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43 results about "Nyquist stability criterion" patented technology

In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker [de] at Siemens in 1930 and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, is a graphical technique for determining the stability of a dynamical system. Because it only looks at the Nyquist plot of the open loop systems, it can be applied without explicitly computing the poles and zeros of either the closed-loop or open-loop system (although the number of each type of right-half-plane singularities must be known). As a result, it can be applied to systems defined by non-rational functions, such as systems with delays. In contrast to Bode plots, it can handle transfer functions with right half-plane singularities. In addition, there is a natural generalization to more complex systems with multiple inputs and multiple outputs, such as control systems for airplanes.

Stability analysis method for grid-connected inverter system under coexistence condition of multiple frequency coupling factors

The invention discloses a stability analysis method for a grid-connected inverter system under the coexistence condition of multiple frequency coupling factors. The method is applied to a grid-connected inverter system, wherein the situation that multiple frequency coupling factors coexist is considered. A frequency coupling characteristic analysis model of a grid-connected inverter is establishedin a phase sequence coordinate system, and a power grid impedance matrix is obtained through calculation under the condition that the frequency coupling is considered. The method is realized based onthe generalized Nyquist stability criterion, and the stability of the grid-connected inverter system is judged by utilizing the generalized impedance ratio matrix of the grid impedance matrix and thefrequency coupling characteristic matrix of the grid-connected inverter. Therefore, the method can be used for analyzing the system stability under the complex condition of the coexistence of multi-frequency coupling factors. Compared with an existing stability analysis method based on the impedance of the grid-connected inverter, the method is more complete. Therefore, analysis errors caused byignoring frequency coupling are avoided. The stability of the grid-connected inverter system under the complex condition can be analyzed more accurately.
Owner:ZHEJIANG UNIV +1

Quantitative analysis method for subsynchronous oscillation stability of wind turbine generator grid-connected system

The invention provides a quantitative analysis method for the subsynchronous oscillation stability of a wind turbine generator grid-connected system. The quantitative analysis method comprises the following steps: adding positive and negative sequence voltage disturbance signals to a wind turbine generator grid-connected point; establishing transfer functions of a wind turbine generator phase-locked loop, a current adjusting link and a PWM modulation link; obtaining positive and negative sequence impedance models Zp (s) and Zn (s) of a wind turbine generator, an equivalent impedance model Zg (s) of a power grid and a total impedance model Z (s) of a grid-connected system; determining proper fitting fractal polynomial orders m and n, and fitting the total impedance model Z (s) of the grid-connected system by using the fitting fractal polynomial orders m and n; solving a zero point of the fitting fractal polynomial in a fitting interval according to a fitting result, and determining theoscillation frequency and the damping level of the system according to the solved zero point. According to the invention, the method provided by the invention is provided based on the sequential impedance model in a static coordinate system. The method solves the problem that the traditional Nyquist stability criterion based on a sequential impedance model cannot quantitatively obtain the oscillation frequency and the damping level of the system in the prior art. The problem that the quantitative analysis method based on an aggregation RLC circuit model is narrow in application range is also solved.
Owner:NORTH CHINA ELECTRIC POWER UNIV (BAODING)

LCL filter parameter design method of grid-connected inverter for improving adaptability of weak grid

The invention discloses an LCL filter parameter design method of a grid-connected inverter for improving adaptability of a weak grid. The method comprises the following steps of firstly, calculating delay time of the grid-connected inverter, obtaining an open-loop transfer function according to a current control loop, obtaining system resonant frequency stability domains based on stability margin according to a generalized Nyquist stability criterion to be used as a selection basis of an LCL resonant frequency and a resonant frequency of a bridge arm side inductor and a filter capacitor, and limiting the two resonant frequencies within one of the stability domains, so that the system resonant frequency is enabled not to deviate from the stability domain when the impedance of the weak grid changes in a large range, and the system stability is improved; secondly, solving an inductance value of a bridge arm side according to maximum ripple requirement of the current of the bridge arm side inductor; and finally, solving the filter capacitance and the grid side inductance according to the two resonance frequencies. By the method, a parameter design method under different current control rings and different delay sizes is considered, a complicated and repeated trial and error step is omitted, and the calculation method is simple and intuitive.
Owner:合肥庐阳科技创新集团有限公司

