WO2017211060A1 - High-precision phase locking method for intelligent integrated low-pressure reactive power module - Google Patents

High-precision phase locking method for intelligent integrated low-pressure reactive power module Download PDF

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WO2017211060A1
WO2017211060A1 PCT/CN2016/109927 CN2016109927W WO2017211060A1 WO 2017211060 A1 WO2017211060 A1 WO 2017211060A1 CN 2016109927 W CN2016109927 W CN 2016109927W WO 2017211060 A1 WO2017211060 A1 WO 2017211060A1
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link
phase
integral
output
frequency
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PCT/CN2016/109927
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French (fr)
Chinese (zh)
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夏武
王新明
王宗臣
冯国伟
杨建�
夏文
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江苏现代电力科技股份有限公司
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05FSYSTEMS FOR REGULATING ELECTRIC OR MAGNETIC VARIABLES
    • G05F1/00Automatic systems in which deviations of an electric quantity from one or more predetermined values are detected at the output of the system and fed back to a device within the system to restore the detected quantity to its predetermined value or values, i.e. retroactive systems
    • G05F1/10Regulating voltage or current
    • G05F1/46Regulating voltage or current wherein the variable actually regulated by the final control device is dc
    • G05F1/56Regulating voltage or current wherein the variable actually regulated by the final control device is dc using semiconductor devices in series with the load as final control devices
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05FSYSTEMS FOR REGULATING ELECTRIC OR MAGNETIC VARIABLES
    • G05F1/00Automatic systems in which deviations of an electric quantity from one or more predetermined values are detected at the output of the system and fed back to a device within the system to restore the detected quantity to its predetermined value or values, i.e. retroactive systems
    • G05F1/10Regulating voltage or current
    • G05F1/46Regulating voltage or current wherein the variable actually regulated by the final control device is dc
    • G05F1/56Regulating voltage or current wherein the variable actually regulated by the final control device is dc using semiconductor devices in series with the load as final control devices
    • G05F1/561Voltage to current converters
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/18Arrangements for adjusting, eliminating or compensating reactive power in networks
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation

Definitions

  • the invention relates to a phase locking method, in particular to an intelligent integrated low voltage reactive module high precision phase locking method.
  • the common phase-locking technologies are divided into the following types.
  • One is through the hardware-based zero-crossing comparison technique, using the zero-crossing comparison method, the grid voltage signal is used to isolate the analog signal, and the isolated voltage signal is filtered through low-pass filtering. Except for higher harmonic voltage components. This method may cause multiple levels of jitter in the vicinity of the voltage zero point in the case of severe harmonic distortion of the grid voltage, which will invalidate the synchronization.
  • the second method the fundamental wave Fourier transform calculates the phase method, which can only be used in the case of fixed frequency, and the calculation amount is large.
  • phase-locking technology based on dq algorithm
  • this method can be divided into three-phase and single-phase phase-locked, three-phase phase lock is only suitable for voltage balance and voltage distortion is not serious, sensitive to grid voltage, phase-locked error Big; single phase needs to be born
  • It is a quadrature signal, one adopts the hysteresis 90° mode, and the other adopts the generalized integration method.
  • the former cannot achieve the accurate lag of 90° due to the fluctuation of the grid frequency, and the frequency tracking is inaccurate, resulting in phase-locked failure.
  • Sensitive, due to frequency fluctuations and harmonics, the quadrature signal obtained by the generalized integration method will contain harmonic components, resulting in phase-locked distortion.
  • the traditional loop filter is composed directly of the PI regulator. This loop filter has poor steady-state accuracy and cannot completely eliminate the influence of harmonics and frequency changes on the output precision of the phase-locked loop. Because of the traditional phase-locked loop PI regulator If the adjustment coefficient is too large, the phase locking speed is fast, but the output fluctuation is large, and the result is not accurate. If the selection is small, although the fluctuation will reduce the fluctuation, the phase locking speed is greatly reduced.
  • the technical problem to be solved by the invention is to provide an intelligent integrated low-voltage reactive module high-precision phase-locking method, which has simple program realization, fast calculation speed, fast tracking speed and improved synchronization precision of the phase-locked loop.
  • the technical solution adopted by the present invention is:
  • a high-precision phase-locking method for intelligent integrated low-voltage reactive module which comprises: multi-phase phase-detecting link, variable frequency cycle integral link, variable parameter integral separation and shifting PI adjustment link, angular frequency integral link, frequency estimation link, and remainder , sine and cosine;
  • the multi-phase phase-detection link is used as the phase detector of the phase-locking technology.
  • the input signal is the cosine of the digital voltage of the grid and the phase of the phase-locked output after the analog-to-digital conversion.
  • the variable frequency period integral link and the variable parameter integral separation speed PI adjustment link are improved.
  • the loop filter, the input signal of the variable frequency period integral link is the output of the multiplication phase detection link and the output of the frequency estimation link.
  • the output of the frequency cycle integral link is sent to the variable parameter integral separation speed shift PI adjustment link; the output of the variable parameter integral separation speed shift PI adjustment link is respectively sent into the angular frequency integral link and the frequency estimation link to calculate the phase and frequency of the grid voltage; the angular frequency The cosine value of the output of the integral link is fed back to the phase detector for closed loop control;
  • the frequency estimation link is composed of a frequency change rate limiter and a low-pass filter.
  • the input of the frequency change rate limiter is the output of the integral-separated variable-speed PI adjustment link, and the frequency and the angular frequency are converted to have a fluctuating frequency, and are sent to Low-pass filter;
  • the output of the low-pass filter is an estimated value of the grid frequency, and is sent back to the variable frequency period integral link for closed-loop control;
  • the input signal of the remainder is the output of the angular frequency integral link.
  • the synchronous phase angle of the grid is output, and the phase angle is ensured to be between [0, 2 ⁇ ], so as to avoid the numerical overflow error caused by the integral operation;
  • the sinusoidal input signal is The grid synchronous phase angle of the output is output, and the fundamental frequency synchronization value of the output grid is output;
  • the input signal of the cosine is the synchronous phase angle of the grid of the surplus output, and the standard value of the fundamental wave lag of 90° is output as the indirect feedback amount of the phase. , to achieve phase closed loop control.
  • variable frequency period integral link is composed of a periodic sliding window integral link and an integral error correction link.
  • the cycle sliding window integral link determines the value of the sliding window according to the feedback grid frequency, calculates the integral sliding window integral amount, and multiplies the integral amount by the feedback frequency to obtain an integer partial variable frequency period. Integral link output R 1 ,
  • Fre is the grid feedback frequency
  • N cur represents the latest sampling data point
  • N int is a periodic sampling integer point
  • U i is the output of the i-th moment of the phase-detection link.
  • the integral error correction link determines the integer point of one cycle and the number of error points due to rounding according to the grid frequency returned by the feedback, and the sampling time interval, and then estimates the error moment according to the error point number and the integral definition.
  • the phase-detected output value is then estimated based on the above estimated value, and the integral error of the current moment caused by the error point is estimated.
  • the integral error of the current time is multiplied by the feedback frequency to obtain the integral error correction link output R 2 .
  • the error time phase detection output value estimation uses three-point quasi-linear interpolation principle for interpolation estimation, and the arbitrary phase time k is set, and the obtained phase-detection link output is U k , and the phase-detection link output obtained at the k-1 time is U k-1 , the output of the phase - detection link obtained at time k-2 is U k-2 , then the output of the phase - detection link corresponding to k + ⁇ NT s is estimated to be U k + ⁇ N , which is obtained by the three-point quasi-linear interpolation principle.
  • integral error correction link output quantity R 2 is error-corrected according to the discrete integral definition, the error time phase detector output value estimation and the frequency feedback link feedback frequency, and the specific implementation form thereof:
  • variable parameter integral separation shift PI adjustment link includes a variable parameter portion and an integral separation shift portion.
  • variable parameter portion passes the absolute value of the voltage peak in the previous period of the current time as the basis for changing k p , k i , and plays the role of removing harmonics on the phase locking accuracy.
  • Its parameters k p , k i concrete realization form: Where ⁇ is the damping coefficient, ⁇ f is the allowable tracking frequency range, and U max is the absolute value of the voltage peak in the previous period of the current time.
  • the shifting function f[e(k)] Among them, ⁇ ⁇ ⁇ , ⁇ section shift threshold ⁇ , ⁇ section shift threshold ⁇ , to ensure that the error is larger, so that the integral is slower, avoiding the system stability caused by integral, high overshoot, when the error is small, make the integral faster, make full use of The advantage of high steady-state accuracy.
  • the present invention has the following advantages and effects:
  • variable frequency period integral error correction link which solves the cumulative error between the sampling points and the influence of the truncation error on the phase-locked loop in the numerical analysis, and improves the synchronization precision of the phase-locked loop;
  • the improved PI regulator adopts the variable parameter integral separation variable speed PI regulator for adjustment, which can ensure the phase locking accuracy and eliminate the static difference under the premise of fast phase locking;
  • the improved loop filter can eliminate the influence of harmonics and frequency changes on the output precision of the phase-locked loop in steady state
  • This phase-locked loop is fully software-implemented and has strong anti-interference ability.
