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Power System Frequency Control Using Simplified Models
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Added on 2020-05-08
Power System Frequency Control Using Simplified Models
Added on 2020-05-08
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POWER SYSTEM FREQUENCY CONTROL USING SIMPLIFIED MODELS.BY (STUDENT NAME)CLASS (COURSE) NAME:TUTOR (PROFESSOR):SCHOOL NAME:THE CITY/STATE:DATE:
Table of ContentsIntroduction........................................................................................................................3Answers to given questions...............................................................................................4Part a) Equation of motion..............................................................................................4Part b) System-frequency response without frequency-control.....................................6Part c) Compare the simulated response with mathematically derived response.........7Part d) Addition of governors to synchronous generators.............................................8Part e): System-frequency response with primary frequency control..........................11Part f) factors influencing system frequency response................................................13Conclusion.......................................................................................................................14
Introduction.The aim of this assignment is to investigate how a system frequency control system performs as the mix of generation sources are varied. The performance for different proportions of synchronous and asynchronous generation is performed, to how the frequency control systems performs for different proportions of generation with frequency control using total onlinegeneration capacity Sb[MW]The total online generation capacity is divided into two (2) which include the online synchronous Ssb and online non-synchronous Sabgeneration capacity. Thus, total online generation is given by:Sb=Ssb+SabWhere Ssb=αbSbandSab=(1−αb)Sb, given that αbis the specified proportion of the total online generation capacity which is synchronous.Ssb is divided into the proportion of online synchronous generation capacity with primary governing control Sspb=αspbSsb and the balance of online synchronous generation capacity is ungoverned S¿=1−αspb, therefore:. Ssb=Sspb+S¿. In this assignment the system is assumed to be ungoverned.The initial power output from each of the generation sources is specified where the initialsystem load is determined. The initial power output from the online synchronous generation withprimary speed control is specified as a fraction βsb of the specified online capacitySspb. The initialpower output as pu (per unit) is given as:Pmsp0=βsp(SspbSb)=βsp(αspbSsbSb)=βsp(αspbαb)∈puofSbThe other types of generation as pu are given as:Pmsu0=βsu(1−αspb)αbPmau0=βau(1−αb)
Where the initial power output from the synchronous generation sources is Pms0=Pmsu0+Pmau0and from the asynchronous generation sources isPma0=Pmau0, thus, the total output generation sources are Pm0=Pms0+Pma0. Therefore, to define the initial steady-state operating point of the system it is required to specify βsp,βau∧βsuThe inertia constant of online synchronous generation limits the rate of change of frequency, and it is converted to pu as: H=Hs(SsbSb)=αbHsThe system load is linearly dependent on the system-frequency perturbation as: Pl(f)=Pl0(1+D∆f)Where Pl0the initial steady-state value of the load f=f0(1+∆f)is the system frequency, ∆fis per-unit system-frequency perturbation and f0=50Hzis the nominal frequency of the systemAnswers to given questionsPart a) Equation of motionGiven the equivalent generator for system load / frequency analysis in figure 1 (a) below:Figure 1 (a): equivalent generator for system load / frequency analysis
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