I just pushed a new version of makePTDF()<https://github.com/MATPOWER/matpower/blob/master/lib/makePTDF.m> that has the option to efficiently compute PTDFs for specific transfers or specific buses only. It also happens to speed up the creating of the full dense PTDF for large systems (about a 100% speedup for case9241pegase under MATLAB, 70% under Octave).
Let me know if this works for you. I expect it may even be faster than the code you suggested below, since it’s fully vectorized (no loops). Ray On Feb 18, 2020, at 4:30 PM, Ray Daniel Zimmerman <[email protected]<mailto:[email protected]>> wrote: Thanks Tobias! I was just about to respond to your first message when I saw this. I’ve linked to this from https://github.com/MATPOWER/matpower/issues/38 so I have it right there when I get some time to try to integrate this into makePTDF(). Ray On Feb 18, 2020, at 2:07 AM, [email protected]<mailto:[email protected]><mailto:[email protected]> wrote: Finally with some more thoughts I figured it out and want to apologize, that I asked in the first place. Now I get for a sample of buses the same PTDF values as with the makePTDF function. Here is my solution, if anyone might be interested: " OutmailID: 124387247, List: 'matpower-l', MemberID: 6449049 SCRIPT: "% alternative as in https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159 nb = size(mpc.bus, 1); slack_bus = find(mpc.bus(:, BUS_TYPE) == REF); % Ref. slack slack = slack_bus; noslack = find((1:nb)' ~= slack_bus); [Bbus, Bf, Pbusinj, Pfinj] = makeBdc(mpc); Bbus(slack, :) = []; % remove slack row Bbus(:, slack) = []; % remove slack col for it = 1:numel(exemplary_subSet_slack) dP = zeros(nb, 1); % init dP(slack) = []; % remove slack i = exemplary_subSet_slack(it); if i > slack i = i-1; end dP(i) = 1; dx = Bbus \ dP; dTheta = zeros(nb, 1); % init dTheta(noslack) = dx; H_altern(:,it) = Bf * dTheta; end" TCL MERGE ERROR ( 02/18/2020 17:30:49 ): "syntax error in expression "i": variable references require preceding $% slack distribution slack_weights(1:numel(exemplary_subSet_slack)) = 1/numel(exemplary_subSet_slack); v = H_altern * slack_weights'; for k = 1:numel(exemplary_subSet_slack) H_newAndDistributed(:, k) = H_altern(:, k) - v; end With best regards, Tobias Hoffmann Von: [email protected]<mailto:[email protected]><mailto:[email protected]> <[email protected]<mailto:[email protected]><mailto:[email protected]>> Im Auftrag von Marwan Ahmed Alasali Gesendet: Montag, 17. Februar 2020 10:22 An: MATPOWER discussion forum <[email protected]<mailto:[email protected]><mailto:[email protected]>> Cc: [email protected]<mailto:[email protected]><mailto:[email protected]> Betreff: Re: alternative to makePTDF for a subset of busses (with distributed slack) Dear all, I want data for IEEE30 bus system On Mon, 17 Feb 2020 at 14:49, <[email protected]<mailto:[email protected]><mailto:[email protected]>> wrote: Dear all, I would like to calculate the PTDFs of a subset of ~500 nodes for a large network of > 10,000 nodes. Since the whole calculation of the PTDF matrix is very CPU-intensive (as I have already read in https://github.com/MATPOWER/matpower/issues/37 and [email protected]<mailto:[email protected]>/msg05580.html<http://[email protected]/msg05580.html>), I tried to orientate myself on this: https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159. Here is my consideration using the example of the test scenario "case30": mpc = loadcase(case30); mpc = ext2int(mpc); " OutmailID: 124387247, List: 'matpower-l', MemberID: 6449049 SCRIPT: "% Referenz PTDF % distributed_slack_setNodes = [1, 7, 15, 24]; define_constants() mpc = loadcase(case30); exemplary_subSet_slack = randi(30,1,5); weightSlack = zeros(size(mpc.bus,1),1); weightSlack(exemplary_subSet_slack) = 1; slackForPTDF = weightSlack/numel(exemplary_subSet_slack); H_makePTDF = makePTDF(mpc,slackForPTDF);%,slackForPTDF)%,slack); H_makePTDF_rel = H_makePTDF(:,exemplary_subSet_slack);" TCL MERGE ERROR ( 02/18/2020 17:30:49 ): "invalid command name "1,"% alternative as in https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159 nb = size(mpc.bus, 1); slack_bus = find(mpc.bus(:, BUS_TYPE) == REF); % Ref. slack slack = slack_bus; noslack = find((1:nb)' ~= slack_bus); [Bbus, Bf, Pbusinj, Pfinj] = makeBdc(mpc); Bbus(slack, :) = []; % remove slack row Bbus(:, slack) = []; % remove slack col for it = 1:numel(exemplary_subSet_slack) dP = zeros(nb, 1); % init dP(slack) = []; % remove slack i = exemplary_subSet_slack(it); tmpDistributed_slack_set = exemplary_subSet_slack; tmpDistributed_slack_set(it) = []; dP(i) = 1; j = tmpDistributed_slack_set; dP(j) = -1 / numel(j); dx = Bbus \ dP; dTheta = zeros(nb, 1); % init dTheta(noslack) = dx; H_altern(:,it) = Bf * dTheta; end " OutmailID: 124387247, List: 'matpower-l', MemberID: 6449049 SCRIPT: "% slack distribution slack_weights(1:numel(exemplary_subSet_slack)) = 1/numel(tmpDistributed_slack_set) - 1/numel(exemplary_subSet_slack); v = H_altern * slack_weights'; for k = 1:numel(exemplary_subSet_slack) H_altern_2(:, k) = H_altern(:, k) - v; end Unfortunately, the calculation does not lead to the desired result. I suspect my error in the distribution of the slack, but I am not sure. I would be very happy about a help. Thanks a lot! With best regards, Tobias Hoffman -- Thanks & Regards Marwan Ahmed Alasali Research Scholar Department of Electrical Engineering, Aligarh Muslim University, Aligarh Contact:+91-9634376962 [email protected]<mailto:[email protected]><mailto:[email protected]> [email protected]<mailto:[email protected]><mailto:[email protected]> skype : marwan.alaslay --_000_5E99F7502F324D4380330801FFA0A276cornelledu_ Content-Type: text/html; charset="utf-8" Content-ID: <[email protected]<mailto:[email protected]>> Content-Transfer-Encoding: base64 <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> </head> <body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""> Thanks Tobias! I was just about to respond to your first message when