Impedance modeling and stability analysis method for voltage-control virtual synchronous generator

The invention discloses an impedance modeling and stability analysis method for a voltage-control virtual synchronous generator. The influence of a virtual synchronous generator active controller is considered in order to provide a voltage-control virtual synchronous generator broadband small-signal modeling method based on a sequence impedance model, overcoming the difficulties in voltage-controlvirtual synchronous generator small-signal impedance modeling. On the basis of an established broadband small-signal sequence impedance model, a grid impedance model and Nyquist stability criterion,the influences of grid impedance and the number of voltage-control virtual synchronous generator grid-connected units upon system stability are analyzed. The results show that in any case of high gridimpedance and the large number of the virtual synchronous generator grid-connected units, a virtual synchronous generator grid-connected system can stably run. The models and method are provided forthe small disturbance stability analysis in the scenes, such as voltage-control virtual synchronous generators connected to a grid, and new energy stations; the popularization and application of the voltage-control virtual synchronous generators are benefited.
Owner:HUNAN UNIV

Stability analysis method of rotor-side converter of doubly-fed fan based on speed control

The invention discloses a stability analysis method of a rotor-side converter of a double-fed fan based on rotational speed control, Firstly, the circuit model of the rotor-side converter of the double-fed fan under the dq axis is established, then the current inner loop control and the speed control model are established according to the control block diagram, and the mathematical model of the coordinate transformation influence is established according to the relationship between the circuit and the control. Then the closed-loop output impedance and the back-ratio matrix of the rotor-side converter are derived. The influence of various parameters including wind speed on the stability of the doubly-fed fan converter is judged by the generalized Nyquist stability criterion. A method for analyze stability features that that connection mode of stator and rotor in doubly-fed fan and the influence of wind speed in the conversion of electric energy to mechanical energy are taken into account, Accurate impedance model is established and the influence of each parameter on system stability is analyzed. Harmonic instability and other harmful phenomena harming the power system can be avoidedby adjusting the parameters.
Owner:SOUTHWEST JIAOTONG UNIV

Stability criterion method suitable for multi-voltage-grade direct-current power distribution system

The invention discloses a stability criterion method suitable for a multi-voltage-grade direct-current power distribution system. The impedance criterion method comprises the following steps: firstly,according to the definitions of a control bus voltage type converter and a control bus current type converter, a unified expression form of the multi-voltage-grade direct-current power distribution system is obtained; secondly, small-signal modeling is performed on each converter, output voltage and output current control modes are adopted for a direct-current transformer, and a two-port small-signal model of the multi-voltage-level direct-current power distribution system in the unified form is built; thirdly, a transfer function from input variables to output variables of the system and anequivalent loop gain expression of the system are derived; and finally, the stability of the system is judged through whether the equivalent loop gain of the system meets a Nyquist stability criterionor not, and if the equivalent loop gain meets the Nyquist stability criterion, the system is stable, otherwise, the system is not stable. The impedance ratio criterion of an existing direct-current power distribution system is popularized to the multi-voltage-grade direct-current power distribution system, so that the application range is wider.
Owner:SOUTHEAST UNIV

Harmonic instability evaluation method for DC transmitting and receiving end weak systems

A harmonic instability evaluation method for DC transmitting and receiving end weak systems comprises the steps: at first, the current of the AC side of a converter and the positive sequence second harmonic current generated by the DC bias magnetic field are calculated, then the sum of the positive sequence second harmonic current generated by DC bias and the second harmonic current generated by converter modulation is calculated, then the second harmonic impedance from the converter transformer valve side to the AC system is calculated, and then the harmonic voltage at the outlet of the sending-end converter station in the port impedance network is calculated. Finally, the harmonic instability of the system is judged according to the phase angle difference between the AC and DC harmonic impedance equivalents. A method for judging the harmonic instability of a DC transmiting and a receiving end weak system based on a Nyquist stability criterion and the DC bias magnetic action of a converter transformer and considering the equivalent harmonic impedance of an AC system and a DC system, wherein the considered factors are comparatively identical with the conditions in actual application, so that more accurate analysis results can be obtained.
Owner:ELECTRIC POWER RESEARCH INSTITUTE, CHINA SOUTHERN POWER GRID CO LTD +2

