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The mechanical effects of short-circuit currents in - Montefiore

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6. D.C. CONFIGURATIONS<br />

6.1. INTRODUCTION<br />

A reliable power supply <strong>of</strong> substations and power plants<br />

<strong>of</strong>ten needs the construction <strong>of</strong> enlarged d.c.<br />

<strong>in</strong>stallations <strong>in</strong> which batteries act as energy storage<br />

devices. Installations without batteries are fed through<br />

converter and controlled drives. For these systems to be<br />

safe, the knowledge <strong>of</strong> <strong>short</strong>-<strong>circuit</strong> strength is required.<br />

<strong>The</strong>refore it is necessary to study the <strong>currents</strong> and forces<br />

which can occur and to develop simplified methods for<br />

design <strong>of</strong> d.c. configurations.<br />

As shown <strong>in</strong> Figure 6.1, such d.c. auxiliary systems may<br />

<strong>in</strong>clude the follow<strong>in</strong>g equipment as possible sources <strong>of</strong><br />

<strong>short</strong>-<strong>circuit</strong> <strong>currents</strong> :<br />

– power converters;<br />

– stationary storage batteries;<br />

– smooth<strong>in</strong>g capacitors;<br />

– d.c. motors, e. g. motor-generator sets.<br />

Usually, the connections between the equipment are<br />

done by cables or rigid buses.<br />

D.c. auxiliary systems <strong>in</strong> substations and power plants<br />

are designed for ±24 V as well as for 220 V. Nom<strong>in</strong>al<br />

<strong>currents</strong> may be as high as 2,5 kA. <strong>The</strong> current capacity<br />

<strong>of</strong> the storage batteries ranges from 200 Ah up to 2000<br />

Ah. <strong>The</strong> capacity <strong>of</strong> smooth<strong>in</strong>g device is rather high; it<br />

is about 10 mF to 3 F.<br />

Peak values <strong>of</strong> <strong>short</strong>-<strong>circuit</strong> <strong>currents</strong> caused by power<br />

converters, storage batteries, smooth<strong>in</strong>g capacitors and<br />

electric motors may be estimated roughly as follows:<br />

– <strong>The</strong> peak value <strong>of</strong> the converter current may be 20<br />

times the nom<strong>in</strong>al current, lead<strong>in</strong>g to about 50 kA<br />

with nom<strong>in</strong>al <strong>currents</strong> <strong>of</strong> about 2,5 kA;<br />

– Estimation <strong>of</strong> the peak value <strong>of</strong> the battery current<br />

may be based upon the capacity; the peak value <strong>in</strong><br />

amperes is then 20 times the capacity <strong>in</strong> amperehours,<br />

e.g. 40 kA for 2000 Ah;<br />

– <strong>The</strong> peak current <strong>of</strong> the capacitor fed by a converter<br />

may be as high as the peak value <strong>of</strong> the converter<br />

current;<br />

– <strong>The</strong> peak value <strong>of</strong> the motor current is about as high<br />

as the start<strong>in</strong>g current, which is 4 to 10 times the<br />

nom<strong>in</strong>al current.<br />

High peak and steady-state <strong>short</strong>-<strong>circuit</strong> <strong>currents</strong> cause<br />

correspond<strong>in</strong>gly high <strong>mechanical</strong> and thermal stresses,<br />

which must be taken <strong>in</strong>to consideration at the design<br />

stage. Short-<strong>circuit</strong> <strong>currents</strong> and result<strong>in</strong>g <strong>mechanical</strong><br />

and thermal <strong>effects</strong> <strong>in</strong> three-phase systems may be<br />

calculated accord<strong>in</strong>g to IEC Publication 60909 [Ref 11]<br />

and IEC/EN Publication 60865-1 [Ref 2, Ref 3]. <strong>The</strong>se<br />

standards are based upon long-term research, those are<br />

about <strong>mechanical</strong> <strong>effects</strong> published <strong>in</strong> the CIGRE<br />

brochure [Ref 58]; this document has been revised <strong>in</strong><br />

1996 [Ref 1]. A standard for the calculation <strong>of</strong> <strong>short</strong><strong>circuit</strong><br />

<strong>currents</strong> <strong>in</strong> d.c. auxiliary systems has been<br />

published <strong>in</strong> 1997 [Ref 59], it is based upon [Ref 60]. A<br />

97<br />

standard for the <strong>mechanical</strong> and thermal <strong>effects</strong> has<br />

been published <strong>in</strong> 1997 [Ref 61]. In 2000, a Technical<br />

Report with an example <strong>of</strong> the d.c. <strong>in</strong>stallation shown <strong>in</strong><br />

Figure 6.1 was also published [Ref 62].<br />

In section 6.2, different <strong>short</strong>-<strong>circuit</strong> current<br />

characteristics as measured on a modell<strong>in</strong>g system are<br />

presented and a standardized characteristic is <strong>in</strong>troduced<br />

[Ref 60, Ref 63]. In section 6.3, the curve <strong>of</strong> the<br />

electromagnetic force, which corresponds to the<br />

standardized characteristic, is transformed <strong>in</strong>to a<br />

rectangular substitute time function which may be used<br />

for determ<strong>in</strong><strong>in</strong>g the <strong>mechanical</strong> and thermal stress [Ref<br />

64, Ref 65].<br />

Figure 6.1 Circuit diagram <strong>of</strong> a d.c. auxiliary system <strong>in</strong> a substation<br />

or a power plant.<br />

6.2. SHORT-CIRCUIT CURRENTS AND<br />

ELECTROMAGNETIC FORCES<br />

6.2.1. Short-<strong>circuit</strong> current characteristics measured<br />

For reasons <strong>of</strong> operational safety d.c. auxiliary systems<br />

are not available for <strong>short</strong>-<strong>circuit</strong> experiments.<br />

<strong>The</strong>refore, a model system for 24 V and 100 A has been<br />

designed, cf. Figure 6.2 [Ref 60, Ref 63]. It consists <strong>of</strong> a

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