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Making Electric Power Grids Resilient and Secure, Green Tech, Page 52

Making Electric Power Grids Resilient and Secure

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Relevant equations
• PQ node (typical load node):
n n
Pk  Vk  Vm (Gkm cos  km  Bkm sin  km ) Qk  Vk  Vm (Gkm sin  km  Bkm cos  km )
m 1 m 1


• PV node (typical generator node) has same P 
equation and trivial V equation
• Line Flow Equations
Pij  GijVi 2  ViV j (Gij cos  ij  Bij sin  ij )
Qij   BijVi 2  VV j (Gij sin ij  Bij cos ij )  Vi 2 Bcap
i ij



- In our case, each bus has six measurements so we 
write 6 equations

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