ISRO Scientist Electrical study materials
ISRO Scientist Electrical study resources

ISRO Scientist Electrical key terms

ISRO Scientist Electrical · Get comfortable with the vocabulary.

Thevenin equivalent circuit

A two-terminal linear network reduced to a single voltage source in series with a resistance, where the source equals the open-circuit voltage and the resistance is measured with all independent sources set to zero.

Related: Norton equivalent circuit, Superposition theorem
Superposition theorem

In a linear circuit with multiple independent sources, the total response in any branch equals the algebraic sum of responses produced by each source acting alone, with other independent sources deactivated.

Related: Thevenin equivalent circuit
Norton equivalent circuit

A linear two-terminal network modeled as a current source in parallel with a resistance, where the current is the short-circuit current and the resistance matches the Thevenin resistance.

Related: Thevenin equivalent circuit
Resonant frequency

The frequency at which a circuit's inductive and capacitive reactances cancel, making the impedance purely resistive; for a series RLC network it equals one over two pi root LC.

Related: Quality factor, Bandwidth
Quality factor

A dimensionless measure of resonator selectivity, equal to the ratio of stored energy to energy dissipated per cycle, or the resonant frequency divided by the half-power bandwidth.

Related: Resonant frequency, Bandwidth
Bandwidth

The range of frequencies between the half-power points of a resonant or filter response, where output amplitude falls to roughly 0.707 of its maximum value.

Related: Quality factor, Resonant frequency
Two-port network parameters

A set of matrix coefficients (Z, Y, h, or ABCD) relating input voltage and current to output voltage and current of a network, used to cascade and analyze interconnected stages.

Related: Symmetrical network
Symmetrical network

A two-port network whose input and output ports are interchangeable without changing port currents and voltages, implying equal diagonal elements in its Z or Y parameter matrix.

Related: Two-port network parameters
Transient response

The temporary behavior of a circuit or system between the instant an input or disturbance is applied and the moment steady-state conditions are reached, governed by natural frequencies and initial conditions.

Related: Time constant, Laplace transform
Time constant

The interval after which a first-order exponential response decays to about 36.8 percent of its initial value, equal to resistance times capacitance or inductance divided by resistance.

Related: Transient response
Eddy current loss

Power dissipated as heat by circulating currents induced in a magnetic core by alternating flux; it rises with the square of frequency and flux density and is reduced by thin laminated or ferrite cores.

Related: Hysteresis loss, Transformer equivalent circuit
Hysteresis loss

Energy lost per cycle as the magnetic domains of a core reverse magnetization, proportional to the area of the B-H loop and to frequency, and minimized by using soft magnetic materials.

Related: Eddy current loss
Transformer equivalent circuit

A model that represents a transformer's winding resistance, leakage reactance, magnetizing branch, and core-loss branch, usually referred to one side for voltage regulation and efficiency calculations.

Related: Voltage regulation, Eddy current loss
Voltage regulation

The percentage change in secondary terminal voltage when full load is removed while the primary supply voltage and frequency are held constant, indicating how well a transformer holds its output.

Related: Transformer equivalent circuit
Slip

The fractional difference between synchronous speed and actual rotor speed of an induction machine, expressed as a fraction or percentage and essential for computing rotor frequency and torque.

Related: Synchronous speed, Torque-slip characteristic
Synchronous speed

The rotational speed of the rotating magnetic field, equal to 120 times supply frequency divided by the number of poles, and the speed at which a synchronous machine runs at steady state.

Related: Slip, Synchronous reactance
Torque-slip characteristic

The curve relating electromagnetic torque of an induction motor to slip, showing starting torque, maximum (breakdown) torque, and the near-linear stable operating region at small slip.

Related: Slip
Synchronous reactance

The effective reactance of a synchronous machine armature winding that accounts for armature reaction and leakage flux, used in the phasor model to relate terminal voltage and internal emf.

Related: Synchronous speed, Power angle
Power angle

The phase angle between the internal excitation emf and the terminal voltage of a synchronous machine; it determines the air-gap power transferred, which varies as the sine of this angle.

Related: Synchronous reactance
Per-unit system

A normalization method in which voltages, currents, powers, and impedances are expressed as fractions of chosen base values, simplifying transformer ratios and fault calculations across voltage levels.

Related: Symmetrical components, Fault level
Symmetrical components

A technique that resolves an unbalanced three-phase set of phasors into positive, negative, and zero sequence balanced sets, enabling separate analysis of unsymmetrical faults and unbalanced loads.

Related: Per-unit system, Distance relay
Fault level

The maximum short-circuit apparent power a network can deliver at a given point, equal to nominal voltage times short-circuit current, used to select switchgear breaking capacity.

Related: Per-unit system, Circuit breaker
Distance relay

A protective relay that estimates the impedance between its location and a fault from measured voltage and current, tripping when the impedance falls within a set zone characteristic.

Related: Symmetrical components
Circuit breaker

A switching device that makes and breaks load and fault currents and extinguishes the arc between contacts, rated by breaking capacity, making capacity, and short-circuit duration.

