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Handbook of Energy Storage for Transmission or ... - W2agz.com

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EPRI Proprietary Licensed Material<br />

The second <strong>com</strong>ponent <strong>of</strong> the coil system is the cryogenic enclosure <strong>or</strong> cryostat. Details <strong>of</strong> the<br />

cryostat depend on several design choices. However, the driving <strong>f<strong>or</strong></strong>ce in the cryostat design is<br />

the need to maintain a coil operating temperature near absolute zero and to reduce heat flow via<br />

conduction, convection and radiation from ambient temperature to the coil. The cryostat is<br />

usually a double-walled system with vacuum separating the two vessels.<br />

The magnetic field produced during charging produces a <strong>f<strong>or</strong></strong>ce on the coil. This <strong>f<strong>or</strong></strong>ce must be<br />

resisted by a mechanical structure. This is the third <strong>com</strong>ponent in the cost coil <strong>com</strong>ponent. In<br />

small coils, such as those <strong>f<strong>or</strong></strong> D-SMES and <strong>f<strong>or</strong></strong> PQ applications, the strength <strong>of</strong> the<br />

superconducting wire is sufficient to withstand this <strong>f<strong>or</strong></strong>ce. As the size <strong>of</strong> the coil increases, the<br />

total outward <strong>f<strong>or</strong></strong>ce on the conduct<strong>or</strong> be<strong>com</strong>es large enough that additional structure is required.<br />

This material can be estimated based on the amount <strong>of</strong> st<strong>or</strong>ed energy <strong>f<strong>or</strong></strong> large systems, and the<br />

costs are similar to those <strong>f<strong>or</strong></strong> structural <strong>com</strong>ponents <strong>of</strong> flywheel <strong>or</strong> surface mounted <strong>com</strong>pressed<br />

air systems.<br />

These costs may be <strong>com</strong>bined into an equation:<br />

C = C + C + C + C + C + C + C .<br />

SMES<br />

superconduct<strong>or</strong><br />

structure<br />

refrigerat<strong>or</strong><br />

cryostat<br />

PCS<br />

BoP<br />

controller<br />

This equation may be simplified by recognizing that superconduct<strong>or</strong> is a significant fraction <strong>of</strong><br />

the st<strong>or</strong>age related cost and is related to the st<strong>or</strong>ed energy (E) as discussed above. Most other<br />

energy related costs are linearly prop<strong>or</strong>tional to the st<strong>or</strong>ed energy as with other systems. Thus,<br />

we can estimate the cost variation as a function <strong>of</strong> st<strong>or</strong>ed energy by a rather straight<strong>f<strong>or</strong></strong>ward<br />

functional relation:<br />

2/3<br />

C<br />

SMES<br />

≈ C1<br />

⋅ E + C2<br />

⋅ E + C3<br />

⋅ P +<br />

C<br />

controller<br />

where E is given in kWh and P in kW. The value <strong>of</strong> C 1 relates to the cost <strong>of</strong> structure and most<br />

<strong>of</strong> the balance <strong>of</strong> plant, C 2 relates to the superconduct<strong>or</strong> and the enclosure, and C 3 relates to the<br />

power capacity <strong>of</strong> the plant i.e., the PCS cost. In summary, the costs are energy-related, powerrelated,<br />

<strong>or</strong> fixed. There are no maj<strong>or</strong> replacement costs <strong>f<strong>or</strong></strong> a SMES system with a 20-year life.<br />

All n<strong>or</strong>mal maintenance expenses are included in the O&M cost.<br />

Developments <strong>of</strong> the costs <strong>of</strong> large SMES plants <strong>f<strong>or</strong></strong> load levelling are included in several<br />

publications listed in the Bibliography. The costs <strong>of</strong> SMES plants <strong>f<strong>or</strong></strong> the three different<br />

applications under consideration are given in Table V <strong>f<strong>or</strong></strong> present costs and VI <strong>f<strong>or</strong></strong> NOAK costs.<br />

In these tables, the fixed costs are either ign<strong>or</strong>ed because they are small, <strong>or</strong> are included in one <strong>of</strong><br />

the other terms. NA indicates there are no data available. Fixed O&M costs are estimated from<br />

annual service contracts <strong>f<strong>or</strong></strong> the small SMES systems, and from industry estimates <strong>f<strong>or</strong></strong> the large,<br />

load-leveling SMES.<br />

SMES Page 18

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