  • FIG. 1 is a frame diagram of a high precision phase locking method for an intelligent integrated low voltage reactive module of the present invention.
  • variable frequency cycle integration link of the present invention.
  • Figure 3 is a schematic diagram of the integral sliding window integration link of the present invention.
  • phase-detection link output U k+ ⁇ N corresponding to the time point of estimating the k+ ⁇ NT s at the three-point quasi-linear interpolation principle of the present invention.
  • Figure 5 is a schematic diagram of the integral error correction link of the present invention.
  • Figure 6 is a schematic diagram of the third-order integral of the angular frequency integral link of the present invention.
  • Figure 7 is a schematic diagram of the frequency estimation link of the present invention.
  • Figure 8 is a diagram showing the grid voltage waveform of the present invention.
  • FIG. 9 is a comparison diagram of the actual grid voltage fundamental value and the phase-locked tracking value of the present invention.
  • Figure 10 is a diagram of the grid voltage frequency response of the present invention.
  • the intelligent integrated low-voltage reactive module high-precision phase-locking method of the invention comprises a multi-phase phase-detecting link, a variable frequency cycle integral link, a variable-parameter integral-separating variable-speed PI adjustment link 3, and an angular frequency integral link. 4.
  • Frequency estimation link 5 remainder 6, sine 7 and cosine 8.
  • the multi-phase phase-detection link is used as the phase detector of the phase-locking technology.
  • the input signal is the cosine of the digital voltage of the grid and the phase of the phase-locked output after the analog-to-digital conversion.
  • the variable frequency period integral link and the variable parameter integral separation speed PI adjustment link are improved.
  • the loop filter the input signal of the variable frequency period integral link is the output of the multiplication phase detection link and the output of the frequency estimation link, and the output of the variable frequency period integral link is sent to the variable parameter integral separation shift PI adjustment link; the variable parameter integral separation shifting The output of the PI regulation link is sent to the angular frequency integral link and the frequency estimation link to calculate the phase and frequency of the grid voltage; the cosine of the output of the angular frequency integral link is fed back to the phase detector for closed-loop control.
  • the multiplication phase-detection link converts the modulus of the grid and the phase-locked output angle
  • the chord value is multiplied to obtain the phase-detection value U of the fluctuation of the power grid, and is sent to the variable frequency cycle integral link.
  • the frequency estimation link is composed of a frequency change rate limiter and a low-pass filter.
  • the input of the frequency change rate limiter is the output of the integral-separated variable-speed PI adjustment link, and the frequency and the angular frequency are converted to have a fluctuating frequency, and are sent to The low-pass filter; the output of the low-pass filter is an estimate of the grid frequency and is sent back to the variable frequency period integral link for closed-loop control.
  • the input signal of the remainder is the output of the angular frequency integral link.
  • the synchronous phase angle of the grid is output, and the phase angle is ensured to be between [0, 2 ⁇ ], so as to avoid the numerical overflow error caused by the integral operation;
  • the sinusoidal input signal is The grid synchronous phase angle of the output is output, and the fundamental frequency synchronization value of the output grid is output;
  • the input signal of the cosine is the synchronous phase angle of the grid of the surplus output, and the standard value of the fundamental wave lag of 90° is output as the indirect feedback amount of the phase. , to achieve phase closed loop control.
  • the phase, frequency and grid synchronous sine of the grid voltage are accurately locked out.
  • the cosine value of the grid voltage signal and the phase-locked output angle are multiplied by the modulus conversion, and the phase-detection value U of the grid fluctuation is obtained, and is sent to the variable frequency period integral link.
  • the step of the variable frequency cycle integration step is further divided into two major steps, a step of the cycle sliding window integration step, and an integral error correction step.
  • the step of the integral sliding window integration step determines the value of the sliding window based on the feedback grid frequency, calculates the integral amount of the periodic sliding window, and multiplies the integral amount by the feedback frequency to obtain an integer partial variable frequency period integral link output quantity R 1
  • the embodiment is shown in Figure 3.
  • Fre is the grid feedback frequency
  • N cur represents the latest sampling data point
  • N int is a periodic sampling integer point
  • U i is the output of the i-th moment of the phase-detection link, For the accumulated value of the previous sample point, The latest phase-detection link output, Phase detection link output before a cycle.
  • the integral error correction step according to the grid frequency returned by the feedback, and the sampling time interval, the whole point of one cycle and the number of error points due to rounding are determined; and according to the error point and the integral definition, the phase-detecting output corresponding to the error moment is estimated. Then, according to the above estimated value, the integral error of the current moment caused by the error point is estimated; finally, the integral error of the current time is multiplied by the feedback frequency to obtain the integral error correction link output R 2 .
  • sampling period Ts
  • one grid period is converted into the number of sampling points with a decimal number N float , and the corresponding number of points is N int ;
  • the national standard limits the allowable fluctuation level of the grid frequency as follows: frequency class A level ⁇ ⁇ 0.05 Hz; class B ⁇ ⁇ 0.5 Hz; C level ⁇ ⁇ 1 Hz.
  • the grid frequency is a time variable. Therefore, N float is not a fixed value, and there is a fractional error between the number of points after the period is converted into the number of samples. Therefore, the discrete integral needs to take into account this part of the error.
  • the error time phase detector output value estimation link uses three-point quasi-linear interpolation principle for interpolation estimation. According to the three-point quasi-linear interpolation principle, the phase-detection link output U k+ ⁇ N corresponding to the time k + ⁇ NT s is estimated, and the arbitrary phase k is set. The obtained phase-detection link output is U k , and the phase obtained at time k-1 is obtained.
  • the output of the link is U k-1
  • the output of the phase - detection link obtained at time k-2 is U k-2
  • the output phase corresponding to the k + ⁇ NT s is output U k + ⁇ N
  • the integral error correction link output is The specific embodiment is shown in FIG.
  • variable parameter integral separation shift PI adjustment step consists of a variable parameter step and an integral separation shift step.
  • variable parameter step passes the absolute value of the voltage peak in the previous period of the current time as the basis for changing k p , k i , and plays the role of removing harmonics on the phase locking accuracy.
  • Its parameters k p , k i concrete realization form: Where ⁇ is the damping coefficient, ⁇ f is the allowable tracking frequency range, and U max is the absolute value of the voltage peak in the previous period of the current time.
  • variable parameter integral separates the output grid synchronization angular frequency ⁇ (k) of the variable speed PI regulator, the integral link output is ⁇ i , and the proportional link output is ⁇ p .
  • ⁇ p (k) k p ⁇ e(k)
  • ⁇ (k) ⁇ p (k)+f[e(k)] ⁇ k i ⁇ i (k)
  • limit output the output angular frequency so that the output angular frequency is limited to the central angular frequency of the normal power grid.
  • Near ⁇ 0 ensure that the output angular frequency is limited between [ ⁇ 0 -2 ⁇ f, ⁇ 0 +2 ⁇ f].
  • variable angle integral frequency of the variable parameter integral separation variable speed PI adjustment link is discretely integrated, and the phase angle synchronized with the power grid is obtained.
  • Discrete integrals use a third-order integration method. The specific embodiment is shown in FIG. 6.
  • variable parameter integral is separated and the limited amplitude frequency outputted by the variable speed PI adjustment link is frequency-converted, and the frequency change rate is limited after the conversion, and finally the estimated frequency of the power grid is obtained through low-pass filter filtering.
  • This estimated frequency is used as the basis for the variable frequency cycle integral link and the calculation of the number of sampling points in a grid cycle.
  • the specific implementation is shown in FIG. 7 .
  • the frequency change rate limiter functions to limit the angular frequency output overshoot of the variable parameter integral separation speed PI adjustment link output, and plays the role of improving the transient stability of the frequency estimation output.
  • the low pass filter uses a second order low pass filter with the following expression:
  • ⁇ c is the cutoff angle frequency of the low-pass filter
  • is the damping coefficient
  • the technical problem to be solved by the invention is that the existing phase-locked technology has a large static error in the phase-locked loop output under the condition of severe harmonics or frequency fluctuation, and a frequency-phase double feedback single-phase high-precision phase-locking technique is proposed.
  • Improve the loop filter of the phase-locked loop is directly composed of a PI regulator.
  • the loop filter has poor steady-state accuracy and cannot completely eliminate the influence of harmonics and frequency changes on the output precision of the phase-locked loop. Therefore, the present invention improves the conventional phase-locked phase.
  • the loop filter, the filter loop composed of the variable frequency period integral link and the variable parameter integral separation variable speed PI adjustment link, the variable frequency period integral link is composed of the cycle sliding window integral link and the integral error correction link, and the cycle
  • the sliding window integral link avoids repeated operations. There is only one addition and one subtraction operation in each cycle.
  • the program is simple to implement, the operation speed is fast, and the tracking speed is fast.
  • the variable frequency period integral error correction link is introduced to solve the accumulation between the sampling points. The influence of the truncation error on the phase-locked loop in error and numerical analysis further improves the synchronization accuracy of the phase-locked loop.
  • the present invention proposes to adopt a variable parameter integral separation variable speed PI adjustment link for adjustment, which can ensure the phase locking accuracy and eliminate the static difference under the premise of fast phase locking.
