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Viet Thanh et al. / IJOCTA, Vol.15, No.4, pp.625-648 (2025)
            other swarm algorithms, the ABC method can be-          Circular No. 25/2016/TT-BCT, dated No-
            come trapped in local optima rather than finding        vember 30, 2016, from the Ministry of In-
            the global optimum, leading to suboptimal BESS          dustry and Trade of Vietnam, regulating
            sizing. Additionally, the algorithm is highly sen-      transmission power systems.
            sitive to input parameters, and incorrect adjust-     The remainder of this paper is organized as
            ments can adversely affect the optimization re-   follows: Section 2 presents the theoretical foun-
            sults. Alsharif et al. 25  proposed an alternative  dation of the problem and the basis for devel-
            method for determining the size and placement     oping the proposed method. Section 3 outlines
            of the BESS to maintain frequency stability in re-  the details of the proposed control strategy for
            lation to system generation and demand was pro-   the BESS. Section 4 provides an analysis and in-
            posed. However, this method assumes the inter-    terpretation of the simulation results for the test
            nal resistance of the BESS and batteries to be    systems used. Finally, Section 5 provides the con-
            constant, whereas, in reality, these parameters   clusion of this paper.
            vary with SOC and temperature. Furthermore,
            the method is only applicable to the IEEE 39-bus  2. Formulation of the problem
            grid.
                As discussed in some related works above,     Figure 2 shows the generalized load frequency
            the impact of uncertainties related to generation  control for the power system in which the RESs
            output, load, and intermittent generation sources  and BESS are connected. The parameters are de-
            has been considered. BESS devices are proposed    noted as mathematical symbols and defined as fol-
                                                                       is the generating power of the ith gener-
            to improve frequency stability; however, exist-   lows: P G i P
            ing approaches mainly focus on determining op-    ator G n ,  P L is the sum of load power, P BESS is
                                                                                P
            timal location and capacity. This article intro-  the BESS power,      H is the sum of the iner-
            duces a new algorithm that utilizes voltage mag-  tia constant of all rotating machines, including
            nitude and phase set points through control loops,  wind turbines, f ref is the reference frequency, f s
            including frequency, voltage, reactive and active  is the system frequency, D i is the nth droop coef-
            powers, charge, and d- and q-axes current con-    ficient of the ith generation system G i , H BESS is
            trollers for the BESS. The proposed method im-    the droop coefficient of the BESS, and P wind+PV
            proves frequency stability and controls the power  is the sum of the generated power of all RESs,
            flow on inter-domain transmission lines under var-  including the generated sources of wind and PV,
                                                                                             26,27
            ious conditions and adverse situations in the grid  and can be determined as follows  in Equation
            by integrating multiple RESs. From the authors’   (1):
            perspective, this issue has not been fully ad-
                                                                                  1
            dressed in the literature. The main contributions        P wind+PV = ρA w v C p + ηA PV G
                                                                                        3
            of this method are summarized as follows.                             2           | {z }      (1)
                                                                                 |    {z   }
                                                                                                P P V
               (i) A detailed analysis of the impact of BESS                        P wind
                  in supporting frequency regulation in power  where P wind is the wind power, P PV is the solar
                  systems with a high penetration rate of     power, ρ is the air density, v is the wind speed, A w
                  RESs.                                       is the swept area of the blades, C p is the power
              (ii) Modeling the BESS as a storage system      coefficient, η is the efficiency of the solar panel,
                  with a direct current (DC)/alternating cur-  A PV is the area of the solar panel, and G is the
                  rent (AC) converter that can replace the    solar irradiance.
                  existing synchronous generators to accom-       The impact of RESs on the power system fre-
                  modate the increasing penetration of wind   quency refers to the effects that variable RESs,
                  and PV units.                               such as wind and solar power, can have on the bal-
              (iii) Proposing the BESS system to provide pri-  ance between power generation and consumption
                  mary frequency control by supplying stored  in an electrical grid. When the power output from
                  power to the grid during disturbances (such  RESs fluctuates, it can cause variations in the grid
                  as cloud cover, generator tripping, or power  frequency. This is because RESs like wind and so-
                  output shortages), while also acting as a   lar power are intermittent and variable, meaning
                  secondary frequency controller by absorb-   their output can change rapidly due to changes
                  ing excess power to reduce grid frequency   in weather conditions. The impact of RESs on
                  and restore its initial energy level.       power system frequency can be significant, par-
              (iv) Proposing a solution to use BESS equip-    ticularly if the grid is not designed to handle the
                  ment to improve frequency stability and en-  variability of these sources. This impact can be
                  sure compliance with the conditions set by  assessed as follows in Equation (2).
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