Related: Fault level, Surge arrester
Surge arrester

A protective device that clamps overvoltages by diverting surge current to earth through a nonlinear element and then restores high impedance at normal operating voltage.

Related: Circuit breaker
Transfer function

The ratio of the Laplace transform of a system output to that of its input under zero initial conditions, describing the system's dynamics independently of the input signal.

Related: Pole-zero plot, Bode plot
Pole-zero plot

A graphical map of the roots of a system's denominator (poles) and numerator (zeros) in the complex s-plane, whose positions reveal stability and response speed.

Related: Transfer function, Routh-Hurwitz criterion
Routh-Hurwitz criterion

An algebraic test on the coefficients of a characteristic polynomial that determines the number of closed-loop poles in the right half-plane without explicitly solving for the roots.

Related: Pole-zero plot
Bode plot

A pair of logarithmic frequency-response graphs showing magnitude in decibels and phase in degrees versus frequency, used to assess gain margin and phase margin of a feedback system.

Related: Transfer function, Nyquist criterion
Nyquist criterion

A stability test that relates the number of encirclements of the minus-one point by the open-loop frequency response to closed-loop right-half-plane poles.

Related: Bode plot
Duty cycle

The fraction of each switching period during which a semiconductor switch conducts; it sets the ideal voltage conversion ratio of choppers and switched-mode converters.

Related: Pulse-width modulation
Pulse-width modulation

A technique that varies switch on-time within a fixed period to synthesize an average voltage or current, widely used for inverter voltage control and harmonic shaping.

Related: Duty cycle, Total harmonic distortion
Total harmonic distortion

The ratio of the root-sum-square of all harmonic components to the fundamental component of a waveform, expressed as a percentage of the fundamental.

Related: Pulse-width modulation
Commutation

The process by which current transfers from one conducting device or phase to another, such as from a thyristor to the next in a converter or from a brush to a commutator segment.

Related: Duty cycle
Virtual short

The near-zero differential input voltage of an ideal operational amplifier in negative feedback, causing the inverting input to track the non-inverting input potential without a physical connection.

Related: Slew rate, Setup and hold time
Slew rate

The maximum rate of change of an amplifier output voltage, usually quoted in volts per microsecond, which limits large-signal high-frequency performance.

Related: Virtual short
Setup and hold time

The minimum intervals before and after an active clock edge during which a flip-flop data input must remain stable for reliable capture, defining timing constraints in synchronous digital circuits.

Related: Virtual short
Nyquist sampling theorem

A bandlimited signal must be sampled at more than twice its highest frequency component to be reconstructed without aliasing, setting the minimum sampling rate for digital processing.

Related: Aliasing, Z-transform
Aliasing

The false low-frequency component that appears when a signal is sampled below the Nyquist rate, making distinct frequencies indistinguishable after reconstruction.

Related: Nyquist sampling theorem
Z-transform

The discrete-time counterpart of the Laplace transform, converting a sequence into a function of a complex variable to analyze stability and response of sampled-data systems.

Related: Nyquist sampling theorem
Routh array

A tabular arrangement of characteristic-polynomial coefficients built row by row to count right-half-plane roots and reveal marginal stability conditions.

Related: Routh-Hurwitz criterion
Skin effect

The tendency of alternating current to concentrate near the surface of a conductor, raising effective resistance and reducing internal inductance as frequency increases.

Related: Corona discharge
Corona discharge

A partial electrical breakdown of air near high-voltage conductors where the local field exceeds the breakdown strength, causing power loss, audible noise, and radio interference.

Related: Skin effect, Surge arrester
Eigenvalue

A scalar by which an eigenvector is scaled when a square matrix multiplies it; eigenvalues determine system stability and natural modes in state-space models.

Related: Eigenvector
Eigenvector

A nonzero vector whose direction is unchanged by multiplication with a square matrix, only scaled by the corresponding eigenvalue.

Related: Eigenvalue
Laplace transform

An integral transform converting a time-domain function into the complex s-domain, turning linear differential equations into algebraic equations for easier solution.

Related: Transfer function, Transient response
Newton-Raphson method

An iterative numerical technique that updates a guess using the function value divided by its derivative, converging quadratically near a simple root of an equation.

Related: Laplace transform
Time complexity

A measure of how an algorithm's running time grows with input size, commonly expressed in big-O notation to compare scalability of alternative solutions.

Related: Stack, Binary search
Stack

A linear data structure with last-in first-out access, supporting push and pop at one end, used for recursion, expression evaluation, and backtracking.

Related: Time complexity
Binary search

A search algorithm that repeatedly halves a sorted array by comparing the target with the middle element, achieving logarithmic time complexity.

Related: Time complexity, Stack
Ratio and proportion

The comparison of two quantities by division and the statement of equality between two such comparisons, used to solve mixture, partnership, and scaling problems quickly.

Related: Time and work
Time and work

A quantitative aptitude topic where rates of doing work are added for combined effort, with the total work often set to the least common multiple of completion times.

Related: Ratio and proportion