• Title/Summary/Keyword: Phase angle error

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Evaluation Technique of Linearity of Ratio Error and Phase Angle Error of Voltage Transformer Comparison Measurement System Using Capacitor Burden (전기용량 부담을 이용한 전압변성기 비교 측정 시스템의 비오차 및 위상각 오차의 직선성 평가기술)

  • Jung Jae Kap;Kim Han Jun;Kwon Sung Won;Kim Myung Soo
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.54 no.6
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    • pp.274-278
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    • 2005
  • Voltage transformer(VT) comparison measurement system is usually used for measurements of ratio error and phase angle error of VT made in industry. Both ratio error and phase angle error in VT are critically influenced by values of burden of VT used. External burden effects on both ratio error and phase angle error in VT are theoretically calculated. From the theoretical calculation, a method of evaluation for linearity of ratio error and phase angle error in VT measurement system have been developed using the standard capacitive burdens, with negligible dissipation factor less than 10$^{-4}$. These burden consists of five standard capacitors, with nominal capacitance of 1.1 $\mu$F, 1 $\mu$F, 0.1 $\mu$F, 0.01 $\mu$F, 0.001 $\mu$F. The developed method has been applied in VT measurement system of industry, showing in good consistency and linearity within 0.001 $\%$ between theoretical and measured values.

Analysis of Phase Error Effects Due to Grid Frequency Variation of SRF-PLL Based on APF

  • Seong, Ui-Seok;Hwang, Seon-Hwan
    • Journal of Power Electronics
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    • v.16 no.1
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    • pp.18-26
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    • 2016
  • This paper proposes a compensation algorithm for reducing a specific ripple component on synchronous reference frame phase locked loop (SRF-PLL) in grid-tied single-phase inverters. In general, SRF-PLL, which is based on all-pass filter to generate virtual voltage, is widely used to estimate the grid phase angle in a single-phase system. In reality, the estimated grid phase angle might be distorted because the phase difference between actual and virtual voltages is not 90 degrees. That is, the phase error is caused by the difference between cut-off frequency of all-pass filter and grid frequency under grid frequency variation. Therefore, the effects on phase angle and output current attributed to the phase error are mathematically analyzed in this paper. In addition, the proportional resonant (PR) controller is adapted to reduce the effects of phase error. The validity of the proposed algorithm is verified through several simulations and experiments.

Evaluation Technique of Linearity of Ratio Error and Phase Angle Error of Voltage Transformer Comparison Measurement Equipment (전압변성기 비교 측정 장치의 비오차 및 위상각 오차의 직선성 평가기술)

  • 정재갑;박영태;권성원
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.9
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    • pp.470-474
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    • 2004
  • Both ratio error and phase angle error in voltage transformer(VT) depend on values of burden of VT used. A method of evaluation for linearity of ratio error and phase angle error in VT measurement equipment have been developed using the standard resistance burdens, with negligible AC-DC resistance difference less than $10^-6$. These burden consists of five standard resistors, with nominal resistance of 100 $\Omega$, 1 k$\Omega$, 10 k$\Omega$, 100 k$\Omega$, and 1 M$\Omega$. The developed method has been applied in VT measurement equipment of industry and the validity of the developed method has been verified by showing the consistency of the result of linearity obtained using VT with wide ratio error.

Measurement of Ratio Error/Phase Angle Error of Potential Transformer using High Voltage Capacitance Bridge and Uncertainty Analysis (고전압 전기용량 브리지를 이용한 전압변성기의 비오차와 위상각 오차의 측정과 불확도 분석)

  • Kwon, Sung-Won;Lee, Sang-Hwa;Kim, Myung-Soo;Jung, Jae-Kap
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.55 no.3
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    • pp.134-141
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    • 2006
  • A potential transformer(PT) has ratio error and phase angle error. Precise measurement of the errors of PT can be achieved using high voltage capacitance bridge, high voltage capacitor and low voltage capacitor. The uncertainty for this method is evaluated and found to be $20{\times}10^{-6}$ in both ratio error and phase angle error. The values measured for PT using the method are well consistent with the those measured for same PT in NMIA(National Measurement Institute of Australia) within the corresponding uncertainty.

A Study on Ratio Error and Phase Angle Error Caused by an External Burden in Voltage Transformer (외부부담이 전압변성기의 비오차와 위상각오차에 미치는 영향에 대한 연구)

  • 정재갑;권성원;김규태;김명수
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.3
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    • pp.137-142
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    • 2004
  • A voltage transformer(VT) used for the estabilishment of high voltage national standard, has generally ratio error and phase angle error. Both errors in VT depend critically on values of external burden of VT used. Both ratio ewer and phase angle error in existence of the external burden is calculated. These calculated values are very well consistent with the experimental result. The principle and the measurement method of VT in our institute are also explained.

