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394  Decision Making Applications in Modern Power Systems


            Therefore it required large size of PV plant and BB to provide the uninter-
            rupted power supply, which is the cause of highest capital cost.
               In the case of DC distribution system including DC appliances (DCDSD)
            the high-efficient appliances are used as well as the conversion staged at the
            source as well as load end has been removed [15,16]. Therefore the energy
            demand for DCDSD is smaller as compared to ACDSA and AC distribution
            system including DC appliances. The small size of PV plant and the BB is
            sufficient with DCDSD. In the case of DCDSD DSM the DSM scheme
            shifts the operating time of the deferrable appliances that help to reduce the
            charging and discharging of the BB and save the energy loss in the BB. In
            this way, there is a further improvement in the system efficiency. Therefore
            a small amount of AH and PV Watt-hours per day is needed, which is the
            cause of less numbness (i.e., size of ES) of the battery and PV modules to
            supply the uninterrupted power supply to the building. The capital cost of
            the DCDSD DSM system is the smallest in comparison to other three cases
            because it depends on the size of PV plant and BB.


            15.3 State of charge of battery bank
            In general the SOC of the battery is the ratio of its present capacity (μ(t)) to
            the nominal capacity (μ n ) of the battery [17]. The SOC can be defined as
                                             μðtÞ
                                       ψðtÞ 5                         ð15:6Þ
                                              μ n
               The Coulomb counting method measures the charging/discharging current
            of a battery and integrates it over time in order to estimate SOC [16,17]. The
            SOC can be calculated as
                                                 iðtÞ
                                  ψðtÞ 5 ψðt 2 1Þ 1  Δt               ð15:7Þ
                                                 μ n
            where ψ(t) and ψ(t 2 1) are the SOC of the battery at time instant t and
            t 2 1, i(t) is the battery current at time instant t, and Δt is the time interval
            (considered 1 minute).

            15.4 Autonomous DC microgrid

            The conceptual diagram, hardware of the experimental setup, and control
            and monitoring unit of the DC microgrid for the building are discussed in
            this section.

            15.4.1 Conceptual diagram of DC microgrid

            The conceptual layout of the prototype autonomous DC microgrid of the res-
            idential building is shown in Fig. 15.1. Two solar charge controllers (SCCs)
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