## 4 Conclusions
These aspects will be tested using an extension of the test network, from the considered zone of the transmission and distribution system containing more buses, and will be analyzed to verify the effectiveness of the SQP-CC methodology based on the improved OPF model. The following supporting information can be downloaded at [[https://www.mdpi.com/article/10.3390/app12031129/sl](https://www.mdpi.com/article/10.3390/app12031129/sl)]([https://www.mdpi.com/article/10.3390/app12031129/sl](https://www.mdpi.com/article/10.3390/app12031129/sl)). File Network Data. xlsx; File Power Profiles. xlsx. **Author Contributions:** Conceptualization, G.G. ; methodology, G.G., B.-C.N. and O.I. ; software, G.G. ; validation, B.L., B.-C.N., F.S. and O.I. ; formal analysis, B.-C.N., O.I., B.L. and F.S. ; investigation, G.G., B.-C.N., F.S., B.L. and O.I. ; writing--original draft preparation, G.G., B.-C.N., F.S. and O.I. ; writing--review and editing, G.G., O.I. and B.-C.N. ; and supervision, G.G. All authors have read and agreed to the published version of the manuscript. **Funding:** This research received no external funding. **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Not applicable. **Conflicts of Interest:** The authors declare no conflict of interest. **Nomenclature and Indices**  
OPF Optimal power flow  
DNO Distribution Network Operator  
TSO Transmission System Operator  
SQP Successive quadratic programming  
RG Reduced Gradient  
CC Centralized control  
SCADA Supervisory Control and Data Acquisition  
EU European Union  
NECP National Energy and Climate Plan  
DM Decision-Maker  
OLTC On-load tap changers  
RTU Remote terminal unit  
CDC Central data concentrator  
AVC Automatic voltage control  
IEEE Institute of Electrical and Electronics Engineers  
DC Direct Current  
_VA_ structure vector recording records areas of the electric network  
_VE_ structure vector containing elements (electric line/power transformer  
from each area recorded in the vector VA  
SB slack bus  
\(N_{w}\) the set of wind generator buses in the network  
\(N\) the set of all buses in the network  
\(E\) the total number of the elements (lines and transformers) in the networks  
\(s\) index for the slack bus  
\(N_{g}\) the set of conventional generator buses in the network  
\(G_{e}\) the real part of element \(e\) between the \(i\)-th bus and \(j\)-th bus from  
the nodal admittance matrix  
\(T_{H}\) the analyzed time period  
\(V_{Uh}\) the voltage magnitude at the \(i\)-th bus and hour \(h\), in (kV)  
\(V_{jh}\) the voltage magnitude at the \(j\)-th bus and hour \(h\), in (kV)  
\(G_{\bar{g}}\) the real part of element ij from nodal admittance matrix  
\(B_{\bar{g}}\) the imaginary part of element \(ij\) from nodal admittance matrix  
\(P_{G\bar{g},h^{\prime}},Q_{G\bar{g}h}\) the active and reactive powers generated at the \(i\)-th bus and hour \(h\), in (\(M\)W) and (MVAr)  
the active and reactive powers required at the \(i\)-th bus and hour \(h\), in (\(M\)W) and (MVAr)  
the tap position of the transformer connected between the \(i\)-th bus and \(j\)-th bus and hour \(h\)  
the maximum load of the line connected between the \(i\)-th bus and \(j\)-th bus, in (MVA)  
the active power limits of the \(l\)-th conventional power plant, in (\(M\)W)  
the reactive power limits of the \(l\)-th conventional power plant, in (MVAr)  
the active power of the \(w\)-th wind farm, in (\(M\)W)  
the optimization vector  
objective function  
the equality restriction \(i,i=1,\ldots,p\)  
the number of the active equality restrictions