  • Improved loop filter eliminates harmonics and frequency changes in steady state for phase-locked loops The effect of the output accuracy.
  • the simulation is verified by the implementation steps of the present invention.
  • the solid line is the actual fundamental wave value of the power grid
  • the broken line is the base wave standard value of the power grid tracked by the invention. It can be seen that at 0.56 s, the fundamental voltage component of the system grid voltage is completely tracked. And adding harmonics after 0.5s does not affect the phase-locked loop. As shown in Fig.
  • the grid voltage tracking frequency overshoot is small, less than 0.03 Hz, and the tracking frequency of the grid meets the "General Requirements for Power Quality Monitoring Equipment of GB 19862-2005" at 0.66 s, and the deviation of the grid frequency is less than 0.01 Hz, and The stable value is 0.7s, the steady-state error is less than 0.001Hz, and the final steady-state error can reach 10 -5 .

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Abstract

Disclosed is a high-precision phase locking method for an intelligent integrated low-pressure reactive power module, the method comprising a multiplicative phase discrimination link (1), a variable frequency period integration link (2), a variable parameter integration separation speed change PI regulation link (3), an angular frequency integration link (4), a frequency estimation link (5), remainder (6), sine (7) and cosine (8). An improved PI regulator uses a variable parameter integration separation speed change PI regulator for regulation, so that the phase locking precision is improved and the static deviation is eliminated under the premise that the rapidity of phase locking can be ensured. An improved loop filter can eliminate the influence of harmonic wave and frequency changes on the output precision of a phase-locked loop when in a steady state.

Description

智能集成低压无功模块高精度锁相方法Intelligent integrated low voltage reactive module high precision phase locking method 技术领域Technical field
本发明涉及一种锁相方法,特别是一种智能集成低压无功模块高精度锁相方法。The invention relates to a phase locking method, in particular to an intelligent integrated low voltage reactive module high precision phase locking method.
背景技术Background technique
在低压配电领域中,无论仪器仪表还是无功补偿模块,都需要同步电网相位进行精确的计算和控制,达到补偿和优化的效果。轧钢机、中频炉等不平衡、冲击性工业用电设备日益增多,由此产生了功率因数低、电压波动和闪变以及三相电压和电流不平衡等诸多电能质量问题。因此在对这类冲击负荷进行无功补偿时,需要采用瞬时无功功率进行快速补偿,而计算瞬时无功的关键在于电网同步锁相环的计算。In the field of low-voltage power distribution, regardless of instrumentation or reactive compensation module, synchronous grid phase is required for accurate calculation and control to achieve compensation and optimization. Unbalanced and impact industrial electrical equipment such as rolling mills and intermediate frequency furnaces are increasing, resulting in many power quality problems such as low power factor, voltage fluctuation and flicker, and three-phase voltage and current imbalance. Therefore, when reactive power compensation is applied to such an impact load, instantaneous reactive power is needed for fast compensation, and the key to calculating instantaneous reactive power is the calculation of the synchronous phase-locked loop of the power grid.
目前常见的锁相技术分为以下几种,一种是通过全硬件过零比较技术,采用过零比较法,电网电压信号进行模拟信号的隔离,隔离后的电压信号,经低通滤波,滤除高次的谐波电压分量。此法对于在电网电压谐波畸变严重的场合,可能在会在电压零点附近出现多次电平跳动,将同步失效。第二种:基波傅立叶变换计算相位法,此法只能使用于频率固定的场合,并且计算量大。第三种:基于dq算法的锁相技术,此法可分为三相和单相锁相,三相锁相只适应于电压平衡并且电压畸变不严重场合,对电网电压敏感,锁相误差较大;单相需要生 成正交信号,一种采用滞后90°方式,另一种采用广义积分方式,前者由于电网频率的波动,无法实现精准滞后90°的信号,频率跟踪不精确导致锁相失效,后者对电网敏感,由于频率波动和谐波的影响,广义积分方式得到的正交信号将含有谐波分量,导致锁相失真。At present, the common phase-locking technologies are divided into the following types. One is through the hardware-based zero-crossing comparison technique, using the zero-crossing comparison method, the grid voltage signal is used to isolate the analog signal, and the isolated voltage signal is filtered through low-pass filtering. Except for higher harmonic voltage components. This method may cause multiple levels of jitter in the vicinity of the voltage zero point in the case of severe harmonic distortion of the grid voltage, which will invalidate the synchronization. The second method: the fundamental wave Fourier transform calculates the phase method, which can only be used in the case of fixed frequency, and the calculation amount is large. The third type: phase-locking technology based on dq algorithm, this method can be divided into three-phase and single-phase phase-locked, three-phase phase lock is only suitable for voltage balance and voltage distortion is not serious, sensitive to grid voltage, phase-locked error Big; single phase needs to be born It is a quadrature signal, one adopts the hysteresis 90° mode, and the other adopts the generalized integration method. The former cannot achieve the accurate lag of 90° due to the fluctuation of the grid frequency, and the frequency tracking is inaccurate, resulting in phase-locked failure. Sensitive, due to frequency fluctuations and harmonics, the quadrature signal obtained by the generalized integration method will contain harmonic components, resulting in phase-locked distortion.
传统的环路滤波器直接由PI调节器组成,这种环路滤波器稳态精度差,不能完全消除谐波以及频率变化对锁相环的输出精度的影响,由于传统锁相环PI调节器,若调节系数选取过大,锁相速度快,但是输出波动大,结果不精确,若选取较小,虽然波动会减小波动,但是锁相速度被大大降低。The traditional loop filter is composed directly of the PI regulator. This loop filter has poor steady-state accuracy and cannot completely eliminate the influence of harmonics and frequency changes on the output precision of the phase-locked loop. Because of the traditional phase-locked loop PI regulator If the adjustment coefficient is too large, the phase locking speed is fast, but the output fluctuation is large, and the result is not accurate. If the selection is small, although the fluctuation will reduce the fluctuation, the phase locking speed is greatly reduced.
发明内容Summary of the invention
本发明所要解决的技术问题是提供一种智能集成低压无功模块高精度锁相方法,程序实现简单,运算速度快,跟踪速度快,提高锁相环的同步精度。The technical problem to be solved by the invention is to provide an intelligent integrated low-voltage reactive module high-precision phase-locking method, which has simple program realization, fast calculation speed, fast tracking speed and improved synchronization precision of the phase-locked loop.
为解决上述技术问题,本发明所采用的技术方案是:In order to solve the above technical problems, the technical solution adopted by the present invention is:
一种智能集成低压无功模块高精度锁相方法,其特征在于:包括乘法鉴相环节、变频率周期积分环节、变参数积分分离变速PI调节环节、角频率积分环节、频率估计环节、取余、正弦以及余弦;A high-precision phase-locking method for intelligent integrated low-voltage reactive module, which comprises: multi-phase phase-detecting link, variable frequency cycle integral link, variable parameter integral separation and shifting PI adjustment link, angular frequency integral link, frequency estimation link, and remainder , sine and cosine;
乘法鉴相环节作为锁相技术的鉴相器,其输入信号为模数转化后电网数字电压与锁相输出相位的余弦;变频率周期积分环节和变参数积分分离变速PI调节环节组成改进后的环路滤波器,变频率周期积分环节的输入信号为乘法鉴相环节的输出和频率估计环节的输出,变 频率周期积分环节的输出送入变参数积分分离变速PI调节环节;变参数积分分离变速PI调节环节的输出分别送入角频率积分环节以及频率估计环节进行计算得到电网电压的相位和频率;角频率积分环节的输出的余弦值反馈到鉴相器进行闭环控制;The multi-phase phase-detection link is used as the phase detector of the phase-locking technology. The input signal is the cosine of the digital voltage of the grid and the phase of the phase-locked output after the analog-to-digital conversion. The variable frequency period integral link and the variable parameter integral separation speed PI adjustment link are improved. The loop filter, the input signal of the variable frequency period integral link is the output of the multiplication phase detection link and the output of the frequency estimation link. The output of the frequency cycle integral link is sent to the variable parameter integral separation speed shift PI adjustment link; the output of the variable parameter integral separation speed shift PI adjustment link is respectively sent into the angular frequency integral link and the frequency estimation link to calculate the phase and frequency of the grid voltage; the angular frequency The cosine value of the output of the integral link is fed back to the phase detector for closed loop control;
频率估计环节由频率变化率限幅器和低通滤波器组成,频率变化率限幅器的输入为积分分离变速PI调节环节的输出进行频率与角频率转换后含有波动的频率,并送入到低通滤波器;低通滤波器的输出为电网频率的估计值,并将其送回变频率周期积分环节进行闭环控制;The frequency estimation link is composed of a frequency change rate limiter and a low-pass filter. The input of the frequency change rate limiter is the output of the integral-separated variable-speed PI adjustment link, and the frequency and the angular frequency are converted to have a fluctuating frequency, and are sent to Low-pass filter; the output of the low-pass filter is an estimated value of the grid frequency, and is sent back to the variable frequency period integral link for closed-loop control;
取余的输入信号为角频率积分环节的输出,经过取余运算,输出电网同步相位角,并确保相位角在[0,2π]之间,避免积分运算导致数值溢出错误;正弦的输入信号为取余输出的电网同步相位角,输出电网基波同步标幺值;余弦的输入信号为取余输出的电网同步相位角,输出电网基波滞后90°的标幺值,作为相位的间接反馈量,实现相位闭环控制。The input signal of the remainder is the output of the angular frequency integral link. After the remainder operation, the synchronous phase angle of the grid is output, and the phase angle is ensured to be between [0, 2π], so as to avoid the numerical overflow error caused by the integral operation; the sinusoidal input signal is The grid synchronous phase angle of the output is output, and the fundamental frequency synchronization value of the output grid is output; the input signal of the cosine is the synchronous phase angle of the grid of the surplus output, and the standard value of the fundamental wave lag of 90° is output as the indirect feedback amount of the phase. , to achieve phase closed loop control.
