Reliability (failure rate) with times of "early failures", "random failures", and "wear-out failures". The time of random failures is the time of constant failure rate The
reliability of a component is a property that indicates how reliably this component performs its function in a time interval. It is subject to a
stochastic process and can be described qualitatively and quantitatively, but is not directly measurable. The reliability of electrolytic capacitors is empirically determined by identifying the
failure rate in production accompanying
endurance tests. Reliability normally is shown as a
bathtub curve and is divided into three areas: early failures or infant mortality failures, constant random failures and wear out failures. Failures totalized in a failure rate are short circuit, open circuit, and degradation failures (exceeding electrical parameters). For polymer Ta-e-caps the failure rate is also influenced by the circuit series resistor, which is not required for polymer Al-e-caps. Billions of test unit-hours are needed to verify failure rates in the very low level range which are required today to ensure the production of large quantities of components without failures. This requires about a million units tested over a long period, which means a large staff and considerable financing. The tested failure rates are often complemented with feedback from the field from large users (field failure rate), which mostly lowers failure rate estimates For historical reasons the failure rate units of Ta-e-caps and Al-e-caps are different. For Al-e-caps the
reliability prediction is generally expressed in a
failure rate λ, with the unit
Failures In Time (
FIT) at standard operating conditions 40 °C and 0.5 UR during the period of constant random failures. This is the number of failures that can be expected in one billion (109) component-hours of operation (e.g., 1000 components for 1 million hours, or 1 million components for 1000 hours which is 1 ppm/1000 hours) at the standard operating conditions. This failure rate model implicitly assumes that failures are random. Individual components fail at random times but at a predictable rate. The reciprocal value of FIT is
Mean Time Between Failures (MTBF). For Ta-e-caps the failure rate "FTa" is specified with the unit "n % failures per 1000 hours" at 85 °C, U = UR and a circuit resistance of 0.1 Ω/V. This is the failure percentage that can be expected in 1000 hours of operation at much more demanding operational conditions compared with the "FIT" model. The failure rates "λ" and "FTa" depend on operational conditions including temperature, voltage applied, and various environmental factors such as humidity, shocks or vibrations and of the capacitance value of the capacitor. or military contexts. The latter is established in industry and often used for industrial applications. However, for polymer Ta-e-caps and polymer Al-e-caps no acceleration factors had been published as of 2016. An example of a recalculation from a tantalum capacitor failure rate
FTa into a failure rate
λ therefore only can be given by comparing standard capacitors. Example: A failure rate
FTa = 0.1%/1000 h at 85 °C and
U= UR shall be recalculated into a failure rate
λ at 40 °C and
U = 0,5
UR. The following acceleration factors from MIL-HDBK 217F are used: :
FU = voltage acceleration factor, for
U = 0,5
UR is
FU = 0.1 :
FT = temperature acceleration factor, for
T = 40 °C is
FT = 0.1 :
FR = acceleration factor for the series resistance
RV, at the same value it is = 1 It follows :
λ =
FTa x FU x FT x FR :
λ = (0.001/1000 h) × 0.1 × 0.1 × 1 = 0.00001/1000 h = 1•10−9/h = 1 FIT As of 2015 the published failure rate figures for polymer tantalum as well as for polymer aluminum capacitors are in the range of 0.5 to 20 FIT. These reliability levels within the calculated lifetime are comparable with other electronic components and achieve safe operation for decades under normal conditions.
