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Table 1 Notation

From: Tractable lithium-ion storage models for optimizing energy systems

Name

Description

Unit

P(k)

Power applied to battery in time slot k

W

I(k)

Current estimate for time slot k

A

V(k)

Battery voltage estimate for time slot k

V

b(k)

Battery energy content estimate at the end of time slot k

Wh

a1(a2)

Minimum (maximum) cell energy content

Wh

αc(αd)

Charge (discharge) current limits per unit of storage

A/Wh

ηc(ηd)

Charge (discharge) inefficiency

 

M

Voltage function that uses energy content and current as input

V

n

Number of cells that compose the battery

 

Ric(Rid)

Internal cell impedance during charging (discharging)

Ω

T u

Time slot duration

h