进一步地,所述变频率周期积分环节由周期滑窗积分环节和积分误差校正环节组成。Further, the variable frequency period integral link is composed of a periodic sliding window integral link and an integral error correction link.
进一步地,所述周期滑窗积分环节根据反馈回来的电网频率,确定滑动窗的数值,计算出整数部分的周期滑窗积分量,再将该积分量与反馈频率相乘得到整数部分变频率周期积分环节输出量R1Further, the cycle sliding window integral link determines the value of the sliding window according to the feedback grid frequency, calculates the integral sliding window integral amount, and multiplies the integral amount by the feedback frequency to obtain an integer partial variable frequency period. Integral link output R 1 ,
Figure PCTCN2016109927-appb-000001
Figure PCTCN2016109927-appb-000001
其中:Fre为电网反馈频率,Ncur表示最新的采样数据点,Nint为 一个周期采样整数点数,Ui为鉴相环节第i时刻的输出,
Figure PCTCN2016109927-appb-000002
为上一个采样点的累和值,
Figure PCTCN2016109927-appb-000003
最新的鉴相环节输出,
Figure PCTCN2016109927-appb-000004
一个周期前的鉴相环节输出。
Where: Fre is the grid feedback frequency, N cur represents the latest sampling data point, N int is a periodic sampling integer point, and U i is the output of the i-th moment of the phase-detection link.
Figure PCTCN2016109927-appb-000002
For the accumulated value of the previous sample point,
Figure PCTCN2016109927-appb-000003
The latest phase-detection link output,
Figure PCTCN2016109927-appb-000004
Phase detection link output before a cycle.
进一步地,所述积分误差校正环节根据反馈回来的电网频率,以及采样时间间隔,确定一个周期的整点数以及由于取整造成的误差点数,再根据误差点数和积分定义,估计在误差时刻对应的鉴相输出值,然后根据上述的估计值,估算出误差点数所造成当前时刻的积分误差,最后将当前时刻的积分误差与反馈频率相乘得到积分误差校正环节输出量R2Further, the integral error correction link determines the integer point of one cycle and the number of error points due to rounding according to the grid frequency returned by the feedback, and the sampling time interval, and then estimates the error moment according to the error point number and the integral definition. The phase-detected output value is then estimated based on the above estimated value, and the integral error of the current moment caused by the error point is estimated. Finally, the integral error of the current time is multiplied by the feedback frequency to obtain the integral error correction link output R 2 .
进一步地,误差时刻鉴相输出值估计采用三点拟线性插值原理进行插值估计,设任意时刻k,所得到的鉴相环节输出为Uk,其k-1时刻所得到的鉴相环节输出为Uk-1,其k-2时刻所得到的鉴相环节输出为Uk-2,则估计在k+ΔNTs时刻对应的鉴相环节输出Uk+ΔN,采用三点拟线性插值原理得到Uk+ΔN为Uk+ΔN=Uk+[a×(Uk-Uk-1)+(1-a)×(Uk-1-Uk-2)]×(Nfloat-Nint),其中a取[0,1]的任意小数。Further, the error time phase detection output value estimation uses three-point quasi-linear interpolation principle for interpolation estimation, and the arbitrary phase time k is set, and the obtained phase-detection link output is U k , and the phase-detection link output obtained at the k-1 time is U k-1 , the output of the phase - detection link obtained at time k-2 is U k-2 , then the output of the phase - detection link corresponding to k + ΔNT s is estimated to be U k + ΔN , which is obtained by the three-point quasi-linear interpolation principle. U k+ΔN is U k+ΔN =U k +[a×(U k -U k-1 )+(1-a)×(U k-1 -U k-2 )]×(N float -N Int ), where a takes any decimal of [0,1].
进一步地,所述积分误差校正环节输出量R2根据离散积分定义,误差时刻鉴相器输出值估计和频率估计环节反馈的频率进行误差校正,其具体实现形式:
Figure PCTCN2016109927-appb-000005
Further, the integral error correction link output quantity R 2 is error-corrected according to the discrete integral definition, the error time phase detector output value estimation and the frequency feedback link feedback frequency, and the specific implementation form thereof:
Figure PCTCN2016109927-appb-000005
进一步地,所述变参数积分分离变速PI调节环节包含变参数部分和积分分离变速部分。Further, the variable parameter integral separation shift PI adjustment link includes a variable parameter portion and an integral separation shift portion.
进一步地,所述变参数部分通过当前时刻前一个周期内电压峰值 的绝对值,作为改变kp,ki的依据,起到去除谐波对锁相精度的影响。其参数kp,ki具体实现形式:
Figure PCTCN2016109927-appb-000006
其中ε为阻尼系数,Δf为允许跟踪频率范围,Umax为当前时刻前一个周期内电压峰值的绝对值。
Further, the variable parameter portion passes the absolute value of the voltage peak in the previous period of the current time as the basis for changing k p , k i , and plays the role of removing harmonics on the phase locking accuracy. Its parameters k p , k i concrete realization form:
Figure PCTCN2016109927-appb-000006
Where ε is the damping coefficient, Δf is the allowable tracking frequency range, and U max is the absolute value of the voltage peak in the previous period of the current time.
进一步地,所述积分分离变速部分将周期滑窗积分环节和积分误差校正环节的输出量进行叠加作为PI调节的误差输入e(k)=R1(k)+R2(k),构建积分分离变速函数f[e(k)],
Figure PCTCN2016109927-appb-000007
其中β≤α,Ι段变速阈值α,ΙΙ段变速阈值β,确保误差较大时,使得积分慢一些,避免积分造成系统稳定性差,超调高,误差较小时,使得积分快一些,充分利用积分稳态精度高的优势。
Further, the integral separation shifting portion superimposes the output of the cycle sliding window integral link and the integral error correction link as the error input e(k)=R 1 (k)+R 2 (k) of the PI adjustment, and constructs an integral. Separate the shifting function f[e(k)],
Figure PCTCN2016109927-appb-000007
Among them, β ≤ α, Ι section shift threshold α, ΙΙ section shift threshold β, to ensure that the error is larger, so that the integral is slower, avoiding the system stability caused by integral, high overshoot, when the error is small, make the integral faster, make full use of The advantage of high steady-state accuracy.
进一步地,所述变参数积分分离变速PI调节环节的输出电网同步角频率ω(k),其积分环节输出量为ωi,比例环节输出量为ωp,则有ωp(k)=kp×e(k),
Figure PCTCN2016109927-appb-000008
ω(k)=ωp(k)+f[e(k)]×ki×ωi(k),最后对输出角频率进行限幅输出,使得输出角频率限制在正常电网的中心角频率ω0附近,确保输出角频率限制在[ω0-2πΔf,ω0+2πΔf]之间。
Further, the variable parameter integral separates the output grid synchronization angular frequency ω(k) of the variable speed PI adjustment link, the integral link output is ω i , and the proportional link output is ω p , then ω p (k)=k p ×e(k),
Figure PCTCN2016109927-appb-000008
ω(k)=ω p (k)+f[e(k)]×k i ×ω i (k), and finally limit output the output angular frequency so that the output angular frequency is limited to the central angular frequency of the normal power grid. Near ω 0 , ensure that the output angular frequency is limited between [ω 0 -2πΔf, ω 0 +2πΔf].
本发明与现有技术相比,具有以下优点和效果:Compared with the prior art, the present invention has the following advantages and effects:
1、采用单相锁相技术,适用于单相、三相系统,特别是三相不平衡系统; 1, using single-phase phase-locking technology, suitable for single-phase, three-phase systems, especially three-phase unbalanced systems;
2、采用相位频率双反馈技术,可以一次编程,自适应国外60Hz电网;2, using phase frequency double feedback technology, can be programmed once, adapt to foreign 60Hz grid;
3、周期滑窗积分环节,避免重复运算,每个周期内只有一个加法和一个减法运算,程序实现简单,运算速度快;3, the cycle sliding window integral link, to avoid repeated operations, only one addition and one subtraction operation in each cycle, the program is simple to implement, the operation speed is fast;
4、引进变频率周期积分误差校正环节,解决了采样点数间的累积误差和数值分析中截断误差对锁相环的影响,提高了锁相环的同步精度;4. Introducing the variable frequency period integral error correction link, which solves the cumulative error between the sampling points and the influence of the truncation error on the phase-locked loop in the numerical analysis, and improves the synchronization precision of the phase-locked loop;
5、改进PI调节器采用变参数积分分离变速PI调节器进行调节,可以保证锁相快速性的前提下,提高锁相精度,消除静差;5. The improved PI regulator adopts the variable parameter integral separation variable speed PI regulator for adjustment, which can ensure the phase locking accuracy and eliminate the static difference under the premise of fast phase locking;
6、改进后的环路滤波器可以在稳态时消除谐波以及频率变化对锁相环的输出精度的影响;6. The improved loop filter can eliminate the influence of harmonics and frequency changes on the output precision of the phase-locked loop in steady state;
7、此锁相环全软件实现,抗干扰能力强。7. This phase-locked loop is fully software-implemented and has strong anti-interference ability.