Lifetime, service life The
life time,
service life, load life or useful life of electrolytic capacitors is a special characteristic of non-solid electrolytic capacitors, whose liquid electrolyte can evaporate over the time leading to wear-out failures. Solid tantalum capacitors with MnO2 electrolyte have no wear-out mechanism so that the constant failure rate least up to the point all capacitors have failed. They do not have a lifetime specification like non-solid Al-e-caps. However, polymer tantalum as well as polymer aluminum electrolytic capacitors do have a life time specification. The polymer electrolyte has a small conductivity deterioration by a thermal degradation mechanism of the conductive polymer. The electrical conductivity decreases as a function of time, in agreement with a granular metal type structure, in which aging is due to the shrinking of the conductive polymer grains. with rated voltage at the upper category temperature. Test conditions for passing the test are • no short circuit or open circuit • reduction of capacitance by less than 20% • increase of ESR, impedance or loss factor less than factor of 2 The specified limits for polymer capacitor degradation failures are much closer than for non-solid Al-e-caps. That means, the life time behavior of polymer e-caps are much more stable than for wet Al-e-caps. The lifetime specification for polymer capacitors is specified in similar terms to non-solid Al-e-caps with a time in hours at maximum voltage and temperature, for example: 2000h/105 °C. This value can be used for an estimation of an operational life time at individual conditions by a formula called "20-degree-rule": :L_x =L_\text{Spec}\cdot 10^\frac{T_0-T_A}{20} •
Lx = life time to be estimated •
LSpec = specified life time (useful life, load life, service life) •
T0 = upper category temperature (°C) •
TA = temperature (°C) of the e-cap case or ambient temperature near the capacitor This rule characterizes the change of thermic polymer reactions speed within the specified degradation limits. According to this formula the theoretical expected service life of a 2000 h/105 °C polymer capacitor, which is operated at 65 °C, can be calculated (better estimated) with about 200,000 hours or approximately 20 years. For hybrid polymer Al-e-caps the 20-degree rule does not apply. The expected life of these polymer hybrid e-caps can be calculated using the
10-degree rule. For above conditions e-caps with a liquid electrolyte can expect a life time of 32,000 hours or approximately 3.7 years.
Failure modes, self-healing mechanism and application rules Field crystallization Polymer capacitors, tantalum as well as aluminum, are reliable at the same high level as other electronic components with very low failure rates. However, all tantalum electrolytic capacitors, including polymer tantalum, have a unique failure mode called "field crystallization". Field crystallization is the major reason for degradation and catastrophic failures of solid tantalum capacitors. More than 90% of the today's rare failures Ta-e-caps are caused by shorts or increased leakage current due to this failure mode. The extremely thin oxide film of a tantalum electrolytic capacitor, the dielectric layer, must be formed as an amorphous structure. Changing the amorphous structure into a crystallized structure increases conductivity, reportedly by 1,000 times, and also increases the oxide volume. Field crystallization followed by a
dielectric breakdown is characterized by a sudden rise in leakage current, within a few milliseconds, from nano-ampere magnitude to ampere magnitude in low-impedance circuits. Increasing current flow can be accelerate as an "avalanche effect" and rapidly spread through the metal/oxide. This can result in various degrees of destruction ranging from rather small, burned areas on the oxide to zigzag burned streaks covering large areas of the pellet or complete oxidation of the metal. If the current source is unlimited a field crystallization may cause a capacitor
short circuit. However, if the current source is limited in solid MnO2 Ta-e-caps a self-healing process take place oxidizing MnO2 into insulating Mn2O3 In polymer Ta-e-caps combustion is not a risk. Field crystallization may occur, however. In this case, the polymer layer is selectively heated and burned away by the increasing leakage current so that the faulty point is isolated. Since the polymer material does not provide oxygen, the leakage current can not accelerate. However, the faulty area no longer contributes to the capacitors capacitance.
Self-healing Polymer Al-e-caps exhibit the same self-healing mechanism as polymer Ta-e-caps. After application of a voltage at weakened spots in the oxide, a localised higher leakage current path is formed. This leads to a local heating of the polymer; whereby the polymer either oxidises and becomes highly resistive – or evaporates. Also, hybrid polymer Al-e-caps show this self-healing mechanism. However, liquid electrolyte can flow to the faulty spot and can deliver oxygen to build up new dielectric oxide. This is the reason for relatively low leakage current values for hybrid polymer capacitors.
Application rules The many different types of polymer electrolytic capacitors show differences in electrical long-term behavior, their inherent failure modes, and their self-healing mechanism. To ensure safe operation, manufacturers recommend different application rules, oriented on type behavior, see following table: == Additional information ==