Feeders L1 and L2 are both contact lines, the power of Load 3, Load 4 and Load 5 are 0.1 MW, and the capacities of all the micro-sources are indicated in Table 1.
ω i, δ i, P mi, and P ei are rotor speed, rotor angle, mechanical power, and electrical power of generating unit i. Δf j and P j are the bus frequency and active power of load j.
(15)in which, (P_{Vi,t}^{alpha }), (P_{Li,t}^{alpha }), (Q_{Li,t}^{alpha }) is the charging power, active and reactive power of load at node (i), phase (alpha), time (t) respectively.
Also, the sensitivity of the inter-area mode with respect to active power of load buses is employed as criterion for determining the location of load tripping in the sending area.
The proposed system is used to feed real power demand of load along with power quality refinement features such as suppression of harmonics, maintaining grid current at unity power factor and balancing of loads.
With constant terminal voltage, reactive power of loads can be ignored and the polynomial load model [16] can be reduced as a static active power load with frequency dependency: {P}_L={P}_0left(1+{K}_{pf}varDelta fright) (2 where P L is the actual load, P 0 is active power of the load under initial condition, K pf is the load regulation coefficient, and Δf is frequency deviation.
In addition, the capacity of the injected power of EVs is reduced in the most-conservative scenario in comparison with the deterministic model's scenario, while the consumed power of loads and EVs have been increased in this scenario.
These typical daily scenarios preserve the chronological sequence of power outputs of REGs and power consumptions of load, which allows representing eventual chronological aspects related to ESS scheduling [23].
Phase angles, active power, voltage magnitudes of load buses, reactive power of PV buses are considered as security constraints for MLL problem.