附图说明DRAWINGS
图1是本发明的智能集成低压无功模块高精度锁相方法的框架图。1 is a frame diagram of a high precision phase locking method for an intelligent integrated low voltage reactive module of the present invention.
图2是本发明的变频率周期积分环节原理图。2 is a schematic diagram of the variable frequency cycle integration link of the present invention.
图3是本发明的周期滑窗积分环节原理图。Figure 3 is a schematic diagram of the integral sliding window integration link of the present invention.
图4是本发明的三点拟线性插值原理估计k+ΔNTs时刻对应的鉴相环节输出Uk+ΔN原理图。4 is a schematic diagram of the phase-detection link output U k+ΔN corresponding to the time point of estimating the k+ΔNT s at the three-point quasi-linear interpolation principle of the present invention.
图5是本发明的积分误差校正环节原理图。Figure 5 is a schematic diagram of the integral error correction link of the present invention.
图6是本发明的角频率积分环节三阶积分原理图。 Figure 6 is a schematic diagram of the third-order integral of the angular frequency integral link of the present invention.
图7是本发明的频率估计环节原理图。Figure 7 is a schematic diagram of the frequency estimation link of the present invention.
图8是本发明的电网电压波形图。Figure 8 is a diagram showing the grid voltage waveform of the present invention.
图9是本发明的实际电网电压基波标幺值与锁相跟踪标幺值对比图。9 is a comparison diagram of the actual grid voltage fundamental value and the phase-locked tracking value of the present invention.
图10是本发明的电网电压频率响应图。Figure 10 is a diagram of the grid voltage frequency response of the present invention.
具体实施方式detailed description
下面结合附图并通过实施例对本发明作进一步的详细说明,以下实施例是对本发明的解释而本发明并不局限于以下实施例。The present invention will be further described in detail below with reference to the accompanying drawings.
如图所示,本发明的一种智能集成低压无功模块高精度锁相方法,包括乘法鉴相环节1、变频率周期积分环节2、变参数积分分离变速PI调节环节3、角频率积分环节4、频率估计环节5、取余6、正弦7以及余弦8。As shown in the figure, the intelligent integrated low-voltage reactive module high-precision phase-locking method of the invention comprises a multi-phase phase-detecting link, a variable frequency cycle integral link, a variable-parameter integral-separating variable-speed PI adjustment link 3, and an angular frequency integral link. 4. Frequency estimation link 5, remainder 6, sine 7 and cosine 8.
乘法鉴相环节作为锁相技术的鉴相器,其输入信号为模数转化后电网数字电压与锁相输出相位的余弦;变频率周期积分环节和变参数积分分离变速PI调节环节组成改进后的环路滤波器,变频率周期积分环节的输入信号为乘法鉴相环节的输出和频率估计环节的输出,变频率周期积分环节的输出送入变参数积分分离变速PI调节环节;变参数积分分离变速PI调节环节的输出分别送入角频率积分环节以及频率估计环节进行计算得到电网电压的相位和频率;角频率积分环节的输出的余弦值反馈到鉴相器进行闭环控制。The multi-phase phase-detection link is used as the phase detector of the phase-locking technology. The input signal is the cosine of the digital voltage of the grid and the phase of the phase-locked output after the analog-to-digital conversion. The variable frequency period integral link and the variable parameter integral separation speed PI adjustment link are improved. The loop filter, the input signal of the variable frequency period integral link is the output of the multiplication phase detection link and the output of the frequency estimation link, and the output of the variable frequency period integral link is sent to the variable parameter integral separation shift PI adjustment link; the variable parameter integral separation shifting The output of the PI regulation link is sent to the angular frequency integral link and the frequency estimation link to calculate the phase and frequency of the grid voltage; the cosine of the output of the angular frequency integral link is fed back to the phase detector for closed-loop control.
乘法鉴相环节将模数转化后电网电压信号和锁相输出角度的余 弦值相乘,得到随着电网波动的鉴相值U,并送入变频率周期积分环节。The multiplication phase-detection link converts the modulus of the grid and the phase-locked output angle The chord value is multiplied to obtain the phase-detection value U of the fluctuation of the power grid, and is sent to the variable frequency cycle integral link.
频率估计环节由频率变化率限幅器和低通滤波器组成,频率变化率限幅器的输入为积分分离变速PI调节环节的输出进行频率与角频率转换后含有波动的频率,并送入到低通滤波器;低通滤波器的输出为电网频率的估计值,并将其送回变频率周期积分环节进行闭环控制。The frequency estimation link is composed of a frequency change rate limiter and a low-pass filter. The input of the frequency change rate limiter is the output of the integral-separated variable-speed PI adjustment link, and the frequency and the angular frequency are converted to have a fluctuating frequency, and are sent to The low-pass filter; the output of the low-pass filter is an estimate of the grid frequency and is sent back to the variable frequency period integral link for closed-loop control.
取余的输入信号为角频率积分环节的输出,经过取余运算,输出电网同步相位角,并确保相位角在[0,2π]之间,避免积分运算导致数值溢出错误;正弦的输入信号为取余输出的电网同步相位角,输出电网基波同步标幺值;余弦的输入信号为取余输出的电网同步相位角,输出电网基波滞后90°的标幺值,作为相位的间接反馈量,实现相位闭环控制。经过上述处理,最后精确的锁定出电网电压的相位、频率以及电网同步正弦值。The input signal of the remainder is the output of the angular frequency integral link. After the remainder operation, the synchronous phase angle of the grid is output, and the phase angle is ensured to be between [0, 2π], so as to avoid the numerical overflow error caused by the integral operation; the sinusoidal input signal is The grid synchronous phase angle of the output is output, and the fundamental frequency synchronization value of the output grid is output; the input signal of the cosine is the synchronous phase angle of the grid of the surplus output, and the standard value of the fundamental wave lag of 90° is output as the indirect feedback amount of the phase. , to achieve phase closed loop control. After the above processing, the phase, frequency and grid synchronous sine of the grid voltage are accurately locked out.
乘法鉴相环节步骤,将模数转化后电网电压信号和锁相输出角度的余弦值相乘,得到随着电网波动的鉴相值U,并送入变频率周期积分环节。In the multiplication phase-detecting step, the cosine value of the grid voltage signal and the phase-locked output angle are multiplied by the modulus conversion, and the phase-detection value U of the grid fluctuation is obtained, and is sent to the variable frequency period integral link.
变频率周期积分环节步骤又分为两大步骤,周期滑窗积分环节步骤、积分误差校正环节步骤。The step of the variable frequency cycle integration step is further divided into two major steps, a step of the cycle sliding window integration step, and an integral error correction step.
周期滑窗积分环节步骤,根据反馈回来的电网频率,确定滑动窗的数值,计算出周期滑窗积分量,再将该积分量与反馈频率相乘得到整数部分变频率周期积分环节输出量R1,实施方式如图3所示。The step of the integral sliding window integration step determines the value of the sliding window based on the feedback grid frequency, calculates the integral amount of the periodic sliding window, and multiplies the integral amount by the feedback frequency to obtain an integer partial variable frequency period integral link output quantity R 1 The embodiment is shown in Figure 3.
Figure PCTCN2016109927-appb-000009
Figure PCTCN2016109927-appb-000009
其中:Fre为电网反馈频率;Ncur表示最新的采样数据点;Nint为一个周期采样整数点数,Ui为鉴相环节第i时刻的输出,
Figure PCTCN2016109927-appb-000010
为上一个采样点的累和值,
Figure PCTCN2016109927-appb-000011
最新的鉴相环节输出,
Figure PCTCN2016109927-appb-000012
一个周期前的鉴相环节输出。
Where: Fre is the grid feedback frequency; N cur represents the latest sampling data point; N int is a periodic sampling integer point, U i is the output of the i-th moment of the phase-detection link,
Figure PCTCN2016109927-appb-000010
For the accumulated value of the previous sample point,
Figure PCTCN2016109927-appb-000011
The latest phase-detection link output,
Figure PCTCN2016109927-appb-000012
Phase detection link output before a cycle.