Additional damping control doubly-fed fan grid-connected sub-super-synchronous oscillation suppression method

The invention discloses an additional damping control doubly-fed fan grid-connected sub-super-synchronous oscillation suppression method. For the sub-super-synchronous oscillation phenomenon caused bygrid connection of a doubly-fed fan through a series compensation power transmission line, a second-order low-resistance filter is added to a doubly-fed fan rotor side converter control link to suppress the generation of the sub-super-synchronous oscillation phenomenon. The method comprises the following steps: firstly, establishing a mathematical impedance model under a dq coordinate system of the doubly-fed fan with additional damping control and an impedance model under a dq coordinate system of an equivalent power grid; and drawing a Nyquist curve graph of the system according to the doubly-fed fan and the impedance model under the dq coordinate system of the power grid, and enabling the Nyquist curve to meet a generalized Nyquist stability criterion by adjusting the damping coefficient of the second-order damper, thereby enabling the system to be stable. According to the invention, the second-order low-resistance filter is added to the control link of the rotor side converter ofthe doubly-fed fan, so that the sub-super-synchronous oscillation of the fan can be effectively suppressed.
Owner:SOUTHWEST JIAOTONG UNIV

Doubly-fed fan grid-connected system oscillation analysis method based on Nyquist stability criterion

PendingCN111009921ATime-varying adaptationSolve the "curse of dimensionality" problem that is difficult to calculateSingle network parallel feeding arrangementsNyquist stability criterionMulti machine
The invention belongs to the technical field of wind power generation, and particularly relates to a doubly-fed fan grid-connected system oscillation analysis method based on a Nyquist stability criterion. The method comprises the following steps: establishing a multi-machine grid-connected structure, enabling each DFIG to be equivalent to a current source, and establishing a multi-machine grid-connected system impedance network model; listing and writing a system voltage equation and a current equation according to the multi-machine grid-connected system impedance network model; converting the equation into a frequency domain equation to obtain a system open-loop transfer function; and carrying out oscillation analysis on the open-loop transfer function by utilizing the Nyquist stabilitycriterion to obtain a result. The method for analyzing an oscillation mechanism by utilizing the frequency domain Nyquist stability criterion comprises the following steps: determining a resonant frequency according to an intersection point of a semi-closed curve of the open-loop transfer function and a unit circle; judging a wind turbine generator acting on resonance according to a distance between the intersection point and a point (-1, j0); and determining a phase angle margin of resonance.
Owner:NORTH CHINA ELECTRIC POWER UNIV (BAODING)

Stability analysis method and device for direct-driven wind power plant grid-connected system

The invention discloses a stability analysis method and device for a direct-driven wind power plant grid-connected system, and relates to the technical field of stability analysis of a power system. The method comprises the following steps: acquiring a state equation and an algebraic equation of a grid-connected system, and carrying out simultaneous merging by taking grid-side voltage as a carrier; representing a phase-locked loop and a network side control link in the form of equivalent impedance and an equivalent voltage source to obtain an equivalent circuit and equivalent impedance of the direct-driven wind power plant; combining the equivalent impedance to obtain a stability margin expression of the grid-connected system; obtaining the normalized sensitivity of different parameters in the grid-connected system to the stability margin of the system according to the stability margin expression; and quantifying the influence degree of different parameters on the normalized sensitivity of the system stability margin, and screening out dominant influence factors. According to the method, the analytical expression of the equivalent impedance of the direct-driven fan is constructed, and the Nyquist stability criterion is adopted, so that the stability margin of the grid-connected system of the direct-driven wind power plant can be deduced, and the influence degree of different parameters on the stability of the system can be quantified.
Owner:GUANGDONG POWER GRID CO LTD +1

