## Abbreviations  
The following abbreviations are used in this manuscript:  
_Acronyms_  
AC Alternating Current  
B&B Branch and Bound  
DC Direct Current  
DG Distributed Generator  
NLP Nonlinear Programming  
MINLP Mixed-Integer NLP  
CVX Matlab Software for Disciplined Convex Programming  
GAMS General Algebraic Modeling System  
OPF Optimal Power Flow  
SDP Semidefinite Programming  
_Sets and subscripts_  
\(\mathcal{L}\) Set of lines  
\(\mathcal{N}\) Set of nodes  
\(d\) Demand  
\(gd\) Distributed source  
\(s\) Slack node  
\(i\) or \(j\) Node  
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