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<p class="MsoNormal">Dear reader,<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><span lang="EN-US">I am programming a topology optimization for a meshed power system. The problem is a Mixed Integer Non Convex Quadratic Constraint Problem and to solve this I am using Couenne as a solver in AMPL. The solution to the
problem allows several options of adjusting the topology. Certain topology adjustments could lead to an infeasible solution, in that case another topology adjustment should be tried. If I try to solve the problem using a topology adjustment that leads to an
infeasible solution I get the following output in AMPL:<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">Couenne 0.4.7 -- an Open-Source solver for Mixed Integer Nonlinear Optimization</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">Mailing list: couenne@list.coin-or.org</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">Instructions: http://www.coin-or.org/Couenne</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">couenne:
</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">ANALYSIS TEST: Couenne: Warning, tightened NLP is infeasible</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">problem infeasible</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">Error at _cmdno 308 executing "solve" command</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><u><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:#0066CC">(file TOPOP.run, line 96, offset 3162)</span></u><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">:</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">can't open C:\Users\tvanacke\AppData\Local\Temp\at1988.sol</span><span lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">And after this error, the program is interrupted (after the solve; line), which it should not do. In a correct situation it should move on to another topology switching possibility (mode), as can be seen in the code.
Is there any way to address this problem so the optimization can be continued?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:#7F0055">repeat</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:#7F0055">if</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">(mode</span> <span style="color:black">==</span> <span style="color:black">
3</span> <b><span style="color:#7F0055">and</span></b> <span style="color:black">
submode</span> <span style="color:black">></span> <span style="color:black">2)</span>
<b><span style="color:#7F0055">then</span></b> <span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">drop</span></b> <span style="color:black">{g</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">G}</span>
<span style="color:black">GBC[g];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">restore</span></b> <span style="color:black">{g</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">G}</span>
<span style="color:black">GBO[g];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">option</span></b>
<span style="color:black">solver</span> <span style="color:#2A00FF">couenne</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">option</span></b>
<span style="color:black">lp_solver</span> <span style="color:#2A00FF">cplex</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">solve</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">mode</span> <span style="color:black">:=</span> <span style="color:black">
4;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">if</span></b> <span style="color:black">solve_result_num</span>
<span style="color:black"><</span> <span style="color:black">100</span>
<b><span style="color:#7F0055">then</span></b> <span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">submode</span> <span style="color:black">:=</span> <span style="color:black">
999;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">print</span></b>
<span style="color:#2A00FF">'------------------------------------SUBOPTIMAL SOLUTION FOUND-------------------------------------'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">display</span></b>
<span style="color:black">Isc;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">display</span></b>
<span style="color:black">D;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">display</span></b>
<span style="color:black">OBJ2;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">print</span></b>
<span style="color:#2A00FF">'--------------------------------------------------------------------------------------------------'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">}</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">}</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:#7F0055">if</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">(mode</span> <span style="color:black">==</span> <span style="color:black">
2</span> <b><span style="color:#7F0055">and</span></b> <span style="color:black">
submode</span> <span style="color:black">></span> <span style="color:black">1)</span>
<b><span style="color:#7F0055">then</span></b> <span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">drop</span></b> <span style="color:black">{bi</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">BI}</span>
<span style="color:black">BIBC[bi];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">drop</span></b> <span style="color:black">{bo</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">BO}</span>
<span style="color:black">BOBC[bo];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">restore</span></b> <span style="color:black">{bi</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">BI}</span>
<span style="color:black">BIBO[bi];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">restore</span></b> <span style="color:black">{bo</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">BO}</span>
<span style="color:black">BOBO[bo];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">option</span></b>
<span style="color:black">solver</span> <span style="color:#2A00FF">couenne</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">option</span></b>
<span style="color:black">lp_solver</span> <span style="color:#2A00FF">cplex</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">solve</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">mode</span> <span style="color:black">:=</span> <span style="color:black">
3;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">if</span></b> <span style="color:black">solve_result_num</span>
<span style="color:black"><</span> <span style="color:black">100</span>
<b><span style="color:#7F0055">then</span></b> <span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">mode</span> <span style="color:black">:=</span> <span style="color:black">
4;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">submode</span> <span style="color:black">:=</span> <span style="color:black">
999;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">print</span></b>
<span style="color:#2A00FF">'------------------------------------SUBOPTIMAL SOLUTION FOUND-------------------------------------'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">display</span></b>
<span style="color:black">Isc;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">display</span></b>
<span style="color:black">D;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">display</span></b>
<span style="color:black">OBJ2;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">print</span></b>
<span style="color:#2A00FF">'--------------------------------------------------------------------------------------------------'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">}</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">}</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:#7F0055">if</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">mode</span> <span style="color:black">==</span> <span style="color:black">
1</span> <b><span style="color:#7F0055">then</span></b>
<span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">restore</span></b> <span style="color:black">{g</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">G}</span>
<span style="color:black">GBC[g];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">restore</span></b> <span style="color:black">{bi</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">BI}</span>
<span style="color:black">BIBC[bi];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">restore</span></b> <span style="color:black">{bo</span>
<b><span style="color:#7F0055">in</span></b> <span style="color:black">BO}</span>
<span style="color:black">BOBC[bo];</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">option</span></b>
<span style="color:black">solver</span> <span style="color:#2A00FF">couenne</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">option</span></b>
<span style="color:black">lp_solver</span> <span style="color:#2A00FF">cplex</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">solve</span></b><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">mode</span> <span style="color:black">:=</span> <span style="color:black">
2;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">if</span></b> <span style="color:black">solve_result_num</span>
<span style="color:black"><</span> <span style="color:black">100</span>
<b><span style="color:#7F0055">then</span></b> <span style="color:black">{</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">let</span></b>
<span style="color:black">submode</span> <span style="color:black">:=</span> <span style="color:black">
999;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<b><span style="color:#7F0055">print</span></b>
<span style="color:#2A00FF">'--------------------------------------OPTIMAL SOLUTION FOUND--------------------------------------'</span><span style="color:black">;</span><o:p></o:p></span></p>
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<b><span style="color:#7F0055">display</span></b>
<span style="color:black">Isc;</span><o:p></o:p></span></p>
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<b><span style="color:#7F0055">display</span></b>
<span style="color:black">D;</span><o:p></o:p></span></p>
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<b><span style="color:#7F0055">display</span></b>
<span style="color:black">OBJ2;</span><o:p></o:p></span></p>
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<b><span style="color:#7F0055">print</span></b>
<span style="color:#2A00FF">'--------------------------------------------------------------------------------------------------'</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">}</span><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">}</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<o:p></o:p></span></p>
<p class="MsoNormal" style="text-autospace:none"><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:black">}</span><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas"><o:p></o:p></span></p>
<p class="MsoNormal"><b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas;color:#7F0055">while</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:Consolas">
<span style="color:black">mode</span> <span style="color:black"><</span> <span style="color:black">
4;</span></span><span lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:NL-BE">With kind regards,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:NL-BE"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:NL-BE">Tom Van Acker<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:NL-BE">--<br>
Tom Van Acker<br>
Researcher – University of Leuven (KU Leuven)<br>
Department Electrical Engineering (ESAT) - Research group Electrical Energy (ELECTA)<br>
Kasteelpark Arenberg 10 – 3001 Heverlee – Belgium<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="mso-fareast-language:NL-BE">WORK: +32 16 37 93 06
<br>
GSM: +32 (0)478 771 361 (mobile)<br>
Email: <a href="mailto:Tom.VanAcker@esat.kuleuven.be"><span style="color:#0563C1">Tom.VanAcker@esat.kuleuven.be</span></a><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
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