Design method of PID controllers for stabilizing single-input single-output multiple-time-lag system

A design method of PID controllers for stabilizing a single-input single-output multiple-time-lag system comprises the following steps: firstly, an industrial control system is used for identifying a papermaking production process with low-concentration paper pulp delivered into a headbox serving as input and the thickness of manufactured finished product paper serving as output, so that a multiple-time-lag model of a controlled system is provided; secondly, a unit feedback control mechanism is adopted, a stabilization set of all the PID controllers which can guarantee stability of a closed-loop system is calculated in combination with a modified Nyquist stability criterion and a generalized Hermite theorem on the basis of model parameters of a controlled target, a frequency upper bound omega* which is large enough is selected first, the largest permitted stability range of a proportional gain kp is calculated, then, the largest permitted stability range of the proportional gain kp is traversed, a stability range of (kd, ki) is provided for each transversal point kp according to necessary and sufficient conditions for stabilizing the multiple-time-lag system, and therefore a stable set of (kp, ki, kd) is obtained. According to the design method of the PID controllers for stabilizing the single-input single-output multiple-time-lag system, the controller target can keep running in a stable state as long as control parameters are selected from the obtained stable set of the PID controllers and a PID control program is executed, and stable control over the system is realized.
Owner:ZHEJIANG UNIV OF TECH

Stability Analysis Method of Grid-connected Inverter under Coexistence of Multi-frequency Coupling Factors

The invention discloses a stability analysis method for a grid-connected inverter system under the coexistence condition of multiple frequency coupling factors. The method is applied to a grid-connected inverter system, wherein the situation that multiple frequency coupling factors coexist is considered. A frequency coupling characteristic analysis model of a grid-connected inverter is establishedin a phase sequence coordinate system, and a power grid impedance matrix is obtained through calculation under the condition that the frequency coupling is considered. The method is realized based onthe generalized Nyquist stability criterion, and the stability of the grid-connected inverter system is judged by utilizing the generalized impedance ratio matrix of the grid impedance matrix and thefrequency coupling characteristic matrix of the grid-connected inverter. Therefore, the method can be used for analyzing the system stability under the complex condition of the coexistence of multi-frequency coupling factors. Compared with an existing stability analysis method based on the impedance of the grid-connected inverter, the method is more complete. Therefore, analysis errors caused byignoring frequency coupling are avoided. The stability of the grid-connected inverter system under the complex condition can be analyzed more accurately.
Owner:ZHEJIANG UNIV +1

A Method for Suppressing Supersynchronous Oscillation of Doubly-fed Fan Grid-connected with Additional Damping Control

The invention discloses a method for suppressing sub-supersynchronous oscillation of doubly-fed fan grid-connected with additional damping control. Aiming at the sub-supersynchronous oscillation phenomenon caused by doubly-fed fan connected to the grid through series-compensated transmission lines, the converter on the rotor side of doubly-fed fan is controlled A second-order low-cut filter is added to the link to suppress its generation. First establish the mathematical impedance model of the double-fed fan with additional damping control in the dq coordinate system, and the impedance model in the dq coordinate system of the equivalent grid; then draw the Nyquis of the system according to the impedance model in the double-fed fan and the grid dq coordinate system By adjusting the damping coefficient of the second-order damper, the Nyquist curve satisfies the generalized Nyquist stability criterion, so that the system is stable. The invention can effectively suppress the sub-supersynchronous oscillation of the fan by adding a second-order low-resistance filter to the control link of the converter on the rotor side of the double-fed fan.
Owner:SOUTHWEST JIAOTONG UNIV

Quantitative Analysis Method for Subsynchronous Oscillation Stability of Wind Turbine Grid-connected System

