can illustrate the system stability, reference response and interference recovery. This investigation is very helpful for system design and DC/DC converters characteristics foreseeing. Two DC/DC converters: Buck converter and Super-Lift Luo-Converter as the samples are analysed in this paper to demonstrate the applications of EF, EFV (and EFVD), PE, SE, VE （and VED）, time constant τ and damping time constant τd.
基金supported by the National Natural Science Foundation of China(52077189)Natural Science Foundation of Hunan Province(2020JJ4577).
文摘With the increase in the proportion of multiple renewable energy sources, power electronics equipment and new loads, power systems are gradually evolving towards the integration of multi-energy, multi-network and multi-subject affected by more stochastic excitation with greater intensity. There is a problem of establishing an effective stochastic dynamic model and algorithm under different stochastic excitation intensities. A Milstein-Euler predictor-corrector method for a nonlinear and linearized stochastic dynamic model of a power system is constructed to numerically discretize the models. The optimal threshold model of stochastic excitation intensity for linearizing the nonlinear stochastic dynamic model is proposed to obtain the corresponding linearization threshold condition. The simulation results of one-machine infinite-bus (OMIB) systems show the correctness and rationality of the predictor-corrector method and the linearization threshold condition for the power system stochastic dynamic model. This study provides a reference for stochastic modelling and efficient simulation of power systems with multiple stochastic excitations and has important application value for stability judgment and security evaluation.
文摘研究了并网光伏电站动态数学建模与稳定性问题。首先,在考虑电站不同功率控制方式(比如最大功率跟踪控制、定功率控制等)的基础上,建立了可用于电力系统稳定性分析的并网光伏电站的动态数学模型。该模型用微分和代数方程组来描述,便于与表征电力系统动态行为的微分和代数方程组联立求解系统稳定性等动态问题。其次,提出了并网光伏电站在最大功率跟踪(maximum power point tracking,MPPT)控制方式和定功率控制(constant power control,CPC)方式下的系统稳定性判据,该判据仅由光伏阵列出口测量的电压和功率数据即可充分判断光伏电站系统的稳定性,为实施稳定性检测和控制提供了理论依据。最后以济南市某1.6 MW并网光伏电站为算例,验证了所建光伏电站动态模型和所提出的稳定性判据的正确性和可行性。
文摘近年来,水电机组占比较大的电网多次发生振荡频率低于0.1Hz的超低频振荡事件,严重影响了系统的安全稳定运行。为明晰超低频振荡发生场景,首先,建立单机无穷大系统和单机带负荷系统模型,分别推导了两系统在考虑与不考虑励磁和电力系统稳定器(power system stabilizer,PSS)时的线性化状态空间模型,求解出不同的振荡模式。然后,基于振荡幅值计算,提出用振荡能量级理论来评估系统主导振荡模式的方法,解释了受端为非无穷大系统时更容易产生超低频振荡的原因。其次,根据建立的单机带负荷系统状态空间模型,从机理上分析了励磁调节和PSS对系统超低频振荡的影响并确定了影响超低频振荡的因素,得出适当增加调速器比例与积分环节增益比值可以有效抑制超低频振荡。最后仿真验证了调速器、励磁系统和PSS对超低频振荡的影响,同时在单机无穷大系统中验证所提评估主导振荡模式方法的正确性。
