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AC to DC Line Conversion -
It’s time to think about it
October 2006
By Lionel O. Barthold, i-Mod, Inc.
Speculation over conversion of ac lines to dc goes back almost as far
as HVDC itself. It’s an idea easily quashed by the fact that you pay for
terminals rated at total DC MW and gain only the incremental
capability over the ac case. Furthermore dc conversion idled a third
of the ac transmission asset. And even if you’d cleared those hurdles,
engineers were reluctant to take full advantage of dc’s control
capability – a necessary step to make full use of dc’s capability in an
ac system context. In any case construction of new ac lines were a
vastly less inexpensive way to expand transmission capability.
So what’s new?
- New transmission is extremely expensive or can’t be built at
all.
- FACTS, reconductoring, temperature monitoring are helping
stretch ac capability but within limits and often at a high cost in
losses.
- Communication and control technology has made huge advances.
Wide Area Management Systems (WAMS), coupled with very sophisticated
FACTS options, are polite to talk about.
- An HVDC configuration has been introduced which makes full
thermal use of all three phase positions of an ac line.
It’s time to look again at the conversion prospect;
perhaps with a mind-set that considers dc as the ultimate FACTS device
- one that controls flow and boosts transfer capability of existing,
in-place assets by up to 4:1.

DC on all three phase positions…without earth return current?
The principle is very simple. In fig. 1a, suppose
Pole 1 and Pole 2 operate as a bipole, at the maximum allowed conductor
rating. Pole 3 is idle. Power is 1.00
In fig. 1b let pole 3 relieve a portion of the
positive current in pole 1, then a portion of the negative current in
pole 2; alternating back and forth every five minutes or so to prevent
conductor temperature rise of more than one or two degrees C. Power is
still 1.00 but the average heating in all poles is below rating.
So increase the current (and power) and adjust the
ratio of current levels until all three poles are fully loaded thermally
(Fig. 1c). Power is now 1.37
No ground current flows in any of the above cases.
Upon loss of either a pole in the tripole configuration, it
reverts to a bipole with a rating of 1.00; or considering overload
capability, something like 1.15 – a loss of just 16% of full power
rating compared to a drop to 50% (57% with the same overload assumption)
– a drop of 43%.
The “tripole” HVDC configuration shown in fig. 2
is basically a parallel bipole and monopole configuration except that
(a) all thyristors and cooling systems are rated 1.37 times the bipole
rating (Note 1); other equipment remains the same and (b) pole three has
back-to-back antiparallel valves. Those differences also give the
tripole an inherently higher short term overload capability.
The above characteristics translate into higher
(n-1)-constrained loading of parallel ac lines and greater total path
transfer per kW of terminal rating. They also permit a higher allowable
DC rating within (n-1) constraints.
While the tripole configuration will cost
approximately 15% to 20% more per kW than a bipole, the gain in power
boost means that the cost per incremental kW over the former ac
case will drop.
DC conversion vs. AC system fixes
It’s relatively inexpensive to install switched
capacitors, FACTS devices, or phase-shifting solutions, thereby
optimizing both pre- and post-contingency load distribution among ac
circuits; certainly compared to new line construction. However a
realistic evaluation of the net present value of the increase in losses
resulting from boosting ac loading on an already heavily loaded system
will show that cost can be an order of magnitude greater than the cost
of hardware installed to achieve the increase. And, irrespective
of ac system fixes, fast or slow, (n-1)-constrained dispatch will always
be limited by post-contingency thermal capability of one or more
circuits. Increasing those thermal limits or adding new circuits soon
becomes the frontier – the only way to increase (n-1) constrained
dispatch.
There are relatively inexpensive ways to extend
thermal limits e.g. dynamic conductor rating systems, sag monitoring,
and sag mitigation devices. But where does one go when the last trick is
played? Reconductoring? - An attractive option but if it increases only
maximum thermal rating and not conductivity (e.g. low-sag conductor
options) the gain may again come with heavy penalty in losses, particularly
for longer lines.
HVDC achieves a major boost in path capability
Conversion of an ac circuit to HVDC may not be as
expensive as it seems. It achieves a very high boost in thermal rating,
modest increase in losses, and provides the flow control necessary to
take full advantage of that increase.
