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Department of Electrical Engineering, R H S C O E M S R, Nashik

Gokhale Education Society’s

R. H. Sapat College of Engineering, Management Studies

And Research. Nashik-422005

Department of Electrical Engineering

LABORATORY

MANUAL CUM

JOURNAL

PRACTICAL: POWER SYSTEM OPERATION AND CONTROL

TITLE: To apply equal area criteria for stability analysis under sudden rise in

mechanical power

EXPERIMENT NO. : 01 ISSUE NO:02 ISSUE DATE:15/06/2019

REV. DATE : REV. NO. : 02 DEPT. :ELECTRICAL ENGINEERING

LABORATORY : SOFTWARE LAB SEMESTER:VIII PAGE:19

Department of Electrical Engineering, R H S C O E M S R, Nashik

Department of Electrical Engineering, R H S C O E M S R, Nashik

2𝑑𝛿

𝑑𝑡

𝑑

𝑑𝑡 𝑑𝛿

𝑑𝑡

2

𝑑𝛿

𝑑𝑡

𝑑𝛿

𝑑𝑡

Department of Electrical Engineering, R H S C O E M S R, Nashik

𝑃𝑚1 − 𝑃𝑒 𝑑𝛿 = 𝑎𝑟𝑒𝑎 𝑎𝑏𝑐 = 𝑎𝑟𝑒𝑎 𝐴1

𝛿1

𝛿0

𝑃𝑚1 − 𝑃𝑒 𝑑𝛿 = 𝑎𝑟𝑒𝑎 𝑏𝑑𝑒 = 𝑎𝑟𝑒𝑎 𝐴2

𝛿𝑚𝑎𝑥

𝛿1

Department of Electrical Engineering, R H S C O E M S R, Nashik

Department of Electrical Engineering, R H S C O E M S R, Nashik

𝑃𝑚 𝛿1 − 𝛿0 − 𝑃𝑚𝑎𝑥 𝑠𝑖𝑛𝛿𝑑𝛿 = 𝑃𝑚𝑎𝑥 𝑠𝑖𝑛𝛿𝑑𝛿 − 𝑃𝑚 𝛿𝑚𝑎𝑥 − 𝛿1 𝛿𝑚𝑎𝑥

𝛿1

𝛿1

𝛿0

𝑃𝑚 𝛿𝑚𝑎𝑥 − 𝛿0 = 𝑃𝑚𝑎𝑥 (𝑐𝑜𝑠𝛿0 − 𝑐𝑜𝑠𝛿𝑚𝑎𝑥 )

𝑃𝑚 = 𝑃𝑚𝑎𝑥 𝑠𝑖𝑛𝛿𝑚𝑎𝑥

𝑠𝑖𝑛𝛿𝑚𝑎𝑥 𝛿𝑚𝑎𝑥 − 𝛿0 + 𝑐𝑜𝑠𝛿𝑚𝑎𝑥 = 𝑐𝑜𝑠𝛿0

Department of Electrical Engineering, R H S C O E M S R, Nashik

𝑓 𝑥 = 𝑐𝑜𝑠𝛿0 − 𝑐𝑜𝑠𝛿𝑚𝑎𝑥 − 𝑠𝑖𝑛𝛿𝑚𝑎𝑥 𝛿𝑚𝑎𝑥 − 𝛿0

𝑓′ 𝑥 = 𝑐𝑜𝑠𝛿𝑚𝑎𝑥 𝛿0 − 𝛿𝑚𝑎𝑥

−𝑓(𝑥)

𝑓 ′ (𝑥)

Department of Electrical Engineering, R H S C O E M S R, Nashik

Department of Electrical Engineering, R H S C O E M S R, Nashik

Department of Electrical Engineering, R H S C O E M S R, Nashik

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