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		<title>Chen et al 2018a - Revision history</title>
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		<updated>2026-06-13T18:36:06Z</updated>
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		<title>Scipediacontent at 19:14, 1 February 2021</title>
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				<updated>2021-02-01T19:14:01Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 19:14, 1 February 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot; &gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Abstract ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Abstract ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In direct electrical heating system (DEHs), which is developed for subsea process to safeguard well stream through pipelines to topside process platform or shore, the production pipeline is also acts as an active conductor conducting large AC current to generate heat. The heating source is conductive and hysteresis power losses in the pipe. Currently, the all implemented DEHs operate at 50Hz. There is a potential to further improve the heating capacity of the DEHs by operating the system at higher frequency so that the same power can be achieved at lower current. Consequently, the cross-session of the power cable can be reduced. Furthermore, operation in higher frequency directly results in better system utilization and less AC corrosion of the pipeline. This will further reduce the installation and operational cost and increase the system lifetime. For DEHs design it is critical to predict the heating power as function of input current and frequency so that proper frequency and current can be selected correspondingly. This paper analytically evaluate the heating power as functions of current and frequency based on experimentally measured material properties such as mass density, conductivity, B-H curve and hysteresis. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Â© &lt;/del&gt;2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In direct electrical heating system (DEHs), which is developed for subsea process to safeguard well stream through pipelines to topside process platform or shore, the production pipeline is also acts as an active conductor conducting large AC current to generate heat. The heating source is conductive and hysteresis power losses in the pipe. Currently, the all implemented DEHs operate at 50Hz. There is a potential to further improve the heating capacity of the DEHs by operating the system at higher frequency so that the same power can be achieved at lower current. Consequently, the cross-session of the power cable can be reduced. Furthermore, operation in higher frequency directly results in better system utilization and less AC corrosion of the pipeline. This will further reduce the installation and operational cost and increase the system lifetime. For DEHs design it is critical to predict the heating power as function of input current and frequency so that proper frequency and current can be selected correspondingly. This paper analytically evaluate the heating power as functions of current and frequency based on experimentally measured material properties such as mass density, conductivity, B-H curve and hysteresis. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;© &lt;/ins&gt;2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
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		<title>Scipediacontent: Scipediacontent moved page Draft Content 767466568 to Chen et al 2018a</title>
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				<updated>2021-01-21T13:46:26Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_767466568&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 767466568&quot;&gt;Draft Content 767466568&lt;/a&gt; to &lt;a href=&quot;/public/Chen_et_al_2018a&quot; title=&quot;Chen et al 2018a&quot;&gt;Chen et al 2018a&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 13:46, 21 January 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Chen_et_al_2018a&amp;diff=182428&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  In direct electrical heating system (DEHs), which is developed for subsea process to safeguard well stream through pipelines to topside process platform or sh...&quot;</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Chen_et_al_2018a&amp;diff=182428&amp;oldid=prev"/>
				<updated>2021-01-21T13:46:24Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  In direct electrical heating system (DEHs), which is developed for subsea process to safeguard well stream through pipelines to topside process platform or sh...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
In direct electrical heating system (DEHs), which is developed for subsea process to safeguard well stream through pipelines to topside process platform or shore, the production pipeline is also acts as an active conductor conducting large AC current to generate heat. The heating source is conductive and hysteresis power losses in the pipe. Currently, the all implemented DEHs operate at 50Hz. There is a potential to further improve the heating capacity of the DEHs by operating the system at higher frequency so that the same power can be achieved at lower current. Consequently, the cross-session of the power cable can be reduced. Furthermore, operation in higher frequency directly results in better system utilization and less AC corrosion of the pipeline. This will further reduce the installation and operational cost and increase the system lifetime. For DEHs design it is critical to predict the heating power as function of input current and frequency so that proper frequency and current can be selected correspondingly. This paper analytically evaluate the heating power as functions of current and frequency based on experimentally measured material properties such as mass density, conductivity, B-H curve and hysteresis. Â© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Original document ==&lt;br /&gt;
&lt;br /&gt;
The different versions of the original document can be found in:&lt;br /&gt;
&lt;br /&gt;
* [http://hdl.handle.net/11250/2579322 http://hdl.handle.net/11250/2579322]&lt;br /&gt;
&lt;br /&gt;
* [https://ntnuopen.ntnu.no/ntnu-xmlui/bitstream/11250/2579322/2/Chen-Predition%2bog%2bheating%2bpower.pdf https://ntnuopen.ntnu.no/ntnu-xmlui/bitstream/11250/2579322/2/Chen-Predition%2bog%2bheating%2bpower.pdf]&lt;br /&gt;
&lt;br /&gt;
* [http://xplorestaging.ieee.org/ielx7/8484958/8508031/08508223.pdf?arnumber=8508223 http://xplorestaging.ieee.org/ielx7/8484958/8508031/08508223.pdf?arnumber=8508223],&lt;br /&gt;
: [http://dx.doi.org/10.1109/intmag.2018.8508223 http://dx.doi.org/10.1109/intmag.2018.8508223]&lt;br /&gt;
&lt;br /&gt;
* [https://ntnuopen.ntnu.no/ntnu-xmlui/handle/11250/2579322 https://ntnuopen.ntnu.no/ntnu-xmlui/handle/11250/2579322],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/2899442945 https://academic.microsoft.com/#/detail/2899442945]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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