I saw this. I’ve linked to this from <a href="https://github.com/MATPOWER/matpower/issues/38"; class="">https://github.com/MATPOWER/matpower/issues/38</a> so I have it right there when I get some time to try to integrate this into <font face="Courier" class="">makePTDF()</font>. <div class=""><br class=""> </div> <div class=""> Ray</div> <div class=""><br class=""> </div> <div class=""> <div class=""> <div><br class=""> <blockquote type="cite" class=""> <div class="">On Feb 18, 2020, at 2:07 AM, <a href="mailto:[email protected]"; class=""> [email protected]<mailto:[email protected]></a> wrote:</div> <br class="Apple-interchange-newline"> <div class=""> <div class="WordSection1" style="page: WordSection1; caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;"> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Finally with some more thoughts I figured it out and want to apologize, that I asked in the first place. Now I get for a sample of buses the same PTDF values as with the makePTDF function.<o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Here is my solution, if anyone might be interested:</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 12pt; font-family: "Courier New";" class=""><o:p class=""> </o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">" TCL MERGE ERROR ( 02/18/2020 17:30:49 ): "wrong # args: should be "for start test next command"% alternative as in<span class="Apple-converted-space"> </span><a href="https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159"; style="color: purple; text-decoration: underline;" class="">https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159</a></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">nb = size(mpc.bus, 1);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slack_bus = find(mpc.bus(:, BUS_TYPE) == REF);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% Ref. slack</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slack = slack_bus;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">noslack = find((1:nb)' ~= slack_bus);</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">[Bbus, Bf, Pbusinj, Pfinj] = makeBdc(mpc);</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">Bbus(slack, :) = []; <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% remove slack row</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">Bbus(:, slack) = []; <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% remove slack col</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""> </o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">for</span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""><span class="Apple-converted-space"> </span>it = 1:numel(exemplary_subSet_slack)</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP = zeros(nb, 1);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% init</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP(slack) = []; <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% remove slack</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> i = exemplary_subSet_slack(it);</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">if</span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""><span class="Apple-converted-space"> </span>i > slack</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> i = i-1;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">end</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP(i) = 1;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dx = Bbus \ dP;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dTheta = zeros(nb, 1);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% init<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dTheta(noslack) = dx;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> H_altern(:,it) = Bf * dTheta;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">end</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""> </o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">" OutmailID: 124396037, List: 'matpower-l', MemberID: 82861091 SCRIPT: "% slack distribution</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slack_weights(1:numel(exemplary_subSet_slack)) = 1/numel(exemplary_subSet_slack);</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">v = H_altern * slack_weights';</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">for</span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""><span class="Apple-converted-space"> </span>k = 1:numel(exemplary_subSet_slack)</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> H_newAndDistributed(:, k) = H_altern(:, k) - v;</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">end</span><span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 8pt; font-family: "Courier New";" class=""><o:p class=""> </o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> With best regards,<o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> Tobias Hoffmann<o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span class=""><o:p class=""> </o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span class=""><o:p class=""> </o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <b class="">Von:</b><span class="Apple-converted-space"> </span><a href="mailto:[email protected]"; style="color: purple; text-decoration: underline;" class="">[email protected]<mailto:[email protected]></a><span class="Apple-converted-space"> </span><<a href="mailto:[email protected]"; style="color: purple; text-decoration: underline;" class="">[email protected]<mailto:[email protected]></a>><span class="Apple-converted-space"> </span><b class="">Im Auftrag von<span class="Apple-converted-space"> </span></b>Marwan Ahmed Alasali<br class=""> <b class="">Gesendet:</b><span class="Apple-converted-space"> </span>Montag, 17.