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With the rapid development of the science and technology, the application of the high voltage power cable has become more and more extensive. Now, it is generally accepted that space charge has an important effect on the electrical properties of insulating material in a high voltage cable. The measurement of space charge is the research base for the behaviors and properties of space charge in the polymer dielectric. Actually, the pressure wave propagation (PWP) method and pulsed electroacoustic (PEA) method are two sophisticated methods of measuring the space charge. However, these two methods are based on a planar sample. For measuring the space charge in a real cable, it is necessary to need the correct and precise mathematical expressions for the PWP method and PEA method. According to the theoretical analysis of the space charge distributions in the plate samples, measured by the pressure wave propagation method, we propose a physical model and its mathematical method of treating space charge distribution data measured in a coaxial geometry. In terms of Poisson equation, the influences of pressure waves on coaxial samples can be divided into two parts, namely, sample deformation and particle displacement. These two parts take into consideration the variations of the sample electric field, dielectric constant and density of space charge disturbed by pressure waves. Therefore, the voltage and current equations about the space charge distribution in the coaxial structure are found. The mathematical expression for the current measured indicates that compared with the current measured in the planar structure, which is proportional to the space charge distribution, the current signal measured in the coaxial structure should be further corrected. This paper also shows the experimental results which are the induced current signals picked from the planar sample and coaxial sample respectively. The results indicate that the current measured in the planar sample is proportional to the space charge distribution. However, the current measured in the planar sample is related to the inner and outer diameter of the dielectric, which verifies the correctness of the mathematical expression. Due to the influence of the coaxial structure of the high voltage cable, the pressure wave focusing effect is obvious as the pressure wave propagates along the axis, which causes the measurement signal to increase gradually with the propagation of sound wave. As a consequence, the electric field and the space charge density will change apparently. Due to the influence of the pressure wave focusing effect, the current and voltage signal will be amplified more obviously in cable, and the current measured by the PWP method shows the distribution of space charge density in cable.
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Keywords:
- space charge distribution /
- pressure wave propagation method /
- solid dielectric /
- coaxial structure
[1] Boggs S 2004 IEEE Electr. Insul. Mag. 20 22
[2] Lewiner J 2010 IEEE Trans. Dielectr. Electr. Insul. 17 1096
[3] Collins R E 1976 J. Appl. Phys. 47 4804
[4] Laurenceau P, Ball J, Dreyfus G, Lewiner J 1976 CR Acad. Sci. Paris 283 135
[5] Laurenceau P, Dreyfus G, Lewiner J 1977 Phys. Rev. Lett. 38 46
[6] Sessler G M, West J E, Gerhard G 1982 Phys. Rev. Lett. 48 563
[7] Satoh Y, Tanaka Y, Takada T 1997 Electr. Eng. Jpn. 121 1
[8] Lang S B, Das-Gupta D K 1986 J. Appl. Phys. 59 2151
[9] Li Y, Yasuda M, Takada T 1994 IEEE Trans. Dielectr. Electr. Insul. 1 188
[10] Lewiner J, Hole S, Ditchi T 2005 IEEE Trans. Dielectr. Electr. Insul. 12 114