A Study on Effects of Offset Error during Phase Angle Detection in Grid-tied Single-phase Inverters based on SRF-PLL (SRF-PLL을 이용한 계통연계형 단상 인버터의 전원 위상각 검출시 옵셋 오차 영향에 관한 연구)

  • Kwon, Young;Seong, Ui-Seok;Hwang, Seon-Hwan
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.10
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    • pp.73-82
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    • 2015
  • This paper proposes an ripple reduction algorithm and analyzes the effects of offset and scale errors generated by voltage sensor while measuring grid voltage in grid-tied single-phase inverters. Generally, the grid-connected inverter needs to detect the phase angle information by measuring grid voltage for synchronization, so that the single-phase inverter can be accurately driven based on estimated phase angle information. However, offset and scale errors are inevitably generated owing to the non-linear characteristics of voltage sensor and these errors affect that the phase angle includes 1st harmonic component under using SRF-PLL(Synchronous Reference Frame - Phase Locked Loop) system for detecting grid phase angle. Also, the performance of the overall system is degraded from the distorted phase angle including the specific harmonic component. As a result, in this paper, offset and scale error due to the voltage sensor in single-phase grid connected inverter under SRF-PLL is analyzed in detail and proportional resonant controller is used to reduce the ripples caused by the offset error. Especially, the integrator output of PI(Proportional Integral) controller in SRF-PLL is selected as an input signal of the proportional resonant controller. Simulation and experiment are performed to verify the effectiveness of the proposed algorithm.

The Reluctance Torque Estimate by Linkage Flux Calculation of IPMSM (IPMSM의 쇄교자속 계산을 통한 릴럭턴스 토크 산정)

  • Cho, Gyu-Won;Kim, Cheol-Min;Lee, Jung-Gyu;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.2
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    • pp.171-176
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    • 2013
  • Classically, reluctance torque of IPMSM(Interior Permanent Magnet Synchronous Motor) by using inductance according to current phase angle generates an error. This error is affected by total torque. From current phase angle $0^{\circ}$ to large errors will occur, because reluctance torque include current phase angle. But, reluctance torque from steady-state voltage equation of IPMSM is represented by linkage flux. So, reluctance torque is unrelated to the current phase angle formula can be derived. In this paper, operating torque was analyzed by d, q-axis linkage flux of IPMSM and reluctance torque to perform calculations reduced the error of the total torque calculation.

A Study on Usefulness Verification Technique of the Measurement System by the Difference Between Caculated and Experimental Values of Ratio Error/phase Annie Error in Current Transformer (전류변성기의 비오차와 위상각오차의 계산값과 실험값의 차에 의한 측정시스템 유용성 검증기술에 관한 연구)

  • 정재갑;권성원;이상화;박영태
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.4
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    • pp.213-217
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    • 2004
  • A current transformer(CT) used for the estabilishment of high current national standard, has generally very small ratio error and phase angle error. Both the errors of CT depend critically on the external burden used. When both the ratio and phase angle errors at two different burdens including zero burden are known, those at any other burdens are calculated theoretically. The theoretical values are well consistent with the experimental results within the $82{\times}10$-6, implying the measurement system of CT in KRISS is well maintained.

A Study on Current Ripple Reduction Due to Offset Error in SRF-PLL for Single-phase Grid-connected Inverters (단상 계통연계형 인버터의 SRF-PLL 옵셋 오차로 인한 전류 맥동 저감에 관한 연구)

  • Hwang, Seon-Hwan;Hwang, Young-Gi;Kwon, Soon-Kurl
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.28 no.11
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    • pp.68-76
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    • 2014
  • This paper presents an offset error compensation algorithm for the accurate phase angle of the grid voltage in single-phase grid-connected inverters. The offset error generated from the grid voltage measurement process cause the fundamental harmonic component with grid frequency in the synchronous reference frame phase lock loop (PLL). As a result, the grid angle is distorted and the power quality in power systems is degraded. In addition, the dq-axis currents in the synchronous reference frame and phase current have the dc component, first and second order ripples compared with the grid frequency under the distorted grid angle. In this paper, the effects of the offset and scaling errors are analyzed based on the synchronous reference frame PLL. Particularly, the offset error can be estimated from the integrator output of the synchronous reference frame PLL and compensated by using proportional-integral controller. Moreover, the RMS (Root Mean Square) function is proposed to detect the offset error component. The effectiveness of the proposed algorithm is verified through simulation and experiment results.

On-Site Calibration Technology of Burden using Voltage Transformer Comparator (전압변성기 비교기를 이용한 부담의 현장교정 기술)

  • Jung, Jae Kap;Kwon, Sung Won;Park, Young Tae;Kim, Myung Soo
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.54 no.11
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    • pp.503-507
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    • 2005
  • Both ratio error and phase angle error in voltage transformer(VT) depend on values of VT burden used. Thus, precise measurement of burden is very important for the evaluation of VT. A method of evaluation for VT burden has been developed by employing the portable decade resistor, with AC-DC resistance difference less than 10-3. The burden value(value and power factor) can be obtained by conductance and susceptance, obtained by measuring the change of ratio error and phase angle error caused by the resistance change of decade resistor. The burden value and power factor obtained by the method are consistent with those obtained using power analyzer within corresponding uncertainties.