积分误差校正环节步骤,根据反馈回来的电网频率,以及采样时间间隔,确定一个周期的整点数以及由于取整造成的误差点数;再根据误差点数和积分定义,估计在误差时刻对应的鉴相输出值;然后根据上述的估计值,估算出误差点数所造成当前时刻的积分误差;最后将当前时刻的积分误差与反馈频率相乘得到积分误差校正环节输出量R2In the integral error correction step, according to the grid frequency returned by the feedback, and the sampling time interval, the whole point of one cycle and the number of error points due to rounding are determined; and according to the error point and the integral definition, the phase-detecting output corresponding to the error moment is estimated. Then, according to the above estimated value, the integral error of the current moment caused by the error point is estimated; finally, the integral error of the current time is multiplied by the feedback frequency to obtain the integral error correction link output R 2 .
周期的整点数和误差点数的确定,设采样周期为Ts,则一个电网周期转换成采样点数为带小数Nfloat,取整所对应的点数为NintThe whole point of the cycle and the number of error points are determined. If the sampling period is Ts, then one grid period is converted into the number of sampling points with a decimal number N float , and the corresponding number of points is N int ;
Figure PCTCN2016109927-appb-000013
Figure PCTCN2016109927-appb-000013
由于电网频率不是固定值,国标对电网频率允许波动等级规定如下:频率等级A级≤±0.05Hz;B级≤±0.5Hz;C级≤±1Hz。说明电网频率是个时变量,因此,Nfloat并不是一个固定值,并且周期转换成采样点数后存在点数间的小数误差,因此在离散积分需要考虑到这部分的误差。设其误差点数为ΔN=Nfloat-NintSince the grid frequency is not a fixed value, the national standard limits the allowable fluctuation level of the grid frequency as follows: frequency class A level ≤ ± 0.05 Hz; class B ≤ ± 0.5 Hz; C level ≤ ± 1 Hz. Explain that the grid frequency is a time variable. Therefore, N float is not a fixed value, and there is a fractional error between the number of points after the period is converted into the number of samples. Therefore, the discrete integral needs to take into account this part of the error. Let the number of error points be ΔN=N float -N int .
误差时刻鉴相器输出值估计环节采用三点拟线性插值原理进行插值估计。根据三点拟线性插值原理估计k+ΔNTs时刻对应的鉴相环节输出Uk+ΔN,设任意时刻k,所得到的鉴相环节输出为Uk,其k-1时 刻所得到的鉴相环节输出为Uk-1,其k-2时刻所得到的鉴相环节输出为Uk-2,则估计在k+ΔNTs时刻对应的鉴相环节输出Uk+ΔN,采用三点拟线性插值原理得到Uk+ΔN为Uk+ΔN=Uk+[a×(Uk-Uk-1)+(1-a)×(Uk-1-Uk-2)]×(Nfloat-Nint),其中a取[0,1]的任意小数,具体实施方式如图4所示,本例实施,可以选取a=0.75。The error time phase detector output value estimation link uses three-point quasi-linear interpolation principle for interpolation estimation. According to the three-point quasi-linear interpolation principle, the phase-detection link output U k+ΔN corresponding to the time k + ΔNT s is estimated, and the arbitrary phase k is set. The obtained phase-detection link output is U k , and the phase obtained at time k-1 is obtained. The output of the link is U k-1 , and the output of the phase - detection link obtained at time k-2 is U k-2 , then the output phase corresponding to the k + ΔNT s is output U k + ΔN , using three-point quasi-linear The interpolation principle yields U k + ΔN as U k + ΔN = U k + [a × (U k - U k-1 ) + (1 - a) × (U k-1 - U k-2 )] × (N Float -N int ), where a takes any fraction of [0, 1]. The specific implementation is shown in Figure 4. In this example, a = 0.75 can be selected.
积分误差校正环节输出量为
Figure PCTCN2016109927-appb-000014
具体实施方式如图5所示。
The integral error correction link output is
Figure PCTCN2016109927-appb-000014
The specific embodiment is shown in FIG.
变参数积分分离变速PI调节环节步骤由变参数步骤和积分分离变速步骤组成。The variable parameter integral separation shift PI adjustment step consists of a variable parameter step and an integral separation shift step.
变参数步骤通过当前时刻前一个周期内电压峰值的绝对值,作为改变kp,ki的依据,起到去除谐波对锁相精度的影响。其参数kp,ki具体实现形式:
Figure PCTCN2016109927-appb-000015
其中ε为阻尼系数,Δf为允许跟踪频率范围,Umax为当前时刻前一个周期内电压峰值的绝对值。
The variable parameter step passes the absolute value of the voltage peak in the previous period of the current time as the basis for changing k p , k i , and plays the role of removing harmonics on the phase locking accuracy. Its parameters k p , k i concrete realization form:
Figure PCTCN2016109927-appb-000015
Where ε is the damping coefficient, Δf is the allowable tracking frequency range, and U max is the absolute value of the voltage peak in the previous period of the current time.
积分分离变速步骤将周期滑窗积分环节和积分误差校正环节的输出量进行叠加作为PI调节的误差输入e(k)=R1(k)+R2(k),构建积分分离变速函数f[e(k)],确保误差较大时,使得积分慢一些,避免积分造成系统稳定性差,超调高,误差较小时,使得积分快一些,充分利用积分稳态精度高的优势。The integral separation and shifting step superimposes the output of the cycle sliding window integral link and the integral error correction link as the error input e(k)=R 1 (k)+R 2 (k) of the PI adjustment, and constructs the integral separation shift function f[ e(k)], to ensure that the error is larger, the integration is slower, avoiding the integral to cause poor system stability, overshooting, and when the error is small, the integration is faster, making full use of the advantage of high stability of the integral.
积分分离变速函数f[e(k)]的表达式如下: The expression of the integral separation shifting function f[e(k)] is as follows:
Figure PCTCN2016109927-appb-000016
其中β≤α,Ι段变速阈值α,ΙΙ段变速阈值β。
Figure PCTCN2016109927-appb-000016
Where β ≤ α, the 变速 section shift threshold α, the 变速 section shift threshold β.
变参数积分分离变速PI调节器的输出电网同步角频率ω(k),其积分环节输出量为ωi,比例环节输出量为ωp。则有ωp(k)=kp×e(k),
Figure PCTCN2016109927-appb-000017
ω(k)=ωp(k)+f[e(k)]×ki×ωi(k),最后对输出角频率进行限幅输出,使得输出角频率限制在正常电网的中心角频率ω0附近,确保输出角频率限制在[ω0-2πΔf,ω0+2πΔf]之间。
The variable parameter integral separates the output grid synchronization angular frequency ω(k) of the variable speed PI regulator, the integral link output is ω i , and the proportional link output is ω p . Then ω p (k)=k p ×e(k),
Figure PCTCN2016109927-appb-000017
ω(k)=ω p (k)+f[e(k)]×k i ×ω i (k), and finally limit output the output angular frequency so that the output angular frequency is limited to the central angular frequency of the normal power grid. Near ω 0 , ensure that the output angular frequency is limited between [ω 0 -2πΔf, ω 0 +2πΔf].
角频率积分环节步骤,将变参数积分分离变速PI调节环节输出的限幅角频率进行离散积分后,得到与电网同步的相位角。离散积分采用三阶积分方式,
Figure PCTCN2016109927-appb-000018
具体实施方式如图6所示。
In the angular frequency integration step, the variable angle integral frequency of the variable parameter integral separation variable speed PI adjustment link is discretely integrated, and the phase angle synchronized with the power grid is obtained. Discrete integrals use a third-order integration method.
Figure PCTCN2016109927-appb-000018
The specific embodiment is shown in FIG. 6.
频率估计环节步骤,将变参数积分分离变速PI调节环节输出的限幅角频率进行频率转换,转换后进行频率变化率限幅,最后经过低通滤波器滤波得到电网的估计频率。将此估计频率作为变频率周期积分环节以及计算一个电网周期内采样点数的依据,具体实施方式如图7所示。In the frequency estimation step, the variable parameter integral is separated and the limited amplitude frequency outputted by the variable speed PI adjustment link is frequency-converted, and the frequency change rate is limited after the conversion, and finally the estimated frequency of the power grid is obtained through low-pass filter filtering. This estimated frequency is used as the basis for the variable frequency cycle integral link and the calculation of the number of sampling points in a grid cycle. The specific implementation is shown in FIG. 7 .
频率变化率限幅器起到限制变参数积分分离变速PI调节环节输出的角频率输出超调过大,起到提高频率估计输出暂态稳定性的作用。The frequency change rate limiter functions to limit the angular frequency output overshoot of the variable parameter integral separation speed PI adjustment link output, and plays the role of improving the transient stability of the frequency estimation output.
低通滤波器采用二阶低通滤波器,其表达式如下: The low pass filter uses a second order low pass filter with the following expression:
Figure PCTCN2016109927-appb-000019
Figure PCTCN2016109927-appb-000019
其中ωc为低通滤波器的截止角频率,ξ为阻尼系数,由于PI调节环节输出的角频率在电网不存在谐波时,含有二次波动,在电网存在较大的谐波时,含有2n次波动,因此在选择ωc应小于输入电网电压的最小角频率的2倍,则ωc可以取80π。Where ω c is the cutoff angle frequency of the low-pass filter, and ξ is the damping coefficient. Since the angular frequency output by the PI adjustment link does not have harmonics in the grid, it contains secondary fluctuations, and when there is a large harmonic in the power grid, it contains 2n fluctuations, so ω c can be taken as 80π when the choice ω c should be less than 2 times the minimum angular frequency of the input grid voltage.