[11] International Electrotechnical Commission 2012 Calibration of Space Charge Measuring Equipment based on the Pulsed Electroacoustic (PEA) Measurement Principle IEC/TS 62758-2012
[12] International Electrotechnical Commission Measurement of Internal Electric Field In Insulating Materials-Pressure Wave Propagation Method IEC/TR 62836-2013
[13] Mahdavi S, Alquie C, Lewiner J 1989 CEIDP 10 296
[14] Choo W, Chen G, Swingler S G 2011 IEEE Trans. Dielectr. Electr. Insul. 18 596
[15] Zheng F H, Zhang Y W, Wu C S, Li J X, Xia Z F 2003 Acta Phys. Sin. 52 1137 (in Chinese) [郑飞虎, 张冶文, 吴长顺, 李吉晓, 夏忠福 2003 物理学报 52 1137]
[16] Hole S 2012 IEEE Trans. Dielectr. Electr. Insul. 19 1208
[17] Morsse P M, Ingard K U (translated by L R Y, Yang X R) 1986 Theoretical Acoustics (Beijing: Science Press) pp299-302 (in Chinese) [莫尔斯 P M, 英格特K U 著(吕如榆, 杨训仁 译) 1986 理论声学 (北京: 科学出版社)第299-302页]
[18] Morsse P M, Ingard K U (translated by L R Y, Yang X R) 1986 Theoretical Acoustics (Beijing: Science Press) pp420-421 (in Chinese) [莫尔斯 P M, 英格特K U 著 (吕如榆, 杨训仁 译) 1986 理论声学(北京: 科学出版社) 第420-421页]
[19] Hu L Q, Zhang Y W, Zheng F H 2005 IEEE Trans. Dielectr. Electr. Insul. 12 809
[20] Ma P, Zhang Y W, Hol S, Zheng F H, An Z L 2015 Meas. Sci. Technol. 27 025003
[21] Guo C, Zhang Y W, Zheng F H, An Z L, Zhu Z E, Yang L M, Zhang J, Yu E K 2017 1st IEEE International Conference on Electrical Materials and Power Equipment Xi'an, China, May 14-17, 2017 p30
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[1] Boggs S 2004 IEEE Electr. Insul. Mag. 20 22
[2] Lewiner J 2010 IEEE Trans. Dielectr. Electr. Insul. 17 1096
[3] Collins R E 1976 J. Appl. Phys. 47 4804
[4] Laurenceau P, Ball J, Dreyfus G, Lewiner J 1976 CR Acad. Sci. Paris 283 135
[5] Laurenceau P, Dreyfus G, Lewiner J 1977 Phys. Rev. Lett. 38 46
[6] Sessler G M, West J E, Gerhard G 1982 Phys. Rev. Lett. 48 563
[7] Satoh Y, Tanaka Y, Takada T 1997 Electr. Eng. Jpn. 121 1
[8] Lang S B, Das-Gupta D K 1986 J. Appl. Phys. 59 2151
[9] Li Y, Yasuda M, Takada T 1994 IEEE Trans. Dielectr. Electr. Insul. 1 188
[10] Lewiner J, Hole S, Ditchi T 2005 IEEE Trans. Dielectr. Electr. Insul. 12 114
[11] International Electrotechnical Commission 2012 Calibration of Space Charge Measuring Equipment based on the Pulsed Electroacoustic (PEA) Measurement Principle IEC/TS 62758-2012
[12] International Electrotechnical Commission Measurement of Internal Electric Field In Insulating Materials-Pressure Wave Propagation Method IEC/TR 62836-2013
[13] Mahdavi S, Alquie C, Lewiner J 1989 CEIDP 10 296
[14] Choo W, Chen G, Swingler S G 2011 IEEE Trans. Dielectr. Electr. Insul. 18 596
[15] Zheng F H, Zhang Y W, Wu C S, Li J X, Xia Z F 2003 Acta Phys. Sin. 52 1137 (in Chinese) [郑飞虎, 张冶文, 吴长顺, 李吉晓, 夏忠福 2003 物理学报 52 1137]
[16] Hole S 2012 IEEE Trans. Dielectr. Electr. Insul. 19 1208
[17] Morsse P M, Ingard K U (translated by L R Y, Yang X R) 1986 Theoretical Acoustics (Beijing: Science Press) pp299-302 (in Chinese) [莫尔斯 P M, 英格特K U 著(吕如榆, 杨训仁 译) 1986 理论声学 (北京: 科学出版社)第299-302页]
[18] Morsse P M, Ingard K U (translated by L R Y, Yang X R) 1986 Theoretical Acoustics (Beijing: Science Press) pp420-421 (in Chinese) [莫尔斯 P M, 英格特K U 著 (吕如榆, 杨训仁 译) 1986 理论声学(北京: 科学出版社) 第420-421页]
[19] Hu L Q, Zhang Y W, Zheng F H 2005 IEEE Trans. Dielectr. Electr. Insul. 12 809
[20] Ma P, Zhang Y W, Hol S, Zheng F H, An Z L 2015 Meas. Sci. Technol. 27 025003
[21] Guo C, Zhang Y W, Zheng F H, An Z L, Zhu Z E, Yang L M, Zhang J, Yu E K 2017 1st IEEE International Conference on Electrical Materials and Power Equipment Xi'an, China, May 14-17, 2017 p30
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