Abstract
Encouraged by the increasing electric energy consumption, the distributed generation has been widely included in the electrical power system. However, renewable energy resources have intermittent characteristics. When the distributed generation is high at certain times of the day, the energy generation at distribution systems can become higher than the required power. The surplus energy is returned to the transmission system, giving rise to active distribution networks. This paper proposes an approach to optimally managing the existing distributed generation and voltage control devices. The management is performed by solving an optimal power flow problem, aiming to find an operating condition for the system in which the losses are minimized, and the voltage profiles are improved. A combined transmission and distribution system is proposed. Some scenarios are considered to assess the impact of distributed generation insertion and the contribution of these sources in support of reactive power. The results indicate the need for adequate active distribution networks management, which depends on the distribution generation insertion level and the generation sources’ power factor.
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Abbreviations
- \(\varOmega \)::
-
Set of circuits under analysis;
- \(\beta _i\)::
-
Set of generators connected to bus i;
- \(\nabla _i\)::
-
Set of loads connected to bus i;
- \(\varLambda _i\)::
-
Set of buses directly connected to bus i;
- \(\gamma _i\)::
-
Set of shunt elements connected to bus i;
- i, j::
-
System buses;
- G::
-
Generator number;
- T::
-
OLTC (on-load tap charger) number;
- L::
-
Load number;
- C::
-
Shunt element number;
- \(g_{ij}, b_{ij}\)::
-
Series conductance and susceptance between buses i and j;
- \(b_{ij}^{\,\mathrm sh}\)::
-
Shunt susceptance between buses i and j;
- \(a_{ij}\)::
-
Tap ratio of the transformer between buses i and j;
- \(\varphi _{ij}\)::
-
Phase shift of the transformer between buses i and j;
- \(V^{\, \mathrm{min}}_i, V^{\, \mathrm max}_i\)::
-
Minimum and maximum voltage limits of bus i;
- \(P^{\, \mathrm{min}}_G, P^{\, \mathrm max}_G\)::
-
Minimum and maximum active power limits of generator G;
- \(Q^{\, \mathrm{min}}_G, Q^{\, \mathrm max}_G\)::
-
Minimum and maximum reactive power limits of generator G;
- \(a^{\, \mathrm{min}}_T, a^{\, \mathrm max}_T\)::
-
Minimum and maximum tap ratio of OLTC T;
- \(P_L\)::
-
Active power demand of load L;
- \(Q_L\)::
-
Reactive power demand of load L;
- \(Q^{\, \mathrm sh}_C\)::
-
Reactive power injection from shunt elements C.
- \(P_\mathrm{loss}\)::
-
Total active system losses;
- \(P_{ij}\)::
-
Active power flow from bus i to j;
- \(P_{ji}\)::
-
Active power flow from bus j to i;
- \(Q_{ij}\)::
-
Reactive power flow from bus i to j;
- \(V_i\angle \theta _i\), \(V_j\angle \theta _j\)::
-
Magnitude and angle of the voltage at bus i and j, respectively;
- \(P_G\)::
-
Active power from generator G;
- \(Q_G\)::
-
Reactive power from generator G.
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Marujo, D., Zanatta, G.L. & Floréz, H.A.R. Optimal management of electrical power systems for losses reduction in the presence of active distribution networks. Electr Eng 103, 1725–1736 (2021). https://doi.org/10.1007/s00202-020-01182-5
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DOI: https://doi.org/10.1007/s00202-020-01182-5