本发明所要解决的技术问题是针对现有锁相技术在谐波严重或者频率波动的情况下,锁相环输出存在较大的静态误差,提出一种频率相位双反馈单相高精度锁相技术,改进锁相环的环路滤波器。传统的环路滤波器直接由PI调节器组成,这种环路滤波器稳态精度差,不能完全消除谐波以及频率变化对锁相环的输出精度的影响,因此本发明改进了传统锁相的环路滤波器,本发明的使用变频率周期积分环节和变参数积分分离变速PI调节环节组成的滤波环路,变频率周期积分环节又由周期滑窗积分环节和积分误差校正环节组成,周期滑窗积分环节,避免重复运算,在每个周期内只有一个加法和一个减法运算,程序实现简单,运算速度快,跟踪速度快;引进变频率周期积分误差校正环节,解决了采样点数间的累积误差和数值分析中截断误差对锁相环的影响,进一步提高了锁相环的同步精度。由于传统锁相环PI调节器,若调节系数选取过大,锁相速度快,但是输出波动大,结果不精确,若选取较小,虽然波动会减小波动,但是锁相速度被大大降低。因此,本发明提出采用变参数积分分离变速PI调节环节进行调节,可以保证锁相快速性的前提下,提高锁相精度,消除静差。改进后的环路滤波器可以在稳态时消除谐波以及频率变化对锁相环 的输出精度的影响。The technical problem to be solved by the invention is that the existing phase-locked technology has a large static error in the phase-locked loop output under the condition of severe harmonics or frequency fluctuation, and a frequency-phase double feedback single-phase high-precision phase-locking technique is proposed. Improve the loop filter of the phase-locked loop. The conventional loop filter is directly composed of a PI regulator. The loop filter has poor steady-state accuracy and cannot completely eliminate the influence of harmonics and frequency changes on the output precision of the phase-locked loop. Therefore, the present invention improves the conventional phase-locked phase. The loop filter, the filter loop composed of the variable frequency period integral link and the variable parameter integral separation variable speed PI adjustment link, the variable frequency period integral link is composed of the cycle sliding window integral link and the integral error correction link, and the cycle The sliding window integral link avoids repeated operations. There is only one addition and one subtraction operation in each cycle. The program is simple to implement, the operation speed is fast, and the tracking speed is fast. The variable frequency period integral error correction link is introduced to solve the accumulation between the sampling points. The influence of the truncation error on the phase-locked loop in error and numerical analysis further improves the synchronization accuracy of the phase-locked loop. Due to the traditional phase-locked loop PI regulator, if the adjustment factor is too large, the phase-locking speed is fast, but the output fluctuation is large, and the result is not accurate. If the selection is small, although the fluctuation will reduce the fluctuation, the phase-locking speed is greatly reduced. Therefore, the present invention proposes to adopt a variable parameter integral separation variable speed PI adjustment link for adjustment, which can ensure the phase locking accuracy and eliminate the static difference under the premise of fast phase locking. Improved loop filter eliminates harmonics and frequency changes in steady state for phase-locked loops The effect of the output accuracy.
采用本发明的实施步骤进行仿真验证,采样周期为Ts=0.0001s,在0.5s前电网频率为50Hz,并且只有基波电压,不含有谐波电压,其电网电压为Usa=311sin(100πt+π/8);在0.5s时改变电网频率为51Hz,并增加5%的3次电网谐波,相位超前基波π/8,10%的5次谐波,相位超前基波5π/24,电网电压为The simulation is verified by the implementation steps of the present invention. The sampling period is Ts=0.0001s, the grid frequency is 50Hz before 0.5s, and only the fundamental voltage, no harmonic voltage, and the grid voltage is U sa =311sin (100πt+ π/8); change the grid frequency to 51Hz at 0.5s, and increase the 5% of the 3rd generation grid harmonics, the phase leads the fundamental wave π/8, 10% of the 5th harmonic, the phase leads the fundamental wave 5π/24, Grid voltage is
Usa=311sin[102π(t-0.5)+π/8]+15.5sin[306π(t-0.5)+π/4]+31.1sin[510π(t-0.5)+π/3]其电网波形如图8所示。U sa =311sin[102π(t-0.5)+π/8]+15.5sin[306π(t-0.5)+π/4]+31.1sin[510π(t-0.5)+π/3] Figure 8 shows.
采用发明实施后,如图9所示,实心线为电网实际基波标幺值,虚线为本发明跟踪的电网基波标幺值。可以看出在0.56s时,完全跟踪上系统电网电压基波分量。并且在0.5s后加入谐波,并未对锁相环造成影响。如图10所示,电网电压跟踪频率超调小,小于0.03Hz,并且电网的跟踪频率在0.66s时满足《GB 19862-2005电能质量监测设备通用要求》对电网频率的偏差小于0.01Hz,并且0.7s达到稳定值,稳态误差小于0.001Hz,最终稳态误差能达到10-5级。After the implementation of the invention, as shown in FIG. 9, the solid line is the actual fundamental wave value of the power grid, and the broken line is the base wave standard value of the power grid tracked by the invention. It can be seen that at 0.56 s, the fundamental voltage component of the system grid voltage is completely tracked. And adding harmonics after 0.5s does not affect the phase-locked loop. As shown in Fig. 10, the grid voltage tracking frequency overshoot is small, less than 0.03 Hz, and the tracking frequency of the grid meets the "General Requirements for Power Quality Monitoring Equipment of GB 19862-2005" at 0.66 s, and the deviation of the grid frequency is less than 0.01 Hz, and The stable value is 0.7s, the steady-state error is less than 0.001Hz, and the final steady-state error can reach 10 -5 .
本说明书中所描述的以上内容仅仅是对本发明所作的举例说明。本发明所属技术领域的技术人员可以对所描述的具体实施例做各种修改或补充或采用类似的方式替代,只要不偏离本发明说明书的内容或者超越本权利要求书所定义的范围,均应属于本发明的保护范围。 The above description in this specification is merely illustrative of the invention. A person skilled in the art can make various modifications or additions to the specific embodiments described or replace them in a similar manner, as long as they do not deviate from the scope of the present specification or beyond the scope defined by the claims. It belongs to the scope of protection of the present invention.

Claims (10)

  1. 一种智能集成低压无功模块高精度锁相方法,其特征在于:包括乘法鉴相环节、变频率周期积分环节、变参数积分分离变速PI调节环节、角频率积分环节、频率估计环节、取余、正弦以及余弦;A high-precision phase-locking method for intelligent integrated low-voltage reactive module, which comprises: multi-phase phase-detecting link, variable frequency cycle integral link, variable parameter integral separation and shifting PI adjustment link, angular frequency integral link, frequency estimation link, and remainder , sine and cosine;
    乘法鉴相环节作为锁相技术的鉴相器,其输入信号为模数转化后电网数字电压与锁相输出相位的余弦;变频率周期积分环节和变参数积分分离变速PI调节环节组成改进后的环路滤波器,变频率周期积分环节的输入信号为乘法鉴相环节的输出和频率估计环节的输出,变频率周期积分环节的输出送入变参数积分分离变速PI调节环节;变参数积分分离变速PI调节环节的输出分别送入角频率积分环节以及频率估计环节进行计算得到电网电压的相位和频率;角频率积分环节的输出的余弦值反馈到鉴相器进行闭环控制;The multi-phase phase-detection link is used as the phase detector of the phase-locking technology. The input signal is the cosine of the digital voltage of the grid and the phase of the phase-locked output after the analog-to-digital conversion. The variable frequency period integral link and the variable parameter integral separation speed PI adjustment link are improved. The loop filter, the input signal of the variable frequency period integral link is the output of the multiplication phase detection link and the output of the frequency estimation link, and the output of the variable frequency period integral link is sent to the variable parameter integral separation shift PI adjustment link; the variable parameter integral separation shifting The output of the PI adjustment link is sent to the angular frequency integral link and the frequency estimation link to calculate the phase and frequency of the grid voltage; the cosine of the output of the angular frequency integral link is fed back to the phase detector for closed-loop control;
    频率估计环节由频率变化率限幅器和低通滤波器组成,频率变化率限幅器的输入为积分分离变速PI调节环节的输出进行频率与角频率转换后含有波动的频率,并送入到低通滤波器;低通滤波器的输出为电网频率的估计值,并将其送回变频率周期积分环节进行闭环控制;The frequency estimation link is composed of a frequency change rate limiter and a low-pass filter. The input of the frequency change rate limiter is the output of the integral-separated variable-speed PI adjustment link, and the frequency and the angular frequency are converted to have a fluctuating frequency, and are sent to Low-pass filter; the output of the low-pass filter is an estimated value of the grid frequency, and is sent back to the variable frequency period integral link for closed-loop control;
    取余的输入信号为角频率积分环节的输出,经过取余运算,输出电网同步相位角,并确保相位角在[0,2π]之间,避免积分运算导致数值溢出错误;正弦的输入信号为取余输出的电网同步相位角,输出电网基波同步标幺值;余弦的输入信号为取余输出的电网同步相位角,输出电网基波滞后90°的标幺值,作为相位的间接反馈量,实现相位闭环控制。The input signal of the remainder is the output of the angular frequency integral link. After the remainder operation, the synchronous phase angle of the grid is output, and the phase angle is ensured to be between [0, 2π], so as to avoid the numerical overflow error caused by the integral operation; the sinusoidal input signal is The grid synchronous phase angle of the output is output, and the fundamental frequency synchronization value of the output grid is output; the input signal of the cosine is the synchronous phase angle of the grid of the surplus output, and the standard value of the fundamental wave lag of 90° is output as the indirect feedback amount of the phase. , to achieve phase closed loop control.