<span class="Apple-converted-space"> </span><span lang="EN-GB" class="">Februar 2020 10:22<br class=""> <b class="">An:</b><span class="Apple-converted-space"> </span>MATPOWER discussion forum <<a href="mailto:[email protected]"; style="color: purple; text-decoration: underline;" class="">[email protected]<mailto:[email protected]></a>><br class=""> <b class="">Cc:</b><span class="Apple-converted-space"> </span><a href="mailto:[email protected]"; style="color: purple; text-decoration: underline;" class="">[email protected]<mailto:[email protected]></a><br class=""> <b class="">Betreff:</b><span class="Apple-converted-space"> </span>Re: alternative to makePTDF for a subset of busses (with distributed slack)<o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""><o:p class=""> </o:p></span></div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Dear all,<o:p class=""></o:p></span></div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""><o:p class=""> </o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">I want data for IEEE30 bus system<o:p class=""></o:p></span></div> </div> </div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""><o:p class=""> </o:p></span></div> <div class=""> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">On Mon, 17 Feb 2020 at 14:49, <</span><a href="mailto:[email protected]"; style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" class="">[email protected]<mailto:[email protected]></span></a><span lang="EN-GB" class="">> wrote:<o:p class=""></o:p></span></div> </div> <blockquote style="border-style: none none none solid; border-left-width: 1pt; border-left-color: rgb(204, 204, 204); padding: 0cm 0cm 0cm 6pt; margin: 5pt 0cm 5pt 4.8pt;" class="" type="cite"> <div class=""> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Dear all,<o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">I would like to calculate the PTDFs of a subset of ~500 nodes for a large network of > 10,000 nodes. Since the whole calculation of the PTDF matrix is very CPU-intensive (as I have already read in<span class="Apple-converted-space"> </span></span><a href="https://github.com/MATPOWER/matpower/issues/37"; target="_blank" style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" class="">https://github.com/MATPOWER/matpower/issues/37</span></a><span lang="EN-GB" class=""><span class="Apple-converted-space"> </span>and _</span><a href="http://[email protected]/msg05580.html"; target="_blank" style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" class="">[email protected]<mailto:[email protected]>/msg05580.html</span></a><span lang="EN-GB" class="">), I tried to orientate myself on this:<span class="Apple-converted-space"> </span></span><a href="https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159"; target="_blank" style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" class="">https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159</span></a><span lang="EN-GB" class="">.<span class="Apple-converted-space"> </span><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Here is my consideration using the example of the test scenario "case30":<span class="Apple-converted-space"> </span><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 7pt;" class=""> </span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">mpc = loadcase(case30);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">mpc = ext2int(mpc);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">" TCL MERGE ERROR ( 02/21/2020 16:35:22 ): "extra characters after close-quote% Referenz PTDF</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% distributed_slack_setNodes = [1, 7, 15, 24];</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">define_constants()</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">mpc = loadcase(case30);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">exemplary_subSet_slack = randi(30,1,5);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">weightSlack = zeros(size(mpc.bus,1),1);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">weightSlack(exemplary_subSet_slack) = 1;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slackForPTDF = weightSlack/numel(exemplary_subSet_slack);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">H_makePTDF = makePTDF(mpc,slackForPTDF);</span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">%,slackForPTDF)%,slack);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">H_makePTDF_rel = H_makePTDF(:,exemplary_subSet_slack);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">" OutmailID: 124396037, List: 'matpower-l', MemberID: 82861091 SCRIPT: "% alternative as in<span class="Apple-converted-space"> </span></span><a href="https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159"; target="_blank" style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">https://github.com/MATPOWER/matpower/issues/37#issuecomment-391459159</span></a><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">nb = size(mpc.bus, 1);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slack_bus = find(mpc.bus(:, BUS_TYPE) == REF);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% Ref. slack</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slack = slack_bus;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">noslack = find((1:nb)' ~= slack_bus);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">[Bbus, Bf, Pbusinj, Pfinj] = makeBdc(mpc);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">Bbus(slack, :) = []; <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% remove slack row</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">Bbus(:, slack) = []; <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% remove slack col</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">for</span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""><span class="Apple-converted-space"> </span>it = 1:numel(exemplary_subSet_slack)</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP = zeros(nb, 1);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% init</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP(slack) = []; <span