DC operates at peak voltage, giving a √2 advantage
in power level. But, that advantage is reduced by 2/3 for the bipole
since one phase position is rendered inactive by conversion. The
resulting multiplier is just .94. By using the “tripole” system, the
multiplier becomes1.3. Neither boost is heroic in its own right, but
there are four additional multipliers to consider:
- The DC voltage sustainable by an ac line is often significantly
higher than line-to-ground crest of ac
- DC power flow is controlled independent of the AC system
dispatch and can therefore contribute the equivalent to its
maximum thermal rating to total dispatch
- If DC is configured to assume a high temporary overload, it can
increase the (n-1) constrained loading on parallel ac circuits, thus
multiplying the effectiveness of the converter terminal investment
- Power factor limits utilization of an ac for real power
transfer. While DC requires reactive support (Note 2) , the full
capability of the transmission line conductors is used for real
power flow.

These factors can push the dc/ac multiple to as
high as 4:1 and do so without any physical modification of the line
other than live-line replacement of ac insulators with dc units of the
same length.
Conversion of a critical line to HVDC can be
achieved without removing it from service by constructing terminals
abutting existing substations, temporary off-hour switch-over for
commissioning tests…then final switchover to DC operation. If one
simultaneously reconductors, the leverage achieved by ac reconductoring
can be multiplied by the ac to dc power ratio. It makes sense to
initially switch over to bipole HVDC, leaving one phase position idle
for reconductoring, sequentially freeing the other two phase positions
for the same purpose, and then going to tripole operation.
Conversion of a critical line to HVDC can be
achieved without removing it from service by constructing terminals
abutting existing substations, temporary off-hour switch-over for
commissioning tests…then final switchover to DC operation. If one
simultaneously reconductors, the leverage achieved by ac reconductoring
can be multiplied by the ac to dc power ratio. It makes sense to
initially switch over to bipole HVDC, leaving one phase position idle
for reconductoring, sequentially freeing the other two phase positions
for the same purpose, and then going to tripole operation. Conversion
may have other important advantages:
-
DC reduces rather than increases short circuit
duty
-
DC and can send more dynamic support per unit
of rating than ac, and can supply it faster. AC synchronizing power
flows as a consequence of a worsening situation (greater angle
separation) while dc acts upon recognition of the problem.
Making
full use of dc’s capability requires closer integration of control logic
with ac system operating data than is usual, but this is exactly what
the move to more sophisticated FACTS controllers and WAMS in general
call for.
Is there an economic case for conversion?
If one of four identical ac lines is converted to tripole at a voltage
no greater than ac line-to-ground crest, the resulting (n-1)-constrained
path flow in increased as much as it would be by construction of a fifth
ac line. If the dc voltage can be increased 25% above line-to-ground
crest, the increase is equivalent to construction of 1.4 new circuits.
If, in addition to increased voltage (made easier by reconductoring) new
conductors of twice the original thermal rating are installed as a part
of the conversion project, the (n-1)-compliant result would be
equivalent to almost four new ac circuits.
It is worth doing the arithmetic in specific cases,
particularly where lines are relatively long…or made to be long by
abstracting one of several parallel circuits between successive busses,
making an “express” dc circuit and feeding intermediate loads from the
lines remaining in ac service. (fig. 4)
Today’s planning context suggests that dc conversion alternatives should
be included in studies to extend the usefulness of existing transmission
line assets.
Notes:
- Since thyristor valves come in only two standard sizes, 100 mm =
2.1 kA and 125 mm = 3.5 kA, the penalty in valve cost is significant
only when the 1.37 factor drives one to the higher option.
- While conventional HVDC, bipole or tripole, is difficult to
apply to systems of low short-circuit ratio, VSC-based systems, can
also be adopted to tripole by using thyristors on the modulating
pole, thus gaining the advantages cited above even with service to a
dead load. [3].
References:
- L.O.Barthold, H.K.Clark, D. Woodford, “Principles and
Applications of Current-Modulated HVDC Transmission Systems," IEEE
T&D Conference, Dallas, Tex. May 21-26 2006.
- L.O.Barthold, “Technical and Economic
Aspects of Tripole HVDC” Powercon2006; 22-26 October, 2006
Chongqing China
- L.O.Barthold, D. Woodford, “Application of Voltage Sourced
Converters to Tripole HVDC Transmission,” 9th FACTS Users Group &
Task Force Meeting, Montreal Quebec, Sept. 6-8, 2006
For questions, comments and further discussion, contact us at
mailto:info@pterra.us or Lionel at
imod@adelphia.net
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