Page 309 - Decision Making Applications in Modern Power Systems
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270  Decision Making Applications in Modern Power Systems


            ΔP sch     the scheduled power flow through tie-lines
               tie;ij
            ΔP act     the actual power flow through tie-lines
               tie;ij
                       incremental change in tie-line power (p.u.)
            ΔP Tie,ij
                       load power change
            ΔP L
                       mechanical power (p.u.)
            ΔP m
            R          governor speed regulation parameter (Hz/p.u. MW)
            R i up;t ; R i down;t  the probabilistically worst case up down spinning reserves
            R  i t     the power correction term
            ST         settling time (s)
            t          time (s)
            T g        governor time constant (s)
            T ij       synchronizing coefficient of tie-line (p.u.)
            T ps       power system time constant (s)
            T R        reheat system time constant (s)
            T t        turbine time constant (s)
            t sim      simulation time (s)
            u c;i      the control signal
            λ          the integral order
            μ          the derivative order
            ϒ          a set of the indices corresponding to outages of all components
                       the set of branch outage index
            ϒ l
            ϒ L        the set of load outage index
            ϒ G        the set of generators outage index
            AGC        automatic generation control
            AVR        automatic voltage regulator
            FOPID      fractional-order PID
            hGSA-PS    hybrid gravitational search and pattern search algorithm
            ICA        imperialist competitive algorithm
            LFC        load-frequency control
            OPF        optimal power flow
            PID        proportional integral derivative
            RERs       renewable energy resources
            SCADA      supervisory control and data acquisition
            SC-OPF     security-constrained optimal power flow
            TSO        transmission system operator
            WAMS       wide-area measurement system
            WDO        wind driven optimization

            11.1 Introduction

            A large modern power system under deregulation consists of several inter-
            connected control areas, where each one is responsible for supplying its
            loads and keeping the scheduled power interchanges with its neighbor areas.
            These responsibilities gradually become more difficult when moving toward
            smart grid and deregulation concepts. Load-frequency control (LFC) is a
            technique adopted in the power system control center to guarantee the bal-
            ance between generation and demand and consequently to maintain the
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