class="Apple-converted-space"> </span></span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% remove slack</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> i = exemplary_subSet_slack(it);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> tmpDistributed_slack_set = exemplary_subSet_slack;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> tmpDistributed_slack_set(it) = [];</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP(i) = 1;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> j = tmpDistributed_slack_set;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> dP(j) = -1 / numel(j);<span class="Apple-converted-space"> </span></span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span style="font-size: 9pt; font-family: "Courier New";" class="">dx = Bbus \ dP;</span><o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span style="font-size: 9pt; font-family: "Courier New";" class=""> dTheta = zeros(nb, 1);<span class="Apple-converted-space"> </span></span><span style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">% init<span class="Apple-converted-space"> </span></span><o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span style="font-size: 9pt; font-family: "Courier New";" class=""> </span><o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span style="font-size: 9pt; font-family: "Courier New";" class=""> </span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">dTheta(noslack) = dx;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> H_altern(:,it) = Bf * dTheta;</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">end</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: forestgreen;" class="">" TCL MERGE ERROR ( 02/21/2020 16:35:22 ): "extra characters after close-quote% slack distribution</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">slack_weights(1:numel(exemplary_subSet_slack)) = 1/numel(tmpDistributed_slack_set) - 1/numel(exemplary_subSet_slack);</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class="">v = H_altern * slack_weights';</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">for</span><span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""><span class="Apple-converted-space"> </span>k = 1:numel(exemplary_subSet_slack)</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New";" class=""> <span class="Apple-converted-space"> </span></span><span style="font-size: 9pt; font-family: "Courier New";" class="">H_altern_2(:, k) = H_altern(:, k) - v;</span><o:p class=""></o:p></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9pt; font-family: "Courier New"; color: blue;" class="">end</span><span lang="EN-GB" class=""><o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""> <o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Unfortunately, the calculation does not lead to the desired result. I suspect my error in the distribution of the slack, but I am not sure.<o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">I would be very happy about a help. Thanks a lot!<o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""> <o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">With best regards,<o:p class=""></o:p></span></div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">Tobias Hoffman<o:p class=""></o:p></span></div> </div> </div> </blockquote> </div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""><br clear="all" class=""> <o:p class=""></o:p></span></div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class=""><o:p class=""> </o:p></span></div> </div> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" class="">--<span class="Apple-converted-space"> </span><o:p class=""></o:p></span></div> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 12pt;" class=""><o:p class=""> </o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 12pt;" class="">Thanks & Regards<o:p class=""></o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 12pt;" class=""><o:p class=""> </o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <b class=""><span lang="EN-GB" style="font-size: 13.5pt; color: blue; background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">Marwan Ahmed Alasali</span></b><span lang="EN-GB" style="font-size: 12pt;" class=""><o:p class=""></o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9.5pt; color: rgb(136, 136, 136);" class="">Research Scholar</span><span lang="EN-GB" style="font-size: 9.5pt;" class=""><o:p class=""></o:p></span></div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9.5pt; color: rgb(136, 136, 136);" class="">Department of Electrical Engineering,</span><span lang="EN-GB" style="font-size: 9.5pt;" class=""><o:p class=""></o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span lang="EN-GB" style="font-size: 9.5pt; color: rgb(136, 136, 136);" class="">Aligarh Muslim University, Aligarh<br class=""> Contact:+91-9634376962</span><span lang="EN-GB" style="font-size: 9.5pt;" class=""><o:p class=""></o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <a href="mailto:[email protected]"; target="_blank" style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" style="font-size: 9.5pt;" class="">[email protected]<mailto:[email protected]></span></a><span lang="EN-GB" style="font-size: 9.5pt;" class=""><o:p class=""></o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <a href="mailto:[email protected]"; target="_blank" style="color: purple; text-decoration: underline;" class=""><span lang="EN-GB" style="font-size: 9.5pt;" class="">[email protected]<mailto:[email protected]></span></a><span lang="EN-GB" style="font-size: 9.5pt;" class=""><o:p class=""></o:p></span></div> </div> <div class=""> <div style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;" class=""> <span style="font-size: 9.5pt;" class="">skype : </span><span style="font-size: 10.5pt; font-family: Arial, sans-serif; color: rgb(84, 102, 109);" class=""> marwan.alaslay</span></div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </blockquote> </div> <br class=""> </div> </div> </body> </html> --
