## Abbreviations
\begin{tabular}{l l} \(P_{qqn}\) & The aggregate power consumption of the DG branch (W) \\ \(P_{IN}\) & Power consumed by _ith_ load when its voltage equals to the nominal (W) \\ \(P_{Li}\) & Network active loads power (W) \\ \(P_{Rs}\) & The power consumption within the \(R_{s}\) branch (W) \\ \(P_{s1}\) & Sum meter power before power step d\(P_{c}\) with random noise and \\  & resolution (W) \\ \(P_{s2}\) & Sum meter power after power step \(dP_{c}\) with random noise and \\  & resolution (W) \\ \(P_{ui}\) & The power consumption within the _ith_ energy delivery branch (W) \\ \(R_{eq}\) & The equivalent resistance (\(\Omega\)) \\ \(\overline{R_{eq}}\) & Mean value of the equivalent resistance (\(\Omega\)) \\ \(R_{s}\) & Wire resistance between sum meter and first line's (cable's) segment (\(\Omega\)) \\ \(R_{T}\) & Wire resistance between transformer and sum meter (\(\Omega\)) \\ \(R_{wi}\) & Wire resistance of the _ith_ line's (cable's) segment (\(\Omega\)) \\ \(R_{ussum}\) & Sum of wire resistances of the _ith_ line's (cable's) segment between sum meter and consumer meter (\(\Omega\)) \\ res & Resolution of the current reading \\ \(r_{I}\) & Random components of relative percentage gain errors of current (\(\%\)) \\ \(r_{P}\) & Random components of relative percentage gain errors of power (\(\%\)) \\ \(r_{V}\) & Random components of relative percentage gain errors of voltage (\(\%\)) \\ \(S_{IV}\) & The minimization task \\ \(V\) & Voltage with added error (V) \\ \(V_{0}\) & Error-free values of the voltage obtained during synthesis (V) \\ \(V_{c1}\) & Consumer meter voltage before power step \(dP_{c}\) with random noise and \\  & systematic gain errors, and resolution (V) \\ \(V_{c2}\) & Consumer meter voltage after power step \(dP_{c}\) with random noise and \\  & systematic gain errors, and resolution (V) \\ \(V_{i}\) & Nominal voltage (V) \\ \(V_{i1}\) & Actual voltages of the nodes where it load is connected, correspondingly, \\  & before power step \(dP_{c}\) (V) \\ \(V_{i2}\) & Actual voltages of the nodes where it load is connected, correspondingly, \\  & after power step \(dP_{c}\) (V) \\ \(V_{N}\), \(a_{i}\), \(b_{i}\), \(c_{i}\) & The coefficients representing the constant power, constant current, and \\  & constant impedance components of the ZIP load model \\ \(V_{s1}\) & Sum meter voltage before power step \(dP_{c}\) with random noise and \\  & resolution (V) \\ \(V_{s2}\) & Sum meter voltage after power step \(dP_{c}\) with random noise and \\  & resolution (V) \\ \(\gamma_{I}\) & Relative systematic gain error of current \\ \(\hat{\gamma_{I}}\) & Predicted relative systematic gain error of current \\ \(\gamma_{V}\) & Relative systematic gain error of voltage \\ \(\hat{\gamma_{P}}\) & Predicted relative systematic gain error of power \\ \(\hat{\gamma_{V}}\) & Predicted relative systematic gain error of voltage \\ \(\Delta\Big{(}\overline{dP_{n}}\Big{)}\) & The absolute error between predicted and real \(\overline{dP_{n}}\) (W) \\ \(\Delta(d\hat{P}_{n})\) & The absolute error between predicted and real \(dP_{nL}\) (W) \\ \(\Delta(e_{V})\) & Estimation error of the systematic gain error for voltage (\(\%\)) \\ \(\delta_{I}\) & Relative random gain error of current \\ \(\delta_{V}\) & Relative random gain error of voltage \\ \(\sigma\Big{(}e(\overline{R_{eq}})\Big{)}\) & The standard deviation of estimation error mean of \(R_{eq}\) (\(\%\)) \\ \(\sigma(\overline{\Delta(eV)})\) & Standard deviation of mean of estimation error of the systematic gain \\  & error for voltage (\(\%\)) \\ \(\sigma(\Delta(dP_{n}))\) & Standard deviation of absolute error of d\(P_{n}\) (W) \\ \end{tabular}