  2. 按照权利要求1所述的智能集成低压无功模块高精度锁相方 法,其特征在于:所述变频率周期积分环节由周期滑窗积分环节和积分误差校正环节组成。The intelligent integrated low voltage reactive module high precision phase locking method according to claim 1 The method is characterized in that: the variable frequency period integral link is composed of a periodic sliding window integral link and an integral error correction link.
  3. 按照权利要求2所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述周期滑窗积分环节根据反馈回来的电网频率,确定滑动窗的数值,计算出整数部分的周期滑窗积分量,再将该积分量与反馈频率相乘得到整数部分变频率周期积分环节输出量R1The high-precision phase-locking method for intelligent integrated low-voltage reactive power module according to claim 2, wherein the integral sliding window integral link determines the value of the sliding window according to the feedback grid frequency, and calculates the cycle slip of the integer part. The amount of window integral, and then multiplying the integral amount by the feedback frequency to obtain an integer partial variable frequency period integral link output quantity R 1 ,
    Figure PCTCN2016109927-appb-100001
    Figure PCTCN2016109927-appb-100001
    其中:Fre为电网反馈频率,Ncur表示最新的采样数据点,Nint为一个周期采样整数点数,Ui为鉴相环节第i时刻的输出,
    Figure PCTCN2016109927-appb-100002
    为上一个采样点的累和值,
    Figure PCTCN2016109927-appb-100003
    最新的鉴相环节输出,
    Figure PCTCN2016109927-appb-100004
    一个周期前的鉴相环节输出。
    Where: Fre is the grid feedback frequency, N cur represents the latest sampling data point, N int is a periodic sampling integer point, U i is the output of the i-th moment of the phase-detection link,
    Figure PCTCN2016109927-appb-100002
    For the accumulated value of the previous sample point,
    Figure PCTCN2016109927-appb-100003
    The latest phase-detection link output,
    Figure PCTCN2016109927-appb-100004
    Phase detection link output before a cycle.
  4. 按照权利要求2所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述积分误差校正环节根据反馈回来的电网频率,以及采样时间间隔,确定一个周期的整点数以及由于取整造成的误差点数,再根据误差点数和积分定义,估计在误差时刻对应的鉴相输出值,然后根据上述的估计值,估算出误差点数所造成当前时刻的积分误差,最后将当前时刻的积分误差与反馈频率相乘得到积分误差校正环节输出量R2The high-precision phase-locking method for intelligent integrated low-voltage reactive power module according to claim 2, wherein the integral error correction link determines the whole-point number of one cycle and the corresponding point according to the grid frequency returned by the feedback and the sampling time interval. According to the error point number and the integral definition, the phase-detected output value corresponding to the error time is estimated, and then the integral error of the current moment caused by the error point is estimated according to the above-mentioned estimated value, and finally the integral of the current time is obtained. The error is multiplied by the feedback frequency to obtain an integral error correction link output R 2 .
  5. 按照权利要求4所述的智能集成低压无功模块高精度锁相方法,其特征在于:误差时刻鉴相输出值估计采用三点拟线性插值原理进行插值估计,设任意时刻k,所得到的鉴相环节输出为Uk,其k-1时 刻所得到的鉴相环节输出为Uk-1,其k-2时刻所得到的鉴相环节输出为Uk-2,则估计在k+ΔNTs时刻对应的鉴相环节输出Uk+ΔN,采用三点拟线性插值原理得到Uk+ΔN为Uk+ΔN=Uk+[a×(Uk-Uk-1)+(1-a)×(Uk-1-Uk-2)]×(Nfloat-Nint),其中a取[0,1]的任意小数。The high-precision phase-locking method for intelligent integrated low-voltage reactive power module according to claim 4 is characterized in that: the error time phase-detecting output value is estimated by using a three-point quasi-linear interpolation principle for interpolation estimation, and the obtained time is obtained. The output of the phase link is U k , and the output of the phase - detection link obtained at k-1 is U k-1 , and the output of the phase - detection link obtained at time k-2 is U k-2 , which is estimated at k + ΔNT s . The phase-correlation link output of the time corresponds to U k+ΔN , and the three-point quasi-linear interpolation principle is used to obtain U k+ΔN as U k+ΔN =U k +[a×(U k -U k-1 )+(1-a ×(U k-1 -U k-2 )]×(N float -N int ), where a takes any fraction of [0,1].
  6. 按照权利要求4所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述积分误差校正环节输出量R2根据离散积分定义,误差时刻鉴相器输出值估计和频率估计环节反馈的频率进行误差校正,其具体实现形式:
    Figure PCTCN2016109927-appb-100005
    The intelligent integrated low-voltage reactive module high-precision phase-locking method according to claim 4, wherein the integral error correction link output R 2 is defined according to discrete integral, the error time phase detector output value estimation and the frequency estimation link The frequency of feedback is error corrected, and its specific implementation form:
    Figure PCTCN2016109927-appb-100005
  7. 按照权利要求1所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述变参数积分分离变速PI调节环节包含变参数部分和积分分离变速部分。The intelligent integrated low-voltage reactive module high-precision phase-locking method according to claim 1, wherein the variable parameter integral separating and shifting PI adjusting link comprises a variable parameter portion and an integral separating shifting portion.
  8. 按照权利要求7所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述变参数部分通过当前时刻前一个周期内电压峰值的绝对值,作为改变kp,ki的依据,起到去除谐波对锁相精度的影响。其参数kp,ki具体实现形式:
    Figure PCTCN2016109927-appb-100006
    其中ε为阻尼系数,Δf为允许跟踪频率范围,Umax为当前时刻前一个周期内电压峰值的绝对值。
    The intelligent integrated low-voltage reactive module high-precision phase-locking method according to claim 7, wherein the variable parameter portion passes the absolute value of the voltage peak in the previous period of the current time as the basis for changing k p , k i To eliminate the influence of harmonics on the accuracy of phase lock. Its parameters k p , k i concrete realization form:
    Figure PCTCN2016109927-appb-100006
    Where ε is the damping coefficient, Δf is the allowable tracking frequency range, and U max is the absolute value of the voltage peak in the previous period of the current time.
  9. 按照权利要求7所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述积分分离变速部分将周期滑窗积分环节和积分 误差校正环节的输出量进行叠加作为PI调节的误差输入e(k)=R1(k)+R2(k),构建积分分离变速函数f[e(k)],
    Figure PCTCN2016109927-appb-100007
    其中β≤α,Ι段变速阈值α,ΙΙ段变速阈值β,确保误差较大时,使得积分慢一些,避免积分造成系统稳定性差,超调高,误差较小时,使得积分快一些,充分利用积分稳态精度高的优势。
    The intelligent integrated low-voltage reactive module high-precision phase-locking method according to claim 7, wherein the integral separating and shifting portion superimposes the output of the cycle sliding window integral link and the integral error correction link as the error of the PI adjustment. Enter e(k)=R 1 (k)+R 2 (k) to construct the integral separation shift function f[e(k)],
    Figure PCTCN2016109927-appb-100007
    Among them, β ≤ α, Ι section shift threshold α, ΙΙ section shift threshold β, to ensure that the error is larger, so that the integral is slower, avoiding the system stability caused by integral, high overshoot, when the error is small, make the integral faster, make full use of The advantage of high steady-state accuracy.
  10. 按照权利要求1所述的智能集成低压无功模块高精度锁相方法,其特征在于:所述变参数积分分离变速PI调节环节的输出电网同步角频率ω(k),其积分环节输出量为ωi,比例环节输出量为ωp,则有ωp(k)=kp×e(k),
    Figure PCTCN2016109927-appb-100008
    ω(k)=ωp(k)+f[e(k)]×ki×ωi(k),最后对输出角频率进行限幅输出,使得输出角频率限制在正常电网的中心角频率ω0附近,确保输出角频率限制在[ω0-2πΔf,ω0+2πΔf]之间。
    The high-precision phase-locking method for intelligent integrated low-voltage reactive power module according to claim 1, characterized in that: the variable parameter integral is separated from the output grid synchronous angular frequency ω(k) of the variable speed PI adjusting link, and the integral link output is ω i , the proportional link output is ω p , then ω p (k)=k p ×e(k),
    Figure PCTCN2016109927-appb-100008
    ω(k)=ω p (k)+f[e(k)]×k i ×ω i (k), and finally limit output the output angular frequency so that the output angular frequency is limited to the central angular frequency of the normal power grid. Near ω 0 , ensure that the output angular frequency is limited between [ω 0 -2πΔf, ω 0 +2πΔf].
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