The present invention proposes a quantitative analysis method for subsynchronous oscillation stability of a wind turbine grid-connected system, including the following steps: adding positive and negative sequence voltage disturbance signals to the wind turbine grid-connected point; establishing a wind turbine phase-locked loop, a current regulation link and PWM modulation Link transfer function; get wind turbine positive and negative sequence impedance model Z p (s), Z n (s), grid equivalent impedance model Z g (s) and the grid-connected system total impedance model Z(s); determine the appropriate fitting fractional polynomial order m, n, and use it to fit the grid-connected system total impedance model Z(s); according to the fitting result Calculate the zero point of the fitting fractional polynomial within the fitting interval, and determine the system oscillation frequency and damping level according to the calculated zero point. The method of the present invention is based on the sequence impedance model in the static coordinate system, which solves the defect that the traditional Nyquist stability criterion based on the sequence impedance model cannot be quantified to obtain the system oscillation frequency and damping level, and the quantitative analysis method based on the aggregation RLC circuit model problems with a narrow scope of application.
Owner:NORTH CHINA ELECTRIC POWER UNIV (BAODING)

Impedance Modeling and Stability Analysis Method of Voltage Controlled Virtual Synchronous Generator

The invention discloses an impedance modeling and stability analysis method for a voltage-control virtual synchronous generator. The influence of a virtual synchronous generator active controller is considered in order to provide a voltage-control virtual synchronous generator broadband small-signal modeling method based on a sequence impedance model, overcoming the difficulties in voltage-controlvirtual synchronous generator small-signal impedance modeling. On the basis of an established broadband small-signal sequence impedance model, a grid impedance model and Nyquist stability criterion,the influences of grid impedance and the number of voltage-control virtual synchronous generator grid-connected units upon system stability are analyzed. The results show that in any case of high gridimpedance and the large number of the virtual synchronous generator grid-connected units, a virtual synchronous generator grid-connected system can stably run. The models and method are provided forthe small disturbance stability analysis in the scenes, such as voltage-control virtual synchronous generators connected to a grid, and new energy stations; the popularization and application of the voltage-control virtual synchronous generators are benefited.
Owner:HUNAN UNIV

A Stability Criterion Method Applicable to Multi-voltage Level DC Distribution System

The invention discloses a stability criterion method suitable for multi-voltage level DC power distribution systems. The impedance criterion includes: firstly, according to the definition of the control bus voltage type converter and the control bus current type converter, the multi-voltage level is obtained The unified expression form of the DC power distribution system; secondly, small-signal modeling is carried out for each converter, and two ports of the DC power distribution system with a unified form and multi-voltage levels are established for the two cases where the DC transformer adopts output voltage and output current control methods respectively. Small-signal model; then, deduce the transfer function from each input variable to each output variable of the system and the equivalent loop gain expression of the system; finally, judge the stability of the system by whether the equivalent loop gain of the system satisfies the Nyquist stability criterion, If the equivalent loop gain satisfies the Nyquist stability criterion, the system is stable; otherwise, the system is unstable. The invention extends the impedance ratio criterion of the existing DC power distribution system to the multi-voltage level DC power distribution system, and has a wider application range.
Owner:SOUTHEAST UNIV

Method for improving stability of energy storage inverter grid-connected system based on current mode control

The invention discloses a method for improving the stability of an energy storage inverter grid-connected system based on current type control. The method comprises the following steps: analyzing the influence of energy storage inverter control parameters on the stability of the grid-connected system by adopting a Nyquist stability criterion of a cascade system based on a pre-constructed energy storage inverter output impedance model; determining and modifying energy storage inverter control parameters for improving the stability of the grid-connected system according to the influence of the energy storage inverter control parameters; judging whether the stability of the grid-connected system is effectively improved after the control parameters of the energy storage inverter are modified, and if not, outputting an impedance model based on the pre-constructed active damping control energy storage inverter; an energy storage inverter output impedance model based on active damping control analyzes the influence of active damping control parameters on the stability of a grid-connected system by adopting a Nyquist stability criterion of a cascade system; the active damping control parameters for improving the stability of the grid-connected system are determined and modified according to the influence of the active damping control parameters, and the stability of the grid-connected system can be effectively improved.
Owner:JIANGSU ELECTRIC POWER CO +1
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